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number system DS

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number system DS

by vertigo05 » Sat Feb 27, 2010 9:09 am
If X and Y are nonzero integers, what is the remainder when X is divided by Y?

(1) When X is divided by 2y, the remainder is 4

(2) When X+Y is divided by y, the remainder is 4

Ans : B
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by arzanr » Sat Feb 27, 2010 9:31 am
For I you can plug in numbers and get different answers and for II the remainder would be the same since you're just going up one multiple of y hence the ans is B.
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by Fiver » Mon Mar 01, 2010 7:33 am
st 2] When X+Y is divided by y, the remainder is 4

X/Y + Y/Y gives 4 as the remainder.
Since Y/Y yeilds 0 as the remainder, the entire 4 must have been yeilded from X/Y.
Hence B
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by schumi_gmat » Tue Mar 09, 2010 11:48 pm
Fiver wrote:st 2] When X+Y is divided by y, the remainder is 4

X/Y + Y/Y gives 4 as the remainder.
Since Y/Y yeilds 0 as the remainder, the entire 4 must have been yeilded from X/Y.
Hence B
IMO E

1. is not suff

2. x=4, y=9, then x+y/y yileds 4 and x/y yields 0 remainder
x= 13, y=9, then 22/9 yields 4 and x/y yields 4 as remainder. Hence insuff

3. No solution

Hence E
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by Fiver » Wed Mar 10, 2010 9:20 am
schumi_gmat wrote:
Fiver wrote: 2. x=4, y=9, then x+y/y yileds 4 and x/y yields 0 remainder
In this case when x=4 and y=9; x/y =4/9 the remainder is again 4 not 0 because 0/9 itself gives remainder as 0.
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