Math Set - 6

1. 6 mangoes are bought for Rs.5 and 5 mangoes are sold at Rs.6. The profit is

a. 40%  b. 44%
c. 48%  d. 51%

2. 4 percent is gained by selling an article for Rs.3.12. To gain 8 percent the article must be sold at

a. Rs.3         b. Rs.3.10
c. Rs.3.20 d. Rs.3.24

3. The principle that will amount to Rs.411.25 at simple interest at 5% for 3.5 years is

a. Rs.400  b. Rs.300
c. Rs.350  d. Rs.250

4. If x increased by 25% of itself, the result is diminished by 20% of itself and the final value is 300. The value of x is

a. 300  b. 250
c. 200  d. 350

5. An article is sold at a loss of 7.5% and yields Rs.6 less than if sold at a profit of 12.5%. The cost price of the article is

a. Rs.20  b. Rs.30
c. Rs.40  d. Rs.150

6. The time that 15 men will take to plough 33 acres, if 6 men take 10 days to plough 12 acres of land, is

a. 15 days  b. 12 days
c. 11 days  d. 10 days

7. A peon has a salary of Rs.1000 per month and a carpenter earns Rs.30 per day, but he is idle for 65 days in the year. The ratio of their income is(take 1 year=365 days)

a. 4:5  b. 5:6
c. 4:3  d. None of these

8. The price of a horse is 45% more than that of a cow. The total price of both is Rs.1225. The price of cow is

a. Rs.450  b. Rs.500
c. Rs.560  d. Rs.700

9. If 42 out of 60 students pass, the percentage of pass is

a. 60  b. 70
c. 72  d. 80

10. The largest number by which 63, 87 and 123 will be divided to leave the same remainder is

a. 8  b. 12
c. 16  d. 18

11. The number of square meters in one are is

a. 10  b. 100
c. 1000  d. 10000

12. A number changed to 69 on being increased by 15% the number is

a. 45  b. 50
c. 60  d. 64

13. The number of prices each 3.4 cm. long that can be cut from a length of 4.3 meters of a wire is

a. 125  b. 210
c. 126  d. 100

14. The average daily salary per head of all the workers including the officer is Rs.60 and that of 16 officers is Rs.300. The average daily salary per head of the rest is Rs.55. The total number of workers including the officers is

a. 1000  b. 850
c. 750  d. 784

15. A dealer makes 20% profit on his cost and the retailer 20% on his sales. The amount of percentage the consumer pays above the manufacturer’s price is

a. 20%  b. 30%
c. 40%  d. 50%

16. 55 persons can complete a work in 9 hours. The number of extra men that should be employed to finish it in 5.5 hours is

a. 45  b. 42
c. 90  d. 35

17. A book contains 800 pages of 45 lines each. The number of lines per page it must be made up if, it is to be completed in 900 pages is

a. 40  b. 50
c. 35  d. 55

18. An amount doubles itself in 20 years. The time which it will triple itself is

a. 50 years  b. 35 years
c. 40 years  d. 45 years

19. The largest number of 5 digits which is perfect square is

a. 99814  b. 99826
c. 99856  d. 99975

20. A man buys chocolates at Rs.50 per ten. He sales them at Rs.72 per dozen. His gain percent is

a. 6  b. 5
c. 20  d. 15

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

Math Set - 5

1. The square number between 1000 and 2000 which is divisible by 13 is

a. 1495  b. 1508
c. 1521  d. 1534

2. The smallest number of six digits which is a perfect square is

a. 100472  b. 100489
c. 100526  d. 100548

3. 7.5 % of Rs.2500 is

a. Rs.180  b. Rs.185
c. Rs.190  d. None of these

4. In a race of 1500 meters A and B by 50 meters and C by 79 meters. In 1000 meters race (assuming the rates of running being the same as in the previous race) B beats C by

a. 10 m  b. 12 m
c. 16 m  d. 20 m

5. A man makes a profit of 20% on sales. The percentage of profit on cost becomes

a. 20  b. 30
c. 25  d. 22.5

6. Square of 197 is equal to 38809; square of 198 is equal to

a. 39184  b. 39194
c. 39204  d. 39214

7. 62.7525 when divided by 2.25 is

a. 2.789  b. 27.89
c. 0.2789  d. 278.9

8. A man traveled 3/7 of the total distance by boat and 2/5 by train. The remaining 18 km. he walked. The total distance he traveled is

a. 80 km.  b. 96 km.
c. 100 km.  d. 105 km.

