Can the positive integer x be expressed as the product of : DS Archive
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# Can the positive integer x be expressed as the product of

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Can the positive integer x be expressed as the product of [#permalink]

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01 Feb 2008, 02:39
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Can the positive integer x be expressed as the product of two positive integers a and b where a is not equal to 1 and b is not equal to 1?

(1) 27< x < 33
(2) x is not a multiple of 7

I really hate the "can" questions because I can't really understand where my limit is. I chose D, but the OA is E. For example, it statement 1, I thought the question is asking whether X can be any other number that is not prime. since statement 1 gives us the range of numbers that includes numbers that are not prime, I looked at it as "yeah, its possible to have numbers that are not prime", so I accepted it because the question asked using the word "can" not "must", but I was wrong. I used the same logic with statement 2. how do you approach such "can" questions?
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01 Feb 2008, 03:45
tarek99 wrote:
Can the positive integer x be expressed as the product of two positive integers a and b where a is not equal to 1 and b is not equal to 1?

(1) 27< x < 33
(2) x is not a multiple of 7

1: x could be 28 or 29 or so on. nsf
2: x could be 29 or 30 or s o on. nsf.

1&2: x could be 29 or 30 or 31 or 32.
so E.
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01 Feb 2008, 06:09
should be e

stat 1 says that n is 28, 29, 30, 21 or 32. some of these are prime, and others arent, so insuff.

stat 2 says that n is anything except 7, 14, 21, etc. again, some prime and some not. insuff.

together, n is either 29, 30, 31 or 32. some prime and some not. insuff.
Re: DS: "can" questions   [#permalink] 01 Feb 2008, 06:09
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