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.
positive integer k
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 418
- Joined: Wed Jun 11, 2008 5:29 am
- Thanked: 65 times
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-
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-
-
- Legendary Member
- Posts: 2467
- Joined: Thu Aug 28, 2008 6:14 pm
- Thanked: 331 times
- Followed by:11 members
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
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