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Three natural numbers in AP are removed ...

Three natural numbers in AP are removed from first 21 natural numbers. Mean of remaining numbers is 11. The sum of all common difference of all such possible increasing AP is.

A

36

B

45

C

55

D

67

Text Solution

Verified by Experts

The correct Answer is:
C
`d = 1 " "10, 11, 12`
`d = 2 " "9, 11, 13`
`d = 3 " "8, 11, 14`
`d = 10 " "1, 11, 21`
`1+2+3….10 = 55`
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