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Two consecutive number p,p + 1 are removed from natural numbers. 1,2,3, 4……….., `n-1,` n such that arithmetic mean of these number reduces by 1, then (n-p) is equal to.A. `1`B. `2`C. `3`D. `4` |
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Answer» Correct Answer - A `A.M`. of `1,2,3,4,…….,n` `((n(n+1))/(2))/(n) = (n+1)/(2)` If `p,p+1` are removed then `A.M.=((n(n+1))/(2)-(2p+1))/(n-2)` ` therefore 1=((n+1)/(2))-((n(n+1)-2(2p+1))/(2.(n-2)))` `implies(n-p)=1` |
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