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Math Expert V
Joined: 02 Sep 2009
Posts: 60627
Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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1 00:00

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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Intern  B
Joined: 02 Sep 2015
Posts: 40
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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reciprocal of 0.004 = Recip(4/1000)
= 1000/4
= 250

1/5th of 250 = 50

examPAL Representative P
Joined: 07 Dec 2017
Posts: 1155
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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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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e-GMAT Representative V
Joined: 04 Jan 2015
Posts: 3219
Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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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.
Senior Manager  P
Joined: 13 Feb 2018
Posts: 494
GMAT 1: 640 Q48 V28
Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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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.
e-GMAT Representative V
Joined: 04 Jan 2015
Posts: 3219
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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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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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.
Intern  B
Joined: 02 Jun 2018
Posts: 4
GMAT 1: 740 Q48 V42
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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Bunuel Is this really a +700 level question?
Math Expert V
Joined: 02 Sep 2009
Posts: 60627
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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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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Intern  B
Joined: 02 Jun 2018
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GMAT 1: 740 Q48 V42
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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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?
Math Expert V
Joined: 02 Sep 2009
Posts: 60627
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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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?

________________________
Yes and yes.
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Intern  B
Joined: 02 Jun 2018
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GMAT 1: 740 Q48 V42
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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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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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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Target Test Prep Representative G
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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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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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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?
Math Expert V
Joined: 02 Sep 2009
Posts: 60627
Re: Which of the following is equal to 1/5 of the reciprocal of 0.004 perc  [#permalink]

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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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Intern  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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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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_________________ 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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