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If 1 leq k leq 25, how many prime number...

If `1 leq k leq 25`, how many prime numbers are there which are of the form `6k + 1?`

A

15

B

16

C

17

D

18

Text Solution

Verified by Experts

The correct Answer is:
B
(i) Write all the prime numbers, which are less than or equal to 151.
(ii) Multiply in the equation with 6.
i.e., `6 k le 150`.
`rArr 7 le 6k+1le 151`.
Find the prime numbers from 7 to 151.
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