gmatbusters 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.

Target question: What is the value of y? Given: y is an integer between 2 and 100 and if y is also the square of an integer This is very useful information. It narrows the possible values of y down to just a few.

The possible values of y are:

4, 9, 16, 25, 36, 49, 64 and 81 Statement 1: y is not a prime number. This doesn't help at all.

The possible y-values are:

4, 9, 16, 25, 36, 49, 64 and 81Since we cannot answer the

target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: y is evenly divisible by 3The possible y-values are:

9, 36 and 81Since we cannot answer the

target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined Statement 1 tells us that the possible values of y are:

4, 9, 16, 25, 36, 49, 64 and 81Statement 2 tells us that the possible y-values are:

9, 36 and 81As you can see, there are several values of y that satisfy BOTH statements.

In fact,

y can equal 9, 36 or 81Since we cannot answer the

target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,

Brent

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Brent Hanneson – Founder of gmatprepnow.com