Question : How many of the following numbers are divisible by 132?
660, 754, 924, 1452, 1526, 1980, 2045, and 2170
Option 1: 3
Option 2: 6
Option 3: 5
Option 4: 4
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Correct Answer: 4
Solution :
We can write 132 = 11$\times$12
So, if any number is divisible by 11 and 12, it can also be divisible by 132.
660 is divisible by 11 and 12, so 660 is divisible by 132
754 is not divisible by 11 and 12, so 754 is not divisible by 132.
924 is divisible by 11 and 12, so 924 is divisible by 132.
1452 is divisible by 11 and 12, so 1452 is divisible by 132.
1526 is not divisible by 11 or 12, so 1526 is not divisible by 132.
1980 is divisible by 11 and 12, so 1980 is divisible by 132.
2045 is not divisible by 11 or 12, so 2045 is not divisible by 132.
2170 is not divisible by 11 or 12, so 2170 is not divisible by 132.
$\therefore$ 4 numbers are divisible by 132.
Hence, the correct answer is 4.
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