| Coverage : The GMAT Practice Test - Math - L.C.M and H.C.F has been designed to test the important concepts related to l.c.m and h.c.f. The test covers important topics like finding l.c.m or h.c.f of numbers, finding prime numbers, computing the smallest and greatest numbers that are divisible by some numbers and so forth. |
| 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 H.C.F. of 120, 140, 180 and 420. |
| a. | | 15 |
| b. | | 20 |
| c. | | 25 |
| d. | | 30
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| 3. | The H.C.F and L.C.M. of any two numbers are 2079 and 27 respectively. If one of the two number is 189, find the other number. |
| a. | | 309 |
| b. | | 297 |
| c. | | 180 |
| d. | | 327
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| 4. | Find the greatest number that will exactly divide 400 and 640. |
| a. | | 40 |
| b. | | 80 |
| c. | | 20 |
| d. | | 100
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| 5. | Find the greatest number that will divide 296, 492 and 1246 leaving remainders 8, 12 and 22 respectively |
| a. | | 12 |
| b. | | 36 |
| c. | | 24 |
| d. | | 48
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| 6. | What is the smallest number which is exactly divisible by 24, 12, 60 and 56? |
| a. | | 420 |
| b. | | 840 |
| c. | | 1200 |
| d. | | 780
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| 7. | Find the least digit number which when divided by 72, 96, and 128 leaves the remainder 50, 74 and 106 respectively. |
| a. | | 1130 |
| b. | | 1152 |
| c. | | 1080 |
| d. | | 1522
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| 8. | Find the least number which when divided by 36, 48 and 54 which will leaves the same remainder 7. |
| a. | | 436 |
| b. | | 432 |
| c. | | 437 |
| d. | | 439
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| 9. | Find the greatest number which will divide 515 and 11667 so as to leave the remainder 5 in each case. |
| a. | | 51 |
| b. | | 34 |
| c. | | 39 |
| d. | | 65
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| 10. | Find the greatest number which on dividing 304, 554 and 854 leaves equal remainder. |
| a. | | 35 |
| b. | | 65 |
| c. | | 50 |
| d. | | 60
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| 11. | 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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| 12. | Which of the following is a pair of co-primes? |
| a. | | (32,52) |
| b. | | (16,28) |
| c. | | (18,35) |
| d. | | (21,42)
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| 13. | Find the L.C.M. of 9/10, 12/25, 18/35, 21/40. |
| a. | | 5/252 |
| b. | | 3/1400 |
| c. | | 252/5 |
| d. | | 1400/3
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| 14. | Find the L.C.M. of 4.5, 1.8, and 6.3. |
| a. | | 630 |
| b. | | 6.30 |
| c. | | 63.0 |
| d. | | 0.630
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| 15. | In a school, distribute the 3003 pens and 2730 copies among the maximum number of students in such a way that each student get the same number of pens and copies: |
| a. | | 91 |
| b. | | 182 |
| c. | | 143 |
| d. | | 173
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| 16. | The H.C.F. of two numbers is 20 and L.C.M. is 23100. If one number is 700, find the other? |
| a. | | 520 |
| b. | | 660 |
| c. | | 740 |
| d. | | 550
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| 17. | 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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| 18. | The L.C.M. of two number is 420 and their ratio is 5:7. Find the sum of two numbers. |
| a. | | 115 |
| b. | | 126 |
| c. | | 144 |
| d. | | 162
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| 19. | The H.C.F. of two numbers is 210 and their ratio is 15:22. Find the numbers? |
| a. | | 3150, 4620 |
| b. | | 2250, 3890 |
| c. | | 1820, 2600 |
| d. | | 4500, 2150
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| 20. | 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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| 21. | The traffics lights at three different road crossings change after every 24 sec., 18sec., and 27sec., respectively. If all they change simaltineousaly at 4:10:00 hrs; then they will change after simaltineousaly at; |
| a. | | 7:36:00hrs. |
| b. | | 4:36:00hrs. |
| c. | | 4:36:10hrs. |
| d. | | 5:00:16hrs.
