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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## It is known that (1.1)^{17} is approximately equal to 5.05. ##### This topic has expert replies Elite Legendary Member Posts: 3030 Joined: 24 Jul 2015 Location: Las Vegas, USA Thanked: 19 times Followed by:36 members ### It is known that (1.1)^{17} is approximately equal to 5.05. by Max@Math Revolution » Wed Jun 12, 2019 12:18 am ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [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 Finish GMAT Quant Section with 10 minutes to spare. The one-and-only World's First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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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
1,1Â¹â�· â‰ˆ 5
(1.1Â¹â�·)Â³ â‰ˆ 5Â³
1.1â�µÂ¹ â‰ˆ 125
Thus:
1.1â�µâ�° = a bit less than 125

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### Solutions

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

(1.1)^50
= (1.1)^(51 - 1)
= (1.1)^51 / (1.1)
= ((1.1)^17)^3 / (1.1)
â‰ˆ 5^3/1.1
= 125/1.1
â‰ˆ 120

Last edited by Max@Math Revolution on Sun Jun 16, 2019 10:02 pm, edited 1 time in total. Math Revolution
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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 â‰ˆ (1.1)^51 = [(1.1)^17]^3

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

[(1.1)^17]^3 â‰ˆ 5^3 = 125

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