1. | The sum of two numbers is 36 and their H.C.F. is 4. How many pairs of such numbers are possible ? | |
2. | The ratio of two numbers is 4 : 5 and their H.C.F. is 8. Then their L.C.M. is ? | |
3. | Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively ? | |
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 ? | |
5. | The smallest perfect square divisible by each of 6, 12 and 18 is ? | |
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 ? | |
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 ? | |
8. | The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is ? | |
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 ? | |
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 ? | |