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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: 64222
What is the value of |m| - |n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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28 Mar 2018, 22:52
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Difficulty:

5% (low)

Question Stats:

85% (00:30) correct 15% (00:43) wrong based on 188 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

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 64222
Re: What is the value of |m| - |n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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04 Jul 2019, 02:59
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|?

To solve this question recall that $$\sqrt{x^2}=|x|$$

(1) n^2 = 36. Take the square root from both sides: |n| = 6. We don't know the value of |m|. Not sufficient.

(2) m^2 = 81. Take the square root from both sides: |m| = 9. We don't know the value of |n|. Not sufficient.

(1)+(2) |m| - |n| = 9 - 6 = 3. Sufficient.

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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, 00:40
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION.

What is the value of |m| - |n|?

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

(1) : Does not tell us value of m. Insuff

(2) : Does not tell value of n. Insuff

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

|m| = 9 & |n| = 6
Hence Sufficient

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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, 10:31
1
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

Insufficient

(2) m^2 = 81

m = 9 or -9

Insufficient

Combine both 1 & 2

In any value of n & m, then |m| - |n| will have fixed value. Let's see:

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

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

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

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

Sufficient

Math Expert
Joined: 02 Sep 2009
Posts: 64222
Re: What is the value of |m| - |n|? (1) n^2 = 36 (2) m^2 = 81  [#permalink]

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24 Dec 2018, 01:35
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION.

What is the value of |m| - |n|?

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

_________________
Re: What is the value of |m| - |n|? (1) n^2 = 36 (2) m^2 = 81   [#permalink] 24 Dec 2018, 01:35