Math Set - 3

1. A car travels 120 meters in 6 seconds. The rate in kilometers per hour is-

a. 60		b. 72		
c. 100		d. 82

2. The number 24*83 is divisible by 11. The * marked digit is

a. 8			b. 4
c. 7			d. 6

3. 8^th January, 1988 was Friday. 9^th September, 1988 was

a. Thursday	b. Friday
c. Sunday		d. Tuesday

4. If the length of a rectangular plot is increased by 5% and the breadth is decreased by 10% then its area is

a. decreased by 5.5%
b. decreased by 9.45%
c. increased by 5.5%
d. increased by 9.45%

5. In a division, a student took 23 as devisor instead of 32. His answer was 64. The correct answer is

a. 36		b. 46
c. 50		d. 56

6. If 16 out of 40 students fail, the percentage of pass is

a. 40		b. 60
c. 25		d. None of these

7. The largest number which has to be subtracted from 390 to make the remainder divisible by 2, 4, 5, 6 is

a. 360		b. 330
c. 270		d. 300

8. . 2 men and 3 boys can finish a work in 6 days, but 3 men and 2 boys can finish the same work in 4 days. A man and a boy can finish the work in

a. 10 days		b. 12 days
c. 14 days		d. 18 days

9. A buys a pen at Rs.15 and sells it to B at a profit of 20% and B sells it at a loss of 10%. The loss of B is

a. Rs.1.80		b. Rs.1.50
c. Rs.3.00		d. Rs.2.50

10. A dealer allows 10% discount on the list price of an article and yet makes a profit of 25% on the article. If the listed price is Rs.50, then the cost price of the dealer on that article was

a. Rs.25		b. Rs.30
c. Rs.36		d. rs.40

11. If a quantity of rice serve 100 men for 15 weeks, the same quantity will serve 250 men for

a. 6 weeks	b. 10 weeks
c. 15 weeks	d. 37.5 weeks

12. A and B can do a piece of work in 30 days, B and C in 24 days and C and A in 20 days. If they all work together, the work will be finished in

a. 74 days		b. 37 days
c. 8 days		d. 16 days

13. If a train 150 meters long passes a telegraph post in 12 seconds, then the time in which it will pass a bridge 250 meters long is

a. 25 secs		b. 30 secs
c. 32 secs		d. 35 secs

14. Each side of a rectangular field is increased by 20%. The area of the field is increased by

a. 40%		b. 35%
c. 44%		d. 36%

15. The average of 30 boys in a class was 10 years. 4 new boys were admitted, the class average was then 9 years 6 months. The average age of 4 newly admitted boys was

a. 8 years		b. 6 years
c. 5 years 9 months
d. 7 years 6 months

16. The square of a number exceeds double the number by 360. If the number is positive, it is

a. 14		b. 18
c. 20		d. 25

17. The radius of a bicycle wheel is 84 cm. The number of times it will revolve in going through 1.056 km. is

a. 150		b. 175
c. 180		d. 200

18. A reduction of 20% in the price of flour would enable a purchaser to get 4 kg. more for Rs.100. The reduced price per kg. is then

a. Rs.4		b. Rs.5
c. Rs.8		d. Rs.10

19. I spent 20% of my money and then 25% of the remainder. I have still Rs.12 left. I had at first

a. Rs.15		b. Rs.20
c. Rs.16		d. Rs.24

20. By selling an article for Rs.60, a man gains 20%. If the same article were sold for Rs.55, there would have been

a. a gain of 5%
b. a loss of 5%
c. a loss of 10%
d. a gain of 10%

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

Math Set - 2

1. At present the father is 4 times as old as the son. 5 years hence the father will be 3 times as old as the son. The father’s present age is

a. 32 years		b. 40 years
c. 44 years		d. 30 years

2. A man walks a certain distance and rides back in 3 hr. 45 mts. He could ride both ways in 2.5 hrs. To walk both ways, the man would take

a. 2.5 hrs.		b. 5 hrs.
c. 5.5 hrs.		d. 4 hrs.

3. The difference of simple interests on a certain sum lent at 12% per annum for 4 years and 7 years is Rs.216. The sum invested is

a. Rs.500		b. Rs.550
c. Rs.600		d. Rs.675

4. Annual incomes of A and B are in the ratio 4:3 and their annual expenses are in the ratio 3:2. If each of them saves Rs.600 at the end of the year, then the annual income of A is

a. Rs.1800		b. Rs2000
c. Rs.2200		d. Rs.2400

5. Walking at 4 km. per hour a man reaches his office 5 minutes late but if he walks at 5 km. per hour he reaches 2.5 minutes early. The distance of his office is

a. 2 km.		b. 2.5 km.
c. 5.2 km.		d. 3.5 km.

6. The salaries of A and B are respectively Rs.900 and Rs.600. A spends 90% of the salary and B 80% for family expenses. Savings of A and those of B are in the ratio of

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

7. If a train 150 meters long passes a telegraph post in 12 seconds then the speed of the train is

a. 35 km./hr.	b. 40 km./hr.
c. 45 km./hr.	d. 60 km./hr.

8. A rectangular plot of length 20 cm. breadth 15 cm. and height 10 cm. is half filled with water. 300 cu cm. more water is added to it. The increase in the level of water is

a. 1 cm.		b. 1.2 cm
c. 2 cm.		d. 3 cm.

