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If x, y, and z are positive integers, what is the remainder

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SVP
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Joined: 04 May 2006
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Schools: CBS, Kellogg
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If x, y, and z are positive integers, what is the remainder [#permalink] New post 10 Jun 2008, 21:37
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

74% (02:20) correct 25% (00:38) wrong based on 35 sessions
If x, y, and z are positive integers, what is the remainder when 100x + 10y + z is divided by 7 ?

(1) y = 6

(2) z = 3

i think that 100x + 10y ends by 0, so whether 100x + 10y + z divisible by 7 depends on z. so B is suff. What do you think friends? Thanks!
[Reveal] Spoiler: OA
2 KUDOS received
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Re: GmatPrep. DS [#permalink] New post 10 Jun 2008, 22:11
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I think it should be E

you can represent 100X+10Y+Z as a three digit number XYZ


now from condition 1 and 2 , this three digit number is X63 , plug in different values for X : 163/7 --remainder is 2 , 263/7 ----remainder 4

One more comment on this solution : X , Y , Z can be > 10 ,so represtating 100X+10Y+Z as XYZ will not always be right , but by limiting the scope of X, Y, Z values we can simplyfy the solution ;-)
SVP
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Joined: 04 May 2006
Posts: 1943
Schools: CBS, Kellogg
Followers: 14

Kudos [?]: 208 [0], given: 1

Premium Member CAT Tests
Re: GmatPrep. DS [#permalink] New post 10 Jun 2008, 23:40
rpmodi wrote:
I think it should be E

you can represent 100X+10Y+Z as a three digit number XYZ


now from condition 1 and 2 , this three digit number is X63 , plug in different values for X : 163/7 --remainder is 2 , 263/7 ----remainder 4

One more comment on this solution : X , Y , Z can be > 10 ,so represtating 100X+10Y+Z as XYZ will not always be right , but by limiting the scope of X, Y, Z values we can simplyfy the solution ;-)


Thanks rpmodi, smart explaination!and E is OA :P
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Re: If x, y, and z are positive integers, what is the remainder [#permalink] New post 22 Oct 2013, 13:59
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Re: If x, y, and z are positive integers, what is the remainder   [#permalink] 22 Oct 2013, 13:59
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