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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] New post 21 Feb 2014, 07:41
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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, 08:13, edited 2 times in total.
Renamed the topic and edited the question.
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Re: In a certain alphabet, 12 letters contain a dot and a straig [#permalink] New post 21 Feb 2014, 08:21
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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:
Attachment:
Untitled.png
Untitled.png [ 4.6 KiB | Viewed 738 times ]
Numbers in black are given and numbers in red are calculated.

Answer: A.

Hope it helps.
_________________

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

Answer: A.


Hope it helps.



Bunuel. Thanks mate. I did the same matrix above but please explain the "4-0".
Expert Post
Math Expert
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Joined: 02 Sep 2009
Posts: 23409
Followers: 3613

Kudos [?]: 28927 [0], given: 2871

Re: In a certain alphabet, 12 letters contain a dot and a straig [#permalink] New post 22 Feb 2014, 02:14
Expert's post
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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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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Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: In a certain alphabet, 12 letters contain a dot and a straig   [#permalink] 22 Feb 2014, 02:14
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