Math Set - 18

1. A sample is prepared by adding 25% by volume of water to pure glycerin. 40 liters of the sample is taken and to it pure glycerin is added in such a way that water comes down to 5% of the volume of the mixture. The of pure glycerin added is

a. 150 liters b. 100 liters
c. 160 liters d. 140 liters

2. A man has to cover 80 km. in 10 hours. He covers half of the journey in 3/5 of the time. If he has cover the remaining distance in the time left, his speed in km. per hour should now be

a. 12  b. 10
c. 15  d. 8

3. The sum of the ages of A and his father is 63 years. Four years ago the father was four times as old as A. The present age of the father is

a. 50 years  b. 45 years
c. 44 years  d. 48 years

4. The least number which must be added to 5322 multiplied by 5326 to make it a perfect square is

a. 4   b. 9
c. 1   d. 25

5. The daily wages of two workers are in the ratio 5:6. One gets Rs.11 more than the other. The total wages earned by them together in one day, is

a. Rs.120  b. Rs.121
c. Rs.132  d. Rs.88

6. A sum of Rs.625 is divided amongst 3 men, 5 women and 6 boys in such a way that each man receives 3 times as much as woman and each woman twice as much as a boy. The amount received by a woman is

a. Rs.25  b. Rs.75
c. Rs.50  d. Rs.60

7. The average monthly salary of A, B and C is Rs.400, and that of B, C and D is Rs.500. The actual salary of D is

a. Rs.575  b. Rs.475
c. Rs.525  d. Rs.350

8. Three persons A, B, C start a business, their capitals being in proportion 3:4:5. The amount of profit earned by C exceeds that earned by A by Rs.200. The total profit earned is

a. Rs.600   b. Rs.800
c. Rs.1000  d. Rs.1200

9. There are articles of three types A, B, C. 5 articles of type A cost as much as 8 articles of type B and 30 articles of type B cost as much as 3 articles of type C. The number of articles of type C that can be exchanged for 50 articles of type A, is

a. 6   b. 8
c. 10  d. 5

10. A bookseller sold 20 books for Rs.1750, thereby losing the cost price of 6 books. The percentage loss of the bookseller is

a. 15%  b. 10%
c. 20%  d. 30%

11. In 12 liters of diluted acid, the volumes of water: acid=1:5, some liters of acid are added so as to change the ratio to 1:8. The number of liters of acid added, is

a. 5   b. 6
c. 4   d. 3

12. The price of an article is reduced by 25%. Before reduction 12 articles could be purchased for Re.1. After reduction the number of articles that can be purchased for Re.1, is

a. 14  b. 15
c. 16  d. 18

13. The time taken by a boat in going from A to B and back to A is 5 hrs.20 m. If AB is 10 km. and speed of the current is 1 km. per hour, the speed of the boat in still water in km. per hour is

a. 3   b. 4
c. 5   d. 6

14. A number on being divided by 5 and 8 successively leaves remainders 3 and 7 respectively. The number on division by 40, leaves remainder

a. 23  b. 26
c. 38  d. 34

15. A sum of money amounts to Rs.1920 in 5 years and to Rs.2208 in 7 years. The rate per cent of simple interest per annum is

a. 9   b. 10
c. 11  d. 12

16. The least integral number exactly divisible by ½, ¾ and 5/6 is

a. 15  b. 12
c. 8   d. 6

17. Of the numbers 3, 4, 8, 9, 11 the factors of 45276 are

a. 3, 4, 9  b. 3, 4, 11
c. 3, 4, 8  d. 3, 8, 11

18. The least number which divides 8019 to make the result a perfect square, is

a. 9   b. 6
c. 13  d. 11

19. The sum of two numbers is 2490: 6.5% of one number is equal to 8.5% of the other. The large number is

a. 1411  b. 1412
c. 1410  d. 1417

20. The price of an article is increased by 30%. It will return to the original price by a reduction of

a. 33.15%  b. 23.07%
c. 26.08%  d. 30%

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

Math Set - 17

1. A is three times more efficient than B. Some work is completed by B in 12 days. The same work can be completed, when they work together, in

a. 3 days  b. 4 days
c. 2 days  d. 3.5 days

2. A is twice as old as B at present. 12 years ago he was six times as old. The present of A is

a. 25 years  b. 30 years
c. 24 years  d. 20 years

3. A tap can fill a cistern in 12 minutes, but due to a leak at the bottom of the cistern, it takes 3 minutes more to be filled up. If the tap is closed, the full cistern can be emptied through the leak in

a. 30 mins.  b. 40 mins
c. 60 mins   d. 45 mins

4. Rs.950 is divided amongst A, B, C. The shares of A and B are in the ratio of 2:3 and those of B and C in the ratio of 3: 5. B gets

a. Rs.190  b. Rs.475
c. Rs.285  d. Rs.150

5. A reduction of Rs.20 in the sale price of an article changes a profit of 12.5% to loss of 12.5%. The cost price of the article is

a. Rs.60  b. Rs.90
c. Rs.80  d. Rs.72

6. Telegraph posts are posted at equal distance to cover a distance of 1 km. The number of telegraph posts is 51. The distance between two consecutive posts, in meters, is equal to

a. 19  b. 20
c. 21  d. 19.5

7. The weight of copper and zinc in two alloys are in the ratio 5:3 and 1:7 respectively. Equal weights of the two alloys are melted together to form a third alloy. The ratio of copper and zinc in the third alloy is

