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05 Apr 2018, 08:42
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
59% (02:58) correct
41%
(02:38)
wrong
based on 181
sessions
History
Date
Time
Result
Not Attempted Yet
If F(x+y) = F(x) * F(y)
Given :
F(3) = 729
Find
F(1/2) +F(1) +F(3/2) = ?
A. 13
B. 27
C. 39
D. 52
E. 81
Given :
F(3) = 729
Find
F(1/2) +F(1) +F(3/2) = ?
A. 13
B. 27
C. 39
D. 52
E. 81
05 Apr 2018, 17:19
Kudos
Bookmarks
F(3) = F(3/2 + 3/2) = F(3/2) * F(3/2) = [F(3/2)]^2 = 729 --> F(3/2) = 27
F(3) = F(1 + 1 + 1) = F(1) * F(1) * F(1) = [F(1)]^3 = 729 --> F(1) = 9
F(1) = F(1/2 + 1/2) = F(1/2) * F(1/2) = [F(1/2)]^2 = 9 --> F(1/2) = 3
F(1/2) +F(1) +F(3/2) = 3 + 9 + 27 = 39
Answer: C
F(3) = F(1 + 1 + 1) = F(1) * F(1) * F(1) = [F(1)]^3 = 729 --> F(1) = 9
F(1) = F(1/2 + 1/2) = F(1/2) * F(1/2) = [F(1/2)]^2 = 9 --> F(1/2) = 3
F(1/2) +F(1) +F(3/2) = 3 + 9 + 27 = 39
Answer: C
05 Apr 2018, 08:58
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IMO C.
Nice tricky Q.
F(3/2) = F(1 + 1/2) = F(1)*F(1/2) .. similarly F(1) = F(1/2)*F(1/2)
So question can be restated as ... What is F(1/2) + F(1/2)^2 + F(1/2)^3
Now we need to simplify the given info.
F(3)
= F(1+2) = F(2)*F(1) = F(1)*F(1)*F(1) ...F(2) = F(1+1) = F(1)*F(1)
=729
F(1)^3 = 9^3 (...729)
F(1) = 9
F(1) = F(1/2 +1/2) = F(1/2)^2 =9
F(1/2) = 3. I am discarding the negative roots based on the answer choices... As all are positive !
So..
Question is :
3 + 3^2 + 3^3 = 3 + 9 + 27 = 39.
Hence Option (c) is our answer.
Best,
Gladi
Nice tricky Q.
F(3/2) = F(1 + 1/2) = F(1)*F(1/2) .. similarly F(1) = F(1/2)*F(1/2)
So question can be restated as ... What is F(1/2) + F(1/2)^2 + F(1/2)^3
Now we need to simplify the given info.
F(3)
= F(1+2) = F(2)*F(1) = F(1)*F(1)*F(1) ...F(2) = F(1+1) = F(1)*F(1)
=729
F(1)^3 = 9^3 (...729)
F(1) = 9
F(1) = F(1/2 +1/2) = F(1/2)^2 =9
F(1/2) = 3. I am discarding the negative roots based on the answer choices... As all are positive !
So..
Question is :
3 + 3^2 + 3^3 = 3 + 9 + 27 = 39.
Hence Option (c) is our answer.
Best,
Gladi
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