Red Heads

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MalcolmW: Junior | Next Rank: 30 Posts; Posts: 20; Joined: Sun Nov 01, 2015 8:58 pm

by MalcolmW » Mon Dec 07, 2015 6:51 pm

What percent of a group of people are women with red hair?
(1) Of the women in the group, 5 percent have red hair.
(2) Of the men in the group, 10 percent have red hair.

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Source: Beat The GMAT — Data Sufficiency | Mon Dec 07, 2015 6:51 pm

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 Dec 07, 2015 7:12 pm

Statement 1 tells us the percentage of women that have red hair, but does not provide a way to determine what percentage of the entire group is made up of women or red haired women.

Insufficient.

Statement 2 tells us nothing about red haired women.

Insufficient.

Combining the statements we still have no way to determine what percentage of the entire group is made up of women or women with red hair.

So the correct answer is E.

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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Matt@VeritasPrep: GMAT Instructor; Posts: 2630; Joined: Wed Sep 12, 2012 3:32 pmFollowed by: 119 members; Location: East Bay all the way; Thanked: 625 times; GMAT Score:780

by Matt@VeritasPrep » Fri Dec 11, 2015 1:55 pm

We can also do it algebraically.

We've got w and m men. Combining the statements, we have .05w + .10m redheads.

So that % of redheads = (.05w + .1m) / (w + m). But we can't simplify this to an number: the variables don't cancel.

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