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The number of divisors of the form (4n+2...

The number of divisors of the form `(4n+2)` of the integer 240 is

A

4

B

8

C

10

D

3

Text Solution

Verified by Experts

We have,
`4m+2and240=2^(4)xx3xx5`
Therefore, in any divisor of the form 4m+2, number 2 must occur exactly once. Hence, the number of divisors of the form 4m+2 is
`1xx(1+1)(1+1)=4`
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OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Chapter Test
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