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# For integer n, f(n) denotes the remainder when n is divided

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Manager
Joined: 14 Jan 2006
Posts: 91
Schools: HKUST
Followers: 1

Kudos [?]: 32 [1] , given: 0

For integer n, f(n) denotes the remainder when n is divided [#permalink]

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15 Oct 2006, 02:38
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For integer n, f(n) denotes the remainder when n is divided by integer k. Is k greater than 10?
1). f(k+32)=8
2). f(k+42)=6
SVP
Joined: 05 Jul 2006
Posts: 1747
Followers: 6

Kudos [?]: 358 [0], given: 49

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15 Oct 2006, 09:06
For integer n, f(n) denotes the remainder when n is divided by integer k. Is k greater than 10?
1). f(k+32)=8
2). f(k+42)=6

FROM ONE 32/K GIVES A REMAINDER OF 8

K COULD BE 24 OR 12......SUFF

FROM TWO

42/K = 6 K COULD BE 36 OR 18 OR 12 OR 9 INSUFF

MY ANSWER IS A
Senior Manager
Joined: 05 Oct 2006
Posts: 266
Followers: 1

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

Re: DS: K>10??? [#permalink]

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15 Oct 2006, 23:04
1. f(k+32)=8 is the remainder..so k+32-8 =k+24 is divisible...implies k+24 is divisible by k or say,24 is divisible by k...also k must be more than theremaionder 8...so for k>8 and k dividing 24...the possible value of k could be 12 and 24....hence k>10..

sufficient..

2. with same argument..36 should be divisible by k and k>6...value satisfying these,k=9,12,18,36..hence k>10 i not true always..

insufficient

hence choice a
Re: DS: K>10???   [#permalink] 15 Oct 2006, 23:04
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# For integer n, f(n) denotes the remainder when n is divided

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