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What is the quotient when .25% of 600 is divided by .25 of 600?

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What is the quotient when .25% of 600 is divided by .25 of 600?  [#permalink]

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New post 03 Mar 2017, 12:12
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

85% (01:20) correct 15% (00:54) wrong based on 42 sessions

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What is the quotient when .25% of 600 is divided by .25 of 600?

(A) 10
(B) 1
(C) .1
(D) .01
(E) .001

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Re: What is the quotient when .25% of 600 is divided by .25 of 600?  [#permalink]

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New post 03 Mar 2017, 13:55
SajjadAhmad wrote:
What is the quotient when .25% of 600 is divided by .25 of 600?

(A) 10
(B) 1
(C) .1
(D) .01
(E) .001

.25% of 600 => (25/10^4) × 600 ------ (i)
.25 of 600 ==> (25/10^2) × 600 --------(ii)

We are required to calculate (i)/(ii)

{ (25/10^4) × 600 } / { (25/10^2) × 600 }

= 1/100
= 0.01
So the answer is option (D)
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Re: What is the quotient when .25% of 600 is divided by .25 of 600?  [#permalink]

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New post 04 Mar 2017, 09:15
SajjadAhmad wrote:
What is the quotient when .25% of 600 is divided by .25 of 600?

(A) 10
(B) 1
(C) .1
(D) .01
(E) .001


.25% of 600

\(= \frac{0.25}{100}*600\)

\(= 1.5\)

And,

.25 of 600

\(= \frac{1}{4}*600\)

\(= 150\)


Quote:
the quotient when .25% of 600 is divided by .25 of 600?


\(= 1.5/150\)

\(= 0.01\)

Thus, the answer will be (D) 0.01
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Re: What is the quotient when .25% of 600 is divided by .25 of 600?  [#permalink]

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New post 06 Mar 2017, 12:57
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Hi SajjadAhmad,

This question is ultimately about 'decimal shifts', so if you recognize the concepts involved then you don't actually have to do too much math to get to the answer.

To start, since we're dealing with multiplication and division, the "600"s are irrelevant; they could be replaced with any number or even the variable X....If we did that, we would end up with...

(.25%)(X) / (.25)(X)

The X's cancel out, leaving us with...

(.25%)/(.25) =
.0025/.25 =
25/2500 =
1/100 =
.01

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Re: What is the quotient when .25% of 600 is divided by .25 of 600? &nbs [#permalink] 06 Mar 2017, 12:57
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