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

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Manager
Joined: 25 Dec 2018
Posts: 146
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86

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09 Feb 2019, 09:07
00:00

Difficulty:

25% (medium)

Question Stats:

86% (01:41) correct 14% (01:46) wrong based on 14 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
Math Expert
Joined: 02 Aug 2009
Posts: 7334

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09 Feb 2019, 09:23
1
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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Director
Joined: 09 Mar 2018
Posts: 909
Location: India

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09 Feb 2019, 09:27
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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If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

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Joined: 18 Aug 2017
Posts: 1770
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

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10 Feb 2019, 04:26
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, 04:26
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