Q.

The number of even proper divisors of 1008 is

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a

23

b

24

c

22

d

None of these

answer is A.

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Detailed Solution

1008=24×32×7   ∴ the required number of even proper divisors = total number of selections of at least one 2 and any number of 3’s or 7’s =4×(2+1)×(1+1)−1=23.
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