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If the population of a certain country is 120,256,000 and its land are

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If the population of a certain country is 120,256,000 and its land are  [#permalink]

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New post 11 Feb 2017, 08:56
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A
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D
E

Difficulty:

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Question Stats:

76% (00:57) correct 24% (01:08) wrong based on 90 sessions

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Source: GMAT Quant CAT

If the population of a certain country is 120,256,000 and its land area is 2,998,000
square kilometers, then the population per square kilometer is closest to which of the
following?

A. 4
B. 6
C. 20
D. 40
E. 60

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Re: If the population of a certain country is 120,256,000 and its land are  [#permalink]

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New post 11 Feb 2017, 09:11
SajjadAhmad wrote:
Source: GMAT Quant CAT

If the population of a certain country is 120,256,000 and its land area is 2,998,000
square kilometers, then the population per square kilometer is closest to which of the
following?

A. 4
B. 6
C. 20
D. 40
E. 60



population per square kilometer= 120,256,000/2,998,000 =120256 / 2998 =~ 120000/3000= 40 (round up both num. & denominator)

Ans D
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Re: If the population of a certain country is 120,256,000 and its land are  [#permalink]

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New post 11 Feb 2017, 10:50
SajjadAhmad wrote:
Source: GMAT Quant CAT

If the population of a certain country is 120,256,000 and its land area is 2,998,000
square kilometers, then the population per square kilometer is closest to which of the
following?

A. 4
B. 6
C. 20
D. 40
E. 60


\(\frac{120,256,000}{2,998,000}\)

~ \(\frac{120,000,000}{3,000,000}\)

\(= \frac{120}{3}\)

\(= 40\)

Hence, answer will be (D) 40

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Re: If the population of a certain country is 120,256,000 and its land are  [#permalink]

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New post 03 Jul 2017, 08:24
population per square kilometer is defined as total population / total area

\(\frac{population}{sq.km}\) = \(\frac{120256000}{2998000}\)

= \(\frac{120000000}{3000000}\)

= 40

Correct Answer - D


P.S. - population per square kilometer can also be defined as population density
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If the population of a certain country is 120,256,000 and its land are  [#permalink]

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New post 05 Jul 2017, 05:48
SajjadAhmad wrote:
Source: GMAT Quant CAT

If the population of a certain country is 120,256,000 and its land area is 2,998,000
square kilometers, then the population per square kilometer is closest to which of the
following?

A. 4
B. 6
C. 20
D. 40
E. 60

The question uses "closest to" and the answer choices' values are wide apart (except A and B**).

So I rounded numbers and used scientific notation to avoid complex long division.

\(\frac{120 * 10^6}{3 * 10^6}\) =

\(40 * 10^{6-6}\) =

\(40 * 10^0\), or \(40 * 1 =\)

\(40\)

Answer D

**Even 4 and 6 are far apart with this dividend and divisor. 256,000 is ~\(\frac{1}{4}\) of one million. It has negligible effect when dealing, as here, with more than 100 million.
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Re: If the population of a certain country is 120,256,000 and its land are  [#permalink]

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New post 05 Jul 2017, 06:56
120,256/2,998 = ~ 120,000/3,000 = 120/3 = 40. Ans - D.
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Re: If the population of a certain country is 120,256,000 and its land are  [#permalink]

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