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Home Quantitative Aptitude Number System Question How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336
  1. 5
  2. 6
  3. 7
  4. 4
Explanation

A number is divisible by 132 if it is divisible by 3, 4, and 11 (as 132 = 3 × 4 × 11), given that 3, 4, and 11 are pairwise co-prime.

Solution:

⇒ 264 is divisible by 3, 4, and 11.

⇒ 396 is divisible by 3, 4, and 11.

⇒ 462 is not divisible by 4.

⇒ 792 is divisible by 3, 4, and 11.

⇒ 968 is not divisible by 3.

⇒ 2178 is not divisible by 4.

⇒ 5184 is not divisible by 11.

⇒ 6336 is divisible by 3, 4, and 11.

There are 4 numbers (264, 396, 792, and 6336) that are divisible by 132.

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