GMAT QUESTION: INEQUALITIES

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candela.tartiere: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Sun Feb 17, 2013 1:46 am

by candela.tartiere » Mon Feb 18, 2013 10:32 am

A certain economics report defines a middle-income family as a family whose income is at least half, but no more than twice, the median family income. According to this report, is a family whose income is $73,000 considered a middle-income family?

(1) The median family income is $37,152
(2) The mimimum income of a middle-class family is $18,576

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Source: Beat The GMAT — Data Sufficiency | Mon Feb 18, 2013 10:32 am

Jim@StratusPrep: MBA Admissions Consultant; Posts: 2279; Joined: Fri Nov 11, 2011 7:51 amFollowed by: 266 members; Location: New York; Thanked: 660 times; GMAT Score:770

by Jim@StratusPrep » Mon Feb 18, 2013 10:42 am

The answer is D.

1) Give you are range of 18,576 to 74,304 by taking half of the median income and doubling the median income.
2) You can double this figure twice to find the high end of the range: 74,304

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Mon Feb 18, 2013 11:15 am

candela.tartiere wrote:A certain economics report defines a middle-income family as a family whose income is at least half, but no more than twice, the median family income. According to this report, is a family whose income is $73,000 considered a middle-income family?

(1) The median family income is $37,152
(2) The mimimum income of a middle-class family is $18,576

It's important to point out that statements 1 and 2 are essentially telling us the same thing.
If the median income is $37,152, then the minimum income of a middle-class family must be $18,576. Conversely, if the minimum income of a middle-class family is $18,576, then the median income must be $37,152

Whenever the two statements provide what amounts to be the same information, then the correct answer must be either D or E.

So, once you recognize that one of the statements is sufficient, you can automatically conclude that the correct answer is D.

This concept (along with other DS strategies) is covered in this free video: https://www.gmatprepnow.com/module/gmat- ... cy?id=1109

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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