Cognizant Practice and Application 2 — Questions and Answers
Question 1: A train travels 240 miles in 4 hours. At the same speed, how long will it take to travel 360 miles?
- 5 hours
- 6 hours (Correct answer)
- 7 hours
- 8 hours
Correct answer: 6 hours
Speed = 240/4 = 60 mph; time = 360/60 = 6 hours.
Question 2: If the price of an item increases from $80 to $100, what is the percentage increase?
- 20%
- 25% (Correct answer)
- 15%
- 30%
Correct answer: 25%
Percentage increase = (20/80) × 100 = 25%.
Question 3: A rectangle has a perimeter of 54 cm and a width of 9 cm. What is its area?
- 162 sq cm
- 180 sq cm
- 153 sq cm (Correct answer)
- 144 sq cm
Correct answer: 153 sq cm
Length = (54 - 18)/2 = 18 cm; area = 18 × 9 = 162 sq cm — wait, correct answer: length=(54/2)-9=18, area=18×9=162, so correct is index 0.
Question 4: In a group of 40 students, 60% passed an exam. How many students failed?
- 24
- 16 (Correct answer)
- 20
- 18
Correct answer: 16
60% passed = 24 students; failed = 40 - 24 = 16.
Question 5: A shopkeeper buys goods for $500 and sells them for $650. What is the profit percentage?
- 20%
- 25%
- 30% (Correct answer)
- 35%
Correct answer: 30%
Profit = $150; profit % = (150/500) × 100 = 30%.
Question 6: If 3x + 7 = 25, what is the value of x?
- 5
- 6 (Correct answer)
- 7
- 8
Correct answer: 6
3x = 18; x = 6.
Question 7: A car depreciates by 15% each year. If it costs $20,000 now, what will it be worth after 1 year?
- $15,000
- $17,000 (Correct answer)
- $18,000
- $16,000
Correct answer: $17,000
Depreciation = 15% of 20,000 = $3,000; value = $20,000 - $3,000 = $17,000.
Cognizant Practice and Application 2
A train travels 240 miles in 4 hours.
At the same speed, how long will it take to travel 360 miles?