9. 2 men and 5 boys can do half of a piece of work in 5 days and 3 men and 4 boys can do 1/3 of it in 3 days. The number of days that 9 men will take to do it is

a. 9 days  b. 7 days
c. 5 days  d. 8 days

10. If 2500 men have provisions for 150 days, and if after 15 days 1000 men go away then the remaining provisions will serve, the number left for

a. 81 days  b. 225 days
c. 135 days d. 200 days

11. The number of days old that a person would be on 31 December, 1910 who was born on 24th January, 1892 is

a. 6915  b. 6916
c. 6917  d. 6918

12. The number of square meters in a square kilometers is

a. 1000  b. 10000
c. 100000 d. 1000000

13. 0.56 of a right angle when expressed in degrees, becomes

a. 48.6  b. 50.4
c. 52.2  d. 54.6

14. Rs.2520 is divided into two parts one of which is 10/11 of the other. The smaller part is

a. Rs.1200  b. Rs.1320
c. Rs.2000  d. Rs.1500

15. In order that 5416*6 will be a perfect square, the missing digit will be

a. 3   b. 5
c. 7   d. 9

16. The time in which Rs.1500 amounts to Rs.1770 at 9% simple interest per annum is

a. 1.5 years b. 2 years
c. 2.5 years d. 3 years

17. The time taken by a train 135 meter long moving @ 57 km. per hour to pass over a platform of length 245 meter is

a. 20 sec  b. 24 sec
c. 28 sec  d. 30 sec

18. An amount Rs.8100 is left after paying income tax @ 10%. The amount that will be left after paying income tax @ 15% is

a. Rs.7640  b. Rs.7680
c. Rs.8000  d. None of these

19. A mixture of 200 liters of milk and water contains 12.5 % of water. The quantity of water that should be mixed so that the mixture will contain 37.5% water, is

a. 60 liters  b. 75 liters
c. 80 liters  d. None of these

20. A man paid 18% of his income in insurance and 11% in rent. His insurance payment was Rs.360. His payment for rent was

a. Rs.220  b. Rs.200
c. Rs.180  d. Rs.160

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

Math Set - 4

1. A sheet of postage stamps is 22 cm. wide and 33 cm. long: each stamp is 2 cm. wide and 3 cm. long. The number of stamps in the sheet is

a. 131  b. 121
c. 125  d. 119

2. A number changes to 44 on being reduced by 12%. The number is

a. 50   b. 40
c. 60  d. 45

3. A man sold an article for Rs.60 so as to gain 20%. Had he sold the article for Rs.120, his profit would have been

a. 40%  b. 80%
c. 140%  d. 120%

4. The age of the father and the son are together 35 years. If twice of the father’s age added to three times of the son, is 75 years, the son’s age is

a. 2 years  b. 6 years
c. 4 years  d. 5 years

5. A sum of money lent at simple interest yields amounts to Rs.222 and Rs.240 at the end of 4 and 5 years. The rate of interest is

a. 10%  b. 9%
c. 12%  d. 15%

6. In an examination failure in English is 27%, that in Mathematics is 22% and that in both subject is 14%. The percentage of passes in both subjects is therefore

a. 37  b. 21
c. 65  d. 35

7. A man was engaged in a certain work for 6 days on the agreement that for everyday he worked he would get Rs.16 but that for everyday he absented himself he would be fined Rs.4. If he finally received Rs.76 at the bud of the work, then he was absent for

a. 1 days  b. 2 days
c. 5 days  d. None of these

8. A man standing on a railway platform noticed that a train traveling at the rate of 44 km. per hour took 9 seconds to pass him. The length of the train is

a. 120 m.  b. 112 m.
c. 100 m.  d. 110 m.

9. A certain sum of money was divided between A, B and C in the proportion of 5, 6 and 9 respectively. If A received Rs.45, then the whole sum of money was

a. Rs.100  b. Rs.120
c. Rs.160  d. Rs.180 

10. A rectangular solid is twice as long as it is broad and its height is 3 m. If its volume is 384 cu. m. its length is

a. 8 m.  b. 12 m.
c. 16 m.  d. None of these

11. With current a man can now boat 1 km. in 6 minutes and against current 1 km. in 10 minutes. The speed of the current is

a. 1.5 km/hr b. 1 km/hr
c. 2.5 km/hr d. 2 km/hr

12. Two samples of tea costing respectively Rs.54 per kg. and Rs.72 per kg. are blended. By selling the mixture at Rs.70 per kg., there is a 16.66% gain. The proportions of the mixture is

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

13. The number 11.5% of which is 69 is

a. 500  b. 600
c. 650  d. 700

14. The average salary income of A, B, C is Rs.140 and that of B, C, D is Rs.150. If the salary of A is Rs.130, that of D will be

a. Rs.160  b. Rs.172
c. Rs.184  d. Rs.200

15. The smallest integer by which 1792 should be multiplied to make it a perfect square is

a. 3   b. 5
c. 7   d. 9

16. The sum of two numbers is 2760, and the greater number is 11 times the smallest number, then the greater number is

a. 230  b. 2530
c. 276  d. 2150

17. The gross value of an estate which yields Rs.3,800 after the deduction of commission of 5% is

a. Rs.5000  b. Rs.4500
c. Rs.4000  d. Rs.3500

18. 15% of Rs.34 is

a. Rs.3.5  b. Rs.5
c. Rs.5.1  d. Rs.5.3

19. An article which cost Rs.130 was sold at a profit of 7.5%. The selling price of the article was

a. Rs.130    b. Rs.139.75
c. Rs.142.25    d. Rs.145

20. A pile of metal discs is 27.3 cm. in height. If each disc is 0.7 cm. thick, then the number of discs in the pile is

a. 35  b. 37
c. 39  d. 41

Answers: 1(b), 2(a), 3(c), 4(d), 5(c), 6(c), 7(a), 8(d), 9(d), 10(c)
11(d), 12(a), 13(b), 14(a), 15(c), 169b), 17(c), 18(c), 19(b), 20(c).