In a certain alphabet, 12 letters contain a dot and a straig : GMAT Problem Solving (PS)
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# In a certain alphabet, 12 letters contain a dot and a straig

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Intern
Joined: 04 Aug 2013
Posts: 4
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Kudos [?]: 7 [0], given: 1

In a certain alphabet, 12 letters contain a dot and a straig [#permalink]

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21 Feb 2014, 07:41
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Question Stats:

81% (02:20) correct 19% (00:58) wrong based on 122 sessions

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In a certain alphabet, 12 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?

A. 4
B. 8
C. 14
D. 20
E. 28

Unable to understand the question itself!!!!!!!
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Feb 2014, 08:13, edited 2 times in total.
Renamed the topic and edited the question.
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Posts: 35912
Followers: 6851

Kudos [?]: 90020 [1] , given: 10402

In a certain alphabet, 12 letters contain a dot and a straig [#permalink]

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21 Feb 2014, 08:21
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Expert's post
mhknair wrote:
In a certain alphabet, 12 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?

A. 4
B. 8
C. 14
D. 20
E. 28

Unable to understand the question itself!!!!!!!

Check below matrix and ask if anything is unclear there:

Numbers in black are given and numbers in red are calculated.

Hope it helps.

[Reveal] Spoiler:
Attachment:

Untitled.png [ 4.6 KiB | Viewed 2604 times ]

_________________
Intern
Joined: 10 Apr 2012
Posts: 47
Concentration: Finance
WE: Analyst (Commercial Banking)
Followers: 0

Kudos [?]: 21 [0], given: 13

Re: In a certain alphabet, 12 letters contain a dot and a straig [#permalink]

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22 Feb 2014, 01:02
Bunuel wrote:
mhknair wrote:
In a certain alphabet, 12 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?

A. 4
B. 8
C. 14
D. 20
E. 28

Unable to understand the question itself!!!!!!!

Check below matrix and ask if anything is unclear there:
Attachment:
Untitled.png
Numbers in black are given and numbers in red are calculated.

Hope it helps.

Bunuel. Thanks mate. I did the same matrix above but please explain the "4-0".
Math Expert
Joined: 02 Sep 2009
Posts: 35912
Followers: 6851

Kudos [?]: 90020 [0], given: 10402

Re: In a certain alphabet, 12 letters contain a dot and a straig [#permalink]

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22 Feb 2014, 02:14
Cosmas wrote:
Bunuel wrote:
mhknair wrote:
In a certain alphabet, 12 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?

A. 4
B. 8
C. 14
D. 20
E. 28

Unable to understand the question itself!!!!!!!

Check below matrix and ask if anything is unclear there:

Numbers in black are given and numbers in red are calculated.

Hope it helps.

Bunuel. Thanks mate. I did the same matrix above but please explain the "4-0".

Sure.

We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).

First we find the total # of letters with lines: 12 +24 = 36;
Next, we find the total # of letters without line: 40 - 36 = 4;
Finally, we find the # of letters that contain a dot but do not contain a straight line: 4 - 0 = 4.

Hope it's clear.
_________________
Manager
Joined: 06 Jun 2014
Posts: 93
Location: United States
Concentration: Finance, General Management
GMAT 1: 450 Q27 V21
GPA: 3.47
Followers: 0

Kudos [?]: 39 [0], given: 109

Re: In a certain alphabet, 12 letters contain a dot and a straig [#permalink]

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12 May 2016, 13:02
Bunuel wrote:
mhknair wrote:
In a certain alphabet, 12 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?

A. 4
B. 8
C. 14
D. 20
E. 28

Unable to understand the question itself!!!!!!!

Check below matrix and ask if anything is unclear there:
Attachment:
Untitled.png
Numbers in black are given and numbers in red are calculated.

Hope it helps.

Hi Bunnel, why can't we solve this question using overlapping formula?
Total = Dot + Line - Both
40 = Dot + 24 - 12
28 = Dot
_________________

1) Kaplanprep 450 Q27 V21
2) Manhattan 530 Q35 V28
3) GmatPrep 450 Q33, V19
4) Veritas 460 Q31, V23
5) Veritas 440 Q 30, V21
6) Veritas 500 Q34, V 25
7) Gmat 420 Q27, V23
8) Veritas 520 Q36, V26 2/2
9) Veritas 540 Q37, V28 4/19
10)Manhattan 560 Q40, V28 4/28

Math Expert
Joined: 02 Sep 2009
Posts: 35912
Followers: 6851

Kudos [?]: 90020 [0], given: 10402

Re: In a certain alphabet, 12 letters contain a dot and a straig [#permalink]

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12 May 2016, 14:19
zxcvbnmas wrote:
Bunuel wrote:
mhknair wrote:
In a certain alphabet, 12 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?

A. 4
B. 8
C. 14
D. 20
E. 28

Unable to understand the question itself!!!!!!!

Check below matrix and ask if anything is unclear there:
Attachment:
Untitled.png
Numbers in black are given and numbers in red are calculated.

Hope it helps.

Hi Bunnel, why can't we solve this question using overlapping formula?
Total = Dot + Line - Both
40 = Dot + 24 - 12
28 = Dot

If you read the question and the solution above, you'd see that:
1. The question asks - how many letters contain a dot but do not contain a straight line.
2. Line = 36, not 24 (24 letters contain a straight line but do not contain a dot).
_________________
Re: In a certain alphabet, 12 letters contain a dot and a straig   [#permalink] 12 May 2016, 14:19
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