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# What is 10(1/2 + 1/5 + 1/10)^(-1)?

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
What is 10(1/2 + 1/5 + 1/10)^(-1)?  [#permalink]

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23 Apr 2019, 02:20
00:00

Difficulty:

25% (medium)

Question Stats:

65% (00:49) correct 35% (00:42) wrong based on 20 sessions

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What is $$10(\frac{1}{2}+\frac{1}{5}+\frac{1}{10})^{-1}$$?

(A) 3

(B) 8

(C) $$\frac{25}{2}$$

(D) $$\frac{170}{3}$$

(E) 170

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Joined: 18 Jul 2018
Posts: 897
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: What is 10(1/2 + 1/5 + 1/10)^(-1)?  [#permalink]

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23 Apr 2019, 02:51
LCM of 1/2+1/5+1/10 = 8/10.
As the power of 8/10 is -1.
The fraction can be rewritten as 10/8
Now, 10*10/8 = 25/2

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Re: What is 10(1/2 + 1/5 + 1/10)^(-1)?   [#permalink] 23 Apr 2019, 02:51
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