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# a function f(n) is defined as 1/n when n is an integer

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Senior Manager
Joined: 17 Oct 2016
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Location: India
Concentration: General Management, Healthcare
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WE: Pharmaceuticals (Health Care)
a function f(n) is defined as 1/n when n is an integer  [#permalink]

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02 Jan 2019, 08:21
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Difficulty:

25% (medium)

Question Stats:

74% (01:28) correct 26% (01:56) wrong based on 31 sessions

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A function f(n) is defined as $$\frac{1}{n}$$ when n is an integer and as 9n when n is a fraction. What is the value of f(f(f(f($$\frac{1}{3^5}$$))))

A. $$\frac{1}{9}$$

B. $$\frac{1}{3}$$

C. 1

D. 3

E. 9

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Re: a function f(n) is defined as 1/n when n is an integer  [#permalink]

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02 Jan 2019, 20:49
A function f(n) is defined as 1/n when n is an integer and is 9n when n is a fraction. What is the value of $$f(f(f(f(1/(3^5)))))$$

$$f(1/3^5) = 9*(1/3^5)$$
= $$1/3^3$$ --------------Since n is fraction

$$f(1/3^3) = 9*(1/3^5)$$
= $$1/3$$

$$f(1/3) = 9*(1/3)$$
= 3
f(3) = 1/3 --------------- since n is an integer f(n) = 1/n

Option B is correct
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Joined: 12 Sep 2015
Posts: 4003
Re: a function f(n) is defined as 1/n when n is an integer  [#permalink]

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03 Jan 2019, 08:14
Top Contributor
I'd probably rephrase the question to read A function f(n) is defined as 1/n when n is an integer and is 9n when n is a non-integer
All integers can be written as fractions (e.g., 3 = 3/1 = 6/2 = 21/7 = . . . )

Cheers,
Brent
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Re: a function f(n) is defined as 1/n when n is an integer   [#permalink] 03 Jan 2019, 08:14
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