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# Discussion

How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336

• A.4
• B.5
• C.6
• D.7

$$132 = 4 \times 3 \times 11$$
So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.
$$264 \Rightarrow 11,3,4$$
$$396 \Rightarrow 11,3,4$$
$$462 \Rightarrow 11,3$$
$$792 \Rightarrow 11,3,4$$
$$968 \Rightarrow 11,4$$
$$2178 \Rightarrow 11,3$$
$$5184 \Rightarrow 3,4$$
$$6336 \Rightarrow 11,3,4$$
Therefore the following numbers are divisible by 132 : 264, 396, 792 and 6336.
Required number of number = 4.

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