Six different companies are each donating a certain amount

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varun289: Master | Next Rank: 500 Posts; Posts: 298; Joined: Sun Jun 03, 2012 6:42 am; Location: New delhi; Thanked: 10 times; Followed by:7 members; GMAT Score:590

Six different companies are each donating a certain amount

by varun289 » Sun Apr 28, 2013 8:47 am

Six different companies are each donating a certain amount of money to a specific charity. Each company is donating a different amount of money, and the total amount donated by the six companies is $58,000. Did at least one of companies donate less than $3000?

(1) The company that donated the most gave $38,000

(2) The company that donated the second least gave $4000

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Source: Beat The GMAT — Data Sufficiency | Sun Apr 28, 2013 8:47 am

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

by Brent@GMATPrepNow » Sun Apr 28, 2013 9:08 am

varun289 wrote:Six different companies are each donating a certain amount of money to a specific charity. Each company is donating a different amount of money, and the total amount donated by the six companies is $58,000. Did at least one of companies donate less than $3000?

(1) The company that donated the most gave $38,000

(2) The company that donated the second least gave $4000

Target question: Did at least one of companies donate less than $3000?

Statement 1: The company that donated the most gave $38,000
This means the other 5 companies donated a TOTAL of $20,000
Does this help us answer our target question? No.
Consider these 2 conflicting cases:
Case a: the donations are: 2999, 4000, 4001, 4250, 4750, 38,000 in which case at least one company donated less than $3000
Case b: the donations are: 3500, 4000, 4100, 4150, 4250, 38,000 in which case zero companies donated less than $3000
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

IMPORTANT: Notice that, for both cases, I chose values that also satisfy statement 2.

So, we now know that statement 2 is NOT SUFFICIENT

And we know that the combined statements are NOT SUFFICIENT

Answer = E

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com