Home Quantitative Aptitude Number System Question How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336
Answer: 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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