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positive integer k

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positive integer k

by naaga » Sat Mar 07, 2009 4:41 am
If K is a positive integer , 0<K<10, when 26 is divided by K , the remainder is k-2. What is the value of K ?

1 ) K > 5

2 ) K is the square of an integer.

folks this is bit confusing me, help me out please .

I don't have OA for this post . thank in advance.
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by bluementor » Sat Mar 07, 2009 5:36 am
I believe both the statements point to two different values for k.

26 = kn + k-2, where n can be any positive integer.
28 = k(n+1)

However, n can be a positive integer only if k=7 or k=4.

Stmt 1: k>5

we can conclude that k must be 7. Sufficient.

Stmt 2: the only possible values for k is 4 and 9. k=9 will not satisfy the equation above. so k must be 4.

If my workings are right, then I guess this is not a proper GMAT DS question. GMAT DS statements will never contradict each other. Would be interested to know what others think about this problem.

-BM-
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by cramya » Sat Mar 07, 2009 10:25 am
Agree with BM on the validity of this being a real gmat type prob.

Both statements should lead to one single value when the answer seems to be D.

It is not possible for one statement to lead to 7 and the other to 4


Regards,
CR
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