Q1. If a train travels 120 miles in 2 hours, what is its average speed in miles per hour?
Correct: 60 mph
Average speed = Total distance / Total time = 120 miles / 2 hours = 60 miles per hour.
Q2. What is the next number in the sequence: 2, 6, 12, 20, 30, ?
Correct: 42
The differences between consecutive terms are 4, 6, 8, 10, so the next difference is 12. Therefore, 30 + 12 = 42.
Q3. A store offers a 25% discount on an item priced at $80. What is the sale price?
Correct: $60
25% of $80 = 0.25 × 80 = $20. Sale price = $80 - $20 = $60.
Q4. If 5 workers can complete a job in 12 days, how many days will it take 3 workers to complete the same job?
Correct: 20 days
Total work = 5 workers × 12 days = 60 worker-days. For 3 workers: 60 / 3 = 20 days.
Q5. What percentage of 250 is 75?
Correct: 30%
Percentage = (75 / 250) × 100 = 0.3 × 100 = 30%.
Q6. A rectangular garden is 15 meters long and 8 meters wide. What is its perimeter?
Correct: 46 meters
Perimeter of a rectangle = 2(length + width) = 2(15 + 8) = 2 × 23 = 46 meters.
Q7. If x + 7 = 15, what is the value of x?
Correct: 8
Solving for x: x = 15 - 7 = 8.
Q8. A basket contains 18 apples, 12 oranges, and 6 bananas. What fraction of the fruits are oranges?
Correct: 1/3
Total fruits = 18 + 12 + 6 = 36. Oranges = 12. Fraction = 12/36 = 1/3.
Q9. If a clock shows 3:15, what is the angle between the hour and minute hands?
Correct: 7.5 degrees
At 3:15, the minute hand is at 90° (pointing at 3). The hour hand moves 0.5° per minute, so it's at 90° + (15 × 0.5°) = 97.5°. The angle between them is 97.5° - 90° = 7.5°.
Q10. A car uses 8 liters of fuel to travel 96 kilometers. How many kilometers can it travel with 15 liters of fuel?
Correct: 180 km
Fuel efficiency = 96 km / 8 liters = 12 km per liter. With 15 liters: 12 × 15 = 180 km.
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