GMATPrep Question - p expressed as the product of two integers

[ajayav]

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

I shall post the OA shortly.


If there is another thread that asks the same question, please post the link.

Thanks in advance.

[DMoney]

A?

Statement 1- 32-36 can all be expressed as the product of 2 integers greater than 1... Suff.

Statement 2-Odd integers 5 & 7 cannot be expressed as the product of 2 integers both greater than 1, whereas 9 & 15 can.. Ins.

[dipblue03]

IMO A.

A) 32,33,34,35 and 36 are not prime numbers and have multiple factors beside 1 and the perticular number

B) except 2, all the prime numbers are odd and they have only 2 factors, 1 and n.

[cesar82]

A: because there r no prime numbers in that range
(2) is insuff because there are many non-prime odd nos!

[mthawani]

Originally Posted by ajayav

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

I shall post the OA shortly.


If there is another thread that asks the same question, please post the link.

Thanks in advance.

1) each of 32 - 36 can be expressed as a product of two integers greater than 1. This tells us that all possbile values of P can be expressed as a product. by itself, it doesnt tell us what P is.Insuff
2) by itself, this statement is insuff
3) combining the two statements, P is either 35 or 33, both of which can be expressed as a product. so again,in suff
so the answer is that both statements together are insufficient.

[gmat_t1]

agree with A

[ionno]

Originally Posted by mthawani

1) each of 32 - 36 can be expressed as a product of two integers greater than 1. This tells us that all possbile values of P can be expressed as a product. by itself, it doesnt tell us what P is.Insuff
2) by itself, this statement is insuff
3) combining the two statements, P is either 35 or 33, both of which can be expressed as a product. so again,in suff
so the answer is that both statements together are insufficient.

You don't need to know what "P" is, you just need to know if it "can" happen like the question asked.

It "CAN" happen between 33-36.

The second statement, P is odd, will contradict the question. Therfore assume the question is modified, can the "negative" integer P have 2 products greater than 1 ? No.

How about assuming "P" is negative is combined with A. Can 33, 35 have two products expressed as integers greater than 1 ? No

The answer is A. Saying Greater than 1 removes Prime number availability.

[hawk007]

Imo A

[GameAks]

It is A .