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Joined: 06 Jun 2012
Posts: 14
Concentration: Technology, Entrepreneurship
GMAT 1: Q V
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For the positive integers q, r, s, and t, the remainder when [#permalink]
 21 Jul 2012, 13:38
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57% (01:51) correct
42% (00:31) wrong based on 4 sessions
For the positive integers q, r, s, and t, the remainder when q is divided by r is 7 and the remainder when s is divided by t is 3. All of the following are possible values for the product rt EXCEPT: A. 32 B. 38 C. 44 D. 52 E. 63
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Try to make my way to San Jose.
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MBA Section Director
Joined: 19 Mar 2012
Posts: 1273
Location: India
GPA: 3.8
WE: Marketing (Energy and Utilities)
Followers: 217
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Re: For the positive integers q, r, s, and t the remainder when [#permalink]
21 Jul 2012, 14:09
For the positive integers q, r, s, and t, the remainder when q is divided by r is 7 and the remainder when s is divided by t is 3. All of the following are possible values for the product rt EXCEPT: 1)32 2)38 3)44 4)52 5)63 Its obvious from the prompt that r is greater than 7 and t is greater than 3 so the product of rt must have at least 2 factors, one which is greater than 7 and other greater than 3 Now lets break down the possible factors so that this condition is validated The (r,t) pairs for the options can be: for 32, (8,4) for 44, (11,4) for 52 (13,4) for 63 (9,7) however 32 can only be written as 38*1 or 19*2 none of which can validate the prompt. Hence answer is B Hope this helps Cheers
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Intern
Joined: 06 Jun 2012
Posts: 14
Concentration: Technology, Entrepreneurship
GMAT 1: Q V
Followers: 0
Kudos [?]:
1
[0], given: 1
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Re: For the positive integers q, r, s, and t the remainder when [#permalink]
24 Jul 2012, 12:56
Thanks alot. I figured it out after I sent the post Just goes to show you that sleep is important.
_________________
Try to make my way to San Jose.
??? class of 2014
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MBA Section Director
Joined: 19 Mar 2012
Posts: 1273
Location: India
GPA: 3.8
WE: Marketing (Energy and Utilities)
Followers: 217
Kudos [?]:
799
[0], given: 514
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Re: For the positive integers q, r, s, and t, the remainder when [#permalink]
24 Jul 2012, 12:59
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Re: For the positive integers q, r, s, and t, the remainder when
[#permalink]
24 Jul 2012, 12:59
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