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

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

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11 Feb 2017, 09:56
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Difficulty:

15% (low)

Question Stats:

76% (00:56) correct 24% (01:08) wrong based on 51 sessions

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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

Source: GMAT Quant CAT
Difficulty Level: 550

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Posts: 998
Re: If the population of a certain country is 120,256,000 and its land are  [#permalink]

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11 Feb 2017, 10:11
1
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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11 Feb 2017, 11:50
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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Senior Manager
Joined: 24 Nov 2015
Posts: 497
Location: United States (LA)
Re: If the population of a certain country is 120,256,000 and its land are  [#permalink]

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03 Jul 2017, 09:24
population per square kilometer is defined as total population / total area

$$\frac{population}{sq.km}$$ = $$\frac{120256000}{2998000}$$

= $$\frac{120000000}{3000000}$$

= 40

P.S. - population per square kilometer can also be defined as population density
Senior SC Moderator
Joined: 22 May 2016
Posts: 2767
Re: If the population of a certain country is 120,256,000 and its land are  [#permalink]

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05 Jul 2017, 06:48
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 $$40 * 1 =$$

$$40$$

**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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Joined: 28 Jun 2015
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Concentration: Finance
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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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05 Jul 2017, 07:56
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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14 Sep 2018, 07:50
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Re: If the population of a certain country is 120,256,000 and its land are   [#permalink] 14 Sep 2018, 07:50
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