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25 May 2020, 05:56
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
65% (01:24) correct
35%
(01:07)
wrong
based on 503
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Which of the following numbers is largest?
A. \(2^{300}\)
B. \(3^{200}\)
C. \(2^{100} + 3^{100}\)
D. \(4^{100}\)
E. \(9^{60}\)
Are You Up For the Challenge: 700 Level Questions
A. \(2^{300}\)
B. \(3^{200}\)
C. \(2^{100} + 3^{100}\)
D. \(4^{100}\)
E. \(9^{60}\)
Are You Up For the Challenge: 700 Level Questions
Shrinkhla21
Joined: 07 Dec 2019
Last visit: 14 Jul 2021
Posts: 52
Given Kudos: 16
Location: India
Concentration: Social Entrepreneurship, Technology
Schools: (A) Babson '22 (A$) Sauder '22 (II)
GMAT 1: 630 Q45 V32
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25 May 2020, 06:07
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The answer is B.
4^100 = 2^ 200. Thus, it is less than option A. So discarded.
Similarly, 9^60 = 3^ 120. It is less than 3^200. So discarded.
We can write option B as 3^200 = 9^100 and option A as 2^300 =8^100. On comparing we find option B to be the largest.
Posted from my mobile device
4^100 = 2^ 200. Thus, it is less than option A. So discarded.
Similarly, 9^60 = 3^ 120. It is less than 3^200. So discarded.
We can write option B as 3^200 = 9^100 and option A as 2^300 =8^100. On comparing we find option B to be the largest.
Posted from my mobile device
25 May 2020, 06:24
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Bunuel
Let's simplify the options to eliminate a few
A. \((2^3)^{100} = 8^{100}\)
B. \((3^2)^{100}= 9^{100}\)
C. \(2^{100} + 3^{100}≈ 3^{100} + 3^{100} ≈ 2*3^{100}\)
D. \(4^{100}\)
E. \(9^{60}\)
Now, the comparison is clear and
Option B is the winner
Answer: Option B
