H.C.F & L.C.M. of Numbers Questions and Answers

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Q31
the smallest number which when increased by 5 is divisible by each one of 24, 32, 36, and 54, is :
  • A 869
  • B 859
  • C 4320
  • D 427
Answer: Option B
Q32
The least number which when divided by 18, 27 and 36 leaves the remainders 5, 14 and 23 respectively, is
  • A 95
  • B 113
  • C 149
  • D 77
Answer: Option A
Q33
The least number which whend divided by 20, 25, 35 and 40 leaves the remainder 14, 19, 29 and 34 respectively, is :
  • A 1664
  • B 1406
  • C 1404
  • D 1394
Answer: Option D
Q34
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 :
  • A 1677
  • B 1683
  • C 2523
  • D 3363
Answer: Option B
Q35
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 :
  • A 361
  • B 721
  • C 1801
  • D 3601
Answer: Option D
Q36
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 :
  • A 10.30 a.m.
  • B 10.31 a.m.
  • C 10.59 a.m.
  • D 11 a.m.
Answer: Option B
Q37
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 ?
  • A 4
  • B 10
  • C 15
  • D 16
Answer: Option D
Q38
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 :
  • A 8 : 27 : 12 hrs
  • B 8 : 27 ; 24 hrs
  • C 8 : 27 : 36 hrs
  • D 8 : 27 : 48
Answer: Option A
Q39
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
  • A 4
  • B 7
  • C 9
  • D 13
Answer: Option A
Q40
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:
  • A 276
  • B 299
  • C 322
  • D 345
Answer: Option C
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