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# If f(2a) = 2f(a) and f(6) = 11, what is the value of f(24)?

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
If f(2a) = 2f(a) and f(6) = 11, what is the value of f(24)?  [#permalink]

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30 Jul 2018, 23:17
00:00

Difficulty:

15% (low)

Question Stats:

89% (01:10) correct 11% (02:45) wrong based on 27 sessions

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If $$f(2a) = 2f(a)$$ and $$f(6) = 11$$, what is the value of f(24)?

(A) 22
(B) 24
(C) 44
(D) 66
(E) 88

_________________
Intern
Joined: 20 Mar 2018
Posts: 14
Location: India
Concentration: General Management, Operations
GPA: 3.8
WE: Operations (Manufacturing)
Re: If f(2a) = 2f(a) and f(6) = 11, what is the value of f(24)?  [#permalink]

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30 Jul 2018, 23:27
1
f(2a)=2f(a)
f(24) = 2f(12) = 4f(6) = 4(11) = 44.
Director
Joined: 31 Oct 2013
Posts: 881
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If f(2a) = 2f(a) and f(6) = 11, what is the value of f(24)?  [#permalink]

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30 Jul 2018, 23:37
Bunuel wrote:
If $$f(2a) = 2f(a)$$ and $$f(6) = 11$$, what is the value of f(24)?

(A) 22
(B) 24
(C) 44
(D) 66
(E) 88

Given

$$f(2a) = 2f(a)$$

and

$$f(6) = 11$$

2f(3) = 11

2f = 11/3

So

f(24)

= 2f(12)

= (11/3)*12

= 44

Re: If f(2a) = 2f(a) and f(6) = 11, what is the value of f(24)? &nbs [#permalink] 30 Jul 2018, 23:37
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