DS - Algebra

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DS - Algebra

by sri_r » Thu Apr 04, 2013 9:06 am
If y is an integer between 2 and 100 and if y is also the square
of an integer, what is the value of y?
(1) y is not a prime number.
(2) y is evenly divisible by 3.

I think the answer is B.

The list of possible values can be 4,9,16,25,36,49,64,81. And out of the 3 nos divisible by 3 only 36 produces a even remainder.

Am I right?
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by Anju@Gurome » Thu Apr 04, 2013 9:21 am
sri_r wrote:... And out of the 3 nos divisible by 3 only 36 produces a even remainder.

Am I right?
I think you wanted to mean 'quotient'.
Anyway, "evenly divisible" simply means divisible, i.e. completely divisible without leaving any remainder. Yes, it is a confusing term. It does not mean the division will result in an even quotient.
sri_r wrote:If y is an integer between 2 and 100 and if y is also the square
of an integer, what is the value of y?
(1) y is not a prime number.
(2) y is evenly divisible by 3.
Possible values of y are : 4, 9, 16, 25, 36, 49, 64, and 81

Statement 1: This is redundant information as y is a square of an integer, we know y cannot be prime.

Not sufficient

Statement 2: y can be 9 or 36 or 81.

Not sufficient

1 & 2 Together: No new information.

Not sufficient

The correct answer is E.
Anju Agarwal
Quant Expert, Gurome

Backup Methods : General guide on plugging, estimation etc.
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by sri_r » Thu Apr 04, 2013 9:23 am
Thanks for clearing the confusion.