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The sum 7/8+1/9 is between

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The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 04:53
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Question Stats:

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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2

Practice Questions
Question: 46
Page: 158
Difficulty: 550


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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 04:53
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SOLUTION:

The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2
________________________________

\frac{7}{8}+\frac{1}{9}=\frac{63}{72}+\frac{8}{72}=\frac{71}{72}.

Now, \frac{71}{72} is less but very close to 1, so the answer is B.

Answer: B.

Else, one can notice that since \frac{1}{9} is less than \frac{1}{8}, thus \frac{7}{8}+\frac{1}{9} is less than 1. Therefore we can eliminate answer choices C, D, and E. Next, since \frac{7}{8}>\frac{3}{4}=\frac{6}{8}, then answer choice A is also out. So, only answer choice B remains.

Answer: B.
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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 05:24
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7/8 + 1/9 ---> .864+ .11--->.97
Answer B
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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 05:52
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7/8 + 1/9 = 71/72, which is surely between 3/4 to 1.

So the answer choice B.
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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 08:54
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Bunuel wrote:

The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2



taking LCM of denominator, the expression becomes
7/8 + 1/9 = (63+8)/72 = 71/72
This is slightly lesser than 1, which satisfies option B

Hence B
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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 10:45
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Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2

Practice Questions
Question: 46
Page: 158
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!



\frac{7}{8}+\frac{1}{9}<\frac{7}{8}+\frac{1}{8}=1 and \frac{7}{8}+\frac{1}{9}>\frac{6}{8}=\frac{3}{4}.

Hence, Answer C.
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Re: The sum 7/8+1/9 is between [#permalink] New post 24 Sep 2012, 11:44
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LCM ----> 71/72 we can notice that 72/72 is 1 so 71/72 must be a bit less than 1 but is impossible to be under 3/4 (0.75). Must be between 3/4 and 1. So B
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Re: The sum 7/8+1/9 is between [#permalink] New post 28 Sep 2012, 04:25
SOLUTION:

The sum \frac{7}{8}+\frac{1}{9} is between

(A) \frac{1}{2} and \frac{3}{4}

(B) \frac{3}{4} and 1

(C) 1 and 1\frac{1}{4}

(D) 1\frac{1}{4} and 1\frac{1}{2}

(E) 1\frac{1}{2} and 2
________________________________

\frac{7}{8}+\frac{1}{9}=\frac{63}{72}+\frac{8}{72}=\frac{71}{72}.

Now, \frac{71}{72} is less but very close to 1, so the answer is B.

Answer: B.

Else, one can notice that since \frac{1}{9} is less than \frac{1}{8}, thus \frac{7}{8}+\frac{1}{9} is less than 1. Therefore we can eliminate answer choices C, D, and E. Next, since \frac{7}{8}>\frac{3}{4}=\frac{6}{8}, then answer choice A is also out. So, only answer choice B remains.

Answer: B.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

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

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. NEW!!!

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. NEW!!!


What are GMAT Club Tests?
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Re: The sum 7/8+1/9 is between   [#permalink] 28 Sep 2012, 04:25
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