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Which of the following number is not divisible by 72 ?

  • A.88848
  • B.88704
  • C.95112
  • D.95142

Answer: D

The number not divisible by 72 is 95142.

Since 72 = 8 × 9 and 8 and 9 have no common factor, a number is divisible by 72 when it is divisible by both 8 (last three digits divisible by 8) and 9 (digit sum divisible by 9).

95142: the last three digits 142 are not divisible by 8, and the digit sum 21 is not divisible by 9, so it fails.

The others pass both tests: 88848 (848 = 8 × 106, digit sum 36), 88704 (704 = 8 × 88, digit sum 27) and 95112 (112 = 8 × 14, digit sum 18).

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