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A function f(x) is defined as x * < x >. If < x &g

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A function f(x) is defined as x * < x >. If < x &g

by Max@Math Revolution » Mon Jan 06, 2020 12:38 am
[GMAT math practice question]

A function f(x) is defined as x * < x >. If < x > is the greatest factor of x except x, what is f(500)?

A. 1000
B. 5000
C. 15000
D. 120000
E. 125000
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by Max@Math Revolution » Tue Jan 07, 2020 11:37 pm
=>

All the factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250 and 500.
Thus < 500 > = 250.
Then f(500) = 500*250 = 125000.

Therefore, E is the answer.
Answer: E
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