Sunday, November 30, 2014

GENERAL KNOWLEDGE



RATIO & PROPORTION

1. Three numbers are in the ratio 1/3:1/4:1/5, if the difference between the second and the third is 111, find the difference between the first and the second.
(a) 156            (b) 185               (c) 165            (d) 158        (e) None
2. Two-thirds of Geetha’s marks in English equals three-fourths of her marks in Maths. If she obtained 153 marks in the two subjects together, how many marks Did she get in Maths?
(a) 81            (b) 82               (c) 72            (d) 45        (e) None
3. A sum of money is divided among A,B, and C in such a way that 5 times A’s share, 3 times B’s share, 2 times C’s share are equal. Find the ratio between the shares of A,B and C.
(a) 5:3:2            (b) 2:3:5               (c) 15:10:6           (d) 6:10:15        (e) None
4. Rs. 3,000 are divided among A,B and C so that if Rs.20, Rs.40 and Rs.60 are taken out from their shares respectively, they will have money in the ratio 3:4:5. Find the share of B.
(a) Rs. 960            (b) Rs.1000        (c) Rs.1260        (d) Rs.690        (e) None
5. Subha gave two-thirds of her money to Radha and Radha in turn gave three-fourths of what she got from Subha to Geetha. What is the share of Geetha, if Subha has Rs.112 with her now
(a) Rs. 136            (b) Rs.145        (c) Rs.154        (d) Rs.168        (e) None
6. 5 Mangoes and 4 Oranges cost as much 3 Mangoes and 7 Oranges. The ratio of the cost of the one Mango to one Orange is:
(a) 2:3                  (b) 3:2               (c) 3:4            (d) 4:3           (e) None
7. 729ml of a mixture contains milk and water in the ratio 7:2. how much water is to be added to get a new mixture containing milk and water in the ratio 2:1?
(a) 112.5ml            (b) 125 ml         (c) 121.5 ml            (d) 215 ml        (e) None
8. 9 men have done 3/5 of a piece of work in 14 days How many extra men must be engaged in order that the rest of the work may be finished in 4 days
(a) 21            (b) 12               (c) 15                 (d) 45               (e) None
9. In a camp, sufficient food was stored to last for 16 men for 45 days. After 15 days, 6 men left the camp. How long will the food last for the remaining men?
(a) 40            (b) 48                  (c) 50            (d) 45              (e) None
16m————–45
After 15days
16m—————-30
10m—————–?
16/10*30=48
10. In a fort, there was provision for 50 days After 5 days, 250 additional soldiers joined the group in the fort and provisions lasted for 30 days only. How many soldiers were there originally?
(a) 300            (b) 400                  (c) 500///            (d) 450              (e) None
Sol:      X          à  45
X +250 à  30
30(x+250) = 45x
11. In a musical programme at Ravindra Bharathi 10% of the audience left the hall after the 1st song 20% of the remaining left after 2nd song 25% of the remaining went out after 3rd song. Now after the 10 minute intermission 36 people came back after having snacks all remained till 5th song which was the last and the final number in the hall was found to be 360. What was the initial no. in the audience?
(a) 500            (b) 400                  (c) 600          (d) 800              (e) None
12. A man sends 80% of his income. With the increase in cost of living his expenses also increase by 37 ½ % and his income increases by 16 2/3 % Find his present percentage of savings.
(a) 5 5/7 %            (b) 4 6/7 %       (c) 4 5/7 %            (d) 5 %             (e) None
13. A stationary engine has enough fuel to move 12 hours when its tank is 4/5 full, how much hours will it run when the tank is 1/3 full.                                                (TCS)
12——–4/5
?———1/3
1/3/4/5*12=5hrs
14.  If 5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days then how many artists required to make 25 paintings using 25 canvases in 25 days?         (INFOSYS)
25artists
15. What number should be added to or subtracted from each term of the ratio 17:24 so that it becomes equal to 1:2                                                                                   (TCS)
10subtracted in each
16.40 people can do a work in 60 days. After every 10 days 5 persons keeps leaving the job. In how many days will the job be completed.                                   (CTS)
40————–60days
17.A car wash can wash 8 cars in 18 minutes, At this rate, how many cars can the car wash in 3 hours?                                                                                                        (WIPRO)
8———-18min
?———-180min
180/18*8=80cars
18.If the ratio of the areas of 2 squares is 2:1, then the ratio of the perimeters of the squares is                                                                                   (WIPRO)
2:1
19.If 20 men can build a wall 56m long in 6 days, then what length  of a similar wall can be built by 35 men in   3  days?                                                                (IBM)
20m——56m——–6days
35m——?————3days
20/35*3/6*56=16m
20.HCL prototyping machine can make 10 copies every 4 seconds. At this rate, How many copies can the machine make in 6 min                                     (HCL)
10————4sec
?————–360
360/4*10=900copies
21.The ratio of no. of boys & girls in a school is 3:2 Out of these ?% the boys & 25% of girls are scholarship holders. % of students who are not scholarship holders.?          (Tech-Mahindra)
22.15 Men take 21 days of 8 hrs each to do a piece of work. How many days of 6 hrs each would do if 21 women take. If 3 women do as much work of 2 men.
3w=2m
21w=14m
15—–21—-8
14—–?——6
15/14*8/6*21=30days                                                                    (Tech-Mahindra)


PARTNER SHIP

1. A,B,C invested Rs. 8000/- and Rs.8800/- . find the share of each out of the total profit Rs. 1260.
(a) 440,510,453         (b) 420,400,500        (c) 400,420,440        (d) 400,420,480    (e) None
2. A,B, started a business investing Rs.2800/- and Rs. 2100/- A is paid 12 ½% of profits as sellers commission. If the total profits were Rs.800. Find the share of A and B.
(a) 400, 800      (b) 300,400        (c) 500,300     (d) 400,540   (e) None
3. A,B, and C are partners in a business. A’s capital is equal to twice B’s capital and B’s capital is 3 times C’s capital. If the difference of profit of A and C is 1500/- what is the share of B?
(a) Rs. 450            (b) Rs. 500        (c) Rs. 800        (d) Rs. 900        (e) None
4. Started a business by investing Rs 2,700. After sometime B joined him by investing Rs 2,025. At the end of one year, the profit was divided in the ratio 2 :1. After how many months did ‘B’ join the business.
(a) 5 Months         (b) 4 Months        (c) 6 Months      (d) 9 Months     (e) None
5. Sheela, Leela and Bala rented a house together for 2 years ar Rs 720 yearly rent. They remained together for 5 months and then Bala left. After 4 months more Leela also left. How much rent should each pay?
a) 100,220,900        (b) 100,220,10000       (c) 100,220,1120     (d) 400,420,480      (e) None
6. A,B and C can do a work in 20,25 and 30 days respectively. They undertook to finish the work together for Rs.2,220/- then the share of A exceeds that of B by?
(a) Rs. 180         (b) Rs. 90      (c) Rs.360        (d) Rs. 170        (e) None
7. A,B, and C invest a total sum of Rs.53,000. A invests Rs.7,000 more than B, where as B invests Rs. 8,000 more than C. How much is the share of B out of a profit of Rs.10,600/-
(a) Rs. 3,500    (b) Rs. 3,550    (c) Rs.3,650    (d) Rs. 3,600    (e) None
8. If Rs. 1260 is divided between A,B and C in the ratio 2:3:4, what is C’s share?    (TCS)
9. A sum of money is divided among A,B and C such that for each rupee A gets, B gets 65 paise and C gets 35 paise. If C’s share is Rs.560, the sum is …….
10. Mr. X starts a business with a capital of Rs. 1700 and admits two partners Mr. Y and Mr. after 3 months and 6 months respectively. After a year the profits are divided in the ratio of 2:3:5, what amount did Mr.Y and Mr.Z contribute.
(a). 3400,8500               (b) 3000,8900              (c) 4000,6000                (d) None

