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Math Expert V
Joined: 02 Sep 2009
Posts: 57155
If m and n are positive integers, what is the value of m?  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 66% (01:01) correct 34% (00:59) wrong based on 133 sessions

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If m and n are positive integers, what is the value of m?

(1) m! = n
(2) n! = m

_________________
Manager  G
Joined: 19 Nov 2017
Posts: 204
Location: India
Schools: ISB
GMAT 1: 670 Q49 V32 GPA: 4
Re: If m and n are positive integers, what is the value of m?  [#permalink]

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Bunuel wrote:
If m and n are positive integers, what is the value of m?

(1) m! = n
(2) n! = m

(1) m! = n
Case 1
m = 2
n = 2
m! = n

Case 2
m = 3
n = 6
m! = n
Statement 1 is not sufficient

(2) n! = m
Case 1
n = 2
m = 2
n! = m

Case 2
n = 3
m = 6
n! = m
Statement 2 is not sufficient

(1) and (2)
m = 1
n = 1
n! = m
m! = n

m=n=1

Hence C.
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If m and n are positive integers, what is the value of m?  [#permalink]

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Bunuel wrote:
If m and n are positive integers, what is the value of m?

(1) m! = n
(2) n! = m

I am not able to understand from given relations in statments that m!=n so both integer values ' i.e. 1!=1, 2!=2 ' have to be same or is that value of m! has to be equal to n viz. 4!=24, 5!=120..

from 1 ; m!=n
m! = 1,2,3,4,5... so n= 1,2,6,24,120....

by m!=n , will it proof the sufficient at 1!=1 , 2!=2 and in suffcient at 3!=6 and 4!=24 ??

similarly with statement 2 , n!=m we get different and same values...

GMATinsight : sir could you please help in solving this question.. I am not able to understand the question well... on how to prove the statements insufficient.. _________________
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Status: GMATINSIGHT Tutor
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Re: If m and n are positive integers, what is the value of m?  [#permalink]

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2
Bunuel wrote:
If m and n are positive integers, what is the value of m?

(1) m! = n
(2) n! = m

Archit3110

Given Information: m and n are positive integers

Question: m= ?

Statement 1: m!=n
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Statement 1: n!=m
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Combining the two statements
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Answer: Option E
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Re: If m and n are positive integers, what is the value of m?  [#permalink]

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GMATinsight wrote:
Bunuel wrote:
If m and n are positive integers, what is the value of m?

(1) m! = n
(2) n! = m

Archit3110

Given Information: m and n are positive integers

Question: m= ?

Statement 1: m!=n
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Statement 1: n!=m
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Combining the two statements
@n = 1, m = 1
@n = 2, m = 2 multiple values of m
NOT SUFFICIENT

Answer: Option E

GMATinsight : understood thank you.. _________________
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Manager  S
Joined: 24 Dec 2017
Posts: 191
Location: India
Concentration: Strategy, Real Estate
Schools: Johnson '21
Re: If m and n are positive integers, what is the value of m?  [#permalink]

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m and n = +ve intergers

m =?

St 1: m! = n

For example, if m = 1, n=1 as well or if m = 2!(2 x 1 = 2), n = 2 as well. Therefore m takes multiple values here and the statement is not sufficient to answer the question.

St 2: n! = m

Same as St 1

St 1 & St 2: No additional information.

Therefore Answer is E
Math Expert V
Joined: 02 Sep 2009
Posts: 57155
Re: If m and n are positive integers, what is the value of m?  [#permalink]

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Bunuel wrote:
If m and n are positive integers, what is the value of m?

(1) m! = n
(2) n! = m

_________________ Re: If m and n are positive integers, what is the value of m?   [#permalink] 24 Dec 2018, 01:43
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# If m and n are positive integers, what is the value of m?

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