| 1. | Find the L.C.M. of 36, 48, 72 and 108. |
| a. | | 432 |
| b. | | 342 |
| c. | | 144 |
| d. | | 288
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| 2. | Find the greatest number which on dividing 277, 757 and 3307 leaves the same remainder 7 in each case. |
| a. | | 30 |
| b. | | 15 |
| c. | | 60 |
| d. | | 25
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| 3. | The L.C.M. of two number is 252 and their ratio is 6:7. Find the numbers. |
| a. | | 32, 49 |
| b. | | 16, 25 |
| c. | | 36, 42 |
| d. | | 54, 63
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| 4. | Find the greatest number that will divide 63, 45 and 69 so as to leave the same remainder. |
| a. | | 6 |
| b. | | 9 |
| c. | | 8 |
| d. | | 10
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| 5. | A room is 2.47m long and 2.09m broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for floor. |
| a. | | 143 |
| b. | | 361 |
| c. | | 142 |
| d. | | 165
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| 6. | Find the least perfect square number whcih is divisible by 2,3,4,5,6. |
| a. | | 3600 |
| b. | | 900 |
| c. | | 2500 |
| d. | | 1600
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| 7. | Find the least five digit number which on divided by 12, 18, 21, and 28 leaves the same remainder. |
| a. | | 11019 |
| b. | | 12089 |
| c. | | 10119 |
| d. | | 10059
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| 8. | Which smallest number must be added to 605329 so that it becomes divisible by 9? |
| a. | | 3 |
| b. | | 5 |
| c. | | 2 |
| d. | | 7
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| 9. | Find the greatest number of four digits which is exactly divisible by each of 12, 18, 40 and 45. |
| a. | | 9550 |
| b. | | 9720 |
| c. | | 8500 |
| d. | | 8650
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| 10. | Find the L.C.M. of 6/7, 12/13, 7/15. |
| a. | | 84 |
| b. | | 1/84 |
| c. | | 13 |
| d. | | 1/13
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| 11. | Find the least number which is exactly divisible by18, 15, 25 and 30. |
| a. | | 450 |
| b. | | 900 |
| c. | | 550 |
| d. | | 750
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| 12. | The sum and the differences of the L.C.M. and the H.C.F. of two numbers are 312 and 264, respectively. Find the numbers if their sum is 168. |
| a. | | 108, 84 |
| b. | | 92, 84 |
| c. | | 72, 84 |
| d. | | 96, 72
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| 13. | find the least number when divided by 6,15 and 18 leaves a remainder 5 in each case |
| a. | | 512 |
| b. | | 411 |
| c. | | 11123 |
| d. | | 112
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| 14. | The L.C.M. of two numbers is 60. The numbers are in the ratio 4:5. Then HCF of the number is: |
| a. | | 2 |
| b. | | 3 |
| c. | | 4 |
| d. | | 5
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