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| 22. | A wholesale sugar delar has 780kilogram, 1650kilogram and 510kilogram sugar of three different qualities. He has to pack it all into boxes of equal size without mixing. Find the capacity of the largest possible box. |
| a. | | 15 |
| b. | | 30 |
| c. | | 25 |
| d. | | 12
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| 23. | 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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| 24. | 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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| 25. | There are three iron pipes length of 77m, 91m and 119m have to be divided into pieces of same length. What is the greatest possible length of each piece? |
| a. | | 11m |
| b. | | 13m |
| c. | | 17m |
| d. | | 7m
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| 26. | 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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| 27. | The H.C.F and L.C.M. of any two numbers are 2040 and 170 respectively. If one of the two number is 510, find the other number. |
| a. | | 255 |
| b. | | 340 |
| c. | | 680 |
| d. | | 260
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| 28. | Find the greatest number that will exactly divide 1215 and 2025. |
| a. | | 360 |
| b. | | 405 |
| c. | | 375 |
| d. | | 480
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| 29. | Find the greatest number that will divide 378, 330 and 882 leaving remainders 3, 5 and 7 respectively. |
| a. | | 125 |
| b. | | 220 |
| c. | | 300 |
| d. | | 275
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| 30. | What is the smallest number which is exactly divisible by 18, 54, 90 and 189? |
| a. | | 3560 |
| b. | | 3780 |
| c. | | 4200 |
| d. | | 4520
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| 31. | Find the least digit number which when divided by 36, 162, and 729 leaves the same remainder 5. |
| a. | | 2916 |
| b. | | 2920 |
| c. | | 2522 |
| d. | | 2921
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| 32. | Which smallest number must be added to 9373 so that it exactly divisible by 4? |
| a. | | 3 |
| b. | | 2 |
| c. | | 5 |
| d. | | 7
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| 33. | 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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| 34. | Find the least five digits which is exactly divisible by 32, 36, 60, 90 and 144. |
| a. | | 10200 |
| b. | | 10080 |
| c. | | 11250 |
| d. | | 13500
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| 35. | Find the least number which on adding 7 is exactly divisible by each of 15, 35 and 48. |
| a. | | 1663 |
| b. | | 1673 |
| c. | | 2093 |
| d. | | 1385
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| 36. | 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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| 37. | Find the greatest number which will divide 400, 435 and 541 leaving remainder 9, 10 and 14 respectively. |
| a. | | 16 |
| b. | | 15 |
| c. | | 13 |
| d. | | 17
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| 38. | Which of the following pairs of numbers is not co-prime? |
| a. | | 15, 98 |
| b. | | 198, 429 |
| c. | | 847, 2160
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| 39. | If the product of two numbers is 84942 and H.C.F. is 33, find their L.C.M.? |
| a. | | 2574 |
| b. | | 2250 |
| c. | | 3600 |
| d. | | 3450
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| 40. | The product of H.C.F. and L.C.M. of two numbers is 9072. If one of the numbers is 72, find the other number? |
| a. | | 105 |
| b. | | 112 |
| c. | | 126 |
| d. | | 165
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| 41. | The H.C.F. and L.C.M. of two numbers are 12 and 5040 respectively. If one of the numbers is 144, find the other number? |
| a. | | 420 |
| b. | | 425 |
| c. | | 465 |
| d. | | 412
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| 42. | The L.C.M. of two numbers is 45 times to their H.C.F. If one of the numbers is 125 and sum of L.C.M. and H.C.F. is 1150, find the other number? |
| a. | | 215 |
| b. | | 220 |
| c. | | 225 |
| d. | | 235
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| 43. | Six bells tolling at the interval of 2, 4, 6, 8, 10, and 12 seconds respectively. In 30 minutes how many times they toll? |
| a. | | 4 |
| b. | | 10 |
| c. | | 15 |
| d. | | 16
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| 44. | 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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| 45. | The H.C.F. of two numbers of 3 digits is 310 and their L.C.M. is 1860. Find the numbers? |
| a. | | 310, 1860 |
| b. | | 620, 930 |
| c. | | 620, 310 |
| d. | | 930, 310
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| 46. | Find the least number which is exactly divisible by 26, 45, 60 and 80. |
| a. | | 1440 |
| b. | | 850 |
| c. | | 720 |
| d. | | 900
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| 47. | 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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| 48. | 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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