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Problem Solving (PS) | Re: When positive integer N is divided by 18, the remainder is x.

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GMATPrepNow wrote:

When positive integer N is divided by 18, the remainder is x. When N is divided by 6, the remainder is y. Which of the following are possible values of x and y?

i) x = 9 and y = 3
ii) x = 16 and y = 2
iii) x = 13 and y = 7

A) i only
B) i and ii only
C) i and iii only
D) ii and iii only
E) i,ii and iii


Given, N>0
N = 18k + x
N = 6q + y

Therefore, 18k + x = 6q + y

or x = 6(q-3k) + y

x = Multiple of 6 + y

Check the given statements
i) x = 9 and y = 3, possible for 9 = 6(1) + 3
ii) x =
...

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