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

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Bunuel
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What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81 [#permalink] New post   28 Mar 2018, 23:51
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00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

85% (00:40) correct 15% (00:33) wrong based on 347 sessions
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GMAT CLUB TESTS' FRESH QUESTION.



What is the value of |m - n|?

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

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E
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D
Gladiator59
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Re: What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81 [#permalink] 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] 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] New post   24 Dec 2018, 02:36
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Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION.



What is the value of |m - n|?

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


Par of GMAT CLUB'S New Year's Quantitative Challenge Set

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Bunuel
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Re: What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81 [#permalink] New post   21 Oct 2023, 03:46
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Official Solution:


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

(1) \(n^2 = 36\).

This implies that \(n=6\) or \(n=-6\). This information is clearly insufficient, as we have no data regarding \(m\).

(2) \(m^2 = 81\).

This implies that \(m=9\) or \(m=-9\). Again, this is insufficient since we lack information about \(n\).

(1)+(2) If \(m\) and \(n\) have the same sign (either \(n=6\) and \(m=9\) OR \(n=-6\) and \(m=-9\)), then \(|m - n|=3\). However, if \(m\) and \(n\) have different signs (either \(n=6\) and \(m=-9\) OR \(n=-6\) and \(m=9\)), then \(|m - n|=15\). Given the two different possible answers, it is still 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]
21 Oct 2023, 03:46
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