ani781 wrote:Can the positive integer p be expressed as the product of two integers, each of which is greater than 1 ?
1) 31<p<37
2) p is odd
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Target question:
Can the positive integer p be expressed as the product of two integers, each of which is greater than 1?
This question is a
great candidate for rephrasing the target question.
If an integer p can be expressed as the product of two integers, each of which is greater than 1, then that integer is a composite number (as opposed to a prime number). So . . . .
Rephrased target question:
Is integer p a composite number?
Aside: We have a free video with tips on rephrasing the target question:
https://www.gmatprepnow.com/module/gmat- ... cy?id=1100
Statement 1: 31 < p < 37
There are 5 several values of p that meet this condition. Let's check them all.
p=32, which means
p is a composite number
p=33, which means
p is a composite number
p=34, which means
p is a composite number
p=35, which means
p is a composite number
p=36, which means
p is a composite number
Since the answer to the
target question is the same for every possible value of p, statement 1 is SUFFICIENT
Statement 2: p is odd
There are several possible values of p that meet this condition. Here are two:
Case a: p = 3 in which case
p is not a composite number
Case b: p = 9 in which case
p is a composite number
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Answer =
A
Cheers,
Brent
