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Which of the following CANNOT yield an integer when divided

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Which of the following CANNOT yield an integer when divided  [#permalink]

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New post 20 May 2013, 19:21
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Which of the following CANNOT yield an integer when divided by 7 ?

(A) The sum of three consecutive integers
(B) An integer with only even prime factors
(C) The product of two odd integers
(D) An integer divisible by 8
(E) An even integer

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Re: Which of the following CANNOT yield an integer when divided  [#permalink]

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New post 20 May 2013, 23:28
manishuol wrote:
Which of the following CANNOT yield an integer when divided by 7 ?

(A) The sum of three consecutive integers
(B) An integer with only even prime factors
(C) The product of two odd integers
(D) An integer divisible by 8
(E) An even integer

Good Questions also deserve KUDOS+++++++.


An integer to be divisible by 7, must have 7 in its prime factorization. Thus an integer with only even prime factors (2^n) CANNOT be divisible by 7.

Answer: B.

As for the other options:
(A) The sum of three consecutive integers --> if the three integers are {-1, 0, 1}, then their sum is 0 and 0 IS divisible by 7.
(C) The product of two odd integers --> 1*7=7 --> 7 is divisible by 7.
(D) An integer divisible by 8 --> 0 is divisible by both 7 and 8.
(E) An even integer --> 0=even is divisible by 7.

Hope it's clear.
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Re: Which of the following CANNOT yield an integer when divided  [#permalink]

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New post 21 May 2013, 09:24
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manishuol wrote:
Which of the following CANNOT yield an integer when divided by 7 ?

(A) The sum of three consecutive integers
(B) An integer with only even prime factors
(C) The product of two odd integers
(D) An integer divisible by 8
(E) An even integer

What I find a little misleading about this question, and therefore un-GMAT-like, is the use of plural in the term "even prime factors", because of course there's only one possible prime even number, 2. Yes, I realize it would be too much of a giveaway not to use the plural in this particular question, but I think there's something wrong if we have to resort to language that's mathematically incorrect in order to make the question effective.
That's my 2¢.
Mike :-)
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Re: Which of the following CANNOT yield an integer when divided  [#permalink]

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New post 11 Dec 2017, 17:32
Bunuel

How is B valid when 7(which is a prime no. itself) is raised to an even power of 2, therefore 7^2=49 which is still divisible by 7 and would therefore result in an integer when divided by 7?
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Re: Which of the following CANNOT yield an integer when divided  [#permalink]

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New post 11 Dec 2017, 19:33
BigUD94 wrote:
Bunuel

How is B valid when 7(which is a prime no. itself) is raised to an even power of 2, therefore 7^2=49 which is still divisible by 7 and would therefore result in an integer when divided by 7?


(B) says: An integer with only even prime factors. This mean an integer which has only 2 (even prime) as its prime factor. Please re-read the post above.
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Re: Which of the following CANNOT yield an integer when divided &nbs [#permalink] 11 Dec 2017, 19:33
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