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Which of the following is equal to 1/4 of 0.01 percent ?

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Which of the following is equal to 1/4 of 0.01 percent ?  [#permalink]

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New post 09 May 2018, 01:15
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

56% (00:54) correct 44% (00:41) wrong based on 80 sessions

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Which of the following is equal to 1/4 of 0.01 percent ?  [#permalink]

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New post 09 May 2018, 01:33
Bunuel wrote:
Which of the following is equal to \(\frac{1}{4}\) of \(0.01\) percent?


(A) 0.000025
(B) 0.00025
(C) 0.0025
(D) 0.025
(E) 0.25


we know that 1/4 means 0.25.

it's given that 0.01%= 0.01/100
=(1/100)/100
=1/10000
= 0.0001

now we can calculate the task = 0.25 * 0.0001
= 0.000025

thus option A is the correct answer.
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Re: Which of the following is equal to 1/4 of 0.01 percent ?  [#permalink]

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New post 10 May 2018, 15:29
What is wrong with below logic:

1/4 of 100% = 25
1/4 of 10%. = 2.5
1/4 of 1%. = 0.25
1/4 of 0.1%. = 0.025
1/4 of 0.01%. = 0.0025 which is option C.

I am bit confused if percent plays a role in moving the digit further by 2 decimals? Which gives result option 0.000025 (Option-A)
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Which of the following is equal to 1/4 of 0.01 percent ?  [#permalink]

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New post 10 May 2018, 16:25
Bunuel wrote:
Which of the following is equal to \(\frac{1}{4}\) of \(0.01\) percent?


(A) 0.000025
(B) 0.00025
(C) 0.0025
(D) 0.025
(E) 0.25


To solve this kind of questions one has to master skills of translation words => math

Which of the following is equal to \(\frac{1}{4}\) of \(0.01\)
(wich) X (is equal) = 1/4 (of)* 0.01 (percent) *1/100
x=0.000025
Answer (A)
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Which of the following is equal to 1/4 of 0.01 percent ?  [#permalink]

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New post 10 May 2018, 19:38
praveenbaranwal wrote:
What is wrong with below logic:

1/4 of 100% = 25
1/4 of 10%. = 2.5
1/4 of 1%. = 0.25
1/4 of 0.1%. = 0.025
1/4 of 0.01%. = 0.0025 which is option C.

I am bit confused if percent plays a role in moving the digit further by 2 decimals? Which gives result option 0.000025 (Option-A)

praveenbaranwal , yes, you are a little mixed up about percent here.
Percent means "per 100" --
which means divide by 100 --
move the decimal two places to the left (add zeros).

1/4 of 100% = 25 (incorrect)
Percent is used oddly here.
But 1/4 of 100%?
(1/4 * 100/100)=100/400=1/4=.25
1/4 of 100 percent is 25 PERCENT

1/4 of 100=(1/4*100)=(100/4) = 25
25% of 100 =(25/100 * 100) = 25
.25 of 100 = 25
\(\frac{1}{4} = .25\), and
.25 is the decimal expression for 25%

I think you've just gotten mixed up.

.01 PERCENT = \(\frac{.01}{100}\)
We don't want decimals in the numerator. We multiply by 100/100 to get rid of the decimal
So that fraction becomes
\(\frac{1}{10000}\), which = .00001
1/4 = .25

(0.25)*(0.00001) = .000025

As I said, I think you've just gotten mixed up. It happens. No big deal. The two links below will get you sorted out.

PERCENTS

Fractions, Decimals, and Percents

Hope that helps. :-)
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Re: Which of the following is equal to 1/4 of 0.01 percent ?  [#permalink]

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New post 27 Jan 2019, 12:39
0.01 % = 0.01/100 = 0.0001

\(\frac{0.0001}{4} = .000025\)
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Re: Which of the following is equal to 1/4 of 0.01 percent ?   [#permalink] 27 Jan 2019, 12:39
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Which of the following is equal to 1/4 of 0.01 percent ?

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