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If M and N are positive, what is M*N ?

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If M and N are positive, what is M*N ? [#permalink] New post 21 Nov 2009, 09:05
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Question Stats:

59% (01:44) correct 41% (00:45) wrong based on 97 sessions
If M and N are positive, what is M*N ?

(1) M^N=1
(2) N^M=1

Answer is
[Reveal] Spoiler:
C
. But I picked
[Reveal] Spoiler:
E
. M, N could be 0, or 1, because whatever to the power of zero is 1. Or is it different in GMATland?

Thanks guys
[Reveal] Spoiler: OA

Last edited by Bunuel on 04 Jul 2013, 22:48, edited 1 time in total.
Added the OA.
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Re: GMAT Club Test...needs clarification. Thanks [#permalink] New post 21 Nov 2009, 09:28
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wolver123 wrote:
If M and N are positive, what is M*N ?

1.M^N=1
2.N^M=1

Answer is C. But I picked E. M, N could be 0, or 1, because whatever to the power of zero is 1. Or is it different in GMATland?

Thanks guys


m and n are positive.

(1) m^n=1 --> m=1 and n is any value (satisfying the condition that they are both positive). mn unknown. Not sufficient;

(2) n^m=1 --> n=1 and m is any value (satisfying the condition that they are both positive). mn unknown. Not sufficient;

(1)+(2) m=1 and n=1, mn=1. Sufficient.

Answer: C.
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Re: GMAT Club Test...needs clarification. Thanks [#permalink] New post 21 Nov 2009, 19:27
agree. gmat club teaches you to really be careful in reading the question
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Re: GMAT Club Test...needs clarification. Thanks [#permalink] New post 21 Nov 2009, 22:18
thanks guys. tricky.
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Re: GMAT Club Test...needs clarification. Thanks [#permalink] New post 22 Nov 2009, 04:32
St1: M^N=1 => M =1 & N=any number or M= any number & N=0; So M*N could be 0 or any number; Insuff
St2: N^M=1 => M =any number & N=1 or M= 0 & N=any number; So M*N could be 0 or any number; Insuff

Combined M=1 and N=1. Hence M*N=1

Hence C
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Re: If M and N are positive, what is M*N ? [#permalink] New post 26 Dec 2013, 03:05
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wolver123 wrote:
If M and N are positive, what is M*N ?

(1) M^N=1
(2) N^M=1

Answer is
[Reveal] Spoiler:
C
. But I picked
[Reveal] Spoiler:
E
. M, N could be 0, or 1, because whatever to the power of zero is 1. Or is it different in GMATland?

Thanks guys



IMO C.

M and N are positive , hence M or N cannot be 0.

1) M = 1 and N can be 1,2,3.. .. hene M*N can be 1,2,3....Not Sufficient.

2) N=1 and M can be anything 1,2,3 ... Not sufficient ....

Combined .. we have M=1 and N=1 .. Sufficient....
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Re: If M and N are positive, what is M*N ? [#permalink] New post 27 Jun 2014, 01:07
Bunuel wrote:
wolver123 wrote:
If M and N are positive, what is M*N ?

1.M^N=1
2.N^M=1

Answer is C. But I picked E. M, N could be 0, or 1, because whatever to the power of zero is 1. Or is it different in GMATland?

Thanks guys


m and n are positive.

(1) m^n=1 --> m=1 and n is any value (satisfying the condition that they are both positive). mn unknown. Not sufficient;

(2) n^m=1 --> n=1 and m is any value (satisfying the condition that they are both positive). mn unknown. Not sufficient;

(1)+(2) m=1 and n=1, mn=1. Sufficient.

Answer: C.


Thanks. In GC math book I read that 0 should be treated as positive. Please correct me if I am wrong here.

Regards,
Ashish
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Re: If M and N are positive, what is M*N ? [#permalink] New post 27 Jun 2014, 01:17
Expert's post
1
This post was
BOOKMARKED
asagraw wrote:
Bunuel wrote:
wolver123 wrote:
If M and N are positive, what is M*N ?

1.M^N=1
2.N^M=1

Answer is C. But I picked E. M, N could be 0, or 1, because whatever to the power of zero is 1. Or is it different in GMATland?

Thanks guys


m and n are positive.

(1) m^n=1 --> m=1 and n is any value (satisfying the condition that they are both positive). mn unknown. Not sufficient;

(2) n^m=1 --> n=1 and m is any value (satisfying the condition that they are both positive). mn unknown. Not sufficient;

(1)+(2) m=1 and n=1, mn=1. Sufficient.

Answer: C.


Thanks. In GC math book I read that 0 should be treated as positive. Please correct me if I am wrong here.

Regards,
Ashish


Where in math book is written this?

0 is neither positive nor negative integer (the only one of this kind).

Check tips on number properties here: tips-and-hints-for-specific-quant-topics-with-examples-172096.html#p1371030

Theory on Number Properties: math-number-theory-88376.html

DS Number Properties Problems to practice: search.php?search_id=tag&tag_id=38
PS Number Properties Problems to practice: search.php?search_id=tag&tag_id=59

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: If M and N are positive, what is M*N ?   [#permalink] 27 Jun 2014, 01:17
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