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02 Nov 2016, 02:46
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D
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Difficulty:
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86% (01:42) correct
14%
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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
A. 16
B. 19
C. 40
D. 49
E. 72
Vinayak Shenoy
Joined: 06 Jun 2016
Last visit: 27 Jun 2017
Posts: 233
Own Kudos:
Given Kudos: 212
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
02 Nov 2016, 03:23
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Bunuel
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
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.
02 Nov 2016, 09:08
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Bunuel
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
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)
