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

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Manager
Joined: 05 Jul 2006
Posts: 195

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If j and k are positive integers where k > j, what is the [#permalink]

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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

Kudos [?]: 77 [0], given: 0

VP
Joined: 02 Jun 2006
Posts: 1257

Kudos [?]: 108 [0], given: 0

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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.

Kudos [?]: 108 [0], given: 0

Retired Moderator
Joined: 05 Jul 2006
Posts: 1749

Kudos [?]: 443 [0], given: 49

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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

Kudos [?]: 443 [0], given: 49

Senior Manager
Joined: 11 Jul 2006
Posts: 377

Kudos [?]: 17 [0], given: 0

Location: TX

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22 Sep 2006, 17:46
Good question Lan , got taken there
Goes to the error log.

Kudos [?]: 17 [0], given: 0

22 Sep 2006, 17:46
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# If j and k are positive integers where k > j, what is the

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