Correct Answer - Option 1 : 4
Calculation:
132 = 3 × 4 × 11.
3, 4 and 11 are factors of 132, hence if a number is divisible by 3,4 and 11, the number will be divisible by their product 132 also.
Here 3, 4 and 11 are pair-wise co-prime numbers.
If a number is not divisible by 3 or 4 or 11, then it is not divisible by 132.
⇒ 264 is divisible by 3, 4 and 11; so 264 is divisible by 132.
⇒ 396 is divisible by 3, 4 and 11; so 396 is divisible by 132.
⇒ 462 is divisible by 3 and 11 but not divisible by 4; so 462 is not divisible by 132.
⇒ 792 is divisible by 3, 4 and 11; so 792 is divisible by 132.
⇒ 968 is divisible by 4 and 11 but not divisible by 3; so 462 is not divisible by 132.
⇒ 2178 is divisible by 3 and 11 but not divisible by 4; so 462 is not divisible by 132.
⇒ 5184 is divisible by 3 and 4 but not divisible by 11; so 462 is not divisible by 132.
⇒ 6336 is divisible by 3, 4 and 11; so 6336 is divisible by 132.
Only 264, 396, 792 and 6336 are divisible by 132.
∴ 4 numbers are divisible by 132.
