What is the greatest integer x for which $$\frac{24,300,000,000}{2^x}$$ is an integer?
A. 8
B. 9
C. 10
D. 11
E. 12
The OA is A .
How can I find the correct answer? Should I try number by number? Experts, may you help me?
Target Test Prep is 20% off right now!
Use code FLASH20
Available with Beat the GMAT members only code
MORE DETAILS
What is the greatest integer x for which
This topic has expert replies
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
(24,300,000,000)/(2^x)VJesus12 wrote:What is the greatest integer x for which $$\frac{24,300,000,000}{2^x}$$ is an integer?
A. 8
B. 9
C. 10
D. 11
E. 12
The OA is A .
How can I find the correct answer? Should I try number by number? Experts, may you help me?
= (243 * 10�)/(2^x)
= (243 * 2� * 5�)/(2^x).
The values in blue indicate that the greatest possible value for x is 8.
The correct answer is A.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7264
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
VJesus12 wrote:What is the greatest integer x for which $$\frac{24,300,000,000}{2^x}$$ is an integer?
A. 8
B. 9
C. 10
D. 11
E. 12
The OA is A .
How can I find the correct answer? Should I try number by number? Experts, may you help me?
Simplifying the numerator, we have:
243 x 10^8 = 243 x 2^8 x 5^8
Therefore, we see that the maximum value of x is 8.
Answer: A