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

8. In a certain year (not a leap-year), the first day of February was Monday. The first day of November of the same year was

a. Monday    b. Tuesday
c. Wednesday d. Sunday

9. Rebate at the rate of 15% is allowed when electricity bills are paid in time. A rebate of Rs.97.50 was allowed on a bill. The amount of the bill was

a. Rs.600  b. Rs.650
c. Rs.750  d. Rs.660

10. A number of workers in a factory receives Rs.13 per day, twice as many receives Rs.15 a day and thrice as many receives Rs.17 per day. The daily wage bill of the workers in the factory is Rs.1,410. The total number of workers in the factory is

a. 60  b. 70
c. 80  d. 90

11. The sides of two squares are 13cm. and 5cm. respectively. The third square has its area equal to the difference of the areas of the two given squares. The length of the side of the third square is

a. 12cm  b. 10cm
c. 8cm   d. 6cm

12. There are forty students in a class and the ratio of the number of boys to the number of girls in the class is 3:1. A number of girls is admitted into the class and the ratio of the number of boys to the number of girls changes to 3:2. The number of newly admitted girls is

a. 5   b. 12
c. 10  d. 15

13. The price of an article A is 16% more than that of a second article B. The difference of the prices of the articles is Rs.48. The price of A and B together amount to

a. Rs.348  b. Rs.300
c. Rs.564  d. Rs.648

14. A can do apiece of work in the same time in which B and C together can do it. The same work can be done by A and B together in 10 days and by C alone in 50 days. B can do the work in

a. 20 days  b. 25days
c. 30days   d. 18 days

15. A man was able to decrease the consumption of sugar by 25% when the piece of sugar is increased by 40%. The percentage increase or decrease in expenses on sugar is

a. increase 5%      b. decrease 5%
c. increase 10%     d. decrease 10%

16. The rate per cent per annum simple interest at which Rs.1200 amounts to Rs.1668 in six years, is

a. 12%   b. 9%
c. 6.5%  d. 7.5%

17. After traveling a distance of 120 km. on the second day, a man finds that the distances covered by him in the first two days are as 5:6. The distances covered by him on the first and the third day are as 4:5. On the third day the man travels

a. 100 km  b. 120 km
c. 80 km   d. 125 km

18. The time in which Rs.2000 invested at 5% simple interest per annum produces an income which is the same as that obtained by invest per annum for 5 years is

a. 6 years  b. 8 years
c. 5 years  d. 6.5 years

19. A man invested ¼ of his savings in company A, 1/5 of it in company B and the remaining Rs.2750 in company C. The amount invested in company A was

a. Rs.1000  b. Rs.1500
c. Rs.1250  d. Rs.1200

20. A sold an article to B at a profit of 20%, B sold the same article to C for Rs.75, thereby making a profit of 25%. A’s cost price of the article is

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

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

Math Set - 16

1. A trade marks his goods 25% above cost price, but allows a discount of 8% to his customer. His profit per cent is

a. 12.5  b. 15
c. 12    d. 17

2. A number is first increased by 10% and then decreased by 10%. The percentage change in the number is

a. Nil  b. increased by 1%
c. decreased by 1%
d. increased by 1.5%

3. A man spends in 4 months as much as he earns in 3 months. His annual savings is Rs.1,200. His annual earning is

a. Rs.4800  b. Rs.4428
c. Rs.4842  d. Rs.4284

4. The least number which divides 7623 to make it a perfect square is

a. 6   b. 7
c. 9   d. 3

5. Half the sum of two numbers is 20 and 3 times their difference is 18. The product of the two numbers is

a. 391  b. 319
c. 193  d. 360

6. 855/1881 reduced to its lowest terms is

a. 5/21  b. 11/12
c. 5/12  d. 5/11

7. The product and quotient of two numbers are 100 and 4 respectively. The sum of two numbers is

a. 21  b. 25
c. 20  d. 24

8. The least number subtracted from 293 to make the result a perfect square, is

a. 4   b. 1
c. 3   d. 2

9. A man paid 7.5% of his income in General Provident Fund and 13.5% to Insurance Premiums. For Insurance premiums he paid Rs.270. His total payment was

a. Rs.400  b. Rs.420
c. Rs.500  d. Rs.650

10. One train travels 448 km. in 8 hours and a second train travels 504 km. in 12 hours. The ratio of their average speed in km. per hour is

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

11. From a place a ship went 12 km. straight towards south and then moved 5 km. straight towards east. The distance of the ship now, as seen from the starting place, is

a. 17 km.  b. 13 km.
c. 7 km.   d. 10 km.

12. The number of days constituting the first four months of the year 1900 A.D. was

a. 119  b. 120
c. 121  d. 122

13. The number of prime numbers between 70 and 90 is

a. 7   b. 6
c. 5   d. 8

14. The least integer added to 89 multiplied by 95 to make in a perfect square is

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

15. Three numbers are in the ratio of 3:4:6 and their H.C.F. is 12. The L.C.M. of the three numbers is

a. 72   b. 96
c. 192  d. 144

16. If the cost of fencing a square field at Rs.5.50 per meter is Rs.220, the cost of paving of the field at Rs.7 per square meter, is

a. Rs.400  b. Rs.800
c. Rs.700  d. Rs.640

17. The smallest number which when divided by 20, 42 or 63 leaves a remainder 11 in each case is

a. 1260  b. 1271
c. 1270  d. 1259

18. A container full of water weights 28 kg. When halfful it weights 18 kg. The weight of the container is

a. 18 kg.  b. 20 kg.
c. 8 kg.   d. 12 kg.

19. 12% of the cattle of a village died in a flood and 5% of the remainder died subsequently of malnutrition. If 8,360 cattle survive, the number of cattle the village originally had, was

a. 7500   b. 10,000
c. 5,000  d. 12,000

20. 82*081 is divided by 11. The * marked digit is

a. 3   b. 5
c. 2   d. 9

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