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Is 3^(a^2/b) < 1?

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Is 3^(a^2/b) < 1? [#permalink] New post 21 Jun 2012, 00:59
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28% (01:50) correct 72% (00:54) wrong based on 98 sessions
Is 3^(a^2/b) < 1?

(1) a<0

(2) b<0


Hi, request your help to please understand the fundamental concept behind this question.
[Reveal] Spoiler: OA
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Re: Is 3^(a^2/b) < 1? [#permalink] New post 21 Jun 2012, 01:17
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Is 3^(a^2/b) < 1?

Notice that 3^{\frac{a^2}{b}} < 1 to hold true, the power of 3 must be less than 0. So, the question basically asks whether \frac{a^2}{b}<0. This will happen if a\neq{0} AND b<0 (if a=0 then \frac{a^2}{b}=0).

(1) a<0. The first condition is satisfied (a\neq{0}) but we don't know about the second one. Not sufficient.

(2) b<0. The second condition is satisfied (b<0) but we don't know about the first one (again if a=0 then \frac{a^2}{b}=0). Not sufficient.

(1)+(2) Both condition are satisfied. Sufficient.

Answer: C.

For more on number theory and exponents check: math-number-theory-88376.html

DS questions on exponents: search.php?search_id=tag&tag_id=39
PS questions on exponents: search.php?search_id=tag&tag_id=60

Tough and tricky DS exponents and roots questions with detailed solutions: tough-and-tricky-exponents-and-roots-questions-125967.html
Tough and tricky PS exponents and roots questions with detailed solutions: tough-and-tricky-exponents-and-roots-questions-125956.html

Hope it helps.
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Manager
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Joined: 27 Apr 2012
Posts: 61
Location: United States
GMAT Date: 06-11-2013
GPA: 3.5
WE: Marketing (Consumer Products)
Followers: 1

Kudos [?]: 10 [0], given: 18

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Re: Is 3^(a^2/b) < 1? [#permalink] New post 21 Jun 2012, 02:10
This is great.Thanks a ton!
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Re: Is 3^(a^2/b) < 1? [#permalink] New post 25 Jun 2013, 03:47
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Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

Theory on Exponents: math-number-theory-88376.html

All DS Exponents questions to practice: search.php?search_id=tag&tag_id=39
All PS Exponents questions to practice: search.php?search_id=tag&tag_id=60

Tough and tricky DS exponents and roots questions with detailed solutions: tough-and-tricky-exponents-and-roots-questions-125967.html
Tough and tricky PS exponents and roots questions with detailed solutions: tough-and-tricky-exponents-and-roots-questions-125956.html

_________________

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: Is 3^(a^2/b) < 1?   [#permalink] 25 Jun 2013, 03:47
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