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Which of the following is equal to 1/5 of the reciprocal of 0.004 perc

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Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 26 Jun 2018, 21:21
1
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

51% (00:54) correct 49% (00:43) wrong based on 130 sessions

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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 26 Jun 2018, 22:28
reciprocal of 0.004 = Recip(4/1000)
= 1000/4
= 250

1/5th of 250 = 50

Answer: B
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 26 Jun 2018, 22:30
Bunuel wrote:
Which of the following is equal to 1/5 of the reciprocal of 0.004 percent?

A. 0.5
B. 50
C. 500
D. 5,000
E. 50,000


As the calculation we're asked to do is relatively straightforward, we'll just do it.
This is a Precise approach.

1/5 * 1/0.004 = 1/(5*0.004) = 1/0.02 = 50/1 = 50

(B) is our answer.
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Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post Updated on: 27 Jun 2018, 03:15

Solution



To find:
    • The value of \(\frac{1}{5}\) of the reciprocal of 0.004 percent

Approach and Working:
    • The value of 0.004 percent = \(\frac{4}{1000}*\frac{1}{100}\)
    • Reciprocal of the value of 0.004 percent = \(\frac{100000}{4}\) = 25000
    • \(\frac{1}{5}\) of the value of the reciprocal of the value of 0.004 percent = \(25000 * \frac{1}{5} = 5000\)

Hence, the correct answer is option D.

Answer: D
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Originally posted by EgmatQuantExpert on 26 Jun 2018, 23:29.
Last edited by EgmatQuantExpert on 27 Jun 2018, 03:15, edited 1 time in total.
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Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post Updated on: 27 Jun 2018, 04:50
Did I miss something?

0.004=4/1000 but 0.004%=4/1000/100

Therefore I came up to answer D
Can someone explain Where I went wrong? I

Originally posted by LevanKhukhunashvili on 27 Jun 2018, 02:46.
Last edited by LevanKhukhunashvili on 27 Jun 2018, 04:50, edited 1 time in total.
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 27 Jun 2018, 03:21
LevanKhukhunashvili wrote:
Did I miss something?

0.004=4/1000 but 0.004%=4/1000/100

Therefore I came up to answer A
Can someone explain Where I went wrong? I


Hey LevanKhukhunashvili,
Your approach is correct.
(4/1000)/100 = \(\frac{4}{100000}\)

Hence, reciprocal = \(\frac{100000}{4}\) = 25000

\(\frac{1}{5}\) of the reciprocal value = \(\frac{1}{5}\) * 25000 = 5000
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 27 Jun 2018, 03:46
Bunuel wrote:
Which of the following is equal to 1/5 of the reciprocal of 0.004 percent?

A. 0.5
B. 50
C. 500
D. 5,000
E. 50,000



Note: 0.004 percent

Given,

0.004 %
=0.004 / 100
= 0.00004

0.00004 = 4 / 100000

Reciprocal of 4 / 100000

= 100000 / 4
=25000

1/5 of 25000
=5000

Thus the best answer is D.
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 25 Jul 2018, 00:22
Bunuel Is this really a +700 level question?
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 25 Jul 2018, 00:24
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 25 Jul 2018, 00:53
Thank you!
Another question, if i may; So as more people get the correct answer, the difficulty level goes down? And is time taken also factored into the difficulty level?
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 25 Jul 2018, 00:55
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 25 Jul 2018, 03:12
Thanks for the patience and time Bunuel!
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 25 Jul 2018, 07:27
Bunuel wrote:
Which of the following is equal to 1/5 of the reciprocal of 0.004 percent?

A. 0.5
B. 50
C. 500
D. 5,000
E. 50,000

\(\frac{1}{5}*\frac{100000}{4}\)

= 5000, Answer must be (D)
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 26 Jul 2018, 16:26
Bunuel wrote:
Which of the following is equal to 1/5 of the reciprocal of 0.004 percent?

A. 0.5
B. 50
C. 500
D. 5,000
E. 50,000



1/5 of the reciprocal of 0.004 percent is:

1/5 x 1/(0.004/100) = 1/5 x 100/0.004 = 100/0.02 = 100/(2/100) = 10,000/2 = 5,000

Answer: D
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 31 Jul 2018, 07:00
Bunuel

as the percent of correct attempts increases or decreases decides the difficulty, at what point should one measure the true difficulty of the question? or is it based on one's individual ability?
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 31 Jul 2018, 07:13
AdityaHongunti wrote:
Bunuel

as the percent of correct attempts increases or decreases decides the difficulty, at what point should one measure the true difficulty of the question? or is it based on one's individual ability?


The difficulty tag shows the level of the question now. If after some time due to the attempts the difficulty changes the tag will change accordingly.
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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New post 01 Aug 2018, 07:42
First lets find the reciprocal of 0.004:

1/(0.004/100) = 1/(4/100,000) = 100,000/4

Now lets multiply by 1/5:

1/5 * 100,000/4 = 20,000 / 4 = 5,000

Option D
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc &nbs [#permalink] 01 Aug 2018, 07:42
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