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# If b is one-fourth of a, then what is the value of a + b/ab ?

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Math Expert
Joined: 02 Sep 2009
Posts: 54410
If b is one-fourth of a, then what is the value of a + b/ab ?  [#permalink]

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10 Apr 2019, 23:20
00:00

Difficulty:

25% (medium)

Question Stats:

100% (00:34) correct 0% (00:00) wrong based on 6 sessions

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If b is one-fourth of a, then what is the value of $$\frac{a + b}{\sqrt{ab}}$$ ?

(A) 1/5
(B) 1/3
(C) 1/2
(D) 3/2
(E) 5/2

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Joined: 01 May 2017
Posts: 82
Location: India
Re: If b is one-fourth of a, then what is the value of a + b/ab ?  [#permalink]

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11 Apr 2019, 00:16
If b is one-fourth of a, then what is the value of $$a+b/\sqrt{ab}$$ ?

(A) 1/5
(B) 1/3
(C) 1/2
(D) 3/2
(E) 5/2

Given, b is one-fourth of a
implies b = a/4

$$a+b/\sqrt{ab}$$ =$$(a+a/4)/ \sqrt{a*a/4}$$ = $$(5*a/4)*(2/a)$$
= 5/2
Option E is correct
Re: If b is one-fourth of a, then what is the value of a + b/ab ?   [#permalink] 11 Apr 2019, 00:16
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