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)