Alligatation or Mixtures

1. In what proportion must rice at Rs 3.10 per kg be mixed with rice at Rs 3.60 per kg, so that  the mixture be worth Rs 3.25 a kg?
a)  3:7             b) 7:3                 c) 5:2                        d)2:5               e)None
2. A tea producer blends two qualities of tea from two different gardens, one costing Rs.27 per kg and the other Rs.30 per kg. in the ratio 5:3. He sells the blended tea at Rs.30.25  per kg. find his percentage profit.
a)  5 7/9%                  b) 9 5/7%          c) 7 5/9%                 d)10%             e)None
3. One alloy contains 60% of gold; another contains 80% of gold. A new alloy is made of 2 parts of the first to 3 parts of the second. How much percent of the mixture is gold.
a)  50%                       b) 60%                           c) 72%                      d)54%             e)None
4. How many bananas of 6 for 24 p should be mixed with 300 bananas at 7 for 56 p so that they should all be worth 84 p a dozen?
a)  100                          b) 200                          c) 300                       d)400              e)None
5. In a zoo, there are some rabbits and pigeons. If their heads are counted, these are 100 while their legs are 260. how many pigeons are there?
a)  30                b) 70                          c) 60                          d)40                 e)None
6. How much water should be added to 175 liters of milk at Rs.8.00 litre so as to have a mixture worth Rs.7.00 per litre?
a)  27 litres        b) 35 litres                  c) 25 litres                   d)24 litres      e)None
7. Rs. 400 were distributed among 100 boys and girls so that each boy gets Rs.5.00 and each girl Rs. 2.50. find the number of boys.
a)  45                b) 35                          c) 25      d)60             e)None
8. A mixture of 40 litres of milk and water contains 10% of water. How much water must be added to make the water 20% of the resulting mixture?
a)  10 litres        b) 7 litres                    c) 5 litres                     d)3 litres      e)None
9. Two vessels contain mixtures of juice and water in the ratio 8:3 and 5:1. in what ratio must   liquid be drawn from each vessel to give a mixture in the ratio 4:1.
a)  5:6               b) 6:11                       c) 11:24                       d)7:7              e)None
10. One pot contains mixture of milk and water in the ratio 5:3 and another in the ratio of 3:4.  how much mixture should be taken out of the second pot to mix with 48 kgs of first pot so that in the final mixture the ratio of milk and water may, 3:2
a)  8 kgs                      b) 7 kgs                        c) 17 kgs                     d)16 kgs      e)None
11. 2 lt of mixture has 1/3 water and rest spirit. It is mixed with 5 lt of sample with 1/5 water and  rest spirit. Find the ratio of water and spirit.               (SATYAM COMPUTERS)
12. A 3 gallon mixture contains one part S and two parts R. in order to change it to mixture containing 25% S, how much R should be added?                                            (TCS)
13. A certain type of mixture is prepared by mixing brand A at Rs. 9 a kg. with brand B at Rs. 4 a kg. if the mixture is worth Rs.7 a kg., how many kgs. Of brand A are needed to make 40 kgs.  of the mixture?                                                                                                           (M-PHASIS)
14. Milk and water are mixed in a vessel A in the proportion 3:2 and in the vessel B in the proportion 5:2, in what proportion should quantities be taken from the two vessels so as to form a mixture in which the milk and water will be in the proportion of 7:5?                (SATYAM COMPUTERS)
15. There r two jars. In the first jar there is 25% Milk and in the second jar there is 50% milk.  What ratio of milk should be added to get 12 lit of milk from the two jars such that  we get  62.5% Milk in the whole mixture?                                                       (CTS)
16. A 5 litre jug contains 4 litres of a salt water solution that is 15 percent salt. If 1.5 litres of
the solution spills out of the jug, and the jug is then filled to capacity with water, approximately  what percent of the  resulting solution in the jug is salt?  (HCL)
(A)7.5%      (B)9.5%      (C) 10.5%        (D)12%       (E)15%
17. There is 20 liter solution containing 10% water and 90% spirit. How much water should be added to make the solution containing 25% water?                                   (IBM)
18. Two glasses were filled with 1/3 and 1/4 milk. They were filled with water &then mixed in tumbler. What is the percentage of milk in the resultant?                         (IBM)
19.In a 20 liter mixture of milk and water, the ratio of milk and water is 3:1. How much
milk is to be mixed with the mixture so as to make the ratio 4:1.                        (IBM)
20. There are two containers on a table. A and B. A is half full of Wine, while B, which is twice A’s size, Is one quarter full of wine. Both containers are filled with water and the contents are poured into a third contained C. what portion of container C’s mixture is wine?           (INFOSYS)

PROFIT , LOSS & DISCOUNT

1. The cost price of an article is Rs. 1250 and profit earned is Rs.250. find the
percentage of profit.
(a) 10            (b) 12                  (c) 15              (d) 20               (e) None
2. A man brought an article for Rs. 7,050 and sold it at a loss of Rs. 564. Find the
percentage of loss.
(a) 6.5            (b) 8                  (c) 12.5           (d) 15                 (e) None
3. A man sells an article at 25% profit. Had he bought it at 25% less and sold it for Rs.25
le ss, he would have gained 25%. Find the cost price of the article.
(a) Rs. 60         (b) Rs. 80       (c) Rs75         (d) Rs. 50            (e) Rs. 1000
4.. A profit of 30% is made on goods when a discount of 20% is given on the list price. If a
discount of 30% is given on the list price the profit will be.
(a) 20 %          (b) 16 2/3%        (c) 13 ¾%      (d)  14 ¼ %20    (e) 10%
5. By selling an article for Rs.1,914 a man gains Rs.264. find his profit percent.
(a) 12            (b) 14                  (c) 15               (d) 16                 (e) None
6. A delar sold an article for Rs. 1,350 gaining 12.5 percent. What is his cost price
(a) Rs. 1,200   (b) Rs. 1,300       (c) Rs 1,256    (d) Rs. 1,365     (e) None
7. Suresh sold an article for Rs.6,800 gaining 6.25 percent. Find the actual gain to Suresh
(a) Rs. 350      (b) Rs. 460          (c) Rs 360     (d) Rs. 400          (e) None
8.  An article was sold at a loss for Rs 80. Had it been sold for Rs.116 the gain would have
been 4/5 of the former loss. Find the cost of the article.
(a) Rs. 120      (b) Rs. 110          (c) Rs108     (d) Rs. 100           (e) None
9. The cost of a pant is 60% of the cost of a coat and 120% of the cost of a shirt. If all the
three cost Rs 630, the cost of the shirt is…
(a) Rs. 135      (b) Rs. 150          (c) Rs147.50     (d) Rs. 160           (e) 140
10. By selling 300 apples a seller gains the selling price of 60 apples. The gain of the seller is …
(a) Rs. 200      (b) Rs. 20%          (c) Rs 25%     (d) Rs. 16 2/3%       (e) Rs. 120
11. A retailer sells an article at a loss of 12%. Had he sold the article for Rs. 51.80 more he
would have gained 6%. What is the cost price of the article?
(a) Rs. 216        (b) Rs. 175          (c) Rs139       (d) Rs. 280              (e) None

12. Kabir purchased 6 articles for Rs. 5 and sold them at the rate of 5 articles for Rs.6. Find
his gain percent.
(a) 21 %             (b) 33%                (c) 44%          (d)  55%                 (e) None
13. A reduction of 20% in the price of sugar enables a consumer to obtain 2.5kg more for
Rs.160. Find the reduced price per kg.of sugar.
(a) Rs. 12.70        (b) Rs. 12.75      (c) Rs12.80     (d) Rs. 12.85         (e) None
14. What should be the list price of an article costing Rs.270, if is sold at a discount of 25%
If the list price and still makes a profit of 25% of the selling price?
(a) Rs. 450        (b) Rs. 420          (c) Rs 380       (d) Rs. 480              (e) Rs.500
15. By selling an article for Rs.1,575 a man losses 12.5 percent. At what rate must he sell
the article in order to gain 5%
(a) Rs. 1,890        (b) Rs. 1,860      (c) Rs 1,850        (d) Rs. 1,870          (e) None
16. A man sold an article for Rs. 1,680 gaining 4%. Find the gain if he sells the article for
Rs.1, 890.
(a) 10 %             (b) 12%                (c) 12.5%              (d) 17%                 (e) None
17. A trader bears a loss of 10%  by selling 20 needles for a rupee. How many needles
should he sell for a rupee in order to earn a profit of 20%
(a) 18                  (b) 15                  (c) 12                     (d) 10                      (e) 8
18. I bought a cooler at  8/10th of its marked price and sold it for 5% more than its marked
price my profit % is
(a) 31 1/4 %         (b) 20%              (c) 25%                 (d)  33 1/3%            (e) 18%
19. A man sold two scooters for Rs. 9,000 each. On one scooter he gained 10 percent and
on the other he lost 10 percent.
(a) No loss, No gain                      (b) 14.4% loss                         (c) 1.44% gain
(d) 1.44% loss                               (e) None
20. In a sale, a tradesman realized a profit which was to be 25% of his S.P.Find the ratio of
C.P to the S.P
(a) 4 : 5                  (b) 3 : 4               (c) 5 : 4                 (d) 4 : 3                  (e) 3 : 5
21. A mark up which is 25% of the selling price is what % of the cost.
(a) 33 1/3 %         (b) 40%              (c) 25%                 (d)  20%                 (e) 66 2/3%
22. A grocer purchased bananas at 3 for Rs. 1.20 and sold the entire quantity at 4 for Rs 2.
How many did the buy if the profit from selling was Rs 36.
(a) 120                  (b) 240                (c) 360                (d) 400                    (e) 180
23. A trader frauds by 10% while buying and 10% while selling the same, what is the total gain he obtained during the transaction?                                                             (CTS)
(a) 1                      (b) 2                     (c) 3                     (d) 4                       (e) None
24. A and B started a business with 1500 and 2500 and got a profit Rs.800. Half of the profit is shared equally
The remaining is shared according to their investment. Find their profit.              (Syntel)
25. Farmer Jones sold  a pair of cows for Rs.210, On one he made a profit of ten percent and on the other he lost ten percent. Altogether he made a profit of five percent. How many did each cow originally cost him?                                                                                   (INFOSYS)
26. A shopkeeper bought a watch for Rs. 400 and sold it for Rs.500. what is his profit percentage?                                                                                                                         (TCS)
27. An article is sold at a profit of 20% if both the c.p & s.p were tobe Rs.20/- the profit would be 10% more. What is the c.p of that article?                                               (Tech-Mahindra)
28. The cost of an article is 20% more to dealer A than to dealer B. A sells it at a profit of 40% and B at 25%. If A gains Rs. 115 more than B, the cost price for A is.
(a) 500                   (b) 525                 (c) 625                  (d) 600                    (e) 750

