PI - Cognitive Assessment Numerical Word Problems 2

Question 1

A store offers a 20% discount on a $150 item. An additional 10% loyalty discount is applied to the reduced price. What is the final price?

Accepted Answer

$108.00

Answer

First discount: $150 × 0.80 = $120. Second discount: $120 × 0.90 = $108.00.

Question 2

A train travels 240 miles in 4 hours. A car leaves at the same time and travels at 45 mph. After 4 hours, how much farther has the train traveled than the car?

Accepted Answer

60 miles

Answer

Train speed: 240÷4 = 60 mph. Car distance: 45×4 = 180 miles. Difference: 240-180 = 60 miles.

Question 3

If 8 workers can complete a project in 15 days, how many days would it take 12 workers to complete the same project, assuming equal productivity?

Accepted Answer

10 days

Answer

Total work = 8 × 15 = 120 worker-days. With 12 workers: 120 ÷ 12 = 10 days.

Question 4

A rectangle has a perimeter of 36 cm. If the length is twice the width, what is the area?

Accepted Answer

72 cm²

Answer

Let width = w. Length = 2w. Perimeter: 2(2w + w) = 36, so 6w = 36, w = 6. Length = 12. Area = 12 × 6 = 72 cm².

Question 5

A company's revenue increased from $400,000 to $520,000. What was the percentage increase?

Accepted Answer

30%

Answer

Increase = $520,000 - $400,000 = $120,000. Percentage = ($120,000 / $400,000) × 100 = 30%.

PI - Cognitive Assessment Practice Test

PI - Cognitive Assessment Practice Test

PI - Cognitive Assessment Numerical Word Problems 2