It is known that (1.1)^{17} is approximately equal to 5.05.

Expert replies

Previous Topic Next Topic

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

by Max@Math Revolution » Wed Jun 12, 2019 12:18 am

Timer

00:00

Your answer

Difficulty–

right wrong

Pick an answer to see how members did

[GMAT math practice question]

It is known that (1.1)^{17} is approximately equal to 5.05. What is the approximate value of (1.1)^{50}?

A. 20
B. 40
C. 80
D. 120
E. 160

Math Revolution

The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]

Source: Beat The GMAT — Problem Solving | Wed Jun 12, 2019 12:18 am

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Wed Jun 12, 2019 2:11 am

Max@Math Revolution wrote:[GMAT math practice question]

It is known that (1.1)^{17} is approximately equal to 5.05. What is the approximate value of (1.1)^{50}?

A. 20
B. 40
C. 80
D. 120
E. 160

1,1¹� ≈ 5
(1.1¹�)³ ≈ 5³
1.1�¹ ≈ 125
Thus:
1.1�� = a bit less than 125

The correct answer is D.

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

Max@Math Revolution: Elite Legendary Member; Posts: 3991; Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members; Location: Las Vegas, USA; Thanked: 19 times

Solutions

by Max@Math Revolution » Thu Jun 13, 2019 10:51 pm

Answer: D

(1.1)^50
= (1.1)^(51 – 1)
= (1.1)^51 / (1.1)
= ((1.1)^17)^3 / (1.1)
≈ 5^3/1.1
= 125/1.1
≈ 120

Therefore, the answer is D.

Last edited by Max@Math Revolution on Sun Jun 16, 2019 10:02 pm, edited 1 time in total.

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Fri Jun 14, 2019 2:41 pm

Max@Math Revolution wrote:[GMAT math practice question]

It is known that (1.1)^{17} is approximately equal to 5.05. What is the approximate value of (1.1)^{50}?

A. 20
B. 40
C. 80
D. 120
E. 160

We see that (1.1)^50 ≈ (1.1)^51 = [(1.1)^17]^3

Since (1.1)^17 ≈ 5.05, we can round it to 5 and we have:

[(1.1)^17]^3 ≈ 5^3 = 125

Therefore, (1.1)^50 ≈ 125. Since 120 is the closest to 125, choice D is the correct answer.

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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

Featured schoolRound 2 closes Jan 7, 2027 54 days left

Chicago Booth

Since 1982, 10 Booth faculty members have received the Nobel Prize in Economic Sciences, more than any other business school.

#3
U.S. News rank: $175,000
Median base salary: 670
Average GMAT Focus: 635
Students in the class

Apply to Booth Visit chicagobooth.edu See the full profile

Photo: Warren LeMay, CC BY-SA 2.0

GMAT Course Reviews

563 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (563 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review