PERCENTAGE

1. A man’s income is increased from Rs. 1,832 to Rs. 2,290. what is the percentage
increase?
(a) 15                  (b) 20                       (c) 25                (d) 30                 (e) None
2. In an examination 85 percent of the students passed. The number of students failed was
240. what is the total number of students attended the examination?
(a) 4,500                  (b) 5,600                (c) 6,400          (d) 5,800             (e) None
3. In an election contested by two the winner secured 64 percent of the votes and wins by a
majority of 3360 votes. Find the number of votes secured by the winner?
(a) 6,780                  (b) 8,760                (c) 7,680          (d) 8,670             (e) None
4. A candidate got 30% of the total marks and failed by 18 marks. Another candidate gets
42% of the total marks and gets 42 marks more than the pass mark. Find the maximum
marks.
(a) 500                  (b) 600                       (c) 400              (d) 800              (e) None
5. In a musical programme at Ravindra Bharathi 10% of the audience left the hall  after the
1st song 20% of the remaining left after 2nd song 25% of the remaining went out after 3rd
song. Now after the 10 minute intermission 36 people came back after having snacks all
remained till 5th song which was the last and the final number in the hall was found to be
360. what was the initial no. in the audience?
(a) 500                  (b) 400                       (c) 600              (d) 800            (e) None
6. A typist salary is 20 percent more than a clerk’s salary. By how much percent the clerk’s
salary is less than the salary of the typist?
(a) 12 %         (b) 12.5%              (c) 15%             (d)  16 2/3%              (e) None
7. Salary of Suresh is 25% less than the salary of Ramesh. By how much percent the
salary of Ramesh is more than the salary of Suresh?
(a) 12 1/2 %    (b) 16 2/3%           (c) 33 1/3%        (d)  26 2/3%            (e) None
8. A man’s income was reduced by 10%. How much percent it must now be raised so that it
may be equal to the original amount?
(a) 11 %         (b) 12%                (c) 15%             (d)  16 %                   (e) None
9. A man’s wages was reduced by 50%. Again the reduced wages was increased by 50%.
Find out the percentage effect on his salary.
(a) Remains same                  (b) Increases by 50%            (c) Decreases by 50%
(d) Decreases by 25%            (e) None
10. A man spends 20% income on clothing, of the rest he spends 40% on food and of the
rest after spending on food he spends 40% on rent. Now he saves Rs.720. find his
monthy income.
(a) 2500                  (b) 2750                (c) 2570              (d) 2675           (e) None
11. In an examination, 80% of the candidates pass in History and 75% in Geography. If
10% fail in both the subjects, what is the pass percentage?
(a) 65                       (b) 45                    (c) 75                   (d) 55            (e) None
12. Find the percentage saving, in buying a dozen articles for Rs. 126 instead of Rs. 12 for one?
(a) 12                       (b) 12 1/2                   (c) 15                 (d) 16 2/3       (e) None
13. A man sends 80% of his income. With the increase in cost of living his expenses also
increase by 37 ½% and his income increases by 16 2/3%. find his present percentage
of savings.
(a) 5 5/7 %              (b) 4 6/7%                 (c) 4 5/7%          (d)  5%            (e) None
14. A Reduction of 25% in the price of mangoes enables a person to buy 5 kg more for
Rs.120. what was the price of mangoes per kg before reduction?
(a) Rs. 8               (b) Rs. 7.20               (c) Rs 6.40           (d) Rs. 6        (e) None
15. If 60 is subtracted from 60% of a number the result is 60. What is the number?
(a) 225                       (b) 250                    (c) 300                 (d) 325        (e) None
16. A man saves 20% of his salary. If on account of deamess of the things, he is to
increase his monthy expenses by 15%. Then, he is able to save Rs.400 only per
month. What is his monthly salary?
(a) Rs. 4,000               (b) Rs. 4,500          (c) Rs 5,000         (d) Rs.5, 500        (e) None
17. The price of sugar increases by 20%, by what % house-wife should reduce the
Consumption of sugar so that expenditure on sugar can be same as before
(TECH- MAHINDRA)
18. A man spending half of his salary for house hold expenses, 1/4th for rent, 1/5th for travel expenses, a man deposits the rest in a bank. If his monthly deposits in the
bank amount is Rs.50. What is his monthly salary?              (TECH- MAHINDRA)
19. The population of a city increases @ 4% p.a. That is an additional annual increase of 4% of the population due to this influx of job seekers, the % increase in
Population after 2 years is                                                (TECH- MAHINDRA).
20. For a party 240 guests were invited. Contractor has gained 12.5% profit. But 30 guests were Absent. He charged the same amount for a meal and lost 100 rupees. How much a meal Costs                                                                                                        (IBM)
21..A’s salary is 25% more than B’s salary. How much % is b’s salary  on A’s salary? (IBM)
22. In a survey of town of Wasco, it was found that 65% of the people surveyed watched the news on television, 40% read newspaper, and 25% read a newspaper and watched the news on television. What percent of the people surveyed neither watched the news on the television or read a newspaper.               (WIPRO)
23.  Out of 30 questions, the three persons A, B & C answered 45 correct answers, B
answered 55% of A, B and C together answered 25% more of what A answered. Find how many answers each answered?                               (INFOSYS)
24. In June a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50%. How many games must the team have won in a row to attain this average?                        (M-Phases)
25. If the length of a rectangle in increased by 30% and the width is decreased by 20%, then the area is increased by…..                                        (TCS)

PROBLEMS ON AGES

1. The age of the father 10 years ago was thrice the age of his son, 10 years hence the
father’s age will be twice that of his son. What is the fathers age?
(a) 35 years              (b) 80 years             (c) 60 years             (d) 70 years       (e) None
2. After  5 years fathers age will be 3 times his son age, 5 years ago father’s age was 7
times his son’s age. Find the present age of the father.
(a) 40 years              (b) 20 years             (c) 35 years         (d) 45 years      (e) None
3. 3 years ago A’s age was double of B’s, 7 years hence the sum of their ages will be 83
years. What is the age of B?
(a) 6 years              (b) 24 years             (c) 21 years             (d) 48 years     (e) None
4. John’s age is one-third of his father’s age minus 5 years. If his age is 7 years, his father’s
age is
(a) 26                       (b) 28                      (c) 30                      (d) 32               (e) None
5. Ratio of Ashok’s age to Pradeep’s age is 4 : 3. Ashok will be 26 years old after 6 years.
How old is pradeep now?
(a) 19 1/2%              (b) 21 years             (c) 24 years          (d)  15 years      (e) None
6. The ratio of the ages of A and B at present is 2 : 3. Five years hence the ratio of their
ages will be 3 : 4. what is the present age of A in years?
(a) 10                     (b) 15                  (c) 25             (d) Data inadequate        (e) None
7. Ten years ago Ram was thrice as old as Shyam was, but 10 years hence he will be only
twice as old. What is Ram’s present age?
(a) 60                     (b) 65                        (c) 68                (d) 70                 (e) None
8. A is 15 years old, B is one-third older than A. How many years ago was B twice older
than A
(a) 10                     (b) 12                       (c) 14                (d) 8                 (e) None
9. A father is twice as old as his son. 20 years ago the age of the father was 12 times the
age of the son. The present age of father is
(a) 24 yrs                (b) 38 yrs                (c) 44 yrs           (d) 46 yrs           (e) None
10. The ratio of ages of a father and son of present is 3:1,4 years earlier, the ratio was 4:1.
what are the present ages of son and father.
(a) 12, 36               (b) 15, 45                (c) 16, 48            (d) 19,57           (e) None
11. The ratio of the father’s age to the son’s age is 6 : 1. the product of their ages is 216.
the  ratio of their ages after 6 years will be.
(a) 2 : 3                   (b) 7 : 2                     (c) 3 : 4               (d) 6 : 7             (e) None
12. The ratio of ages of Meena and Neena is 3:4.4 years earlier the ratio was 5:7. Find the
present ages of Meena and Neena.
a) 24, 32               (b) 27, 36                     (c) 30,40            (d) 33,44           (e) None
13. A father is 30 times more than his son however he will be only thrice as old as the son what is
father’s present age                                                                              (Tech-Mahindra)
14. A grandpa’s age is sum of his four grandsons provided that the  grandsons’ ages are
consecutive  in  number.  Then what is the age of  the grandpa?
(IBM)
15. After 6 years the ratio of age of X and Y will be 5:6. Before 6 years it was 3:4. Find the age of younger one.                                                                                                   (IBM)
16 .  When I was married 10 years back my wife was the sixth member of my family. Now I have a baby. Today my father was dead and I had a new baby. Now the average age of my family is the same as that when I was married. Find the age of my father when he was 60.
(CTS)
17. Last year pandit was thrice his sister’s age. Next year he is only twice her age. After 5 years
what is pandit’s age.
a) 2                     (b) 12                         (c) 11                      (d) 14                 (e) None
(TCS)
18. Ram is twice older than Ravi. If Ram was 4 years younger, Ravi was 3 years older, the difference between their ages is 12 years. What the sum of their ages.
a) 67           (b) 57             (c) 36         (d) 14         (e) None                                        (TCS)
19. Father age is 5 times his son’s age.  4 years back the father was 9 times older than son. Find the  fathers’ present age.                                                                                            (TCS)
20. Joe’s father will be twice his age 6 years from now. His mother was stwice his age 2 years
before. If Joe will be 24 two years from now, what is the difference between his father’s and
mother’s and mother’s age?                                                                                   (TCS)
21. My father’s age was x in the year x2. I am obviously talking about 20th century. In which year
was my father was born?                                                                                        (INFOSYS)
22. Father’s age is three years more than three times the son’s age. After three years, father’s age
will be ten years more than twice the son’s age. What is the father’s present age?  (INFOSYS)
23. Find wizard’s age. His age is 3 times son’s age, his father’s age is 40 more than twice his age.
Total of their age is 1240.                                                                   (INFOSYS)
24. Ten years before, one is seven years more than the “half the age” of other. Now the bride’s age is 30 years. And also one is nine-tenth the age of other. What is groom’s present age?                                                                                                                                                (INFOSYS)
25. A Wizard named Nepo says “I am only three times my son’s age. My father is 40 years more
than twice my age. Together the three of us are a mere 1240 years old”. How old is Nepo?
(M-Phasis)
TEST OF REASONING (ANALOGY)

