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10 Nov 2023, 03:20
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
65% (01:42) correct
35%
(01:57)
wrong
based on 953
sessions
History
Date
Time
Result
Not Attempted Yet
Let \(A=2^{50}\), \(B=3^{30}\), and \(C=5^{20}\). Which of the following is true?
A. A < B < C
B. A < C < B
C. C < A < B
D. B < C < A
E. C < B < A
A. A < B < C
B. A < C < B
C. C < A < B
D. B < C < A
E. C < B < A
Bunuel
Update OA is E. In the image I mistakenly written 3^3 is 9 but It would be 27. So please read it as 27
Easiest way to solve these type of questions is to find common in the power and make all the power common to all of them like below
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10 Nov 2023, 03:45
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2^50 can be reduced to (2^5)^10, 3^30 can be reduced to (3^3)^10, and 5^20 can be reduced to (5^2)^10, so we get 32^10, 27^10, and 25^10, so the answer is D.
