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pair (x, y) is not possible?

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pair (x, y) is not possible?

by sanju09 » Wed May 02, 2012 4:19 am
When positive integer n is divided by 5, the remainder is x. When 2n is divided by 5, the remainder is y. Which pair (x, y) is not possible?
(A) (2, 4)
(B) (0, 0)
(C) (4, 3)
(D) (3, 1)
(E) (3, 2)



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by gschaefer » Wed May 02, 2012 12:38 pm
In order to solve this problem, I tested 5 consecutive number to see which pair is not possible.

r= remainder

n=6 -> r=1
2n = 12 -> r= 2
Pair (1,2) not mentioned as solution

n=7 -> r=2
2n=14 -> r=4
A is possible

n=8 -> r=3
2n=16 -> r=1
D is possible

n=9 -> r=4
2n=18 -> r=3
C is passible

n=10 -> r=0
2n=20 ->r=0
B is possible

Hence pair E is not possible.
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