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

Question

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

PS13568

rohit8865 · Answer

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

Ans D

Abhishek009 · Answer

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

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

= \frac{120}{3}

= 40 
 
Hence, answer will be (D) 40

rhine29388 · Answer

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

generis · Answer

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.

TimeTraveller · Answer

120,256/2,998 = ~ 120,000/3,000 = 120/3 = 40. Ans - D.

MHIKER · Answer

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

=\frac{120,000,000}{3,000,000}

=40

The answer is  D

Sajjad1994 · Answer

Take approximate of the values:

\frac{120000000}{3000000}=\frac{120}{3}=40

Answer D

tbhauer · Answer

\frac{population}{km^2}  =  \frac{120256000}{2998000}  = 40.11
Ans=D

BrentGMATPrepNow · Answer

STRATEGY: This question is a great example of why we should always check the answer choices before committing to a specific solution method (see the video below for more on this). 
When we check the answers choices, we see that they are  quite spread apart  (relatively speaking), which means we can use  approximate  values to determine the correct answer.

Population per square kilometer = (total population)/(total area in square kilometers) 
 = 120,256,000/2,998,000 
 ≈ 120,000,000/3,000,000 
 ≈ 120/3 
 ≈ 40

Answer: D

RELATED VIDEO
 https://www.youtube.com/watch?v=8GqcJGUVIk4

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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

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