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What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81

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What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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New post 28 Mar 2018, 23:51
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (00:41) correct 14% (00:31) wrong based on 148 sessions

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Re: What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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New post 29 Mar 2018, 01:37
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION.



What is the value of |m - n|?

(1) n^2 = 36
(2) m^2 = 81


(1) n^2 = 36 ... Hence n = +6 or -6. Since we do not know what m is Insuff

(2) We do not know what n is. Insuff

(1) + (2) ... n = +6 or - 6.... m = +9 or -9

m-n = +15,-15,3,-3

|m-n| = 15 or 3

So (1) + (2) is Insuff

Hence Option (E) is our answer.

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Re: What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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New post 30 Mar 2018, 11:27
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION.



What is the value of |m - n|?

(1) n^2 = 36
(2) m^2 = 81


(1) n^2 = 36

n = 6 or -6

No info about m

Insufficient

(2) m^2 = 81

m = 9 or -9

No info about m

Insufficient

Combine both 1 & 2

Let n =6 & m = 9....|m - n| = |9 - 6| = 3

Let n =6 & m = -9....|m - n| = |-9 - 6| = 15

Two different answers

Insufficient

Answer: E
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Re: What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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New post 24 Dec 2018, 02:36
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Re: What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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New post 04 Jul 2019, 05:25
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION.



What is the value of |m - n|?

(1) n^2 = 36
(2) m^2 = 81



OFFICIAL EXPLANATION:



What is the value of \(|m - n|\)?

(1) \(n^2 = 36\). This implies that \(n=6\) or \(n =-6\). Clearly insufficient as we have no info on \(m\).

(2) \(m^2 = 81\). This implies that \(m=9\) or \(m =-9\). Clearly insufficient as we have no info on \(n\).
(1)+(2) If \(m\) and \(n\) have the same sign (if \(n=6\) and \(m=9\) OR if \(n=-6\) and \(m=-9\)), then \(|m - n|=3\) but if \(m\) and \(n\) have different signs (if \(n=6\) and \(m=-9\) OR if \(n=-6\) and \(m=9\)), then \(|m - n|=15\). Two different answers. Not sufficient.

Answer: E
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Re: What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81   [#permalink] 04 Jul 2019, 05:25
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