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M is positive and Q is a negative. In equation Q = MN + R, R 16 Jun 2008, 23:51
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M is positive and Q is a negative. In equation Q = MN + R, R is reminder when Q is divided by M. if 0 < R < M, what will be the value of R when -100 is divided by M, which is 30.

a. 20
b. 10
c. 0
d. -10
e. -20



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M is positive and Q is a negative. In equation Q = MN + R, R 16 Jun 2008, 23:56
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GMAT TIGER
M is positive and Q is a negative. In equation Q = MN + R, R is reminder when Q is divided by M. if 0 < R < M, what will be the value of R when -100 is divided by M, which is 30.

a. 20
b. 10
c. 0
d. -10
e. -20
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(A) for me

R can be -10 or 20, but its the latter as its required to be positive.

Q = -100, M = 30, N = ?, R = ?

Substitute N = 3 to get -10, and 4 to get 20.
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M is positive and Q is a negative. In equation Q = MN + R, R 17 Jun 2008, 01:39
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Answer is (A):

-100 = 30 * (-4) + 20
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M is positive and Q is a negative. In equation Q = MN + R, R 17 Jun 2008, 01:48
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The above solution is valid when N is assumed to be an integer!!!
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M is positive and Q is a negative. In equation Q = MN + R, R 17 Jun 2008, 01:59
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iamcartic
The above solution is valid when N is assumed to be an integer!!!
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And it is.

"In equation Q = MN + R, R is reminder when Q is divided by M".

This whole "divisibility" thing talks about integers anyway. What does "Q is divided by M and the reminder is R" means otherwise ? There would be no uniqueness of R whatsoever if N could take any value.
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M is positive and Q is a negative. In equation Q = MN + R, R 17 Jun 2008, 05:03
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GMAT TIGER
M is positive and Q is a negative. In equation Q = MN + R, R is reminder when Q is divided by M. if 0 < R < M, what will be the value of R when -100 is divided by M, which is 30.
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From above, we conclude that -4<=n<-3
==> n=-4
Hence, r = 20.
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M is positive and Q is a negative. In equation Q = MN + R, R 17 Jun 2008, 06:52
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GMAT TIGER
M is positive and Q is a negative. In equation Q = MN + R, R is reminder when Q is divided by M. if 0 < R < M, what will be the value of R when -100 is divided by M, which is 30.

a. 20
b. 10
c. 0
d. -10
e. -20
Show more

we are told

-100=30*N+R

we now have to realize that N has to be negative..

so if N=3..

-100=30*3+R..then R=10..however We have to pick a negative number for N..

100=30*-4+r...R is 20...

A it is



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