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Scoretop 31 - Question 8 - Remainder

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Scoretop 31 - Question 8 - Remainder

by akay » Mon Sep 17, 2007 7:35 pm
A bit confusing...

When positive integer is x is divided by 5, the remainder is 3; and when x is divided by 7, the remainder is 4. When positive integer y is divided by 5, the remainder is 3; and when y is divided by 7, the remainder is 4. If x > y, which of the following must be a factor of x - y?

A. 12
B. 15
C. 20
D. 28
E. 35

If it helps the answer is 35.
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by niks_01.27 » Mon Sep 17, 2007 7:58 pm
If x > y and has to fit into the conditions as in the question, y should be incremented by a number which is divisible my both 5 and 7 (LCM => 35).
So if you subtract x - y; 35 must be a common factor.

So answer should be E.
regards
niks...
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by akay » Tue Sep 18, 2007 7:36 pm
thanks niks
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by kajcha » Wed Sep 19, 2007 3:08 am
akay, can you please make sure not to put answer with your question or just hide it... it just helps in better thinking - a friendly request...

Thanks
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