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How many of the 60 cars sold last month by a certain dealer

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How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo?

(1) Of the 60 cars sold, 20 had a stereo but not power windows.
(2) Of the 60 cars sold, 30 had both power windows and a stereo.
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How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo?

Given: 60={Windows}+{Stereo}-{Both}+{Neither}.
Question: {Neither}=?

(1) Of the 60 cars sold, 20 had a stereo but not power windows --> {Stereo}-{Both}=20 --> 60={Windows}+20+{Neither}. Not sufficient.

(2) Of the 60 cars sold, 30 had both power windows and a stereo --> {Both}=30. Not sufficient.

(1)+(2) We can find how many had stereo, but we still cannot get how many had neither power windows nor a stereo. Not sufficient.

Answer: E.
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Re: How many of the 60 cars sold last month by a certain dealer [#permalink]

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New post 14 Dec 2012, 08:22
Hi all. I am new to GmatClub and this is my first post ever. I just started preparations for the exams last week and I am targeting end-April for the exams. I seem to be able to get most of the questions on DS and Maths right without using elaborate equations and now I am worried. I have never liked equations plus English is my third language.

Must I learn to use all these esoteric equations to do well in Gmat? Call me crazy but my target is 770.

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Re: How many of the 60 cars sold last month by a certain dealer [#permalink]

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Re: How many of the 60 cars sold last month by a certain dealer [#permalink]

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knightofdelta wrote:
Hi all. I am new to GmatClub and this is my first post ever. I just started preparations for the exams last week and I am targeting end-April for the exams. I seem to be able to get most of the questions on DS and Maths right without using elaborate equations and now I am worried. I have never liked equations plus English is my third language.

Must I learn to use all these esoteric equations to do well in Gmat? Call me crazy but my target is 770.

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if you think right away that gmat need somehing of esoteric to solve......I think is wrong.

reasoning has nothing to do with the arcane ;)
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Re: How many of the 60 cars sold last month by a certain dealer [#permalink]

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New post 14 Dec 2012, 10:17
carcass wrote:
knightofdelta wrote:
Hi all. I am new to GmatClub and this is my first post ever. I just started preparations for the exams last week and I am targeting end-April for the exams. I seem to be able to get most of the questions on DS and Maths right without using elaborate equations and now I am worried. I have never liked equations plus English is my third language.

Must I learn to use all these esoteric equations to do well in Gmat? Call me crazy but my target is 770.



if you think right away that gmat need somehing of esoteric to solve......I think is wrong.

reasoning has nothing to do with the arcane ;)


Thank you.

Now I can breathe easier.
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Re: How many of the 60 cars sold last month by a certain dealer [#permalink]

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New post 30 Apr 2014, 20:53
Bunuel wrote:
How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo?

Given: 60={Windows}+{Stereo}-{Both}+{Neither}.
Question: {Neither}=?

(1) Of the 60 cars sold, 20 had a stereo but not power windows --> {Stereo}-{Both}=20 --> 60={Windows}+20+{Neither}. Not sufficient.

(2) Of the 60 cars sold, 30 had both power windows and a stereo --> {Both}=30. Not sufficient.

(1)+(2) We can find how many had stereo, but we still cannot get how many had neither power windows nor a stereo. Not sufficient.

Answer: E.

I did this question using Venn diagrams rather than equations or matrix, is that a fine approach too considering i was able to solve it under 2 minutes?
Thanks.
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Re: How many of the 60 cars sold last month by a certain dealer [#permalink]

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New post 01 May 2014, 10:02
Expert's post
Dienekes wrote:
Bunuel wrote:
How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo?

Given: 60={Windows}+{Stereo}-{Both}+{Neither}.
Question: {Neither}=?

(1) Of the 60 cars sold, 20 had a stereo but not power windows --> {Stereo}-{Both}=20 --> 60={Windows}+20+{Neither}. Not sufficient.

(2) Of the 60 cars sold, 30 had both power windows and a stereo --> {Both}=30. Not sufficient.

(1)+(2) We can find how many had stereo, but we still cannot get how many had neither power windows nor a stereo. Not sufficient.

Answer: E.

I did this question using Venn diagrams rather than equations or matrix, is that a fine approach too considering i was able to solve it under 2 minutes?
Thanks.


Absolutely. Choose whichever approach suits you best.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: How many of the 60 cars sold last month by a certain dealer [#permalink]

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New post 12 May 2015, 12:06
How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo?

Given: 60={Windows}+{Stereo}-{Both}+{Neither}.
Question: {Neither}=?

