Math Set - 12

1. In an election contest, 80% of the total number of voters cast their votes and the winner wins by getting 65% of the number of votes cast. The percentage of votes received by the winner with respect to the total number of voters is

a. 52  b. 53
c. 54  d. 55

2. A man makes a profit of 25% on cost price. This is represented on sale price as a gain of

a. 22%   b. 20%
c. 18.5% d. 16.3%

3. In a certain year the production of articles in a factory increases from 5600 to 7560. The increase in percentage of production of articles is

a. 40  b. 37.5
c. 35  d. 32.5

4. In a class there are 120 students. 60 of them pass in Bengali, 50 in English but 30 fail in both the subjects. The number of students who pass in both the subjects is

a. 30  b. 25
c. 20  d. 16

5. Some 50 posts are placed in a straight line at equal intervals covering a distance of 245 meters. The distance between two consecutive posts (in meter) is

a. 6    b. 5
c. 4.9  d. 3

6. Two alloys contain copper and zinc in the ratio of 8:3 and 15:7 respectively. If the two alloys are mixed in the proportion of 5:2, then the ratio of copper and zinc in the newly formed alloy is

a. 3:2  b. 4:3
c. 5:2  d. 5:3

7. A milk-man buys pure milk at Rs.10 per liter. He mixes water in such a proportion that by selling the adulterated milk at Rs.8 per liter he gains 20% on his outlay. The ratio of pure milk to water is

a. 3:2  b. 3:1
c. 2:3  d. 2:1

8. A boat covers a distance from A to B down the stream in 10 hrs. and from B to A in 20 hrs. If the speed of the boat in still water is 9 kms./hr, the distance between A and B in kms. Is

a. 125  b. 120
c. 115  d. 110

9. The greatest number of 3 digits which when divided by 20 leaves remainder 18 and when by 24 leaves remainder 22. The number is

a. 958  b. 960
c. 962  d. 964

10. A shopkeeper marked the sale price of his goods above 20% of the cost price. But at the time of selling he allows a commission of 12.55 to his customers. By this, the percentage of his gain stands at

a. 8.2  b. 6.4
c. 5.3  d. 5

11. A man makes a profit of 25% by selling 16 articles for Re.1. The numbers of articles he purchased for Re. 1 is

a.10  b. 20
c.12  d. 25

12. The ratio of ages of A and B is 5:9. One of them is older than the other by 24 years. The sum of the ages of A and B is

a. 76 years  b. 80 years
c. 84 years  d. 88 years

13. The monthly salaries of A and B are in the ratio 3:5. If A receives an increment of 10% and B 5%, the ratio of monthly salaries of A and 5 changes to

a. 22:35  b. 20:31
c. 18:25  d. 16:21

14. Wheat is bought at Rs.400 per quintal and sold at Rs.4.50 per kg. The profit percent is

a. 18.3%  b. 16.2%
c. 12.5%  d. 8% 

15. In a class there are 100 students. In an examination 70 % of them pass in Bengali and 60% pass in English. The maximum number of students who fail in both the subjects is

a. 20  b. 24
c. 26  d. 30

16. The daily income of A, B and C are as 2:5:8 A gets Rs.36 less than what C gets. The total daily income of the 3 persons is

a. Rs.100  b. Rs.90
c. Rs.80  d. Rs.60

17. A man buys a table and a chair for Rs.700. He sells the table at a profit of 20% and the chair at a loss of 10%. He still gains Rs.80. The cost price of the table is

a. Rs.200  b. Rs.300
c. Rs.500  d. Rs.400

18. The difference of two integers is 2134; one of them is twice the other. The smallest one is

a. 1234  b. 1324
c. 1423  d. 2134

19. A man wishes to distribute 90 fruits amongst 35 children. If each girl receives 3 fruits and each boy 2 fruits, the total number of boys is

a. 16  b. 15
c. 14  d. 12

20. The product of two numbers is 936. Their ratio is 13:18. The greater one is

a. 42  b. 36
c. 34  d. 37

Answers: 1(a), 2(b), 3(c), 4(c), 5(b), 6(c), 7(d), 8(b), 9(a), 10(d)
11(b), 12(c), 13(a), 14(c), 15(d), 16(b), 17(c), 18(d), 19(b), 20(b).

