CAT Quantitative Ability Questions | CAT Number System questions
CAT/1995
Question . 161
For the product n(n+1)(2n+1), n ∈ N, which one of the following is not necessarily true?
A : It is always evenB : Divisible by 3.C : Always divisible by the sum of the square of first n natural numbersD : Never divisible by 237.
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Method of solving this CAT Quantitative Ability Question from Number System question
(d) It is clear that for n = 237 the expression n(n + 1)
(2n + 1) is divisible by 237.
Hence option (d) is not necessarily true.