Math Set - 9

1. Rs.310 were divided amongst 100 children ; each boy received Rs.2.50 and each girl Rs.4. The number of girls was

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

2. The product of two numbers is 5436 and half of one of them is 302. The other number is

a. 9   b. 7
c. 8   d. 11

3. 5 chairs and 2 tables cost Rs.1080; the cost of 2 chairs is equal to that of 1 table. The cost of 1 chair and 1 table is

a. Rs.360  b. Rs.290
c. Rs.350  d. Rs.475

4. A man spends in 4 months as much as he earns is 3 months. The annual savings out of an annual income of Rs.4824 is

a. Rs.1206  b. Rs.1528
c. Rs.1600  d. Rs.840

5. Two numbers are in the ratio 5:7 and their H.C.F is 12. The L.C.M of the number is

a. 420  b. 60
c. 84  d. 140

6. The present ages of the father and the son are together 60 years. 6 years ago the father was 5 times as old as the son. The age of the son after 6 years will be

a. 20 years  b. 16 years
c. 18 years  d. 24 years

7. A number lies between 1000 and 1500. The number is exactly divisible by 36 and 102.The number is

a. 1336  b. 1224
c. 1024  d. 1152

8. The smallest integer by which 1183 is to be divided to make it a perfect square is

a. 2   b. 3
c. 5   d. 7

9. The difference between ¾ of Rs.100 and ¾% of Rs.100 is

a. Rs.75 b. Rs.25
c. Rs.74.25 d. Rs.75.40

10. A reduction of 10% in the price of tea enables one to purchase 1 kg. tea more for Rs.720. The original price of tea per kg. is

a. Rs.72  b. Rs.80
c. Rs.90  d. Rs.88

11. A sold one article to B and lost 20%, B sold it to C and gained 20%. If A sold the article for the price C paid, he would have

a. Gained 4% b. Lost 4%
c. Gained 5% d. Lost 5%

12. The average of 10 number is 6.5, the average of the first six is 4.5 and that of the last five is 9. The sixth number is

a. 10  b. 9
c. 8     d. 7

13. The length of a rectangular lawn is twice its breadth. The cost of leveling it @ Rs.2.50 per square meter is Rs.500. the cost of enclosing it with a fence of iron railings @ Rs.12 per meter is

a. Rs.1500  b. Rs.1000
c. Rs.800  d. Rs.720

14. A train travels from Howrah to Burdwan at the rate of 45 Km per hour and returns at the rate of 36 km. per hour. The average rate of running of the train for the whole journey was

a. 35 km./hr b. 50 km/hr
c. 55 km/hr d. 40 km/hr

15. A sum of Rs.1400 was divided amongst A, B and C, so that ½ of A’s share =1/5 of B’s share=1/3 of C’s share. The money received by c is

a. Rs.420  b. Rs.280
c. Rs.700  d. Rs.980

16. Two trains, 60 meter and 90 meter long, run at the rates of 48 km. and 60 km. per hour respectively on parallel rails in opposite directions. Time required by a person sitting in the first train to cross the other train is

a. 3 sec.  b. 2 sec.
c. 4 sec.  d. 2.5 sec.

17. A quantity of rice suffices a family for 30 days it 5 kg. of rice are given away to charity every day; but only 25 days it 8 kg. of rice are given in charity daily. The total quantity of rice the family had in store was

a. 150 kg.  b. 200 kg.
c. 450 kg.  d. 400 kg.

18. A can do a piece of work in 9 days and B in 18 days. They begin together but A goes away 3 days before the work is completed. The time in which the work was finished is

a. 17 days  b. 21 days
c. 5 days  d. 8 days

19. 40 men can do a piece of work in a certain number of days. If only 30 men were employed to do the same work, it would require 6 days more. The time in which 60 men can do the work is

a. 16 days  b. 20 days
c. 24 days  d. 12 days

20. . Two pipes can fill a cistern in 25 and 30 minutes respectively. Both the pipes are opened together, the time when the first pipe must be turned off so that the cistern may be filled in 15 minutes is

a. 10 mins.  b. 12 mins.
c. 15 mins.  d. 12min 30sec

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

Math Set - 8

1. If a=9/20, b=11/15, c=3/4 then the correct inequality is

a. c>b>a  b. c>a>b
c. b>c>a  d. a>b>c

2. After losing 22.5% of his income a man has Rs.1860 left. His income is

a. Rs.2100  b. Rs.2250
c. Rs.2300  d. Rs.2400

3. The average age of 12 men is 34 years. In order that the average age of 13 men is 36 years, the age of the thirteenth man will be

a. 52  b. 54
c. 56  d. 60

4. ¼ when expressed as a percentage of 25/9 becomes

a. 7%  b. 9%
c. 11%  d. 13%

5. The smallest number which may be added to the number 8691 so as to make it a perfect square is

a. 42  b. 140  
c. 145  d. 84

6. The smallest integer by which 1575 must be divided to make the quotient a perfect square is

a. 3   b. 5
c. 7   d. 8

7. By selling goods for Rs.364, I lose 9 percent. To gain 10 percent I should sell it at

a. Rs.400  b. Rs.420
c. Rs.440  d. Rs.450

8. The fourth proportional of 3, 4, 9 is

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

9. The number nearest to 100000 and divisible by 2, 3, 4, 5, 6, 7 is

a. 99930  b. 99960
c. 99976  d. 99996

10. The present age of the father is three times that of his son, 8 years hence the ratio of their ages will be 11:5. The present age of the son is

