Target Exam

CUET

Subject

General Aptitude Test

Chapter

Numerical Ability

Topic

Ratio & Proportion

Question:

The ratio of land and water on earth is 1: 2. In the northern hemisphere, the ratio is 2: 3. What is the ratio in the southern hemisphere?

Options:

01:11

02:11

03:11

04:11

Correct Answer:

04:11

Explanation:

Let's assume the total area of the Earth is 300 units.

Since the Earth is divided equally into two halves, each hemisphere has an area of 150 units:

  • Northern Hemisphere = 150 units
  • Southern Hemisphere = 150 units

The total Earth ratio of land to water is $1:2$ (total of 3 parts).

  • Total Land = $\frac{1}{3} \times 300 = 100\text{ units}$
  • Total Water = $\frac{2}{3} \times 300 = 200\text{ units}$

The ratio in the Northern Hemisphere is $2:3$ (total of 5 parts) out of its 150-unit area.

  • Northern Land = $\frac{2}{5} \times 150 = 60\text{ units}$
  • Northern Water = $\frac{3}{5} \times 150 = 90\text{ units}$

Subtract the Northern Hemisphere's amounts from the Earth's totals:

  • Southern Land = $\text{Total Land} - \text{Northern Land} = 100 - 60 = 40\text{ units}$
  • Southern Water = $\text{Total Water} - \text{Northern Water} = 200 - 90 = 110\text{ units}$

The ratio of land to water in the Southern Hemisphere is $40:110$, which simplifies to 4:11.

Therefore, the correct choice is 04:11