Directions: in each of the following questions, there is a certain relationship between two given words on one side of:: and one word is given on another side of:: while another word is to be found from the given alternatives, having the same relation with this word as the words of the given pair bear. Choose the correct alternative.
  1. Hill: Justice:: School:?
a) River                                          b) Canal                                  c) Glacier
d) Avalanche                                 e) None of these.
2 Fog: Visibility :: AIDS:?
a) Health                                         b) Resistance                c) Virus
d) Death                                           e) None of these.
  1. Sorrow: Death:: Happiness:?
a) Love                                            b) Dance                                  c) Cry
d) Birth                                            e) None of these
  1. Horse: Neigh:: Jackal:?
a) Squeak                           b) Chatter                                c) Howl
d) Bray                                           e) None of these
  1. Ice: Coolness :: Earth:?
a) Ocean                                       b) Forest                                   c) Weight
d) Gravitation                                e) None of these
  1. Calf: Cow :: Puppy:?
a) Dog                               b) Bitch                         c) Horse
d) Donkey                                 e) None of these
  1. Wine : Grapes :: Vodka:?
a) Potatoes                                    b) Apples                                 c) Oranges
d) Flour                         e) None of these
8.  Clock is related to Time in the same way as Vehicle is related to which of the
following?
a) Driver                                        b) Road                       c) Passenger
d) Journey                                      e) Fuel
9. Illness is related to cure in the same way as Grief is related to
a) Happiness                                               b) Ecstasy                     c) Remedy
d) Solicitude                                                e) Consolation
10. In a certain code language Infinite means Size. What is the meaning of Indefinite in
the code language?
a) Time                                          b) Day                          c) Meaning
d) Shape                                        e) None of these
11. Hamlet is related to Village in the same way as Metropolis is related to-
a) District                                     b) Place                c) Tehsil
d) City                                           e) Urban
12. Income is related to Profit in the same way as Expenditure is related to
a) Sale                                         b) Receipts                          c) Surplus
d) Loss                                          e) Balance
13. Electricity is related to Wire in the same way as Water is related to
a) Bottle                                       b) Jug                     c) River
d) Pipe                                         e) None of these
14. Hospital is related to Nurse in the same way as Court is related to
a) Justice                                      b) Lawyer               c) Judgment
d) Trial                                         e) None of these
15. Which of the following is related to Melody in the same way as Delicious is related to
Taste?
a) Memory                                     b) Highness                   c) Tongue
d) Speak                                        e) Voice
16. Apparel is related to Cloth in the same way as Footwear is related to ___.
a) Cobbler                                   b) Shoes                  c) Sandals
d)Leather                                     e) Material
17. Tree is related to Sapling in the same way as horse is related to
a) Cub                                         b) Foal                    c) Puppy
d) Mule                                        e) Pony
18. If is related to condition in the same way as But is related to
a) Supplement                             b) Negation            c) Contradiction
d) Strengthen                              e) Disapproval
19. Fragile : Crack
a) Cemetery : Death               b) Pliable : Bend           c) Hydro : Water
d) Irreducible : Reduce           e) None of these
20. Army : Logistics
a) Team : Individual                           b) War : Logic                c) Soldiers : Students
d) Business : Strategy             e) None of these
21. Money : Transaction
a)Life : Death                                   b) Water : Drink                c) Ideas : Exchange
d) Language : Conversation             e) None of these
22. Which of the following does not have the same relationship as that of Cloth :
Garments?
a) Leather : Footwear             b) Wood : Furniture      c) Earthen pots : Clay
d) Gold : Ornaments               e) None of these
23. Which of the following has the same relationship as that of Money : Wealth?
a) Pity : Kindness                  b) Cruel : Anger             c) Wise : Education
d) Pride : Humility                 e) None of these
24. AG : IO :: EK :?
a) LR                        b) MS    c) PV       d) SY                  e) None of these
25. LOGIC : BHFNK :: CLERK:?
a) XVRPA          b) QBKJA         c) LPRTU               d) JQOKB         e) None of these
26. KMF : LLH :: RMS :?
a) SLR           b) SLU               c) SSU                 d) SUS               e) None of these
27. BLOCKED is to YOLXPVW as OZFMXS into…..?……
a) RESULT     b) NAUGHT      c) LAUNCH      d) LABOUR     e) None of these



TEST OF REASONING (Classification)

I. Four of the following five are alike in a certain way and so form a group. Which is the
one that does not belong to that group?

1. a) ulna                       b) radius           c) carpals            d) volume          e) humerus

2.a) Tiger                   b) Leopard          c) Elephant          d) Dog                e) Cat

3. a) Cube       b) Rhombus    c) Trapezium    d) Square           e) Parallelogram

4. a) Elegy       b) Epic                c) Fable              d) Ballad            e) Ode

5. a) Hockey         b) Polo            c) Tennis              d) Cricket           e) Golf

6. a) Follow      b) Chase            c) Pursue         d) Hound            e) Investigate

7. a)Apple                    b) Orange          c) Papaya        d) Water-melon   e) Mango

8.  a) Claret        b) Port               c) Sherry          d) Champagne    e) Rum

9. a)Watchman       b) Retailer                c) Abattoir        d) Boatman         e) Physician

10. a) January     b) March          c) June            d) October           e) September

11.  a) Teacher                b) Engineer   c) Architect      d) Doctor             e) Scientist

12.  a) Arrow       b) Sword          c) Knife            d) Axe                 e) Pistol

13.  a) Pencil            b) Sharpener  c) Blackboard  d) Chalk             e) Pen
14.  a) Tortoise         b) Frog          c) Rat              d) Mongoose     e) Snake

15.  a) Swan             b) Crocodile     c) Frog            d) Snake           e) Chicken

16.  a) Coriander       b) Potato                  c) Beetroot      d) Onion           e) Ginger

17.  a) Crow               b) Vulture                 c) Bat             d) Ostrich         e) Eagle

18.  a) August            b) December    c) July            d) January       e) May

19.  a) Jackal             b) Cheetah       c) Tiger          d) Lion             e) Dog

20. a) Cheese                  b) Butter                     c) Milk               d) Curd

21. a) Sultry          b) Hot                        c) Humid         d) Warm                     e) Cool

22. . a) stem          b) fruits                      c) flowers       d) tree                          e) root
(SYNTEL)

II. In each of the following questions. Four words have been given, out of which three are
alike in some manner and the fourth one is different. Choose out the odd one.

22. a) Titan                   b) Mercury                      c) Earth                   d) Jupiter

23. a) Java              b) Lisp                        c) Smalltalk             d) Eiffel            (TCS)

24. a) SMTP            b) WAP                       c) SAP                   d) ARP             (TCS)

25. a) Oracle            b) Linux                      c) Ingress               d) DB2            (TCS)

26. a) WAP               b) HTTP                    c) BAAN                  d) ARP            (TCS)

27. a) LINUX             b) UNIX                    c) SOLARIS           d) SQL SERVER    (TCS)

28. a) SQL                b) DB2                      c) SYBASE            d) HTTP                (TCS)

29. a) Mermaid          b) Sphinx                 c) Unicorn              d) Dinosaur           (TCS)
30. a) EF                  b) AD                        c) BE                       d) EH                 (SATYAM)

31. a) Commander   b) Commodore         c) Brigadier             d) Admiral

32. a) Othello            b) King Lear             c) Oliver Twist        d) Macbeth

33.  a) Rain               b) Mist                      c) Smoke                d) Fog

34.  a) T                    b) Z                           c) N                        d) O

35. a) PAT                b) RAT                      c) EAT                       d) BAT











TEST OF REASONING (Coding & Decoding)
  1. 1.            If ‘ROAD’ is coded as ‘WTFI’, select appropriate code for “BEAT’.
a) URDG                b) UREG                      c) TQCF               d) GJFY

2. XEROX COPY OF BILL WAS SENT’ is coded as ‘ZGTQZ EQRA QH DKNN YCU
UGPV’. Based on this coding scheme, tick the code from the answer choices for each
word given in the bold letters in the beginning of each question:
WATER
a) GVCTT                b) UREG                      c) TQCF                         d) GJFY

3. If in a certain language A is coded as I, B is coded as 2, and so on, how is BIDDIC
coded in that code?
a) 294493                b) 284563                     c) 375582                 d) 394492

4.  In a certain code 2 is coded as P,3 as N, 9 as R, 4 as A and 6 as B. How is 599423
coded in that code?
a) EIIDBC                b) PQPANB                    c) EIMDBC                   d) RQQAPN

5. If ‘HOTEL’ is coded as 12, how will you code ‘BORE’?
a) 8                          b) 10                               c) 15                         d) 12

6. By following a certain logic HOUSEWIFE IS WRITTEN AS ERRVBZFIB. How  is
HOUSEHOLD written in that logic?
a) ERRVBEROA        b) ERRVBEOLA            c) ERRVBKOLA    d) ERRVBKLOA

7.If DIAMOND is coded as VQYMKLV, how is FEMALE coded?
a) TUMYNU               b) UVNZOV               c) UVNYNV        d) TVNYNV

8. If in a certain language, GRASP is coded as BMVNK, which word would be coded as
CRANE?
a) FUDQH               b) HWFSJ               c) GVERI                    d) XMVIZ

9. If ACUTE is coded as ZBTSD then DMFBS stand for.                            (TCS)

10.. If in a certain language, ITNIETAM is the code for INTIMATE, which word has the
code TREVNIETARBI?
a) INVRETIBRAT   b) INVERTIBARTE   c) INVERTIBRETA    d) INVERTIBRATE

