PI - Cognitive Assessment Cognitive Assessment Numerical Word Problems 1

Question 1

A company's revenue grew from $80,000 to $100,000 over one year. What is the percentage increase in revenue?

Accepted Answer

25%

Answer

Percentage increase = (change / original) × 100 = (20,000 / 80,000) × 100 = 25%.

Question 2

Pipe A fills a tank in 6 hours and Pipe B fills the same tank in 4 hours. If both pipes are opened simultaneously, how long will it take to fill the tank?

Accepted Answer

2 hours 24 minutes

Answer

Combined rate = 1/6 + 1/4 = 2/12 + 3/12 = 5/12 tanks per hour. Time = 12/5 = 2.4 hours = 2 hours 24 minutes.

Question 3

A car purchased for $20,000 depreciates by 15% each year. What is the car's value after 2 years?

Accepted Answer

$14,450

Answer

After year 1: $20,000 × 0.85 = $17,000. After year 2: $17,000 × 0.85 = $14,450. Each year's depreciation applies to the already-reduced value.

Question 4

A triangle has a base of 12 cm and a height of 8 cm. A rectangle has the same area as the triangle. If the rectangle's length is 6 cm, what is its width?

Accepted Answer

8 cm

Answer

Triangle area = ½ × 12 × 8 = 48 cm². Rectangle area = length × width → 48 = 6 × w → w = 8 cm.

Question 5

A store purchases items at $40 each and sells them at a 35% markup. What is the profit earned per item sold?

Accepted Answer

$14

Answer

Markup amount = 35% × $40 = 0.35 × 40 = $14. The store earns $14 profit per item.

PI - Cognitive Assessment Practice Test

PI - Cognitive Assessment Practice Test

PI - Cognitive Assessment Cognitive Assessment Numerical Word Problems 1