[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
It is known that (1.1)^{17} is approximately equal to 5.05.
This topic has expert replies
- Max@Math Revolution
- 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
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]
- 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
1,1¹� ≈ 5Max@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�)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
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 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
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.
(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.
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]
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7223
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We see that (1.1)^50 ≈ (1.1)^51 = [(1.1)^17]^3Max@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
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