CLAT - Mathematical Ability - HCF and LCM of Numbers

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Question - 1

The HCF of 1134, 1344 and 1512 is

  • A 24
  • B 42
  • C 44
  • D 64

Question - 2

Find the greatest number that will divide each of 90, 108 and 126 without leaving a remainder.

  • A 18
  • B 17
  • C 19
  • D 20

Question - 3

The LCM of 24,36 and 40 is

  • A 120
  • B 240
  • C 360
  • D 480

Question - 4

Find the greatest number of three digits that can be exactly divided by 75, 45 and 60.

  • A 10180
  • B 10000
  • C 10280
  • D 10080

Question - 5

The LCM of (23 x 3 X 52 x 7), (24 X 32 X 5 X 72 X 11) and (2 x 33 x 54) is

  • A (24 x 33 x54)
  • B (2x3x5x7x11)
  • C (24 x 33 X 54 X 72x 11)
  • D none of these

Question - 6

Find the greatest number of six digits which is exactly divisible by 27, 45, 60, 72 and 96.

  • A 900920
  • B 997921
  • C 997920
  • D 996000

Question - 7

The HCF of 210 and 55 in the form of 210 x 5 + 55y. Then y =

  • A 19
  • B -19
  • C 18
  • D 29

Question - 8

The largest number which divides 245 and 1029 leaving remainder 5 is

  • A 14
  • B 18
  • C 12
  • D 16

Question - 9

The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300, then the two numbers are:

  • A 273,363
  • B 273,359
  • C 273,361
  • D 273,357

Question - 10

The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If one number is 93, then the other is

  • A 128
  • B 124
  • C 134
  • D none of these