GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Aug 2018, 23:55

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Of the following, which is greatest?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 48041
Of the following, which is greatest?  [#permalink]

### Show Tags

05 Jul 2018, 01:48
00:00

Difficulty:

5% (low)

Question Stats:

81% (00:32) correct 19% (00:28) wrong based on 80 sessions

### HideShow timer Statistics

Of the following, which is greatest?

A. $$(\frac{1}{5})^{(−2)}$$

B. $$(\frac{1}{3})^{(−2)}$$

C. $$3^{(−2)}$$

D. $$5^{(−2)}$$

E. $$2^3$$

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 6556
Re: Of the following, which is greatest?  [#permalink]

### Show Tags

05 Jul 2018, 02:13
Bunuel wrote:
Of the following, which is greatest?

A. $$(\frac{1}{5})^{(−2)}$$

B. $$(\frac{1}{3})^{(−2)}$$

C. $$3^{(−2)}$$

D. $$5^{(−2)}$$

E. $$2^3$$

Hi...

When there is a negative power, the numerator and denominator interchange and power becomes positive..

A. $$(\frac{1}{5})^{(−2)}=5^3=25$$

B. $$(\frac{1}{3})^{(−2)}=3^2=9$$

C. $$3^{(−2)}=(1/3)^2=1/9$$

D. $$5^{(−2)}=(1/5)^2=1/25$$

E. $$2^3=8$$

Ans A
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Senior Manager
Joined: 21 Jan 2015
Posts: 343
Location: India
Concentration: Strategy, Marketing
GMAT 1: 620 Q48 V28
WE: Sales (Consumer Products)
Re: Of the following, which is greatest?  [#permalink]

### Show Tags

05 Jul 2018, 02:33
Ans: A
C and D are out of the picture because they will give fraction of 1/n; so it can not be the greatest.
Out of A=25, B=9 and E=8, A is the highest for A= 25.

Bunuel wrote:
Of the following, which is greatest?

A. $$(\frac{1}{5})^{(−2)}$$

B. $$(\frac{1}{3})^{(−2)}$$

C. $$3^{(−2)}$$

D. $$5^{(−2)}$$

E. $$2^3$$

_________________

--------------------------------------------------------------------
The Mind is Everything, What we Think we Become.
Kudos will encourage many others, like me.
Thanks

Senior Manager
Joined: 31 Oct 2013
Posts: 479
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Of the following, which is greatest?  [#permalink]

### Show Tags

05 Jul 2018, 15:39
Bunuel wrote:
Of the following, which is greatest?

A. $$(\frac{1}{5})^{(−2)}$$

B. $$(\frac{1}{3})^{(−2)}$$

C. $$3^{(−2)}$$

D. $$5^{(−2)}$$

E. $$2^3$$

Option A :

$$(\frac{1}{5})^{(−2)}$$

= 1 / (1/ $$5 ^2$$)

= 25.

Thus the best answer is A.
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 1900
Re: Of the following, which is greatest?  [#permalink]

### Show Tags

06 Jul 2018, 02:15

Solution

To find:
• Which is greatest among the given options?

Approach and Working:
• $$(1/5)^{-2}$$ = $$(5^{-1})^{-2}$$= $$5^2$$ = 25
• Similarly, $$(1/3)^{-2} = 3^2$$ = 9
• $$3^{-2} = 1/3^2$$ = 1/9
• Similarly, $$5^{-2}$$ = 1/25
• $$2^3$$ = 8

Hence, the correct answer is option A.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3182
Location: United States (CA)
Re: Of the following, which is greatest?  [#permalink]

### Show Tags

09 Jul 2018, 19:56
Bunuel wrote:
Of the following, which is greatest?

A. $$(\frac{1}{5})^{(−2)}$$

B. $$(\frac{1}{3})^{(−2)}$$

C. $$3^{(−2)}$$

D. $$5^{(−2)}$$

E. $$2^3$$

Simplifying answers A through E, we have:

25, 9, 1/9, 1/25, 8

So, the greatest is A.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: Of the following, which is greatest? &nbs [#permalink] 09 Jul 2018, 19:56
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.