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In a certain alphabet, 12 letters contain a dot and a straig

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

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New post 21 Feb 2014, 08:41
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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, 09:13, edited 2 times in total.
Renamed the topic and edited the question.

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

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New post 21 Feb 2014, 09:21
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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:

Image

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

Answer: A.

Hope it helps.

[Reveal] Spoiler:
Attachment:
Untitled.png
Untitled.png [ 4.6 KiB | Viewed 3308 times ]

_________________

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Kudos [?]: 124651 [1], given: 12079

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

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New post 22 Feb 2014, 02:02
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.

Answer: A.


Hope it helps.



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

Kudos [?]: 24 [0], given: 13

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41698

Kudos [?]: 124651 [0], given: 12079

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

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New post 22 Feb 2014, 03:14
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:
Image
Numbers in black are given and numbers in red are calculated.

Answer: A.


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.
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Resources:
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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

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Kudos [?]: 124651 [0], given: 12079

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Joined: 06 Jun 2014
Posts: 93

Kudos [?]: 80 [0], given: 109

Location: United States
Concentration: Finance, General Management
GMAT 1: 450 Q27 V21
GPA: 3.47
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Re: In a certain alphabet, 12 letters contain a dot and a straig [#permalink]

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New post 12 May 2016, 14:02
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.

Answer: A.

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

Kudos [?]: 80 [0], given: 109

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41698

Kudos [?]: 124651 [0], given: 12079

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

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New post 12 May 2016, 15:19
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.

Answer: A.

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).
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 124651 [0], given: 12079

Re: In a certain alphabet, 12 letters contain a dot and a straig   [#permalink] 12 May 2016, 15:19
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