KVPY SA Exam 19-Nov-2017 Question Paper

Question : 6 of 80

Marks: +1, -0

Consider the following statements. For any integer n,
I.

n^2 + 3

is never divisible by 17.
II.

n^2 + 4

is never divisible by 17.
Then

Solution:

n^2 + 4

is divisible by 17 check at n = 9

∵{n^2+3}/17={n^2+4}/17-1/17

not divisible by 17

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