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Question: The sum of the factor of 8 ! which are odd and are of the form (3m + 2) where m Î N, is...

The sum of the factor of 8 ! which are odd and are of the form (3m + 2) where m Î N, is

A

40

B

8

C

45

D

35

Answer

40

Explanation

Solution

8! = 27. 32 . 5. 7 for odd factors of the form

3m + 2 we can take combination of 5 & 7. The required factors are 5 & 35

sum = 40