1. The sum of two numbers is 36 and their H.C.F. is 4. How many pairs of such numbers are possible ?

1

2

3

4

Answer: 3

Explanation:


2. The ratio of two numbers is 4 : 5 and their H.C.F. is 8. Then their L.C.M. is ?

130

140

150

160

Answer: 160

Explanation:


3. Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively ?

18

30

45

60

Answer: 45

Explanation:


4. Three men step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is ?

9630 cm

9360 cm

6930 cm

6950 cm

Answer: 6930 cm

Explanation:


5. The smallest perfect square divisible by each of 6, 12 and 18 is ?

196

144

108

36

Answer: 36

Explanation:


6. Four runners started running simultaneously from a point on a circular track. They took 200 seconds, 300 seconds, 360 seconds and 450 seconds to complete one round. After how much time do they meet at the starting point for the first time ?

1800 seconds

3600 seconds

2400 seconds

4800 seconds

Answer: 1800 seconds

Explanation:


7. What is the least number which when divided by the numbers 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 13 leaves no remainder ?

312

962

1562

1586

Answer: 962

Explanation:


8. The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is ?

76

94

184

364

Answer: 364

Explanation:


9. The smallest number, which when divided by 5, 10, 12 and 15, leaves remainder 2 in each case; but when divided by 7 leaves no remainder, is ?

189

182

175

91

Answer: 182

Explanation:


10. A number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is ?

1539

539

359

1359

Answer: 359

Explanation: