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(0.513)(0.488)(0.942)/(0.684)(0.314)(0.183)

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Joined: 09 Apr 2018
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(0.513)(0.488)(0.942)/(0.684)(0.314)(0.183)  [#permalink]

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New post 17 Apr 2018, 20:46
7
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

58% (01:56) correct 42% (01:45) wrong based on 153 sessions

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What is the fastest way to solve this?

\(\frac{(0.513)(0.488)(0.942)}{(0.684)(0.314)(0.183)}\)


a) 4
b) 5
c) 6
d) 7
e) 8
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(0.513)(0.488)(0.942)/(0.684)(0.314)(0.183)  [#permalink]

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New post 17 Apr 2018, 21:11
3
2
pandoraUM wrote:
What is the fastest way to solve this?

\(\frac{(0.513)(0.488)(0.942)}{(0.684)(0.314)(0.183)}\)


a) 4
b) 5
c) 6
d) 7
e) 8


I would like to use approximation of numbers as below:

\(\frac{(0.513)(0.488)(0.942)}{(0.684)(0.314)(0.183)}\)
=\(\frac{(513)(488)(942)}{(684)(314)(183)}\)
apx=\(\frac{(500)(500)(950)}{(700)(300)(190)}\)
apx=\(\frac{(5)(5)(5)}{(7)(3)}\)
apx=\(\frac{(5)(5)(5)}{(7)(3)}\)
apx=\(\frac{(125)}{(21)}\)
apx=6....................(21*6=126)................................Thus Answer c
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Re: (0.513)(0.488)(0.942)/(0.684)(0.314)(0.183)  [#permalink]

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New post 17 Apr 2018, 23:25
3
1
pandoraUM wrote:
What is the fastest way to solve this?

\(\frac{(0.513)(0.488)(0.942)}{(0.684)(0.314)(0.183)}\)


a) 4
b) 5
c) 6
d) 7
e) 8


\(\frac{(0.513)(0.488)(0.942)}{(0.684)(0.314)(0.183)}\) \(=\) \(\frac{(3*0,171)(8*0,061)(3*0,314)}{(4*0,171)(0.314)(3*0,061)}\) \(=\) 6

Answer: C
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Re: (0.513)(0.488)(0.942)/(0.684)(0.314)(0.183)  [#permalink]

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New post 02 May 2018, 06:57
Take approximate values and solve

0.5*0.5*1/(0.7*0.3*0.2)
=125/21
Approx 6
as 21*6=216

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Re: (0.513)(0.488)(0.942)/(0.684)(0.314)(0.183)  [#permalink]

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New post 07 Aug 2019, 18:58
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Re: (0.513)(0.488)(0.942)/(0.684)(0.314)(0.183)   [#permalink] 07 Aug 2019, 18:58
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