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MDCAT
Logical Reasoning
2024

Logical Reasoning · Logical Reasoning

Work through this past-paper style MCQ, then read the full explanation. Practice more logical reasoning questions on mMCQ with adaptive drills and topic analytics.

Question

Which number is a multiple of its digits?

Options
  • A

    21

  • B

    47

  • C

    52

  • D

    24

  • E

    13

Explanation

The digits of 24 are 2 and 4. We need to check if 24 is divisible by both 2 and 4.

-> 24 / 2 = 12, which means 24 is divisible by 2.

-> 24 / 4 = 6, which means 24 is divisible by 4.

  • Since 24 is divisible by both its digits (2 and 4), it is a multiple of its digits.

This is not correct according to calculations as 21 is not multiple of it's 2.

This is not correct as 47 is not an multiple of its own digits.

52 is not a multiple of its digits (5 and 2) because 52 ÷ (5 * 2) = 52 ÷ 10.0 = 5.2, which is not an integer.

The digits of 24 are 2 and 4. We need to check if 24 is divisible by both 2 and 4.

-> 24 / 2 = 12, which means 24 is divisible by 2.

-> 24 / 4 = 6, which means 24 is divisible by 4.

Since 24 is divisible by both its digits (2 and 4), it is a multiple of its digits.

13 is not a multiple of its digits (1 and 3) because 13 ÷ (1 * 3) = 13 ÷ 3 ≈ 4.33, which is not an integer.

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Tagged under Logical Reasoning · Logical Reasoning · 2024