11. If DPYGP is coded as BRAIN then EMXCT is coded as _________ ?    (TCS)
a) CHAIR              b) COBER                c) COVER                  d) CEGER

12. If DELHI is coded as CCIDD then how BOMBAY will be coded?            (WIPRO)

13.  In a certain code ‘PENCIL’ is written as ‘RCTAMJ’  then in that code ‘BROKEN’ is
written as
a) SPFLIM            b) SVFLIN            c) FVSMGL                   d) FPSMIL
14. In a certain code language the word FUTILE is HYVMNI. How will the word PENCIL
be written in that language?
a) OIFRLT            b) OIFRLS             c) OLFRIT                   d) OIRFLT

15. In a certain code language NATIONALISM is written as OINTENMSAIL. How is
DEPARTMENTS written in that code?
a) RADEPTSTMNE  b) RADPETSTMNE   c) RADPESTMTNE   d) RADPETSTNME

16. In a certain code language OUTCOME is written as OQWWEQOE. How is
REFRACT written in that code?
a) RTGITCET           b) RTGTICET            c) RTGITECT            d) RTGICTE

17. In  a certain code language GEOPHYSICS is written as IOPDHZRJBT. How is
ALTIMETERS written in that code?
a) NHULBFSDQT     b) NIUKBFSDQT       c) NHUKCFSDQT    d) NHUKBFSEQT

18. In a certain code language STREAMLING IS written as CGTVUHOJMN. How will
the
word PERIODICAL be written in that language?
a) PJSFQMNBJE     b) QKTGRMBDJE       c) PJSFQMBDJE    d) QKTGRMCEKF

19. In a certain code PATHOLOGIST is written as PIUBQKSRHFN. How is
CONTROVERSY written in that code?
a) SUOPDNXRQDU                           b) SUOPDNZTSFW
c) QSMNBPXRQDU                           d) QSMNBPZTSFW
20. In a certain code BROUGHT is written as SGFVAQN. How is SUPREME written in
that  code?
a) FNFSRTO           b) RTOSDLD           c) DLDSRTO            d) DLDSTVQ

21. In  a certain code language the word DISTURB is written as DTWVUKF. How will
the word FRANTIC be written in that code language?
a) EKUPDTH          b) FKCPVTH            c) EKVPCTH             d) FLVPCTH

22. In a certain code language ‘ROUTINE’ is written as ‘VMRGFLI’. How will
‘CRUELTY’ be  written in that code language?
a) VPVCZRL          b) VPCVZRL             c) WPCVZRL            d) VOCVZRL

23. In a certain code GARIMA is written as 725432 and TINA as 6482. how is MARTINA
written in that code?
a) 3256482            b) 3265842                 c) 3645862              d) 3658426

24. If MINJUR is coded as 312547 and TADA as 6898. how can MADURAI be coded?
a) 3498178            b) 3894871                 c) 3849781              d) 3894781

25. If REASON is coded as 5 and BELIEVED as 7, what is the code number for
GOVERNMENT?
a) 6                         b) 8                              c) 9                          d) 10

26. If  GO=32, SHE =49, then SOME will be equal to
a) 56                         b) 58                          c) 62                       d) 64

27. In a certain code, ‘247’ means ‘spread red carpet’. ‘256’ means ‘dust one carpet’
and  ‘264’ means ‘one red carpet’. Which digit in that code means ‘dust’?
a) 2                           b) 3                               c) 5                      d) 6

28. In a certain code,’256’ mean ‘red colour chalk’; ‘589’ means ‘green colour flower’
and  ‘245’ means ‘white color chalk’. Which digit in that code means ‘white’?
a) 2                           b) 4                             c) 5                        d) can’t be determined

29. In a certain code language ‘526’ means ‘sky is blue’; ‘24’ means ‘blue colour’ and
‘436’  means ‘colour is fun’. Which digit in that language means ‘fun’?
a) 5                           b) 4                             c) 3                         d) 2

30. In a certain code Ek La Ki means don’t go school. Ra Ku means disobey teachers
and  Ek Ra Le means Don’t hurt teacher.  How is  Disobey written in that code?
a) Ra                         b) Ku                        c) Either Ra or K      d) can’t be determined

31. In a certain code lee ra de means what was it, mo mil means you go, nil pom ra
means  you like it and tok lee to means she was sick. How will you write what you like
in that  code?
a) pom nil ra                b) pom ra lee           c) nil ra lee             d) Data inadequate

32. If  ice is called water, water is called rain, rain is called wind, wind  is called air, and
air  is called sky, then you will find amphibians on land and in
a) wind                     b) water                 c) sky                     d) air          e) rain

33. If green is called blue, blue is called white, white is called black and black is called
green, what is the colour of the hair of Rishu ?
a) black                  b) white                 c) green                  d) Data inadequate

34. If air is called green, green is called blue, blue is called sky, sky is called yellow,
yellow is called water and water is called pink, then what is the colour of clear sky?
a) blue                  b) sky                    c) yellow                   d) water

35. If red is called yellow, yellow is called blue, blue is called white, white is called green,
green is called pink and pink is called purple, then what is the colour of clear sky?
a) blue                  b)  yellow                 c) pink              d) white       e) purple

36. In a certain format TUBUJPO is coded as STATION. The code of which string is
FILTER?                                                                                                        (TCS)

37. If TAFJHH is coded as RBEKGI then RBDJK can be coded as ——–         (TCS)

38.  If ‘BFGE’ is coded as ‘CEHD’ then code PVHDJ.                                    (TCS)
39. If VXUPLVH is written as SURMISE, what is SHDVD?                          (TCS)

40. If DDMUQZM is coded as CENTRAL then RBDJK can be coded as —-






DATA ANALYSIS (Table and Graphs)

1.Study the following table carefully and answer the questions given below:

Loan disbursed by 5 banks
(Rupees in Crores)
Years
Banks
1982
1983
1984
1985
1986
A
18
23
45
30
70
B
27
33
18
41
37
C
29
29
22
17
11
D
31
16
28
32
43
E
13
19
27
34
42
Total
118
120
140
154
203

1. In which year was the disbursement of loans of all the banks put together least
compared to the average disbursement of loans over the years?
a) 1982                 b)  1983                c) 1984                 d) 1985        e) 1986
2. What was the percentage increase of disbursement of loans of all banks together from
1984 to 1985?
a) 110                   b)  14                   c) 90 10/11           d) 10            e) None of these
3. In which year was the total disbursement of loans of banks A & B exactly equal to the
total disbursement of banks D and E?
a) 1983                 b)  1986                c) 1984                 d) 1982        e) None of these
4. In which of the following banks did the disbursement of loans continuously increase over
the years?
a) A                      b)  B                    c) C                       d) D              e) E
5. If the minimum target in the preceding years was 20% of the total disbursement of
loans, how many banks reached the target in 1983?
a) 1                      b)  3                     c) 2                          d) 4            e)  None of these
6. In which bank was loan disbursement more than 25% of the disbursement of all banks
together in 1986?
a) A                      b)  B                    c) C                       d) D              e) E
II. Study the following table carefully and answer the questions from 6 to 10. based on it.
Yearly Commission Earned By Five Sales Men
Year
Salesman
    1988
1989
1990
1991
1992
1993

A

B

C

D

E


27,350

26,850

26,200

27,850

28,640


28,500

27,900

27,800

30,040

29,000

25,200

27,400

28,200

29,800

28,750

29,800

28,000

29,100

30,060

30,000

24,600

28,500

29,400

29,800

29,750

27,000

29,000

30,000

32,000

29,700


Total


1,36,890


1,43,240

1,39,350

1,46,960

1,42,050

1,47,700

7. In which of the following years the commission of the salesman C was maximum as
compared to the previous year?
a) 1989                    b)  1990                c) 1991                d) 1992            e) 1993
8. In the year 1990 the commission of B was approximately how many times of the total
commission earned by five sales men?
a) 20                       b)  98                      c) 80                     d) 90              e) 2

9. For which of the following salesmen there was maximum increase in commission in 1991
as compared to 1988?
a) A                       b)  B                        c) D                        d) E              e) C

10. During which of the following years there was maximum difference in the maximum and
minimum commission earned by any of the salesman?
a) 1990                b)  1991                c) 1992                    d) 1993          e) 1989

11. In the year 1992, the commission earned by the salesman D was approximately how
many per cent of the commission earned by the salesman A?
a) 18                      b)  21                     c) 52                      d) 17           e) None of these

III. Shown below is the multiple bar diagram depicting the changes in the student’s strength
of a college in four faculties from 1990-90 to 1992-93.