Math Set - 11

1. The reduction of 12.5% in the price of an article enables a man to purchase 5 more for a rupee. The number of articles that can be purchased at the reduced price(per rupee) is

a. 40  b. 30
c. 48  d. 45

2. The simplified value of 0.0011-[0.011-{0.01-(0.1-0.2)}] is

a. 0.110   b. 0.1001
c. 0.1011  d. 0.0011

3. The price of 8 pens and 6 pencils is Rs.49 and that of 6 pens and 8 pencils is Rs.42. The price of each pencil is

a. Rs.5    b. Rs.3
c. Rs.1.50 d. Rs.1

4. A car travels at the rate of 40 km. per hour. In 9 seconds the car travels

a. 100 meters b. 150 meters
c. 75 meters  d. 120 meters

5. The square root of 11.1111 is

a. 1.1  b. 1.1111
c. 3.3  d. 3.3333

6. The maximum length of a rod that can be placed in a card board box whose inside measurement is 4 cms. breadth, 5 cm height and 20 cm length, is

a. 21 cm.  b. 21.2 cm.
c. 22 cm.  d. 22.5 cm.

7. A sum of money is deposited in a Bank at a fixed rate of interest (simple). If after two years it amounts to Rs.620 and after 4 years to Rs.740, the rate percent per annum of interest is

a. 10  b. 12
c. 14  d. 16

8. Three partners X, Y and Z contribute Rs.5000, Rs.6000 and Rs.7000 respectively to start a business. They agree to share the profits in proportion to their capitals. At the end of a year if Z gets Rs.1421 as his share of profit, then Y gets

a. Rs.1218  b. Rs.2436
c. Rs.1624  d. Rs.1842

9. A man can do double the amount of work that a boy can do in a given period of time. If 4 men and 8 boys can complete a work in 6 days, the same work can be completed by 2 men with 8 boys in

a. 8 days   b. 9 days
c. 10 days  d. 12 days

10. A leaky cistern contains water just sufficient to last for 30 days, it 35 liters are taken out daily. It lasts for 40 days if 25 liters are taken out daily. When full the volume of water in the cistern (in liters) is

a. 1000  b. 1100
c. 1200  d. 14000

11. Rs.600 is invested for some years at a certain rate percent per annum simple interest. If after the fixed period, the interest becomes ¼th of the total amount, the interest will be

a. Rs.240  b. Rs.200
c. Rs.180  d. Rs.160

12. In two successive years 56 and 64 students of a school appeared at the final examination. 75% and 87.5% passed. The average rate percent of pass is

a. 78%  b. 80%
c. 83%  d. 81.66%

13. A circle is inscribed in a square whose side is 21 cm. The area of the circle is (in sq.cms.)

a. 342.5  b. 344.5
c. 346.5  d. 348.5

14. A man standing on a railway platform observes that a moving train takes 5 secs to cross him and 16 secs to cross the platform completely. If the speed of the train be 54 km./hr., the length of the platform is

a. 150 m.  b. 165 m.
c. 176 m.  d. 187 m.

15. A man goes from A to B at a speed of 6km/hr. His average speed (in km.) is

a. 7   b. 7.5
c. 8   d. 10

16. A merchant buys tea at Rs.70 and Rs.80 per kg. and mixes them in the proportion of 3:2. He gains 25% on cost; he sells the blended tea per kg. at

a. Rs.74  b. Rs.80.50
c. Rs.85  d. Rs.92.50

17. A contractor employs 20 men to complete a job in 10 days but in 6 days the job is half finished. If it is to be completed in the fixed time, the number of additional men to be employed is

a. 6   b. 8
c. 9   d. 10

18. The number of prime numbers between 60 and 90 is

a. 6   b. 7
c. 8   d. 9

19. A garrison of 500 men has enough food for 40 days. After some days 300 men went away and the remaining food lasted for 50 days. The days after which the men left the garrison is

a. 20  b. 22
c. 24  d. 25

20. A man sells an article at a loss of 20%. This loss is represented on sale price as a loss of

a. 33%  b. 25%
c. 18%  d. 16%

Answers: 1(a), 2(b), 3(c), 4(a), 5(d), 6(a), 7(b), 8(a), 9(a), 10(c)
11(b), 12(d), 13(c), 14(b), 15(b), 16(d), 17(d), 18(b), 19(a), 20(b).

