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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If x and y are positive integers that have remainders of 2 and 5, resp

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Math Expert V
Joined: 02 Sep 2009
Posts: 61283
If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

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Difficulty:   5% (low)

Question Stats: 92% (01:47) correct 8% (01:48) wrong based on 83 sessions

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If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?

A. 16
B. 19
C. 40
D. 49
E. 72

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Senior Manager  Joined: 06 Jun 2016
Posts: 250
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
Re: If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

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Bunuel wrote:
If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?

A. 16
B. 19
C. 40
D. 49
E. 72

IMO D
x=7k+2 and y=7q+5 (x+y= 7n+7)
x+y= multiple of 7
only D is multiple of 7.
Board of Directors D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4843
Location: India
GPA: 3.5
If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

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Bunuel wrote:
If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?

A. 16
B. 19
C. 40
D. 49
E. 72

Minimum value of x = 9 and y = 12=>

x + y = 21 ( Divisible by 7 )

So, The correct answer choice will be one that will be divisible by 7..

Among the given options only (D) satisfies, hence answer must be (D)
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Abhishek....

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Current Student D
Joined: 12 Aug 2015
Posts: 2537
Schools: Boston U '20 (M)
GRE 1: Q169 V154 Re: If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

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Abhishek009 wrote:
Bunuel wrote:
If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?

A. 16
B. 19
C. 40
D. 49
E. 72

Minimum value of x = 9 and y = 12=>

x + y = 21 ( Divisible by 7 )

So, The correct answer choice will be one that will be divisible by 7..

Among the given options only (D) satisfies, hence answer must be (D)

Hi..!!
I think you got one part incorrect.
When you say that the minimum value of x and y => 9,12
Actually i think the values will be 2 and 5 respectively.

Am i missing something here?

Regards
Stone Cold
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Joined: 07 Dec 2014
Posts: 1235
If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

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Bunuel wrote:
If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?

A. 16
B. 19
C. 40
D. 49
E. 72

x=7q+2
y=7p+5
x+y=7q+7p+7➡7(q+p+1)
49 is the only multiple of 7
D
Non-Human User Joined: 09 Sep 2013
Posts: 14085
Re: If x and y are positive integers that have remainders of 2 and 5, resp  [#permalink]

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_________________ Re: If x and y are positive integers that have remainders of 2 and 5, resp   [#permalink] 06 Jan 2020, 07:27
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# If x and y are positive integers that have remainders of 2 and 5, resp  