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Is 5^(x+2)/25<1 ?

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Is 5^(x+2)/25<1 ? [#permalink] New post 25 Jun 2012, 02:07
Expert's post
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

73% (01:46) correct 26% (00:52) wrong based on 84 sessions
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Re: Is 5^(x+2)/25<1 ? [#permalink] New post 25 Jun 2012, 02:07
Expert's post
SOLUTION

Is \frac{5^{x+2}}{25}<1 ?

Is \frac{5^{x+2}}{25} <1? --> is \frac{5^{x+2}}{5^2}<1? --> is 5^x<1? --> is x<0?

Or: is \frac{5^{x+2}}{25} <1? --> is 5^{x+2}<5^2? --> is x+2<2? --> is x<0?

(1) 5^x < 1 --> x<0. Sufficient.

(2) x < 0. Directly answers the question. Sufficient.

Answer: D.
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Concentration: Entrepreneurship, Sustainability
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Re: Is 5^(x+2)/25<1 ? [#permalink] New post 25 Jun 2012, 07:35
Hi,

Difficulty level: 600

To check, \frac {5^{(x+2)}}{25}<1
or (5^25^x)/25 < 1
or 5^x < 1?

Using (1),
5^x<1. Sufficient.

Using (2),
x < 0
or 5^x < 1. Sufficient.

Answer (D)

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Re: Is 5^(x+2)/25<1 ? [#permalink] New post 29 Jun 2012, 03:43
Expert's post
SOLUTION

Is \frac{5^{x+2}}{25}<1 ?

Is \frac{5^{x+2}}{25} <1? --> is \frac{5^{x+2}}{5^2}<1? --> is 5^x<1? --> is x<0?

Or: is \frac{5^{x+2}}{25} <1? --> is 5^{x+2}<5^2? --> is x+2<2? --> is x<0?

(1) 5^x < 1 --> x<0. Sufficient.

(2) x < 0. Directly answers the question. 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.


What are GMAT Club Tests?
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Re: Is 5^(x+2)/25<1 ?   [#permalink] 29 Jun 2012, 03:43
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