- Cognitive Assessment Numerical Word Problems Flashcards

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?

Answer: $108.00

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

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?

Answer: 60 miles

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

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?

Answer: 10 days

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

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

Answer: 72 cm²

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

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

Answer: 30%

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

A tank is filled by Pipe A in 6 hours and by Pipe B in 4 hours. If both pipes are open simultaneously, how long does it take to fill the tank?

Answer: 2.4 hours

Rate A = 1/6 per hour, Rate B = 1/4 per hour. Combined: 1/6 + 1/4 = 5/12. Time = 12/5 = 2.4 hours.