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Updated on: 26 Mar 2018, 08:01
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.
Last edited by GMATBusters on 26 Mar 2018, 08:01, edited 1 time in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:26) correct
31%
(01:33)
wrong
based on 89
sessions
History
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Time
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Not Attempted Yet
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.
(1) y is not a prime number.
(2) y is evenly divisible by 3.
26 Mar 2018, 08:18
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gmatbusters
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
26 Mar 2018, 08:25
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gmatbusters
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
Cheers,
Brent
