SurabhiStar wrote:
chamisool wrote:
I don't understand this question. I am getting E.
Can the positive integer p be expressed as the product of two integers, each of which is greater than 1?
Statement (1) states that 31<p<37
My logic was that p can be anything that fits between 31 and 37, so 36
36 = 9 x 4 and each integer is greater than 1, so it is sufficient
36 = -9 x -4 and each integer is not greater than 1, so insufficient.
Statement (2), I agree it is insufficient.
(1) and (2) is still insufficient because 35 (fits statement 2) and 35 can be 7x5 so each integer is greater than 1. 35 can also be -7x-5 so each integer is not greater than 1.
Am I misunderstanding the question?
Hi Bunuel,
The question asks: can p be expressed as a product of two numbers greater than 1?
If I prove that p can be expressed as a product of two numbers which are < 1 and can also be expressed as a product of two numbers > 1 then the statement A) / B) would become insufficient. Right?Now, as quoted above, for statement A), I can express 36= 1*36, -1*-36,-9*-4..... so doesn't it mean that statement A) is insufficient?
If A) is sufficient to answer the question, is it because of the fact that the question asks "Can it be expressed as product of two numbers > 1" instead of "Is P a product of two numbers which are always greater than 1?"
No, the red part is not correct.
The question asks "can p be expressed as the product of two integers, each of which is greater than 1".
If from a statement you get that EACH possible value of p can be expressed as the product of two integers, each of which is greater than 1, then the answer is YES, and the statement is sufficient.
If from a statement you get that NONE of the possible values of p can be expressed as the product of two integers, each of which is greater than 1, then the answer is NO, and the statement is sufficient too.
If from a statement you get that some possible values of p
cannot but other possible values of p
can be expressed as the product of two integers, each of which is greater than 1, then we'd have two answers to the question and the statement wouldn't be sufficient.
Hope it's clear.