If the distances between each pair of consecutive ticks are

This topic has expert replies
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

Image

If the distances between each pair of consecutive ticks are equal, what is the value of x?

A. 2^{12}
B. 3(2^{10})
C. 5(2^{10})
D. (2^{13})
E. 3(2^{12})

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Wed May 30, 2018 6:00 am
Max@Math Revolution wrote:[GMAT math practice question]

Image

If the distances between each pair of consecutive ticks are equal, what is the value of x?

A. 2^{12}
B. 3(2^{10})
C. 5(2^{10})
D. (2^{13})
E. 3(2^{12})
If the distances between each pair of consecutive ticks are equal, we can write: 2^11 - 2^10 = x - 2^11
We must solve this equation for x....

Add 2^11 to both sides: 2^11 + 2^11 - 2^10 = x
Combine the two 2^11's to get: 2(2^11) - 2^10 = x
Rewrite 2 as 2^1 to get: (2^1)(2^11) - 2^10 = x
Simplify to get: 2^12 - 2^10 = x
Factor our 2^10 to get: 2^10(2^2 - 1) = x
Evaluate to get: 2^10(4 - 1) = x
Simplify to get: 2^10(3) = x

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image

User avatar
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

by GMATGuruNY » Wed May 30, 2018 6:27 am
-
Max@Math Revolution wrote:[GMAT math practice question]

Image

If the distances between each pair of consecutive ticks are equal, what is the value of x?

A. 2^{12}
B. 3(2^{10})
C. 5(2^{10})
D. (2^{13})
E. 3(2^{12})
Since the ticks are equally spaced, the difference between x and 2¹¹ is equal to the the difference between 2¹¹ and 2¹�:
x - 2¹¹ = 2¹¹ - 2¹�
x = 2¹¹ + 2¹¹ - 2¹�
x = 2¹�(2 + 2 - 1)
x = 2¹�(3).

The correct answer is B.
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

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1462
Joined: Thu Apr 09, 2015 9:34 am
Location: New York, NY
Thanked: 39 times
Followed by:22 members

by Jeff@TargetTestPrep » Thu May 31, 2018 3:18 pm
Max@Math Revolution wrote:
Image

If the distances between each pair of consecutive ticks are equal, what is the value of x?

A. 2^{12}
B. 3(2^{10})
C. 5(2^{10})
D. (2^{13})
E. 3(2^{12})
The space between each pair of consecutive ticks is 2^11 - 2^10, so x is:

[2^11 + (2^11 - 2^10)]

2^10(2 + 2 - 1) = 2^10 x 3

Answer: B

Jeffrey Miller
Head of GMAT Instruction
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

by Max@Math Revolution » Fri Jun 01, 2018 1:22 am
=>

The distance between each pair of consecutive ticks is 2^11 - 2^10 = 2*2^10 - 2^10 = 2^10.
Thus, x = 2^11 + 2^10 = 2*2^10 + 2^10 = 3(2^10).

Therefore, the answer is B.
Answer: B