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The sum of all natural number 'n' such t...

The sum of all natural number 'n' such that `100 lt n lt 200` and H.C.F. `(91, n) gt 1` is

A

3303

B

3121

C

3203

D

3221

Text Solution

Verified by Experts

The correct Answer is:
B
n is between 100 & 200
HCF `(91,n)gt1`
(Sum of natural no divisible by 7) + (Sum of natural no divisible by 13) – (Sum of no divisible by 91)
`sum_(r=1)^(14)(98+7r)+sum_(r=1)^(8)(91+13r)-(182)`
`1372+735+728+468-(182)=3121`
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