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# If y is an integer between 2 and 100 and if y is also the square

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If y is an integer between 2 and 100 and if y is also the square  [#permalink]

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Updated on: 26 Mar 2018, 08:01
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64% (01:21) correct 36% (01:30) wrong based on 67 sessions

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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.

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Originally posted by gmatbusters on 25 Mar 2018, 10:21.
Last edited by gmatbusters on 26 Mar 2018, 08:01, edited 1 time in total.
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Re: If y is an integer between 2 and 100 and if y is also the square  [#permalink]

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25 Mar 2018, 10:25
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

Please edit: y is evenly divisible by which number?
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Re: If y is an integer between 2 and 100 and if y is also the square  [#permalink]

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25 Mar 2018, 10:26
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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

Are you sure you correctly transcribed statement 2?

Do you mean y is even?

Cheers,
Brent
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Re: If y is an integer between 2 and 100 and if y is also the square  [#permalink]

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26 Mar 2018, 08:02
i regret for the typo in the question, the Question has been revised.
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Re: If y is an integer between 2 and 100 and if y is also the square  [#permalink]

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26 Mar 2018, 08:18
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.

Statement 1: is irrelevant. as y is a square so it will definitely not be a prime. y could be any square between 2 & 100. Insufficient

Statement 2: y could be 9,36,81. Insufficient

Combining 1 & 2: y could be 9, 36, 81. Insufficient

Option E
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Re: If y is an integer between 2 and 100 and if y is also the square  [#permalink]

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26 Mar 2018, 08:25
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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 81
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: y is evenly divisible by 3
The possible y-values are: 9, 36 and 81
Since 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 81
Statement 2 tells us that the possible y-values are: 9, 36 and 81
As you can see, there are several values of y that satisfy BOTH statements.
In fact, y can equal 9, 36 or 81
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Brent
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Re: If y is an integer between 2 and 100 and if y is also the square  [#permalink]

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31 Mar 2018, 06:48
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.

Valid numbers are : 9, 16, 25, 36, 49, 64, 81

St 1: No number in the list is prime (Insufficient)

St 2: 9, 36, 81 are divisible by 3 (Insufficient)

Combining both is not sufficient too.

(E)
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Re: If y is an integer between 2 and 100 and if y is also the square   [#permalink] 31 Mar 2018, 06:48
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# If y is an integer between 2 and 100 and if y is also the square

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