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Approximately 2.5 percent of the total volume of water on Earth is in the form of freshwater. Of this freshwater,...

GMAT Two Part Analysis : (TPA) Questions

Source: Official Guide
Two Part Analysis
Quant - Core
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Approximately 2.5 percent of the total volume of water on Earth is in the form of freshwater. Of this freshwater, approximately 70 percent is in the form of surface water in rivers, lakes, ice, and permanent snow. The remaining 30 percent is stored underground in the form of groundwater.

Select for % of total volume of water represented by surface water the approximate percent of Earth's total water volume represented by freshwater in the form of surface water, and select for % of total volume of water represented by groundwater the approximate percentage of Earth's total water volume represented by groundwater, according to the information provided. Make only two selections, one in each column.

% of total volume of water represented by surface water
% of total volume of water represented by groundwater

0.75

1.75

2.5

3

5.5

Solution

Phase 1: Owning the Dataset

Visualization Selection

This is a percentage breakdown problem, so we'll use a simple flow diagram to show how the total water volume is divided:

Total Water on Earth (100%)
    |
    ├── Freshwater (2.5%)
    |        |
    |        ├── Surface Water (70% of freshwater)
    |        └── Groundwater (30% of freshwater)
    |
    └── Other Water (97.5% - saltwater, etc.)

Using Concrete Numbers

Let's make this concrete by assuming Earth has 100 units of total water:

  • Total water: 100 units
  • Freshwater: \(2.5\text{ units }(2.5\% \text{ of } 100)\)
  • Surface water: \(70\% \text{ of } 2.5 = 1.75 \text{ units}\)
  • Groundwater: \(30\% \text{ of } 2.5 = 0.75 \text{ units}\)

Phase 2: Understanding the Question

We need to find:

  1. Statement 1: % of total water volume represented by surface water
  2. Statement 2: % of total water volume represented by groundwater

Key insight: The question asks for percentages of TOTAL water, not percentages of freshwater. We need to calculate what portion of Earth's total water each type represents.

Phase 3: Finding the Answer

Surface Water Calculation

Surface water = 70% of freshwater
Surface water = \(0.70 \times 2.5\% = 1.75\%\) of total water

Groundwater Calculation

Groundwater = 30% of freshwater
Groundwater = \(0.30 \times 2.5\% = 0.75\%\) of total water

Verification

Let's verify our calculations add up correctly:

  • Surface water: 1.75%
  • Groundwater: 0.75%
  • Total freshwater: \(1.75\% + 0.75\% = 2.5\%\)

Phase 4: Solution

Final Answer:

  • Statement 1 (% of total volume represented by surface water): 1.75
  • Statement 2 (% of total volume represented by groundwater): 0.75

Our calculations show that surface water represents 1.75% of Earth's total water volume, while groundwater represents 0.75% of the total.

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