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If m and n are integers and m not equal to n. Does n = 0?
[#permalink]
04 Jul 2023, 01:30
04 Jul 2023, 01:30
Expert Reply
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A
B
C
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Difficulty:
25%
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Question Stats:
70% (00:59) correct
30%
(01:08)
wrong
based on 67
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If m and n are integers and m not equal to n. Does n = 0?
(1) m = 7
(2) mn = n^2
(1) m = 7
(2) mn = n^2
Senior Manager
Joined: 09 Jun 2020
Posts: 298
Given Kudos: 171
Location: India
GMAT 1: 720 Q50 V36 
GPA: 4
Re: If m and n are integers and m not equal to n. Does n = 0?
[#permalink]
04 Jul 2023, 01:55
04 Jul 2023, 01:55
1
Kudos
Stmt 1: m = 7, clearly no information about n can be derived from this. so insufficient.
Stmt 2: \(mn = n^2\)
Rearranging this,
\(n^2 - mn = 0\)
\(n ( n-m) = 0\)
Since m not equal to n, therefore n = 0 hence sufficient.
The correct answer is B.
Stmt 2: \(mn = n^2\)
Rearranging this,
\(n^2 - mn = 0\)
\(n ( n-m) = 0\)
Since m not equal to n, therefore n = 0 hence sufficient.
The correct answer is B.
Bunuel wrote:
If m and n are integers and m not equal to n. Does n = 0?
(1) m = 7
(2) mn = n^2
(1) m = 7
(2) mn = n^2
Manager
Joined: 13 Mar 2023
Posts: 112
Given Kudos: 20
Location: India
Concentration: Finance, General Management
Re: If m and n are integers and m not equal to n. Does n = 0?
[#permalink]
04 Jul 2023, 03:01
04 Jul 2023, 03:01
1
Kudos
Statement 1 - m = 7 , it does not tell us about the value of n . Not sufficient
Statement 2 - mn = n^2 , this statement implies that either n = 0 or m = n. However, since the problem states that m is not equal to n, the only possible solution is n = 0. Sufficient
B is the answer
Statement 2 - mn = n^2 , this statement implies that either n = 0 or m = n. However, since the problem states that m is not equal to n, the only possible solution is n = 0. Sufficient
B is the answer