Study the above multiple bar chart and mark a tick against the correct answer in each of the following questions
12. The percentage of students in science faculty in 1990-91 was:
a) 26.9%                    b)  27.8%               c) 29.6%                   d) 30.2%
13.The percentage of students in law faculty in 1992-93 was:
a) 18.5%                    b)  15.6%               c) 16.7%                   d) 14.8%
14. How many times the total strength was of the strength of commerce students in
1991-   92?
a) 3 times                b)  4 times                c) 5 times                  d) 6 times
15. During which year the strength of arts facility was minimum?
a) 1990-91                b)  1991-92              c) 1992-93                  d) 1993-94
16. How much percent was the increase in science students in 1992-93 over 1990-91?
a) 50%                    b)  150%                  c) 66 2/3%                   d) 75%
17. A regular decrease in students, strength was in the facility of?
a) arts                     b)  science               c) commerce               d) law
IV. Study the following graph carefully and answer the following questions:




18. In which year was the value per ton minimum?
a) 1983                b)  1984                c) 1985         d) 1986         e) 1987

19. What was the difference between the biscuits exported in 1985 and 1986?
a) 10                b)  1000                c) 100000        d) 1000000   e) None

20. What was the approximate percent increase in export value from 1984 to 1987?
a) 350               b)  300                 c) 43               d) 24             e) None

21. What was the percentage drop in export quantity from 1983 to 1984?
a) 75                b)  nil                    c) 25               d) 50             e) None

22. If in 1986 the goods were exported at the same rate per ton as that in 1985, what would
be the value in crores of rupees of export in 1986?
a) 400                b)  352               c) 375             d) 330             e) None

V. Problems on Line Graph and Tables (asked in previous exams) Directions : Study
the following graph carefully and answer the questions given below it:
Ratio of value of Imports to Exports by a company over the years



23. If the total exports in 1992 and 1993 together were Rs. 600 crore, what was the total of
imports in those two years?
a) Rs 800 crore         b) Rs. 540 crore        c) Rs. 900 crore     d) Rs. 450 crore
24. If the imports of the company in 1995 were Rs. 270 crore, what were the exports of the
company in the same year?
a) Rs 200 crore         b) Rs. 240 crore        c) Rs. 180 crore     d) Data inadequate

25. In which of the following years were the imports minimum proportionate to the exports
of  the company?
a) 1991                      b)  1992                    c) 1993                   d) 1996
26. What was the percentage increase in imports from 1993 to 1994?
a) 166 2/3                   b)  66 2/3                  c) 133 1/3               d) Data inadequate

VI. Study the following graph to answer the given questions


27. For all the given years, what was the approximate per cent of total exports to that of
total  production?
a) 30                    b)  97                   c) 40                  d) 65               e) 55

28. What was the per cent increase in exports in 1992 from 1989?
a) 250                  b)  350                  c) 500                d) 34               e) None

29. Which year was the ratio of exports to production maximum?
a) 1993                 b)  1991                c) 1992              d) 1989          e) Non

ALPHABETICAL QUIBBLE

1. If the alphabet is written in reverse order then which is the fifth letter to the left of 15th letter from the right?
a) U                    b)  Z                    c) T                       d) R                      e) V

2. If the alphabet is written in the reverse order which will be the letter to the immediate
left of M?
a) N                   b)  L                    c) O                      d) K                      e) None

3. If the following alphabets were written in the reverse order, which letter will be the
eight letter to the left of the seventh letter counting from the right end?
a) P                   b)  O                   c) N                       d) Q                      e) None

4. If every third letter from the following English alphabet is dropped, which letter will be
seventh to the right of eleventh letter from your right?
ABCDEFGHIJKLMNOPQRSTUVWXY
a) V                   b)  U                    c) K                     d) I                      e) None

5. If the letters from T to Z are interchanged by the letters A to G in such a way that A
takes the position of T and so on, then which will be the third letter to the left of 18th
letter from right?
a) Y                  b)  U                    c) B                        d) C                 e) None

6. What will come in place of the question mark(?) in the following series? DGK
GKP?PVC
a) J                  b)  H                    c) I                      d) O                e) None

7. If the first half of the English alphabet is reversed and so is the second half, when
which letter is seventh to the right of twelfth letter from the left side?
ABCDEFGHIJKLMNOPQRSTUVWXYZ
a) S                 b)  V                   c) U                        d) T                e) None

9. What will come in place of question mark(?) in the following series?
NDP,QWB,ZFR ?
a) S VJ                b)  AFS                c) IVS               d) SFA              e) None

10. If every alternate letter starting from O is replaced with odd numbers starting from 1,
which letter or number will be third to the left of tenth letter from your right?
a) 15                 b)  L                  c) K                        d) 13                e) None

11. If the positions corresponding to the multiples of five in the following alphabet are
replaced by symbols and that of multiples of seven by digits, how many letters will
be  left?
ABCDEFGHIJKLMNOPQRSTUVWXYZ
a) 15                 b)  18                  c) 21                      d) 17                e) None
12. Number of letters skipped in between adjacent letters in the  series is two. Which of
the following series observes this rule?
a) MPSVYBE    b)  QSVYZCF     c) SVZCGJN          d) 13                e) None

13. Number of letters skipped in between the adjacent letters in the series are
consecutive even numbers. Which of the following series observes this rule?
a) CDFIM           b)  ADIPY           c) GIMSZ               d) DFJPX         e) None

14. Which letter will be the sixth to the right of the eleventh letter from the right end of
the alphabet?
a) K                     b)  V                 c) J                           d) U               e) None

15. How many pairs of letters are there in the word NECESSARY. Which have as many
letters between them in the word as there are between them in the alphabets and
the  same order.
a) 1                     b)  2               c) 3                              d) 4               e) None

16. Two letters in word PRESENCE have as many letters between them in the word as
there are between them in the alphabet and in the same order, which one of the two
letters comes earlier.
a) C                     b)  E               c) R                              d) P               e) None

17. If the first and third letters in the word NECESSARY were interchanged also fourth
and sixth seventh and ninth letters which of the following would be the seventh letter
from the left.
a) A                     b)  Y                 c) R                              d) E               e) S

18. If the first and the second letters in the word DEPRESSION were interchanged also
the third and fourth letters and fifth and sixth letters and so on which of the following
letters would be the seventh letter from the right
a) R                     b)  O                 c) S                             d) I               e) None

19. If the last four letters of the word CONCENTRATION are written in the reserve
order followed by next two in the reserve order and next three in the reverse order
and then followed by the first four in the reverse order counting from the right end.
Which letter would be eight? In the new arrangement.
a) A                     b)  T                 c) E                             d) R              e) None

20.There is a word ‘PERLMENTTASITION’.. if 1st and 2nd ,3rd & 4th words are changed and
so on, then find the 14th letter from right after change.                            (TCS)

21. In the word ORGANISATIONAL, if the first and second, third and forth, forth and fifth,
fifth and sixth words are interchanged up to the last letter, what would be the tenth letter
from right?                                                                                                 (TCS)
22. What is the code formed by reversing the First and second letters, the third and fourth
letters and so on of the string SIMULTANEOUSLY?                                    (TCS)
23. In the word ECONOMETRICS, if the first and second, third and forth, forth and fifth, fifth
and sixth words are interchanged up to the last letter, what would be the tenth letter
from right?                                                                                                            (TCS)


















AVERAGES

1. The average salary of 18 officers and 32 clerks is Rs.800. If the average salary of
officers is Rs. 1200, what is the average salary of clerks?
a) Rs. 557              b) Rs. 520                c) Rs. 575   d) Rs. 525            e) None

2. The average weight of class of 40 students is 43 kg. When a student whose weights
47kg  is replaced by a new student, the average weight of the class remains same. Find
the  weight of the new student.
a) 43 kg               b) 45 kg                  c) 46 kg                d) 47 kg               e) None

3. The average of 13 results is 50. if the average of first seven results is 40 and that of last
seven is 60. find the seventh result.
a) 1350                 b) 50                      c) 0            d) 150                 e) None

4. The average age of class of 39 students is 19 years. A new boy of age 19 years joins
them. What is the average age of the 40 students?
a) 17 yrs                b) 19 yrs                   c) 20 yrs               d) 22 yrs                e) None

5. The average age of 5 boys is 18 years. A new boy joins them and increases the average
age to 19 years. What is the age of the new boy?
a) 22 yrs                b) 23 yrs                   c) 24 yrs               d) 25 yrs                e) None

6. The average age of a family of 6 members is 20 years. If the age of the youngest
member  is 5 years then what was the average age of the family at the birth of the
youngest member.
a) 18                     b) 20                      c) 19                      d) 16                   e) None

7. The average age of a class of 50 boys is 16 years 2 months. By the admission of a new
boy the average is reduced by a month. Find the age of the new boy.
a) 11 years, 11 months                        b) 10 years, 8 months
c) 11 years, 9 months                    d) 10 years                                     e) None

8. The average temperature for Monday, Tuesday, Wednesday and Thursday was 480C
and for Tuesday, Wednesday, Thursday and Friday was 46.50C. If the temperature on
Monday was 450C. Find the temperature on Friday.
a) 510C                  b) 390C          c) 38.50C               d) 39.50C            e) None

9. The average monthly wages of the employees in an industry is Rs. 95. the average
salary of 15 officers is Rs.525 and that of the workers if Rs.85. find the total number of
employees in the industry.
a) 580                   b) 600                       c) 645                    d) 660                   e) None
10. The average score of a batsman for a number of innings was 42.5 runs. In the next four
innings he scores 20, 75, 15 and 0 runs and his average for all the innings fell by 5
runs.  How many innings in all did he play?
a) 16                    b) 24                         c) 8                        d) 12         e) None

11. 30 articles were purchased for Rs 12000. The average cost of 12 articles out of them is
Rs. 250. Find the average cost of remaining articles.
a) 9000                b) 500                       c) 1500                  d) 1200                 e) None

12.  A batsman has a certain average for 16 innings. In the 17th innings he made a score of
85 runs, there by increasing his average by 3 runs. What is the average?
a) 37                  b) 34                         c) 40                  d) 36             e) None

13. A batsman has certain average runs for 20 innings. In the 21st inning, he served 107
runs thereby increasing his overage by 2. what is his average after 21 innings.
a) 67                    b) 65                         c) 68                   d) 70                  e) None

14. The number of students in each section of a school is 24. after admitting the new
students. three new sections were opened. Now the total number of section is 16 and
there are 21 students in each section. Find the number of students admitted.
a) 24                   b) 14                         c) 48                  d) 16             e) None

15. The average age of a husband and a wife was 22 years when they were married 7
years ago. The average age of the husband, wife and a child who was born during the
intervals   is 21 yrs. What is the age of the child?
a) 4 yrs                b) 5 yrs           c) 3 yrs              d) 10  yrs               e) None

