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Five friends recently visited a famous chocolatier, and collectively purchased a total of 16 pounds of fudge. Did any

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Five friends recently visited a famous chocolatier, and collectively purchased a total of 16 pounds of fudge. Did any

by Vincen » Thu Sep 03, 2020 5:59 am

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Five friends recently visited a famous chocolatier, and collectively purchased a total of 16 pounds of fudge. Did any one friend purchase more than 5 pounds of fudge?

(1) No two friends purchased the same amount of fudge.

(2) The minimum increment in which the chocolatier sells fudge is one pound.

Answer: C

Source: Veritas Prep
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Source: — Data Sufficiency |
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Re: Five friends recently visited a famous chocolatier, and collectively purchased a total of 16 pounds of fudge. Did an

by swerve » Thu Sep 03, 2020 2:27 pm

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Vincen wrote: ↑
Thu Sep 03, 2020 5:59 am
 Five friends recently visited a famous chocolatier, and collectively purchased a total of 16 pounds of fudge. Did any one friend purchase more than 5 pounds of fudge?

(1) No two friends purchased the same amount of fudge.

(2) The minimum increment in which the chocolatier sells fudge is one pound.

Answer: C

Source: Veritas Prep
Sum of 5 friends=16 pounds
Question: Did any one of the friends buy >5 pounds?

1) No two same amounts:
Answer to the question is YES: (6, 1,2,3,4)
Answer to the question is NO: (1.5, 2.5, 3.5, 4, 4.5)
Two possible answers, hence insufficient. \(\Large{\color{red}\chi}\)

2) The minimum amount is 1 pound.
YES: (6, 1,2,3,4)
NO: (4,4,4,2,2)
Insufficient. \(\Large{\color{red}\chi}\)

(1)+(2) The only case that satisfy both statements is (6, 1,2,3,4) \(\Large{\color{green}\checkmark}\)

Therefore, the correct answer is C
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