GATE Electrical Engineering (EE) 2018 Solved Paper

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Question : 1 of 65

Marks: +1, -0

For what values of

k

given below is

\;{(k+2)^{2}}/{k-3}

an integer?

$4,8,18$
$4,10,16$
$4,8,28$
$8,26,28$

Solution:

Since

\;{(k+2)^{2}}/{k-3}

must be an integer, we can verify the options.

\;{(4+2)^{2}}/{4-3}=36 ; \;{(8+2)^{2}}/{8-3}=20 ; \;{(28+2)^{2}}/{28-3}=36

So, option (c)

⇒ 4,8,28

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