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

 It is currently 16 Oct 2019, 15:00

### 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

# (2^5*5^6)/10000=?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58381

### Show Tags

15 Nov 2016, 09:58
00:00

Difficulty:

5% (low)

Question Stats:

91% (01:09) correct 9% (00:47) wrong based on 84 sessions

### HideShow timer Statistics

(2^5*5^6)/10000=?

A. 0.2
B. 5
C. 25/2
D. 25
E. 50

_________________
Senior Manager
Joined: 06 Jun 2016
Posts: 255
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9

### Show Tags

15 Nov 2016, 10:06
Bunuel wrote:
(2^5*5^6)/10000=?

A. 0.2
B. 5
C. 25/2
D. 25
E. 50

(2^5*5^6)/(2^4*5^4)= 2*5*5 = 50
E
Intern
Joined: 15 Nov 2016
Posts: 3

### Show Tags

15 Nov 2016, 10:26
Bunuel wrote:
(2^5*5^6)/10000=?

A. 0.2
B. 5
C. 25/2
D. 25
E. 50

I did it this way:

2*2*2*2*2*5*5*5*5*5*5/10,000. I then factored out 10,000 step-by-step.
10000=5(2000). Cross off a 5 (5 5s remaining from up top)
2000=2(1000). Cross off a 2 (4 2s remaining from up top)
1000=5(200). Cross off a 5 (4 5s remaining from up top)
200=2(100). Cross off a 2 (3 2s remaining from up top)
100=5(20). Cross off a 5 (3 5s remaining from up top)
20=2(10). Cross off a 2 (2 2s remaining from up top)
10=2(5). Cross of a 2 and a 5. That leaves 2 5s and 1 2 remaining up top.
5*5=25*2=50.
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4782
Location: India
GPA: 3.5

### Show Tags

15 Nov 2016, 11:05
Bunuel wrote:
(2^5*5^6)/10000=?

A. 0.2
B. 5
C. 25/2
D. 25
E. 50

$$\frac{(2^5*5^6)}{10000}$$

Or, $$\frac{(2^5*5^5*5)}{10^4}$$

Or, $$\frac{(10^5*5)}{10^4}$$

Or, $$(10*5)$$ = $$50$$

Hence, answer will be (E) $$50$$
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2816

### Show Tags

16 Nov 2016, 09:11
Bunuel wrote:
(2^5*5^6)/10000=?

A. 0.2
B. 5
C. 25/2
D. 25
E. 50

We can start by breaking 10,000 into prime factors:

10,000 = 100 x 100 = 10 x 10 x 10 x 10 = 2^4 x 5^4

Plugging our prime factors back into the given expression, we have:

(2^5 x 5^6)/(2^4 x 5^4) = 2^1 x 5^2 = 2 x 25 = 50

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
Joined: 09 Sep 2013
Posts: 13209

### Show Tags

22 Oct 2018, 20:16
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: (2^5*5^6)/10000=?   [#permalink] 22 Oct 2018, 20:16
Display posts from previous: Sort by