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# Jan and 5 of his friends sold candy bars to raise money for their scho

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Intern
Joined: 24 Nov 2012
Posts: 11
Jan and 5 of his friends sold candy bars to raise money for their scho  [#permalink]

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Updated on: 05 Apr 2019, 00:38
2
1
00:00

Difficulty:

75% (hard)

Question Stats:

42% (02:11) correct 58% (01:47) wrong based on 30 sessions

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Jan and 5 of his friends sold candy bars to raise money for their school trip. Jan sold 20 bars and each of his 5 friends sold at least one bar. Did Jan sell more candy bars than each of at least 3 of his friends?

(1) The median of the number of bars sold by Jan's 5 friends is 18.
(2) The average (arithmetic mean) of the number of bars sold by Jan's 5 friends is 12.

Originally posted by saxenarahul021 on 27 Nov 2012, 01:03.
Last edited by Bunuel on 05 Apr 2019, 00:38, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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Joined: 02 Sep 2009
Posts: 59712
Re: Jan and 5 of his friends sold candy bars to raise money for their scho  [#permalink]

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27 Nov 2012, 06:21
2
Jan and 5 of his friends sold candy bars to raise money for their school trip. Jan sold 20 bars and each of his 5 friends sold at least one bar. Did Jan sell more candy bars than each of at least 3 of his friends?

(1) The median of the number of bars sold by Jan's 5 friends is 18 --> {a, b, 18, c, d}, so at least 3 friends sold less than 20 bars (a, b and 18). Sufficient.

(2) The average (arithmetic mean) of the number of bars sold by Jan's 5 friends is 12 --> total number of bars sold by Jan's 5 friends is 5*12=60. Can there be a case where at least 3 of Jan's friends sold 20 or more bars? No, since in this case the total number of bars sold by his friends would be more than 60 (20+20+20+1+1=62). Sufficient.

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Re: Jan and 5 of his friends sold candy bars to raise money for their scho  [#permalink]

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05 Apr 2019, 00:38
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Re: Jan and 5 of his friends sold candy bars to raise money for their scho   [#permalink] 05 Apr 2019, 00:38
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