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Question

Let N = 22×33×74
How many factors of number N are in the form 4k + 1, (kϵN)

A
9
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B
13
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C
11
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D
12
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Solution

The correct option is B 9
For number of form 4K+1 it must be of form 3b×7c with b+c as even.
Way of choosing b and c =4 and 5 each so 20.
Out of these 20, only 9 shall be even.
Hence the answer is 9.

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