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

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Math Expert
Joined: 02 Sep 2009
Posts: 60555
Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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26 Jun 2018, 21:21
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Difficulty:

55% (hard)

Question Stats:

49% (01:10) correct 51% (01:00) wrong based on 129 sessions

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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

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Posts: 40
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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

1/5th of 250 = 50

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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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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

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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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Updated on: 27 Jun 2018, 03:15
1

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.

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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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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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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,
(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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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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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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25 Jul 2018, 00:24
shashankyele wrote:
Bunuel Is this really a +700 level question?

The difficulty level of a question is calculated automatically based on the timer stats from the users which attempted the question. So our stats say that it's 700 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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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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25 Jul 2018, 00:55
shashankyele wrote:
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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Yes and yes.
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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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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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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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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

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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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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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31 Jul 2018, 07:13
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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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
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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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04 Dec 2019, 03:32
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Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc   [#permalink] 04 Dec 2019, 03:32
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