Math Set - 15

1. The sum of the squares of two numbers is 106 and the square root of one of them is 3. the cube of the other number is

a. 27  b. 64
c. 81  d. 125

2. A, B and C go into business as partners and collect a profit of Rs.1000. If A’s capital : B’s capital= 2:3 and B’s capital : C’s capital=2:5, the share of profit which goes to B is

a. Rs.160  b. Rs.240
c. Rs.600  d. Rs.400

3. A sum of money invested at 6% simple interest in the post office Savings Bank amounts to Rs.930 in 4 years. The time it will amount to Rs.1020 at the same rate is

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

4. A man can do a piece of work in 4 days which a woman can do in 12 days. They jointly finished the work and got Rs.60 as remuneration. The amount received by the woman is

a. Rs.15  b. Rs.5
c. Rs.40  d. Rs.45

5. The simple interest on a certain sum of money for four years at a certain rate of interest is 6/25th of the principal. The rate percent of simple interest charged is

a. 14%  b. 15%
c. 12%  d. 6%

6. Out of 10 teachers in a school one teacher retired and a new teacher aged 25 years joined; thereby the average age of the teachers was reduced by 3 years. The age of the retired teacher is

a. 60 years  b. 58 years
c. 55 years  d. 56 years

7. The area of a rectangular field, which is twice as long as it is broad, is 242 square meters. The perimeter of the field is

a. 66 m.  b. 121 m.
c. 22 m.  d. 132 m.

8. A train takes 14 sec. to completely cross one station 200 meters long and 18 sec. to completely cross another station 280 meters long. The length of the train is

a. 100m.   b. 80 m.
c. 110 m.  d. 120 m.

9. One man walks 165 kilometers in 6 days. If he walks 3.75 km in the same time which a second man takes to walk 4 km. the second man will walk in 15 days

a. 400 km.  b. 440 km.
c. 420 km.  d. 460 km.

10. X travels at the rate of 30 km/hr and is 4 kms ahead of Y. Y overtakes X in 16 minutes’ time. Y travels at the rate of

a. 15km/hr  b. 25 km/hr
c. 40 km/hr d. 45 km/hr

11. The answer to the problem “Find by what percent 15/16 exceeds 7/10” is

a. 15%  b. 20%
c. 25%  d. 25.33%

12. The H.C.F. and L.C.M. of two numbers are respectively, 12 and 2448 and their difference is 60. The greater number is

a. 204  b. 144
c. 120  d. 145

13. Given that x% is equal to the product of 1/7 and 0.25. The value of x is

a. 125/7 b. 25/7
c. 57/7  d. 0.175

14. The cost of fencing required to enclose a square field is Rs.210, when the cost of fencing per meter is Rs.3.50. The cost of paving the same field at Rs.3 per sq. meter is

a. Rs.210  b. Rs.420
c. Rs.675  d. Rs.600

15. A purse contains an equal number of rupees, half rupees and quarter rupees. If the total amount in the purse is Rs.85.75 the number of each coin is

a. 45  b. 47
c. 49  d. 51

16. 15 men working 6 hr. a day can do a piece of work in 10 days. The number of men working 4.5 hrs. a day, required to do the same work in 10 days is

a. 20  b. 15
c. 9   d. 6

17. The sum of the present ages of the father and his son is 100 years, and 5 years before their ages were in the ratio of 2:1. The present age of the son is

a. 65 years  b. 35 years
c. 7 years   d. 42 years

18. A room is 15 meter long and the cost of carpeting it is Rs.810. If the breadth of the room were 2 meter less, the cost of the carpeting would have been Rs.675. The perimeter of the room is

a. 50 m.  b. 45 m.
c. 54 m.  d. 60 m.

19. The least number of soldiers that can be arranged in 12, 15 or 18 equal rows and can also be arranged in a solid square is

a. 144  b. 225
c. 324  d. 900

20. In an examination A and B secured 6/7 and 5/6 of the full marks. B secured 20 marks less than A. The marks secured by A were

a. 680  b. 720
c. 700  d. 710

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

Math Set - 14

1. A number on division by 85 gives the remained 48. If the same number is divided by 17, the remainder is

a. 12  b. 14
c. 16  d. 11

2. A train of length 75 meters is running at a speed of 45 kms./hr. To pass a lamp post completely it takes

a. 5 sec  b. 6 sec
c. 8 sec  d. 12 sec

3. A man can row a boat at 8 km/hr. in still water. He rows 1km. in 6 mins in the down-stream. To row 1 km. up the stream he would take

a. 8 mins.  b. 10 mins
c. 12 mins  d. 14 mins

4. The least number to be added to 982 multiplied by 986 to make it a perfect square is

a. 1   b. 2
c. 4   d. 6

5. The sum of the greatest and the least of 3/5, 4/7, 5/9 and 6/11 is

a. 41/35  b. 52/45
c. 86/77  d. 63/55

6. If 9*8091 be divided by 11, then the missing digit will be

a. 1   b. 2
c. 3   d. None of these

7. The least number of 2 digits which divides 216, 360 and 432 without any remainder is

a. 72  b. 48
c. 36  d. 12

8. The number nearest to 999 exactly divisible by 12, 16 and 18 is

a. 864  b. 996
c. 1008  d. 1002

9. In 1989 the total population of a village was 1200. The population increased by 10% in 1990 but decreased by 5% in 1991. The population at the end of 1991 was

