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Updated on: 27 Mar 2019, 07:43
Originally posted by anandgoyal on 17 Jul 2016, 20:03.
Last edited by Bunuel on 27 Mar 2019, 07:43, edited 3 times in total.
Last edited by Bunuel on 27 Mar 2019, 07:43, edited 3 times in total.
Renamed the topic and edited the question.
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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:
45%
(medium)
Question Stats:
65% (01:55) correct
35%
(02:02)
wrong
based on 293
sessions
History
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Time
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Not Attempted Yet
\(a = 2^4·5^4\), \(b = 3^4·11^2\), and \(c=2^2·5^6\). Which of the following is true?
A. a > b > c
B. b > a > c
C. b > c > a
D. c > b > a
E. c > a > b
A. a > b > c
B. b > a > c
C. b > c > a
D. c > b > a
E. c > a > b
17 Jul 2016, 21:27
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anandgoyal
It is easy to compare a and c:
\(a = 2^4·5^4 = 2^2 * 5^4 * 4\)
\(c=2^2·5^6 = 2^2 * 5^4 * 25\)
So c > a
Now compare a and b:
a = 16 * 5 * 125 = 80 * 125
b = 3^4·11^2 = 81 * 121
a > b
Answer: c > a > b
(E)
General Discussion
27 Oct 2016, 10:50
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This one isn't too bad doing long hand.
a = 2^4 x 5^4 = 10^4 = 10,000
b = 3^4 x 11^2 = 81 x 121 = 9,801
c = 10^2 x 5^4 = 62,500
c>a>b
E is correct answer.
a = 2^4 x 5^4 = 10^4 = 10,000
b = 3^4 x 11^2 = 81 x 121 = 9,801
c = 10^2 x 5^4 = 62,500
c>a>b
E is correct answer.
