DS Absolute Value

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dunnec3: Junior | Next Rank: 30 Posts; Posts: 17; Joined: Sun Nov 22, 2015 12:42 am

by dunnec3 » Mon Mar 14, 2016 7:08 am

Pretty sure I've this one but would like to confirm I have it right. Anyone want to give it a go?

What is the value of m?

(1) |m| = âˆ’36/m

(2) 2m+2|m| = 0

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Source: Beat The GMAT — Data Sufficiency | Mon Mar 14, 2016 7:08 am

MartyMurray: Legendary Member; Posts: 2135; Joined: Mon Feb 03, 2014 9:26 amFollowed by: 140 members; Location: https://martymurraycoaching.com/; Thanked: 955 times; GMAT Score:800

by MartyMurray » Mon Mar 14, 2016 7:21 am

Statement 1: |m| = -36/m

Since an absolute value must always be positive and since m * |m| = -36, m must be negative.

We can say -1 x |m| x |m| = -36 and |m| x |m| = 36

So m is -6.

Sufficient.

Statement 2: 2m + 2|m| = 0

This just tells us that 2|m| = -2m, which works as long as m is negative or 0.

So there are many values of m that work.

Insufficient.

The correct answer is A.

Marty Murray
Perfect Scoring Tutor With Over a Decade of Experience
MartyMurrayCoaching.com
Contact me at [email protected] for a free consultation.

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dunnec3: Junior | Next Rank: 30 Posts; Posts: 17; Joined: Sun Nov 22, 2015 12:42 am

by dunnec3 » Mon Mar 14, 2016 8:07 am

Great, thanks. That's what I thought but just wanted to make sure I wasn't missing anything.

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