a. 8 years  b. 12 years
c. 15 years  d. 16 years

11. A man sells an article at a profit of 20 percent on sales. If the cost price be Rs.960 its selling price is

a. Rs.1000  b. Rs.1100
c. Rs.1350  d. Rs.1200

12. A mixture is formed by taking 2 kg. of a powder at Rs.2 per kg., 6 kg. at Rs.3 per kg. and 8 kg. at Rs.4 per kg. The price per kg. of the mixture is

a. Rs.3.37  b. Rs.3
c. Rs.3.50  d. Rs.4

13. 0.005123 when multiplied by 5.38 is

a. 0.02756174 b. 0.2756174
c. 2.756174 d. 27.56174

14. 7.5 % of Rs.4600 is

a. Rs.342  b. Rs.345
c. Rs.347  d. Rs.349

15. A meter-measure is 1 cm. too short. The true length of cloth which apparently measures Y meters is

a. Y m.1 cm. b. Y.Y m.
c. Ym. Ycm. D. None of these

16. 5 men and 3 boys can plough 65 acres in 15 days. The number of days in which 8 men and 5 boys will plaugh 280 acres, one man being able to do twice as much as a boy is

a. 30  b. 40
c. 35  d. 25

17. A merchant buys plots at such a price that by selling it at Rs.4.50 per meter he will gain 12.5% on his outlay. His cost per meter is

a. Rs.4  b. Rs.3.5
c. Rs.3  d. Rs.4.10

18. 8897/10619 when reduced to lowest term is

a. 33/39  b. 141/147
c. 31/37  d. 1/17

19. By selling a picture for Rs.55.20, I lose 8 per cent. The buying price of the picture was

a. Rs.60  b. Rs.64
c. Rs.68  d. Rs.72

20. The number which multiplied by 37 gives the same product as 296 multiplied by 309, is

a. 2072  b. 2272
c. 2472  d. 2572

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

Math Set - 7

1. The length of the square, the area of which is equal to the area of a rectangle of sides 49.28 and 27.72 meters is

a. 36.16 m.  b. 36.56 m.
c. 36.76 m.  d. 36.96 m.

2. The value of square root of 341.1409 is

a. 18.43  b. 18.47
c. 18.63  d. 18.67

3. The sum of money that will amount to Rs.2400 at the rate of 8% simple interest per year in 2.5 years is

a. Rs.1500  b. Rs.1800
c. Rs.2000  d. Rs.2100

4. For an increase of income tax of 3 paisa per rupee the income of a man is reduced by Rs.150. His total income is

a. Rs.4800  b. Rs.4900
c. Rs.5000  d. Rs.5200

5. When a company decreased the price of its scooters by 30%, the sales of scooters increased by 30%. The net effect on total sale is

a. 6% decreased
b. 3% increased
c. 6% increased
d. 9% decreased

6. A bag contains 8 red , 5 white balls, 2 balls are drawn at random. What is the probability that both are white?

a. 2/16  b. 2/89
c. 2/110 d. 5/39

7. The breadth of a rectangular field is 75% of its length. If the perimeter of the field is 1,050 meters, the area of the field is

a. 65,000 sq.m.
b. 62,000 sq.m.
c. 67,000 sq.m.
d. 68,500 sq.m.

8. A sum of money is to be divided among A, B and C in the ratio of 3:7:6. If the difference in the shares of A and B is Rs.2,700. What is the share of C?

a. Rs.4050  b. Rs.4000
c. Rs.4100  d. Rs.4500

9. Dinesh and Ram can independently complete a piece of work in 80 and 120 minutes respectively. If they work together, how much time will they take to complete the work?

a. 24 minutes b. 100 minutes
c. 48 minutes d. 200 minutes

10. were employed to finish a job in 20 days but the men drop off by 5 at every 10th day. In what time the work will be complete?

a. 27 years  b. 23.33 days
c. 28 days  d. 26 days

11. If x men can do a piece of work in 8 says and x+4 men can do the same work in 6 days then x is equal to

a. 10  b. 6
c. 12  d. 24

12. By selling 12 oranges for a rupee, a man lose 20%. How many for a rupee should he sale to gain 20%.

a. 15  b. 10
c. 8  d. 5

13. If 3 men and 5 women can do a piece of work in 8 days and 2 men and 7 children can do the same piece of work in 12 days, how many women can do as much work in a day as 21 children?

a. 10  b. 15
c. 12  d. 7

14. If the area of the adjacent faces of a rectangular block are in the ratio of 2:3:4 and its volume is 900 cm.cb. Then the length of the shortest side is

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

15. If 5 men and 3 children can reap 23 acres of field in 4 days and 3 men and 2 children can reap 7 acres in 2 days, how many children must assist 7 men in order that they may reap 45 acres in 6 days?

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

16. If each edge of a cube is increased by 50%, the percentage increased in the surface area is

a. 50%  b. 75%
c. 100%  d. 125%

17. The length of canvas1.1 m. wide required to build a conical tent of height 14m. and the floor area of 346.5 sq.m. is

a. 65 m.  b. 525 m.
c.  490 m.  d. 860 m.

18. A man takes 5 hours 45 minutes in walking to certain place and riding back on a scooter. He would have gained 2 hour by riding on a scooter both ways. The time he would take to walk both ways is

a. 7 hrs.45 mins
b. 8 hrs. 25 mins.
c. 8 hrs.30 mins.
d. 6 hrs.30 mins.

19. If 20 men complete one third of a work in 20 days, how many more men should be employed to finish the rest of the work in 25 days?

a. 10  b. 12
c. 15  d. 20

20. A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blue and 1 is black?

a. 10/21 b. 2/5
c. 1/6  d. 1/8

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