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bkk145
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For all positive integer n, f(n) denotes the remainder when 12 Oct 2007, 13:38
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For all positive integer n, f(n) denotes the remainder when n is divided by positive integer k. Is k>10?
(1) f(k+32)=8
(2) f(k+42)=6



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For all positive integer n, f(n) denotes the remainder when Updated on: 12 Oct 2007, 14:43
Originally posted by KillerSquirrel on 12 Oct 2007, 13:52.
Last edited by KillerSquirrel on 12 Oct 2007, 14:43, edited 4 times in total.
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I have edited this post - the answer is (A)

:oops: :oops:
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IrinaOK
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For all positive integer n, f(n) denotes the remainder when Updated on: 12 Oct 2007, 14:33
Originally posted by IrinaOK on 12 Oct 2007, 13:54.
Last edited by IrinaOK on 12 Oct 2007, 14:33, edited 3 times in total.
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bkk145
For all positive integer n, f(n) denotes the remainder when n is divided by positive integer k. Is k>10?
(1) f(k+32)=8
(2) f(k+42)=6
Show more


EDITTED*

I agree with editted post of KS, but can not find what is wrong with these calculations.... can someone help please?

n/k=M+ f(n)-----------> M is an intenger

n=M*k+f(n)

1) k+32=Mk+8-------->(k+24)/k=M, thus 24/k=Intenger ----------> 2.2.2.3/k, thus k can be more or less than 10.

2) k+42=Mk+6--------> (k+36)/k=M, thus 36/k=Intenger-----------> 2.2.3.3/k, thus k can be more or less than 10.

both (1) and (2), k can be 2.3=6 less than 10 or 2.2.3 =12 which is more than 10.
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For all positive integer n, f(n) denotes the remainder when 12 Oct 2007, 14:00
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KillerSquirrel
k>10 ?

statement 1

f(k+32)=8

k+32 = k*n+8

k+24 = k*n

k*n - k = 24

k*(n-1) = 24

k can be 6 when n=5 or k can be 12 when n=3

insufficient

statement 2

f(k+42)=6

k+42 = k*x+6

k*(x-1) = 36

k can be 12 when x=4 or k can be 6 when x=7

insufficient

both statements

k*(n-1) = 36

k*(x-1) = 24

k can be 12 or 6

insufficient

the answer is (E)

:)
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I did exactly the same as you did...but it's not right.
From your (1), Imagine if k=6
then n=32+6=38
n/k = 38/6 => remainder = 2, not 8
OA is not E.
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For all positive integer n, f(n) denotes the remainder when 12 Oct 2007, 14:11
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Yes the answer is (A)

I guess you have to solve this by pluging in numbers.

44/12 ---> statement 1

54/12 or 51/9 ---> statement 2





:)
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For all positive integer n, f(n) denotes the remainder when 13 Oct 2007, 00:34
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bkk145
For all positive integer n, f(n) denotes the remainder when n is divided by positive integer k. Is k>10?

(1) f(k+32)=8
(2) f(k+42)=6
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I guess I have seen this question before and solved it.

got A as well.

1: since the reminder is 8, K cannot be 8 or less than 8. so if k = 9, n is (9+32) or 41 but 8 is not reminder if 41 is divided by 9.

similarly if k = 10, n is (10+32) or 42 and reminder is 2.
again, if k = 11, n is (11+32) or 43 and reminder is 10.
again, if k = 12, n is (12+32) or 42 and reminder is 8.
bingo...............

2: since r = 6, K cannot be 6 or less than 6. so if k = 7, n is (7+42) or 49 and r = 0.
similarly if k = 8, n is (8+42) or 50 and reminder is 2.
again, if k = 9, n is (9+42) or 51 and reminder is 6.
again, if k = 10, n is (10+42) or 52 and reminder is 2.
again, if k = 11, n is (11+42) or 53 and reminder is 9.
again, if k = 12, n is (12+42) or 54 and reminder is 6.

nsf.

So A should be it.
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For all positive integer n, f(n) denotes the remainder when 13 Oct 2007, 01:17
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Should this
n/k=M+ f(n)-----------> M is an intenger
be
n/k=M+ f(n)/k -----------> M is an intenger
IrinaOK
bkk145
For all positive integer n, f(n) denotes the remainder when n is divided by positive integer k. Is k>10?
(1) f(k+32)=8
(2) f(k+42)=6

EDITTED*

I agree with editted post of KS, but can not find what is wrong with these calculations.... can someone help please?

n/k=M+ f(n)-----------> M is an intenger

n=M*k+f(n)

1) k+32=Mk+8-------->(k+24)/k=M, thus 24/k=Intenger ----------> 2.2.2.3/k, thus k can be more or less than 10.

2) k+42=Mk+6--------> (k+36)/k=M, thus 36/k=Intenger-----------> 2.2.3.3/k, thus k can be more or less than 10.

both (1) and (2), k can be 2.3=6 less than 10 or 2.2.3 =12 which is more than 10.
Show more
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IrinaOK
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For all positive integer n, f(n) denotes the remainder when 13 Oct 2007, 01:22
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Artemov
Should this
n/k=M+ f(n)-----------> M is an intenger
be
n/k=M+ f(n)/k -----------> M is an intenger

IrinaOK
bkk145
For all positive integer n, f(n) denotes the remainder when n is divided by positive integer k. Is k>10?
(1) f(k+32)=8
(2) f(k+42)=6

EDITTED*

I agree with editted post of KS, but can not find what is wrong with these calculations.... can someone help please?

n/k=M+ f(n)-----------> M is an intenger

n=M*k+f(n)

1) k+32=Mk+8-------->(k+24)/k=M, thus 24/k=Intenger ----------> 2.2.2.3/k, thus k can be more or less than 10.

2) k+42=Mk+6--------> (k+36)/k=M, thus 36/k=Intenger-----------> 2.2.3.3/k, thus k can be more or less than 10.

both (1) and (2), k can be 2.3=6 less than 10 or 2.2.3 =12 which is more than 10.
Show more


I think you are right, otherwise i keep getting C, but C is obviously incorrect.

Besides, let`s take as an example:

7/2=3+1/2. My reasoning was 7/2=3 and remainder 2-------> and thus 7=3*2+ 1...also correct, though.



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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