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16 Sep 2014, 00:43
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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:
15%
(low)
Question Stats:
80% (01:11) correct
20%
(01:20)
wrong
based on 101
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If \(f(x)\) represents the sum of all distinct prime factors of \(x\), what is the value of \(f(f(600))\)?
A. 1
B. 2
C. 4
D. 5
E. 7
A. 1
B. 2
C. 4
D. 5
E. 7
16 Sep 2014, 00:43
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Official Solution:
If \(f(x)\) represents the sum of all distinct prime factors of \(x\), what is the value of \(f(f(600))\)?
A. 1
B. 2
C. 4
D. 5
E. 7
Given that \(600 = 2^3*3*5^2\), the sum of its distinct prime factors, \(f(600)\), is \(2 + 3 + 5 = 10\).
Given that \(10 = 2*5\), \(f(10) = 2 + 5 = 7\).
Therefore, \(f(f(600)) = f(10)= 7\).
Answer: E
If \(f(x)\) represents the sum of all distinct prime factors of \(x\), what is the value of \(f(f(600))\)?
A. 1
B. 2
C. 4
D. 5
E. 7
Given that \(600 = 2^3*3*5^2\), the sum of its distinct prime factors, \(f(600)\), is \(2 + 3 + 5 = 10\).
Given that \(10 = 2*5\), \(f(10) = 2 + 5 = 7\).
Therefore, \(f(f(600)) = f(10)= 7\).
Answer: E
22 Oct 2023, 03:24
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I've revised the question and solution, incorporating additional details for improved clarity. I trust this makes it more comprehensible.
