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If (x+5)/(1/x + 1/5) = 5, then x =

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If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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New post Updated on: 23 Jul 2019, 06:28
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (00:48) correct 14% (01:55) wrong based on 36 sessions

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Originally posted by Bunuel on 07 Apr 2019, 21:57.
Last edited by SajjadAhmad on 23 Jul 2019, 06:28, edited 1 time in total.
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Re: If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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New post 07 Apr 2019, 22:02
Bunuel wrote:
If \(\frac{(x+5)}{(\frac{1}{x}+\frac{1}{5})}=5\), then x=


A. -5

B. \(\frac{1}{2}\)

C. 1

D. 5

E. 10


(x+5)/[(5+x)/5x]=5
=>5x=5
=>x=1
Option (C)
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Re: If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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New post 07 Apr 2019, 22:26
Other way of solving the above problem is plucking in the value B and D from the answer choice and if you see the answer choices are in increasing order..that is -5<1/2<1<5<10. So always try to answer this type of questions by applying value in the B option and D option. When you apply B option which is 1/2.. you get 5.5/2.2 which is 2.5.... let apply Option D. You get 10/(2/5) which is 25
So answer choices should be between them hence Option C is the answer. Since this not so difficult question you can solve it by traditional method but when it comes to difficult question..inserting answer choices in the questions will be helpful

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Re: If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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New post 08 Apr 2019, 00:01
Bunuel wrote:
If \(\frac{(x+5)}{(\frac{1}{x}+\frac{1}{5})}=5\), then x=


A. -5

B. \(\frac{1}{2}\)

C. 1

D. 5

E. 10


solve expression \(\frac{(x+5)}{(\frac{1}{x}+\frac{1}{5})}=5\)
we get 5x=5
x= 1
IMO C
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Re: If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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New post 09 Apr 2019, 01:19
\(\frac{(x+5)}{(1/x + 1/5)}\) = 5

\(\frac{(x+5)}{(5+x)}\) * 5x = 5

5x= 5
x= 1

Option (C)
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Re: If (x+5)/(1/x + 1/5) = 5, then x =  [#permalink]

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New post 09 Apr 2019, 01:49
Fastest will be to plug values ,

x = 1 , we get LHS = RHS

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Re: If (x+5)/(1/x + 1/5) = 5, then x =   [#permalink] 09 Apr 2019, 01:49
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