Quantitative Apitude-H.C.F & L.C.M. of Numbers
Quantitative Apitude-H.C.F & L.C.M. of Numbers
31. the smallest number which when increased by 5 is divisible by each one of 24, 32, 36, and 54, is :
- 869
- 859
- 4320
- 427
32. The least number which when divided by 18, 27 and 36 leaves the remainders 5, 14 and 23 respectively, is
- 95
- 113
- 149
- 77
33. The least number which whend divided by 20, 25, 35 and 40 leaves the remainder 14, 19, 29 and 34 respectively, is :
- 1664
- 1406
- 1404
- 1394
34. The least number which when divided by 5, 6, 7 and 8 leves a remainder 3 but when divided by 9 leaves no remainder, is :
- 1677
- 1683
- 2523
- 3363
35. The least number which when divided by 5, 6, 8, 9 and 12 leaves a remainder 1 in each case, but when divided by 13 leaves no remainder is :
- 361
- 721
- 1801
- 3601
36. An electronic device makes beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 am. the time when they will next make a beep together at the earliest, is :
- 10.30 a.m.
- 10.31 a.m.
- 10.59 a.m.
- 11 a.m.
37. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they to all together ?
- 4
- 10
- 15
- 16
38. The traffic lights at three different road crossings change fter every 48 sec, 72 sec and 108 sec respectively. If they all change simultaneously at 8 : 20 : 00 hours, then they will again change simultaneously at :
- 8 : 27 : 12 hrs
- 8 : 27 ; 24 hrs
- 8 : 27 : 36 hrs
- 8 : 27 : 48
39. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
- 4
- 7
- 9
- 13
40. The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
- 276
- 299
- 322
- 345