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What is the value of r/2 + s/2 ?

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What is the value of r/2 + s/2 ? [#permalink] New post 24 Dec 2013, 02:45
Expert's post
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (01:22) correct 17% (00:28) wrong based on 198 sessions
The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the value of r/2 + s/2 ?

(1) (r + s)/2 = 5
(2) r + s= 10

Data Sufficiency
Question: 2
Category: Arithmetic Operations with rational numbers
Page: 153
Difficulty: 550


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Re: What is the value of r/2 + s/2 ? [#permalink] New post 24 Dec 2013, 02:45
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SOLUTION

What is the value of r/2 + s/2 ?

\(\frac{r}{2}+ \frac{s}{2}=\frac{r + s}{2}\)

(1) (r + s)/2 = 5 --> directly answers the question. Sufficient.

(2) r + s= 10 --> \(\frac{r + s}{2}=\frac{10}{2}=5\). Sufficient.

Answer: D.
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Re: What is the value of r/2 + s/2 ? [#permalink] New post 25 Dec 2013, 09:46
The question can be rephrased as (r+s)/2, since the denominator is the same. So, ultimately we need to find out either r and s individually or (r+s) as a value.
This can be arrived without looking at the statements.
Statement 1 and Statement 2 both give the value of (r+s) alone. So, answer is D.
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Re: What is the value of r/2 + s/2 ? [#permalink] New post 30 Dec 2013, 03:37
Expert's post
What is the value of r/2 + s/2 ?

\(\frac{r}{2}+ \frac{s}{2}=\frac{r + s}{2}\)

(1) (r + s)/2 = 5 --> directly answers the question. Sufficient.

(2) r + s= 10 --> \(\frac{r + s}{2}=\frac{10}{2}=5\). Sufficient.

Answer: D.
_________________

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.


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Re: What is the value of r/2 + s/2 ?   [#permalink] 30 Dec 2013, 03:37
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