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# A store sells apples in pack of 6, 9, or 20. By ordering 2 packs of 6

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Intern
Joined: 28 Feb 2018
Posts: 17
Re: A store sells apples in pack of 6, 9, or 20. By ordering 2 packs of 6  [#permalink]

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27 Jul 2019, 06:21
1
6+9*2+20*1=44
6*3+9*3=45
6+20*2=46
6*3+9+20=47

43 is not possible .Hence A
Manager
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Location: India
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Re: A store sells apples in pack of 6, 9, or 20. By ordering 2 packs of 6  [#permalink]

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27 Jul 2019, 07:44
A store sells apples in pack of 6, 9, or 20. By buying 2 packs of 6, you can get 12. But you cannot buy 13 apples, since no combination of 6, 9, and 20 adds up to 13. What is the greatest number of apples that you CANNOT buy in the store?

A. 43
B. 44
C. 45
D. 46
E. 47

Lets start with highest number in the option 47. It can be bought. 1 pack of 20 and 3 packs of 9.
46 cannot be bought - hence answer is D
Director
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Re: A store sells apples in pack of 6, 9, or 20. By ordering 2 packs of 6  [#permalink]

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27 Jul 2019, 07:50
2
A store sells apples in pack of 6, 9, or 20. By buying 2 packs of 6, you can get 12. But you cannot buy 13 apples, since no combination of 6, 9, and 20 adds up to 13. What is the greatest number of apples that you CANNOT buy in the store?

A. 43
B. 44
C. 45
D. 46
E. 47

hence bananas can be of the form 6x or 9x or 20 x or 6 x+9y+20z
here x y and z are >=0
Try out various combinations
6x+9y+20z
47 = 6*0 +9*3+20*1
46 = 6*1 +20*2
45 = 6*0+9*5 + 20*0
44 = 6*4 +20*1+ 9*0
43 .. no combination can not form it
Hence 43 A is the answer
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Intern
Joined: 08 Jul 2019
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Location: United Kingdom
Concentration: Strategy, General Management
GMAT 1: 620 Q46 V38
GPA: 3.51
WE: General Management (Computer Software)
Re: A store sells apples in pack of 6, 9, or 20. By ordering 2 packs of 6  [#permalink]

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27 Jul 2019, 09:15
1
backsolve and get 43
option a
Intern
Joined: 23 May 2019
Posts: 18
GMAT 1: 710 Q50 V37
Re: A store sells apples in pack of 6, 9, or 20. By ordering 2 packs of 6  [#permalink]

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04 Dec 2019, 05:06
Prasannathawait wrote:
we cannot have 43 and 47. 47 is the largest.

E option is not correct as:

47=20*1+9*3
Among the given numbers, only 43 is not possible to be obtained from any combination
Re: A store sells apples in pack of 6, 9, or 20. By ordering 2 packs of 6   [#permalink] 04 Dec 2019, 05:06

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