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

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Math Expert
Joined: 02 Sep 2009
Posts: 64221
What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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28 Mar 2018, 22:51
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5% (low)

Question Stats:

83% (00:41) correct 17% (00:28) wrong based on 209 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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Re: What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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29 Mar 2018, 00:37
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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30 Mar 2018, 10:27
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

Insufficient

Math Expert
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Posts: 64221
Re: What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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24 Dec 2018, 01:36
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION.

What is the value of |m - n|?

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

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 64221
Re: What is the value of |m - n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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04 Jul 2019, 04:25
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.

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

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

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