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If j and k are positive integers where k > j, what is the

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If j and k are positive integers where k > j, what is the [#permalink] New post 22 Sep 2006, 14:02
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If j and k are positive integers where k > j, what is the value of the remainder when k is divided by j?

(1) There exists a positive integer m such that k = jm + 5.

(2) j > 5
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 [#permalink] New post 22 Sep 2006, 14:17
Given k,j +ve integers,
r=? if k = jxm + r

S1: Given k =jm+5

If k = 10, j = 5, then
k = 5x1 + 5, but remainder is zero.
If k = 12, j = 7 then
k = 7x1 + 5 remainder is 5.
Not sufficient.

S2: j > 5, Not sufficient.

S1 & S2:
k = jm+5, j>5
If j > 5, then remainder is always < divisor i.e. 5

Sufficient.

Answer: C
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 [#permalink] New post 22 Sep 2006, 14:18
If j and k are positive integers where k > j, what is the value of the remainder when k is divided by j?

(1) There exists a positive integer m such that k = jm + 5.

(2) j > 5

C by definiton from one remainder could be 5 if only j> 5 because if not we will be able to devide 5 by J one more time and thus the remainder wont be fife
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 [#permalink] New post 22 Sep 2006, 17:46
Good question Lan , got taken there
Goes to the error log.
  [#permalink] 22 Sep 2006, 17:46
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