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# M and N are both nonzero integers. Is M/N a prime number?

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SVP
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M and N are both nonzero integers. Is M/N a prime number? [#permalink]  02 Jun 2003, 00:00
M and N are both nonzero integers. Is M/N a prime number?

(1) |M|=–M
(2) |N|=N

Last edited by stolyar on 02 Jun 2003, 02:13, edited 1 time in total.
SVP
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I think that I have caught you again
Manager
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Statement 1 tells us that M is a negative number.......can be anything under the sun......

statement 2 tells us that N is a positive number......can be anything under the sun.......

M/N can be anything......prime, non-prime, non-integer.......

primes can be negative, right???? Isn't -2 a prime?? Is that the catch?????

am I missing something big
SVP
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brstorewala wrote:
Statement 1 tells us that M is a negative number.......can be anything under the sun......

statement 2 tells us that N is a positive number......can be anything under the sun.......

M/N can be anything......prime, non-prime, non-integer.......

primes can be negative, right???? Isn't -2 a prime?? Is that the catch?????

am I missing something big

Right, the trick is that M/N is always negative—this fact is more than enough to say that the fraction will NEVER be a prime number. The smallest prime is 2.

take a look http://members.surfeu.fi/kklaine/tpnsb/poopbear.html
Manager
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why do u think it will be a fraction????

case 1
m = -4......satisfies statement 1

n = 2.......satisfies statement 2

m/n = -2, which is a prime......

case 2
m = -16...satisfies statment 1

n = 4......satisfies statement 2

m/n = -4......which is not a prime
SVP
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brstorewala wrote:
why do u think it will be a fraction????

case 1
m = -4......satisfies statement 1

n = 2.......satisfies statement 2

m/n = -2, which is a prime......

case 2
m = -16...satisfies statment 1

n = 4......satisfies statement 2

m/n = -4......which is not a prime

I don't insist that it is a fraction. I simply insist that the answer is C. There are no negative primes. None at all. And probably will never be. It is a basic definition. You should have known that from your first breath as Depeche Mode sings.

Do you know negative primes? Supply us with an example!
Manager
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yes u are right my master
SVP
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brstorewala wrote:
yes u are right my master

Only positive primes exist.
CEO
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(1) |M|=–M

Maybe I am missing something big here but doesn't this imply that M = 0 ? How else would this be possible ?

In which case the Answer should be A surely ? Since M/N will always be 0.
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bsd_lover wrote:
(1) |M|=–M

Maybe I am missing something big here but doesn't this imply that M = 0 ? How else would this be possible ?

In which case the Answer should be A surely ? Since M/N will always be 0.

I have the same question. It states that M is nonzero, but then says absolute value of M = -M. How is that possible?

Or does |X| not mean absolute value of X ?
Manager
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A

Agree with bsd_lover.

S1. |M| = -M
This could only mean 0. Or is there an other interpretation.
Since M=0, M/N could never be a prime. So A.

S2. Could be any number.

I think its just a simple logic qus.
SVP
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bsd_lover wrote:
(1) |M|=–M

Maybe I am missing something big here but doesn't this imply that M = 0 ? How else would this be possible ?

In which case the Answer should be A surely ? Since M/N will always be 0.

It is possible if M =< 0

Pick numbers if u want to check ... Let say : M = -1. Then |M| = |-1| = 1 = - (-1) = - M...

I hope that helps
Manager
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Yes, from statement 1 M can be 0 or anything negative!
Director
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Re: who likes moduls? [#permalink]  05 Jun 2007, 09:10
stolyar wrote:
M and N are both nonzero integers. Is M/N a prime number?

(1) |M|=–M
(2) |N|=N

C.

should be C cuz M is -ve and N is +ve so the result is -ve and -ve integer/number cannot be a prime.

plaguerabbit wrote:
Yes, from statement 1 M can be 0 or anything negative!

M can not be zero cuz the statement says that M and N are non-zero numbers/integers.

Last edited by Himalayan on 05 Jun 2007, 09:22, edited 1 time in total.
Intern
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Wow... I had the same doubt! Thanks for the expln....
Manager
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No negative primes

CEO
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Ahhh Fig , Thanks for explaining mate. This concept is a LOT clearer now.
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