(1) Of the 60 cars sold, 20 had a stereo but not power windows --> {Stereo}-{Both}=20 --> 60={Windows}+20+{Neither}. Not sufficient.

(2) Of the 60 cars sold, 30 had both power windows and a stereo --> {Both}=30. Not sufficient.

(1)+(2) We can find how many had stereo, but we still cannot get how many had neither power windows nor a stereo. Not sufficient.

Answer: E.
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Bunuel,
Can we not get the answer if we use Statement 1 & 2?

We know total for Stereo & No Stereo and we know the total for Power Windows and No Power Windows.
By taking the above information.. 30+x + 20 + x = 60 --> x=5 Plug in 5 and you have No Power Windows at 25. Which mean's the cars with No Stereo and Power Window is 5. Am I thinking too much into this question?
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Re: How many of the 60 cars sold last month by a certain dealer [#permalink]

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New post 12 May 2015, 22:40
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roro555 wrote:
How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo?

Given: 60={Windows}+{Stereo}-{Both}+{Neither}.
Question: {Neither}=?

(1) Of the 60 cars sold, 20 had a stereo but not power windows --> {Stereo}-{Both}=20 --> 60={Windows}+20+{Neither}. Not sufficient.

(2) Of the 60 cars sold, 30 had both power windows and a stereo --> {Both}=30. Not sufficient.

(1)+(2) We can find how many had stereo, but we still cannot get how many had neither power windows nor a stereo. Not sufficient.

Answer: E.
_________________


Bunuel,
Can we not get the answer if we use Statement 1 & 2?

We know total for Stereo & No Stereo and we know the total for Power Windows and No Power Windows.
By taking the above information.. 30+x + 20 + x = 60 --> x=5 Plug in 5 and you have No Power Windows at 25. Which mean's the cars with No Stereo and Power Window is 5. Am I thinking too much into this question?


Dear roro555

Please refer to the statement in red above. It is not correct.

To explain why, have represented the information we get from St 1 + 2 in a matrix.

Image

Looking at this table, it's easy to see that

We know the total for Power Windows and No PW only in terms of X, the unknown value we had to find.

From this table, the only thing we can say for sure is that X lies between 0 and 10, inclusive. But since the question had asked us about a unique value of X, and we haven't been able to find one, the correct answer will be Option E.

Hope this helped! :)

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Re: How many of the 60 cars sold last month by a certain dealer [#permalink]

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New post 07 Dec 2015, 09:14
Is the following approach correct???

We know that

T-N = A + B - k

1) 60-N= A+20 (since b-k is given as 20 ) therefore not sufficient

2) 60-N= A+B - 30 ( k=30 is given)
Therefore not sufficient

Combining 1 and 2

60-N= A+50-30 again not sufficient
Therefore answer is E


Is this approach correct?

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Re: How many of the 60 cars sold last month by a certain dealer [#permalink]

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Walkabout wrote:
How many of the 60 cars sold last month by a certain dealer had neither power windows nor a stereo?

(1) Of the 60 cars sold, 20 had a stereo but not power windows.
(2) Of the 60 cars sold, 30 had both power windows and a stereo.


An easy way to solve this problem is to set up a double set matrix. In our matrix we have two main categories: power windows and stereo. More specifically, our table will be labeled with:

1) Power windows (PW)

2) No power windows (No PW)

3) Stereo

4) No stereo

(To save room on our table headings, we will use the abbreviations for some of these categories.)

We are given that a total of 60 cars were sold last month. We are trying to determine how many cars sold had neither power windows nor a stereo.

Let’s fill all this information into a table. Note that each row sums to a row total, and each column sums to a column total. These totals also sum to the grand total, designated by 60 at the bottom right of the table.

Image

We need to determine the value for the question mark in the table.

Statement One Alone:

Of the 60 cars sold, 20 had a stereo but not power windows.

Let’s fill the information from statement one into our matrix.

Image

Statement one does not provide enough information to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

Of the 60 cars sold, 30 had power windows and stereo.

Let’s fill the information from statement two into our matrix.

Image

Statement two is insufficient to answer the question. Eliminate answer choice B.

Statements One and Two Together:

From statements one and two we know that of the 60 cars sold, 20 had a stereo but not power windows and that 30 had power windows and stereo. We can fill all this into our matrix.

Image

We see that we still do not have enough information to determine how many cars sold had neither power windows nor a stereo.

The answer is E.
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Re: How many of the 60 cars sold last month by a certain dealer   [#permalink] 19 May 2016, 08:04
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