Six different companies are each donating a certain amount of money to a specific charity. Each company is donating a

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 am; Followed by:3 members

Six different companies are each donating a certain amount of money to a specific charity. Each company is donating a

by VJesus12 » Fri Dec 10, 2021 8:34 am

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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 the companies donate less than $\$3000?$

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

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

Answer: E

Source: Veritas Prep

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Source: Beat The GMAT — Data Sufficiency | Fri Dec 10, 2021 8:34 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

Re: Six different companies are each donating a certain amount of money to a specific charity. Each company is donating

by Brent@GMATPrepNow » Fri Dec 10, 2021 2:22 pm

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VJesus12 wrote: ↑
Fri Dec 10, 2021 8:34 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 the companies donate less than $\$3000?$

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

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

Answer: E

Source: Veritas Prep

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