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Don't for get what the question asks: "Can the positive integer p be expressed..."

The answer for this is yes, it can be. P = 32 = 8 * 4 p = 33 = 3*11 p = 34 = 2*17 p = 35 = 5 * 7 p = 36 = 3 * 12

ever integer that p could represent can be expressed as the product of two integers.

#1 is sufficient.

#2 is sufficient. If p is odd, then it can be 33 or 35 or 3 or 7 (remember take each statement alone, so 31 < p < 37 isn't relevant information with #2). Each of these can still be expressed as the product of two integers. So #2 is sufficient as well. Because at least 1 is sufficient alone, we don't have to try them together.

x2suresh wrote:

klb15 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

1) 31 < p < 37

p can be 32,33,35,36 -- All these numbers can be expresses as product of two integers. So no definite answer Insufficient

2) p is add.. there are multiple solutions.. insufficient

combine both. : INSUFFICIENT

two possibilites 33 and 35

Ans E.

_________________

------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

#2 is sufficient. If p is odd, then it can be 33 or 35 or 3 or 7 (remember take each statement alone, so 31 < p < 37 isn't relevant information with #2). Each of these can still be expressed as the product of two integers. So #2 is sufficient as well. Because at least 1 is sufficient alone, we don't have to try them together.

The question is really asking: is p a non-prime? Statement 1 is sufficient; there are no primes between 31 and 37. Statement 2 is not sufficient- all we know is that p is an odd positive integer. p could be equal to 7, in which case p cannot be expressed as a product of two positive integers larger than 1. p could just as well be equal to 15, and thus equal to 3*5. A.

edit- I think you missed the part in the question that says 'each of which is greater than one'. If that didn't appear in the stem, we wouldn't need the statements at all- every positive integer can be expressed as the product of two positive integers (itself and 1), of course.
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I didn't miss it, I remember reading it, but i didn't follow my own steps in answering DS questions:

1) Read the entire problem 2) Find key words, Not, Only, Except, Prime, Positive, Integer, etc 3) Find qualifiers, Less than, Greater than, etc 4) rephrase question into easier format. (I.e., is x positive? becomes Is x always positive or always negative?) 5) answer the question.
_________________

------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

I didn't miss it, I remember reading it, but i didn't follow my own steps in answering DS questions:

1) Read the entire problem 2) Find key words, Not, Only, Except, Prime, Positive, Integer, etc 3) Find qualifiers, Less than, Greater than, etc 4) rephrase question into easier format. (I.e., is x positive? becomes Is x always positive or always negative?) 5) answer the question.

Agree with A.

you are right... Read Question properly Read question properly..
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Your attitude determines your altitude Smiling wins more friends than frowning

I didn't miss it, I remember reading it, but i didn't follow my own steps in answering DS questions:

1) Read the entire problem 2) Find key words, Not, Only, Except, Prime, Positive, Integer, etc 3) Find qualifiers, Less than, Greater than, etc 4) rephrase question into easier format. (I.e., is x positive? becomes Is x always positive or always negative?) 5) answer the question.

The answer is indeed A. Mr. Suresh has an excellent mathematical aptitude, must have did a silly mistake.

Jallen, you always help aspirants with good suggestions and explanations. I get to learn a lot from your posts. Thanks!!

I didn't miss it, I remember reading it, but i didn't follow my own steps in answering DS questions:

1) Read the entire problem 2) Find key words, Not, Only, Except, Prime, Positive, Integer, etc 3) Find qualifiers, Less than, Greater than, etc 4) rephrase question into easier format. (I.e., is x positive? becomes Is x always positive or always negative?) 5) answer the question.

The answer is indeed A. Mr. Suresh has an excellent mathematical aptitude, must have did a silly mistake.

Jallen, you always help aspirants with good suggestions and explanations. I get to learn a lot from your posts. Thanks!!

_________________

------------------------------------ J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.