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# Do j and k yield the same remainder when divided by 24? (1)

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GMAT Instructor
Joined: 04 Jul 2006
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Do j and k yield the same remainder when divided by 24? (1) [#permalink]  14 Jul 2006, 02:46
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Do j and k yield the same remainder when divided by 24?

(1) When j and k are divided by 8 , they yield the same remainder.
(2) If jÂ´=j/4.5 and kÂ´=k/4.5, jÂ´-kÂ´is an even integer.
Manager
Joined: 04 Jul 2006
Posts: 57
Followers: 1

Kudos [?]: 2 [0], given: 0

Each statement alone is not sufficient.

(1) for example j=8, k= 0 or j=24 k=0.

(2) for example j=9, k=0 or j=72 k=0

Both statements together?

From (2) we know that (2j - 2k)/9 = even integer
Therefore j=k+9 or j=k-9.

Using (1), we can derive that the distance between j and k must be k*8 (k integer). Putting (1) and (2) together we get, that there distance must be k*72 (k integer) (and some other irrelevant conditions, because of (2)).
Therefore, the remainder must be the same, when we divide by 24.

Hence C.
CEO
Joined: 20 Nov 2005
Posts: 2913
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 18

Kudos [?]: 127 [0], given: 0

Re: DS: same remainder (corrected) [#permalink]  14 Jul 2006, 07:31
kevincan wrote:
Do j and k yield the same remainder when divided by 24?

(1) When j and k are divided by 8 , they yield the same remainder.
(2) If jÂ´=j/4.5 and kÂ´=k/4.5, jÂ´-kÂ´is an even integer.

C

St1: j = (A = Multiple of 8) + x and k = (B = Multiple of 8) + x: May be true or false. A or B may be multiple of 24 or not. : INSUFF

St2: This means (j-k)/4.5 is an even integer i.e (j-k) is [4.5 * (Even Integer)] i.e either j = odd multiple of 4.5 and k = odd multiple of 4.5 OR j = even multiple of 4.5 and k = even multiple of 4.5.: INSUFF

Combined: We can say that j and K must be multiple of 72. So will yield same remainder
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Re: DS: same remainder (corrected)   [#permalink] 14 Jul 2006, 07:31
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