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04 Sep 2018, 00:27
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
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Question Stats:
80% (01:34) correct
20%
(01:37)
wrong
based on 368
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[Math Revolution GMAT math practice question]
If x and y are integers, what is the least possible positive value of 21x+35y?
A. 1
B. 3
C. 5
D. 7
E. 9
If x and y are integers, what is the least possible positive value of 21x+35y?
A. 1
B. 3
C. 5
D. 7
E. 9
04 Sep 2018, 13:55
Kudos
Bookmarks
MathRevolution
21x + 35y = 7(3x + 5y)
Since x and y are INTEGERS, we know that 3x and 5y are each INTEGERS, which means 3x + 5y equals some integer
So, we can write: 21x + 35y = 7(some integer)
In other words, 21x + 35y is a multiple of 7
Check the answer choices.....only D is a multiple of 7
Answer: D
Cheers,
Brent
General Discussion
04 Sep 2018, 00:41
Kudos
Bookmarks
MathRevolution
We need least positive value. That means 35y is greater than 21x
Y will be positive and x will be negative.
Possible values of y= 35,70,105,140,175
Possible values of x= - 21, - 42, - 63, - 84, - 105, - 126, - 147
Least possible POSITIVE value = 70 - 63 = 7
Answer is D
( NOTE : 0 is neither positive nor negative integer. It is just even integer)
Thank you = Kudos