9. Two numbers have their H.C.F. as 17 and L.C.M. as 340. The ratio of the two numbers is 5:4. The greater number is

a. 10		b. 14
c. 20		d. None of these

10. If 6 men or 8 boys can do a piece of work in 18 days, 3 men and 5 boys can do the same work in

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

11. A reduction of 12.5% in the price of an article enables a man to purchase 4 more for a rupee. The number of article that he can purchase at the reduced price is

a. 25		b. 30
c. 32		d. 40

12. A man rows down a river 18 km. in 4 hours with the stream and returns in 12 hours. The rate at which the stream flows is then

a. 3km./hr	b. 2.5 km./hr.
c. 2 km./hr.	d. 1.5 km./hr.

13. A sum of money lent out at simple interest amounts to Rs.560 in 3 years and to Rs.600 in 5 years. The rate of interest is

a. 5%		b. 20%
c. 15%		d. None of these

14. The proportion in which a 30% solution of a substance should be added to a 56% solution to give a resulting 40% solution is

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

15. A tap y can fill a cistern in 10 hours. A second tap x can fill the cistern in ¼ th of the time taken by y. Both the taps are opened together. The cistern is filled up in

a. 8 hrs. 		b. 2 hrs.
c. 4 hrs.		d. 5.5 hrs.

16. The least number by which 504 must be multiplied to make it divisible by 189 is

a. 2			b. 3
c. 8			d. 9

17. The smallest number which, when divided by 10 leaves a remainder 9, when divided by 12 leaves a remainder 11 and when divided by 14 leaves a remainder 13 is

a. 419		b. 369
c. 169		d. 421

18. The product of 9999 and 999 equals-

a. 9998001		b. 9990801
c. 9990081		d. 9989001. 

19. 1/3 of a pole is in mud, ¼ in water and 3.5 meters is above water. The length of the pole is

a. 6.3 meters	b. 4.2 meters
c. 8.4 meters	d. 11.12 meters

20. 429 mangoes and 715 oranges are to be equally divided among few children so that each child gets the maximum number of fruits. The required number of children is

a. 143		b. 13
c. 52		d. 11

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

Math Set - 1

1. 1. The least number by which 168 must be multiplied to make it divisible by 126 is

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

2. The smallest number which when divided by 24 leaves a remainder 23, but when divided by 27 leaves a remainder 26, is

a. 95		b. 107
c. 205		d. 215

3. At 1 P.M the angle between the hour and the minute hands of a clock is

a. 5 degree	b. 10 degree
c. 30 degree	d. 60 degree

4. A vessel full of water weighs 4 kg. When half full of water the vessel weighs 2.5 kgs. The weighs of the empty vessel is

a. 1 kg	        b. 1.5 kg
c. 3.25 kg	d. 3 kg

5. A man cycles 4.2 km. in 17.5 minutes. His speed in meter per second is

a. 8			b. 5.5
c. 4			d. 6

6. The number 862*4 is divisible by 11. The * marked digit is

a. 2			b. 4
c. 8			d. 5

7. 1^st March,1987 was Sunday; 1st November, 1987 was

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

8. A and B are two different alloys of gold and copper prepared by mixing the metals in the proportion 7:2 and 7:11 respectively. If equal quantities of alloys are melted to form a third alloy C, then the proportion of gold and copper is

a. 2:11		b. 1:2
c. 5:7		d. 7:5

9. A number on being divided by 5, 6 successively leaves remainder 3 and 4 respectively. The same number on being divided by 30 leaves the remainder

a. 29		b. 19
c. 26		d. None of these

10. . If 1/3 of the journey has been done by train, 2/3 of the rest by bus and the remaining 20 km. by boat, the total journey to be covered is

a. 96 km.		b. 90 km.
c. 84 km.		d. 120 km.

11. In a question paper in Arithmetic containing 50 questions, a student answers question numbered 1, 3, 5, 7,…… The total number of questions answered by the student is

a. 25		b. 24
c. 23		d. 26

12. The least number nearest to 388 divisible by 2, 4, 5 and 6 is

a. 360		b. 420
c. 390		d. 340

13. If 1^st January 1881 was Monday, the total number of Mondays in that year was

a. 51		b. 52
c. 53		d. 54

14. A can do a piece of work in 15 days; with the help of B he can finish the work in 10 days. B alone can do the piece of work in

a. 25 days		b. 40 days
c. 30 days		d. 20 days

15. Each side of a rectangular field is diminished by 20%. The area of the field is diminished by

a. 40%		b. 36%
c. 44%		d. 32%

16. A liter of milk is diluted by adding 20% water. The percentage of milk in the mixture is

a. 80%		b. 82.75%
c. 75%		d. 83.33%

17. A dealer enhances the price of an article by 10% ; but allows 10% commission at the time of selling. The article costs Rs.100 originally. The man

a. does not lose or gain
b. gain Re.1	c. loses Re.1		
d. gains Rs.2

18. 30% of A’s money equals to 7.5% of B’s money. If B has Rs.3000 then A has

a. Rs.750		b. Rs.1250
c. Rs.1500		d. Rs.1750

19. The length of a straight ruler is 1.25 cm. Its length is chosen as 1.3 cm. The percentage error is

a. 4%		b. 5%
c. 2%		d. 4.5%

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

a. Rs.60		b. Rs.40
c. Rs.50		d. Rs.55

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