INTEREST

1.Find the simple interest on Rs.2,400 for 2 ½ years at 18% per annum.
a) Rs. 912                 b) Rs. 1020                  c) Rs. 1080                  d) 1220           e) None

2. The interest on a certain sum at 6 1/4% in 2 years 4 months is Rs.525. Find the sum.
a) Rs. 3,600 b) Rs. 4,800                 c) Rs. 5,200                 d) 5,600          e) None

3. The C.I. on certain sum of money for 2 yrs is Rs 410 and S.I. on the same sum, for the
same period is Rs 400. find the sum and the rate of interest.
a) 10,000,5%         b) 5000,4%                c) 8000,4%                 d) 5000,5%    e) 4000,5%

4. The interest on Rs.15,000 at 12% per annum is Rs. 5,400. find the period for which the
sum  is lent.
a) 2 years               b) 2.5 years                 c) 3 years                     d) 3.5 years     e) None

5. A certain sum amounts to Rs.3,250 in 2 ½ years and to Rs.3,400 in 3 years. Find the rate
a) 6%                      b) 10%                        c) 12%                        d) 15%           e) None

6. A sum doubles itself in 6 years at simple interest. Find the rate per annum
a) 12%                    b) 12.5%                     c) 15%                        d) 16 2/3%    e) None

7. A man lent equal sums of money at 5.5% and 4% p.a for a period of three years. If the
difference in the interest earned is Rs.72, what is the sum lent at 5.5%
a) Rs. 1600  b) Rs. 1500                  c) Rs. 1800                  d) Rs. 2000      e) Rs. 2200

8. The simple interest on a sum of money is 4/9 of the principal and the number of years is
equal to the rate of percent per annum. Find the rate
a) 5%                      b) 5 3/4%                   c) 6%                         d) 6 2/3%          e) None

9. Find the principal if the difference between SI and CI for a period of 2 years at 12% rate
of  interest is Rs.234
a) Rs. 16,250           b) Rs. 15,750  c) Rs. 16,750             d) Rs. 15,250    e) None

10. An amount borrowed at compound interest becomes Rs.8, 600 after 3 years and Rs.
9,374  after 4 years. The rate at which the amount lent is
a)  9%                   b) 10%                        c) 11%                        d) 12%           e) None

11. The C.I and a certain sum for 2 years is Rs 816 and the S.I on the same sum for the
same period is Rs 800. Find the sum.
a) Rs. 10,000         b) Rs. 5000                  c) Rs. 8000                  d) Rs.12000    e) Rs. 7500

12. The compound interest on a certain sum for 2 years is Rs. 1,760 and if simple interest
is  Rs. 1,600, find the principal.
a) Rs. 76                b) Rs. 74                        c) Rs. 78                       d) Rs. 81          e) None
13. The compound interest on a certain sum or money for 2 years at 5% annual rate of
interest  is Rs. 328. the corresponding simple interest on the same sum, rate and time
will be.
a) Rs. 280          b) Rs. 1275                     c) Rs. 1325                  d) Rs. 1316      e) Non
14. In simple interest what sum amount of Rs. 1120/- in 4 years and Rs.1200/- in 5
years?                                                                          (Tech Mahindra Ltd).
15.A sum at given rate of interest becomes 1200 in four years 2000 in five years.  What
was the sum?                                                               (Satyam Computers)
16.A man is having some money deposited in the bank.  In the 1st year he gets 8%
interest, 2nd year 11%, 3rd year 13%. If he gets  Rs.12,400 at the end of three years.
How much he deposited?                                                 (Satyam Computers)
17. If the compound interest on a sum for 2 years at 12.5% per annum is Rs.510, the
simple interest on the same sum at the same rate for the same period of time is?
(Satyam Computers)
18.An amount of Rs.64 has to become Rs.125 in 3 years in compound interest, find the
rate of interest?                                                                    ( Syntel)
19. A man lent Rs.20,000 partly at 5% and the rest at 4% simple interest.  The total
annual interest is Rs.920.  The money lent at 5% is? ( Satyam Computers)
20.The compound interest for  first and second years is 200 and 220 on a certain
amount.  Find the sum?                                                       (Syntel)


NUMBER SERIES

Find the missing number in the following series.

1)    42  45      15        18        6          9          3          ?           à 6

2)     62           64        128     130     260     ?           à 262

3)      1 2          6          24        ?

4)      0             2          6          ?           20        30        42        à 12

5)      1 2          9          ?           65        126

6)     121         112     ?           97        91        86

7)      7 15        23        31        39        47        ?

8)      1 1          8          4          27        9          ?           16

9)      5 7          11        17        ?           35

10)    5            6          25        36        625     ?

11)  10                        22        27        ?           44        56        61        73

12)    8            2          14        6          11        ?           14        6          18        12          (M-PHASIS)

13)       0          2          4          6          8          12        12        20        16        ?           (INFOSYS)

14)       3          6          13        26        33        66        ?                                                 (INFOSYS)

15)       7          14        21        9          18        ?           11        22        33                      (SATYAM)

16)                               127
65        56
33        ?         24
15      16       10         12                                                               (SATYAM)


17)       2          4          16        512     ?                                                                         (INFOSYS)

18)       10    1   9   2   8    3   7    4    6   5   5   6   4   7    3   8  2    ?     ?            (INFOSYS)

19.       5         9          11        15        ?           21        23                                                  (TCS)





20)                                           426
244         170
139         95          65
75           ?            31        26
34         35          15          10         10
5        25          6             5           1          5                                     (SATYAM)

21) Find the odd man out.
a)  918                  b)  480                        c)  510             d)  306            e) None
(SATYAM)
22)   3             8          ?           24        ?           48        63                                               (TCS)

23)   4             -5         11        -14      22        ?                                                                (TCS)

24)   77           49        36        18        ?                                                                            (TCS)

25)    2            5          ?           19        37        75                                                             (TCS)

26)   5             20        24        6          2          8          ?                                               (INFOSYS)

TIME & WORK

  1. A and B together can a piece of work in 12 days, B and C in 15 days and C and A in 20 days. How long will C take to complete the work, working alone?
(a) 30 days      (b) 32 days                  (c) 36 days                  (d) 40 days                  (e) None

  1. A and B together can finish a work in 30 days. They worked for it for 20 days and then B left. The remaining work was done by A alone in 25 days more. How many days will B take to complete the, working alone?
(a) 35              (b) 40                          (c) 45               (d) 50///                    (e) None

  1. A and B can do a piece of work in 24 days and B and C in 30 days and A and C in 20 days. They all work for 10 days when A and B leave. Then how many days should C work alone to complete the work.
(a) 24              (b) 18  ///                  (c) 21                           (d) 15                          (e) None

  1. A and B can do a piece of work in 42 days. A is 40% more efficient than B. In how many days then A alone do the whole work?
(a) 36              (b) 24                          (c) 54                           (d) 72///                                (e) None

  1. Two pipes A and B can fill a tank in 20 and 24 min, respectively. Both the pipes being opened, find after how many minutes the first pipe must be turned off so that the tank may be just filled in 12 min.
(a) 10min///               (b) 12min                     (c) 8min                        (d) 6min                       (e) None
  1. A and B together do a piece of work in 15 days, B and C together in 12 days. If C is twice as good as A in how many days can B alone do the work?
(a) 18              (b) 20///                                (c) 16                           (d) 24                          (e) None
  1. A man, a woman, and a boy can do a piece of work in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to do the work in 1 day?
(a) 1                 (b) 2                             (c) 3                             (d) 4                             (e) None
  1. 45 men can complete a work in 16 days. Six days after they started working, 30 more men joined them. How many days will they now to take to complete the remaining work?
(a) 5                 (b) 6                             (c) 7                             (d) 8                             (e) None
  1. A can do a piece of work in 120 days. B can do it in 150 days. They start the work together and work for 20 days and then B leaves A continues to work for 12 days alone and then takes the assistance of C. they complete the work in another 48 days. If C works alone how long will he take to complete the work?
(a) 200                        (b) 160                                    (c) 240                         (d) 210                                    (e) None
10. A does 4/5 of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?
(a) 23 days      (b) 37 days                  (c) 37 ½ days              (d) 40 days                  (e) None
11. A contractor takes up digging of a canal 12 km long in 300 days and employs 50 men. He finds after 100 days only 25% of the work is completed. How many men must employ additionally to finish the work on time?
(a) 20              (b) 15                          (c) 18                           (d) 25                          (e) None


1. Pipe A can fill in 20 minute and pipe B in 30 minutes and pipe C can empty the same in 40
min. If all of them work together, find the time taken to fill the tank
(M-PHASIS)
2. A man, woman and a child can do a piece of work in 6 days. man only can do it in 24 days,
woman can do it is 10 days and in how many days child can do the same work.
(TCS)
3.Avinash takes 15 days to complete a work and Bada takes 12 days to complete the same
work, if they work in alternate days. In how many days they finish the work.
(CTS)
4. A,B,C can do a work in 8,14,16 days respectively. A does the work for 2 days. ‘B’ continues
from it and finishes till 25% of the remaining work. ‘C’ finishes the remaining work. How
many days would have taken to complete the work.ans:-12  7/8
(CTS)
5. One pipe fills in 4 hrs and another in 5 hrs. when they both work alternately how much time
will be taken to fill the tank.                                                              (SYNTEL)

6. A and B can together complete a piece of work in 6 days. If A works alone for 2 days and
complete 1/4th of the work. In how many days can B alone complete the rest of the work?
Ans:-18
(SATYAM)
7. A can finish a work in 10 days. ‘B’ is 60% more efficient then A. Find in how many days ‘B’
alone can complete the work.                                                                      (TCS)

