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CAT 1999 — DILR Question 41

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Passage / Data

Directions: Answer the questions based on the following information.
The table below presents data on percentage population covered by drinking water and sanitation facilities in selected Asian countries.

​​​​​​​

Country A is said to dominate B or A > B if A has higher percentage in total coverage for both drinking water and sanitation facilities, and, B is said to be dominated by A, or B < A.
A country is said to be on the coverage frontier if no other country dominates it. Similarly, a country is not on the coverage frontier if it is dominated by at least one other country.

Using only the data presented under ‘sanitation facilities’ columns, it can be concluded that rural population in India, as a percentage of its total population is approximately

Answer & solution

Correct answer: 73

  • A

    76

  • B

    70

  • 73

  • D

    Cannot be determined

Solution

Let the urban population be x and rural population be y.
From the sanitation column, we have
0.7x + 0.14y = 0.29(x + y)
0.41x = 0.15y
∴ x = 1541y
∴ Percentage of rural population

=yx+y×100=y1541y+y×100=4156×100

= 73.2%

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CAT 1999 DILR Q41: Using only the data presented under &lsquo;sanitation facilities&rsquo; columns, it can be concluded that rura — Solution | TheCATExam