Math Set - 10

1. A box contains 378 coins in rupee, fifty paise and twenty-five paise coins, the ratio of their rupee values being 13:11:7. The number of 50 paise coins is

a. 42  b. 78
c. 66  d. 132

2. A sum of money doubles itself in 20 years. The sum of money that amounts to Rs.540 in 4 years at the same rate of simple interest is

a. Rs.400  b. Rs.550
c. Rs.650  d. Rs.450

3. A tradesman makes his goods at 25% above the cost price. If he allows his customers a deduction of 10% in the bill, the percentage of profit he makes is

a. 15%  b. 10%
c. 20%  d. 12.5%

4. If 12 men can do a piece of work in 30 days at 9 hours a day; the number of men that will be required to do the work, if they work for 24 days at 5 hours a day, is

a. 21  b. 30
c. 27  d. 35

5. If A:B=3:4; B:C=6:5, then A:C will be

a. 3:5  b. 4:5
c. 9:10  d. 4:9

6. A clock losses 6.5 sec. per hour when the room is hot, but gains 3.9 sec. per hour when the room is cold. The clock keeps correct time in 24 hours. In 24 hours the room is hot for

a. 6 hrs.  b. 8 hrs.
c. 18 hrs  d. 9 hrs

7. The perimeters of two square fields are 48 meters and 20 meters respectively. The perimeter of a third square which is equal in area to the sum of the areas of these two squares is

a. 68 m.  b. 34 m.
c. 44 m.  d. 52 m.

8. The percentage by which 120 is to be diminished to get 30 is

a. 30%  b. 25%
c. 20%  d. 33%

9. A train leaves one station at 6-45 pm and reached a second station 150 km away at 10-30 pm. The speed of the train in km. per hour is

a. 20 km./hr b. 30 km./hr
c. 40 km./hr d. 45 km./hr

10. A can row one kilometer in 6 minutes down the river and 6 km in 1 hour up the river. The speed of the current is

a. 2.5 km/hr b. 2 km./hr
c. 4 km./hr d. 3 km./hr

11. 90% of A’s income is Rs.342. If B earns Rs.456 at the same time, B’s income is more than that of A by

a. 10%  b. 15%
c. 20%  d. 25%

12. A certain number is divided into two parts such that18 times the first part added to 5 times the second equals 8 times the whole. The ratio of the parts is

a. 18:5  b. 5:18
c. 5:8  d. 3:10

13. The sum of two numbers is 45 and their difference is 1/9 of their sum. Their L.C.M. is

a. 200  b. 250
c. 100  d. 150

14. The least number which when divided by 24 and 36 leaves the remainder 17 and 29 respectively, is

a. 48  b. 72
c. 79  d. 65

15. The population of a place is 1200. In a year the births are 1 in 20 and the deaths 1 in 25. The population after one year will be

a. 1212  b. 1224
c. 1204  d. 1240

16. The sum of seven consecutive even integers is 140; the greatest even integer is

a. 22  b. 24
c. 26  d. 28

17. The product of two numbers is 20.The sum of the two numbers is greater than their difference by 4. The ratio of the greater to the smaller number is

a. 5:1  b. 3:2
c. 4:3  d. 7:2

18. The equal sums are invested at simple interest at the rate of 10% p.a. and 125 p.a. for 3 years. If at the end of the period the total interest amounts to Rs.363, the total sum invested is

a. Rs.550  b. Rs.600
c. Rs.1100  d. 1200

19. The number of days in the first five months of the year 1916 A.D. was

a. 150  b. 151
c. 152  d. 148

20. The least number added to 804 to make it a perfect square is

a. 37  b. 96
c. 67  d. 49

Answers: 1(d), 2(d), 3(d), 4(c), 5(c), 6(a), 7(d), 8(b), 9(c), 10(b)
11(c), 12(d), 13(c), 14(d), 15(a), 16(c), 17(a), 18(c), 19(c), 20(a).