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For the positive integers q, r, s, and t, the remainder when [#permalink]

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21 Jul 2012, 12:38

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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:

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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For the positive integers q, r, s, and t, the remainder when [#permalink]

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24 Oct 2012, 21:57

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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

Re: For the positive integers q, r, s, and t, the remainder when [#permalink]

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24 Oct 2012, 22:24

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Jp27 wrote:

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

\(32 = 2^5\) \(38 = 2^1 * 19^1\) \(44 = 2^2 * 11^1\) \(52 = 2^2 * 13^1\) \(63 = 3^2 * 7^1\) All options other than B can be represented as a product of two numbers one being greater than or equal to 4 and the other being greater than or equal to 8.

So, answer should be B

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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

Re: For the positive integers q, r, s, and t, the remainder when [#permalink]

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21 Jul 2014, 18:44

Hello from the GMAT Club BumpBot!

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Re: For the positive integers q, r, s, and t, the remainder when [#permalink]

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23 Mar 2015, 01:49

souvik101990 wrote:

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

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

Hi souvik101990! I think there is a typo in bolded part of statement. There should be 38 not 32. Yes?
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Re: For the positive integers q, r, s, and t, the remainder when [#permalink]

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17 Aug 2016, 22:43

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: For the positive integers q, r, s, and t, the remainder when [#permalink]

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25 Aug 2017, 07:34

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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For the positive integers q, r, s, and t, the remainder when [#permalink]

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29 Aug 2017, 18:06

TechWithNoExp wrote:

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

r>7 t>3 rt factor can't be<4 38 has two sets of factors: 1*38*and 2*19 1 and 2 are both<4 B