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Eight friends buy chocolates such that everyone buys at least one choc

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G
Joined: 25 Dec 2018
Posts: 145
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
Eight friends buy chocolates such that everyone buys at least one choc  [#permalink]

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New post 09 Feb 2019, 10:07
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  15% (low)

Question Stats:

77% (01:39) correct 23% (01:52) wrong based on 52 sessions

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Eight friends buy chocolates such that everyone buys at least one chocolate. If at the most of 3 friends purchased equal number of chocolates and all others purchased a different number of chocolates, what is the minimum number of chocolates they purchased?

A. 15
B. 20
C. 23
D. 25
E. 28
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V
Joined: 02 Aug 2009
Posts: 7960
Re: Eight friends buy chocolates such that everyone buys at least one choc  [#permalink]

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New post 09 Feb 2019, 10:23
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akurathi12 wrote:
Eight friends buy chocolates such that everyone buys at least one chocolate. If at the most of 3 friends purchased equal number of chocolates and all others purchased a different number of chocolates, what is the minimum number of chocolates they purchased?

A. 15
B. 20
C. 23
D. 25
E. 28



We are looking for the MINIMUM total...
Since three can buy sane and rest 5 have different, let us take the least values..
So three of them have 1 each and remaining five have 2,3,4,5,6 respectively..

Total = 3*1+2+3+4+5+6=23

C
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Joined: 09 Mar 2018
Posts: 996
Location: India
Re: Eight friends buy chocolates such that everyone buys at least one choc  [#permalink]

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New post 09 Feb 2019, 10:27
akurathi12 wrote:
Eight friends buy chocolates such that everyone buys at least one chocolate. If at the most of 3 friends purchased equal number of chocolates and all others purchased a different number of chocolates, what is the minimum number of chocolates they purchased?

A. 15
B. 20
C. 23
D. 25
E. 28


KeyWord =
3 friends purchased equal number of chocolates
rest purchased a different number of chocolates,
everyone buys at least one chocolate

a + b +c+d +e + f+ g+h

3h + 2+3+4+5+6
3*1 +20
23

C
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Joined: 18 Aug 2017
Posts: 4999
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Concentration: Sustainability, Marketing
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Re: Eight friends buy chocolates such that everyone buys at least one choc  [#permalink]

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New post 10 Feb 2019, 05:26
akurathi12 wrote:
Eight friends buy chocolates such that everyone buys at least one chocolate. If at the most of 3 friends purchased equal number of chocolates and all others purchased a different number of chocolates, what is the minimum number of chocolates they purchased?

A. 15
B. 20
C. 23
D. 25
E. 28


assume three friends bought 1 chocoloate each = 3
and other bought = 2,3,4,5,6 ; sum = 20
total 23
IMO C
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Re: Eight friends buy chocolates such that everyone buys at least one choc   [#permalink] 10 Feb 2019, 05:26
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Eight friends buy chocolates such that everyone buys at least one choc

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