8.Certain number of man can finish a piece of work in 10 days. if however there were 10 men
less itwill take 10 days more for the work to be finished. How many men were there
originally?                                                                                              (Tech-Mahindra)
9. 2 pipes A and B can fill a tank in 30minutes and 20 minutes respectively. B filled ¾ of the tank. Then for the rest both A and B filled the tank. How much time it took to fill the entire tank.
(  IBM)

TIME & DISTANCE

  1. A train covers a distance in 50 minutes if it urns at a speed of 48 kmph. The speed at which the train must run to reduce the time to journey by 10 minutes will be?
(a) 54 kmph     (b) 60 kmph                 (c) 64 kmph                  (d) 58 kmph                 (e) None

  1. In what time will a train having a length of 600m, and traveling at a speed of 72 kmph pass completely a platform of length 600m?
(a) 48 sec                     (b) 56 sec                     (c) 60 sec                     (d) 64 sec                     (e) None

  1. Calculate the time taken by a train traveling at a speed of 60 kmph with a length of 550 meters to pass completely another train moving in the same direction with a speed of 25 kmph and having a length of 500 meters?
(a)        150 sec            (b) 120 sec                  (c) 160 sec                   (d) 180 sec                  (e) None

  1. A train 150m long passes a telegraph pole in 12 seconds. In what time will it pass a bridge 350m, long?
(a) 28 sec                     (b) 32 sec                     (c) 36 sec                     (d) 40 sec                     (e) None

  1. A boat goes 100km down stream in 10hrs and 75km up stream in 15 hours. Find the speed of the boat in still water?
(a) 5kmph                    (b) 6kmph                    (c) 7.5kmph                  (d) 6.5kmph                 (e) None

  1. A passenger train covers the distance between station A and B, 27min faster than a goods train. Find the distance if the average speed of the passenger train is 60kmph and that of the goods train is 45kmph.
(a) 81 km                     (b) 72 km                     (c) 144 km                    (d) 90 km                     (e) 18 km

  1. A person row up a km down stream in 10min, and up stream in 30min. Find the velocity of the boat in still water?
(a) 4kmph                    (b) 4.5kmph                 (c) 6kmph                     (d) 2kmph                    (e) None

  1. A student walks from his hours to school at 5kmph and is late by 30minutes. How ever if he walks at 6kmph, he is late by 5min only?
(a) 12km                      (b) 12.5km                   (c) 13km                       (d) 14.5km                   (e) None

  1. Ashok drives to his office at 40kmph and returns home along the same route at 60kmph. What is the speed for entire journey?
(a) 50kmph      (b) 48kmph                  (c) 45kmph                   (d) 46kmph                  (e) None

10. A man on tour travels first 160km at 64kmph and the next 160 km at 80kmph. The average speed for the entire for the journey?
(a) 36kmph      (b) 38kmph                  (c) 40kmph                   (d) 42kmph                  (e) None

11. A thief steals a car at 2.30p.m. and drives it at 60kmph. The theft is discovered at 3p.m. and the owner sets off in another car at 75kmph. When will he overtake the thief?
(a) 4.30p.m     (b) 4.45p.m.                (c) 5.p.m.                     (d) 5.15p.m.                (e) None
12. Two trains start from P and Q respectively and travel towards each other at a speed of 50kmph and 40kmph respectively. By the time they meet, the first train has traveled 100km more than the second train. The distance between p and Q is?
(a) 500km                    (b) 630km                    (c) 660km                    (d) 900km                    (e) None

13. Walking 4/5 of his usual rate, a man is 1 hr too late. Find his usual time.
(a) 28 min                    (b) 30min                     (c) 24min                      (d) 42min                     (e) 36min

14. A man is going to a wedding party. He travels for 2 hrs when the car got punctured. It took his
drives exactly ten minutes to change the wheel. The rest of the Journey he travels at 30
miles/hr and reaches 30 min behind the schedule. He thinks to himself that if the punctured had
occurred 30 miles later, he would have been only 15 mins late. Find the told distance travelled
bythe man.                                                                                                             (INFOSYS)

15. A ship went on a voyage. After it had travelled 180 miles a plane started with 10 times the speed
of the ship. Find the distance when they meet from the starting point.
(INFOSYS)

16. There are some steps, I came down 7 steps then see a man at the bottom. Than he comes up
and I go down at same speed (my speed). When 4 steps are remaining for me I find that man
has reached the top. For my single step downwards he took 2 steps up. Find the total steps.
(INFOSYS)
17.. A 150m long train passes a telegraph pole for 12 secs.  Than how much time it will take to
cover 250m long bridge?
(SATYAM COMPUTERS)

18. A bus started from the bus stand at 8 A.M and after staying 30 minutes at a destination,
returns back to the bus stand. The destination is 27 miles from the bus stand . the speed of the
bus is 18 miles per hour. In the return Journey the bus travels with 50% fast speed. At what time it
returns to the bus stand.
a)1 PM                   b) 12 PM                     c) 11 AM                      d) 10:30 AM
(TCS)
19. If a man can swim down stream at 6 kmph and up stream at 2 kmph his speed in still water is—
(TCS)
20. B is 50% faster than A. if ‘A’ starts at 9 AM and ‘B’ starts at 10 AM. A travels at a speed of
50 Km/hr. If A and B are 300 km apart, the time when they meet when they travel in apposite
direction is                                                                                                              (CTS)

21. A starts at 11 AM and travels at a speed of 4 km/hr. B starts at 1 PM and travels at 1 km/hr for
the first one hour and 2 km/hr for the next hr and so on. At what time they will meet each other?
(CTS)
22..Two trains from the point A and B are moving in opposite direction, at the point they meet the
second train travelled 120kms more than the first, the speeds are 50 kmph and 60 kmph
respectively. Find the distance between A and B.
(SYNTEL)

23.. One monkey climbs a poll at the rate of 6 mts/min and fell down 3 mts alternately. Length of
the poll is 60 mts, how much time it will take to reach the top?                      (SYNTEL)

Data Sufficiency

Note:- In questions below a question is followed by data and the data of the statements labeled as I and II you must decide whether the data given in the statements are sufficient to answer the questions. Using the data make an appropriate from (1) to (4) as per the following guidelines.
(a)                         Mark choice (1) if the statement I alone is sufficient to answer the question.
(b)                         Mark choice (2) if the statement II alone is sufficient to answer the question.
(c)                          Mark choice (3) if both the statements I and II are sufficient to answer the question but neither statement alone is not sufficient.
(d)                         Mark choice (4) if both the statements I and II together are not sufficient to answer the questions and additional data is required.
  1. Will it be a Wednesday tomorrow?
(I)                                  Coming Wednesday is holiday.
(II)                                It is not Tuesday today.
  1. In a class of 120 students, how many girls got distinction
(I)     20 boys in the class got distinction
(II)    25% of the students in the class got distinction
  1. What is the present age of A?
(I)      A was married in his 25th year.
(II)    A was a central government employee and retired in 1998 after completing 60 years.
  1. Who is the heavier among four friends A, B, C and D.?
(I)      B is heavier then A but lighter then D
(II)     C is lighter then B
  1. A and B are standing on a sunny day. A’s shadow is 10 feet long. B’s shadow is 9 feet long. How tall is B?
(I)      A is standing 2 feet away from B
(II)    A is 6 feet tall
  1. What is the area of the circle?
(I)         The circle passes through (0, 0) and (0, 2)
(II)        The circle touches all the four sides of a square of 8 units side
  1. 5 men can do a work 10 days. Some boys joined after 2 days. In how many more days will the work be completed?
(I)         One man can do as much work as two boys
(II)      The boy who have joined can do entire work in 20 days.
  1. A and B are positive real numbers, which of them is greater?
(I)         3A – 2B + C = 0                     (II)        A + B = C
  1. What is the total salary of A, B and C?
(I)         A = B = 2C                             (II)        C = B – 4000
  1. What is the value of 4a2b – 4a2  =?
b
(I)         a = 2                                       (II)        b2 = 1
  1. A boy can swim 2m/hr in still water. What is his speed relative to shore In a river?
(I)         The speed of (flow) river is 3m/hr
(II)        The boy swims in the same directions of current.
  1. For the positive integers a, b is a = b?
(I)The number of positive divisors of ‘a’ is same as that of ‘b’
(II)The set of prime divisors of ‘a’ is same as that of ‘b’

  1. What are integers a and b?
(I)  42a + 65b = 0                              (II) 42a = 65b
14. what is the selling price of product X   (CTS)
I.).Profit as a % sales is 10%, cost price is Rs.27
II.).Profit as % sales is 20%, cost price is Rs.20
15.Find the perimeter of the  of a cart? (CTS)
i.).  When the cart moves 5m, the rear wheel moves R rotations less than the front
wheel
ii).The radius of the rear wheel is 3 times that of
16. Is  a-b+c>a+b-c. a, b,c are integers. (CTS
i.).b is negative                       ii)  c is positive
17.. What is the distance from mumbai to Nagpur? (CTS)
i.) Driving at 90kmph I reach nagpur I hr earlier than if I were to drive at 80kmph.
ii.)Driving at 100kmph I covered 40% of the distance in 7 hrs.
18..What is the age of father and the son?(CTS)
i) The ratio of their ages is 5:3 now and will be 3:2 in 10 years.
ii)  The sum of their ages now is 80, and 5 years ago the ratio was 9:5.
19.  what is the value of a two digit number?
i) The sum of the two digits is four.
ii) The difference between two digits is two.
20. What are the dimensions of a certain rectangle
i.) The perimeter of a rectangle is 14
ii) The diagonal of the rectangle is 5

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