a. 1185  b. 1254
c. 1464  d. 1980

10. Three numbers are in the ratio 3:5:6. The sum of the first and the third is greater than the second by 16. The sum of the three numbers is

a. 92  b. 60
c. 58  d. 56

11. The sum of six consecutive odd numbers is 180. The difference of the greatest and the least of the numbers is

a. 6  b. 3
c. 12  d. 10

12. The greater of two numbers is five times the smaller and their sum is greater than their difference by 4. The product of two numbers is

a. 20  b. 10
c. 15  d. 5

13. Two third of a certain number of beggars received 40 p. each and the rest 25 p. each. If the total sum spent is Rs.9.45, the number of beggars is

a. 24  b. 36
c. 27  d. 30

14. A person who pays 5 paise in the rupee as tax, finds that a fall of simple interest from15 to 12 percent diminishes his net income by Rs.11.40. His capital is

a. Rs.410  b. Rs.400
c. Rs.976  d. Rs.380

15. The first day of January, 1992 was Wednesday, the 23^rd December 1992 will be

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

16. The least number that must be added to 617 so that the sum may be a perfect square, is

a. 8   b. 12
c. 4   d. 9

17. An enhancement of the sale price of a pen by Rs.3 turns a loss of 7.55 into a gain of 7.5%. The sale price of the pen is

a. Rs.22  b. Rs.20
c. Rs.18  d. Rs.16

18. A television and radio are together worth Rs.3600. If the price of radio is 4/5th of the television, the price of the radio is

a. Rs.900  b. Rs.720
c. Rs.2880  d. Rs.1600

19. A car travels 100 meters in 9 secs, the rate in kilometers per hour is

a. 45  b. 40
c. 36  d. 60

20. The square root of 48.3025 is

a. 7.25  b. 6.75
c. 6.05  d. 6.95

Answers: 1(b), 2(b), 3(b), 4(c), 5(d), 6(c), 7(d), 8(c), 9(b), 10(d)
11(d), 12(a), 13(c), 14(d), 15(d), 16(a), 17(b), 18(d), 19(b0, 20(d).

Math Set - 13

1. 3 men or 4 women or 5 boys can earn Rs.150 daily. 5 men with 8 women and 3 boys will earn per day

a. Rs.620 b. Rs.640
c. Rs.660 d. Rs.680

2. A man spends in 4 months as much as he earns in 3 months. His annual saving is Rs.1206. His annual income is

a. Rs.4824 b. Rs.4428
c. Rs.8442 d. Rs.4284

3. Two numbers are in the ratio 6:13. If their L.C.M. is 468 then their H.C.F. is

a. 12  b. 8
c. 6  d. 4

4. 8 years ago, the father was 10 times as old as his son and 6 years hence he will be 3 times as old. The present age of the father is

a. 48 years b. 50 years
c. 56 years d. 60 years

5. The least number of 4 digits which when divided by 12, 16 or 24 leaves a remainder 4 in each case, is

a. 1008  b. 1012
c. 1048  d. 1024

6. The least number which divides 6534 to make the resulting number a perfect square is

a. 7  b. 6
c. 3  d. 2

7. If 87.5% of a number be 56, then the number is

a. 64  b. 70
c. 72  d. 80

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

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

9. A man sells an article at a loss of 10%. If he would get Rs.36 more, then he would have gained 12.5% on the cost price. The original sale price of the article is

a. Rs.132 b. Rs.140
c. Rs.144 d. Rs.150

10. Four years ago the average age of the family consisting of the father, mother and the son was 28 years. A boy now joins the family, but there is no change in the average age. The age of the newcomer is

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

11. The perimeter of a rectangular court-yard is 130 meters. The difference of the lengths of the two adjacent sides is 15 meters. The area of the plot (in sq. meters) is

a. 800  b. 900
c. 990  d. 1000

12. To cover a distance a man first travels 3/8th of the whole journey by train, then20% of the remaining by bus. If he has still 6 kms.to go, the distance to be covered(in km.) is

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

13. 12 men working 8 hours a day complete a work in 10 days; 10 men working 6 hrs. a day will complete the same work in

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

14. A can do twice as much work as B in the same period. If they jointly can complete a particular work in 2 days, then B alone can complete the same in

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

15. Two pipes can fill an empty cistern in 20 mins and 30 mins respectively. If they are opened simultaneously, then half of the empty cistern will be filled up in

a. 10 mins b. 8 mins
c. 6 mins d. 4 mins

16. A man sold 14 articles for one rupee, thereby losing 4%. To gain 12% the number of articles to sold per rupee is

a. 10  b. 11
c. 12  d. 13

17. A garrison has enough food for 40 days. After 10 days a batch of 200 men joined them and the remaining food lasted for 20 days only. The number of men originally in the garrison was

a. 200  b. 250
c. 300  d. 400

18. The simple interest for 4 years is half that of the principle. At the same rate percent of simple interest in 2 years Rs.500 amounts to

a. Rs.625 b. Rs.650
c. Rs.660 d. Rs.675

19. Rs.620 is divided amongst A, B and C in such a way that C gats half of what B gets and B gets Rs.20 less than what a gets, C gets

a. Rs.120 b. Rs.125
c. Rs.130 d. Rs.140

20. If the radius of a circular plot land is increased by 20%, the circumference of the plot increased by

a. 30%  b. 25%
c. 20%  d. 15%

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