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# When you buy a wrap from a certain store, you must select at least one

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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When you buy a wrap from a certain store, you must select at least one  [#permalink]

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22 Mar 2018, 17:57
00:00

Difficulty:

15% (low)

Question Stats:

76% (00:56) correct 24% (01:08) wrong based on 61 sessions

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[GMAT math practice question]

When you buy a wrap from a certain store, you must select at least one of the three kinds of meat (beef, pork and fish), and one of lettuce, spinach and cucumber. You can also add one of oriental sauce, spicy mayo and sesame soy sauce. How many kinds of wraps can you buy?

A. 6
B. 9
C. 12
D. 18
E. 27

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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Manager Joined: 28 Jan 2018 Posts: 54 Location: Netherlands Concentration: Finance GMAT 1: 710 Q50 V36 GPA: 3 Re: When you buy a wrap from a certain store, you must select at least one [#permalink] ### Show Tags 22 Mar 2018, 18:09 We got 3 different type of meat, vegetables and sauces, the total amount of combination is: $$3*3*3 = 27$$ (E) Manager Joined: 30 Mar 2017 Posts: 136 GMAT 1: 200 Q1 V1 Re: When you buy a wrap from a certain store, you must select at least one [#permalink] ### Show Tags 24 Mar 2018, 16:04 1 MathRevolution wrote: [GMAT math practice question] When you buy a wrap from a certain store, you must select at least one of the three kinds of meat (beef, pork and fish), and one of lettuce, spinach and cucumber. You can also add one of oriental sauce, spicy mayo and sesame soy sauce. How many kinds of wraps can you buy? A. 6 B. 9 C. 12 D. 18 E. 27 Question says you must select at least one of 3 meats, which means you can select 1 meat or 2 or 3. Question also says that you can (not must) add one sauce, which means you can add 0 sauce or 1 sauce. Number of ways to select 1 meat: 3C3 = 3 Number of ways to select 2 meats: 3C2 = 3 Number of ways to select 3 meats: 3C3 = 1 Total number of ways to select meat = 3+3+1 = 7 Number of ways to select 1 veggie: 3 Number of ways to select 0 sauce OR 1 sauce: 1+3 = 4 # of different wraps = (Total number of ways to select meat) * (Number of ways to select 1 veggie) * (Number of ways to select 0 sauce OR 1 sauce) = 7*3*4=84 Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6390 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: When you buy a wrap from a certain store, you must select at least one [#permalink] ### Show Tags 25 Mar 2018, 18:20 => There are three ways to choose one meat (beef, pork or fish), three ways to choose one vegetable (lettuce, spinach or cucumber), and 3 ways to choose one sauce (oriental sauce, spicy mayo or sesame soy sauce). So, the total number of different wraps that can be bought is 3*3*3 = 27. Therefore, E is the answer. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Senior DS Moderator
Joined: 27 Oct 2017
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Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: When you buy a wrap from a certain store, you must select at least one  [#permalink]

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25 Mar 2018, 19:26
Hi

The ways of selecting sausage shall be - none ,spicy mayo or seasame. Hence 3 ways.

In place of oriental sausage , none should be there in solution provided.

Oriental sausage is a genre of sausage, not the particular sausage itself.

MathRevolution wrote:
=>
There are three ways to choose one meat (beef, pork or fish), three ways to choose one vegetable (lettuce, spinach or cucumber), and 3 ways to choose one sauce (oriental sauce, spicy mayo or sesame soy sauce).
So, the total number of different wraps that can be bought is

3*3*3 = 27.

Posted from my mobile device
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Senior DS Moderator
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Location: India
GPA: 3.64
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Re: When you buy a wrap from a certain store, you must select at least one  [#permalink]

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25 Mar 2018, 20:26
There is flaw in wordings of wuestion.

3 choice for meat
3 for lettuce
4 for sauce (none, or 3 sauce option)

Posted from my mobile device
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Posts: 6973
When you buy a wrap from a certain store, you must select at least one  [#permalink]

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25 Mar 2018, 20:41
MathRevolution wrote:
[GMAT math practice question]

When you buy a wrap from a certain store, you must select at least one of the three kinds of meat (beef, pork and fish), and one of lettuce, spinach and cucumber. You can also add one of oriental sauce, spicy mayo and sesame soy sauce. How many kinds of wraps can you buy?

A. 6
B. 9
C. 12
D. 18
E. 27

Flawed Question..

As per the wordings, there can be two types of wraps..
1) with sauce..3*3*3=27
2) without sauce ...3*3=9
Total 36..
Or
3 meats to be choosen from, and 3 vegetables to be choosen from...(MUST)
There are 3 sauces to be choosen from but it is CAN so 4 ways- none or any of the three..
So 3*3*4=36

So for answer to be 27, either
1) there are only two sauces to choose from
2) CAN should be MUST

Ofcourse other flaws by use of ATLEAST as pointed out in below post by gmatbusters
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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

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Senior DS Moderator
Joined: 27 Oct 2017
Posts: 912
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: When you buy a wrap from a certain store, you must select at least one  [#permalink]

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25 Mar 2018, 20:44
There is one more confusion. It ask for atleast one selection. We need to select 2 or 3 selection also.

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Re: When you buy a wrap from a certain store, you must select at least one &nbs [#permalink] 25 Mar 2018, 20:44
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