Browse exam-wise, subject-wise, and country-wise MCQs with explanations.
Choose an option to check your answer.
To convert m/s to km/h, multiply by 18/5.
Thus, 20 × 18/5 = 72 km/h.
Choose an option to check your answer.
To convert km/h to m/s, multiply by 5/18.
Thus, 54 × 5/18 = 15 m/s.
Choose an option to check your answer.
Distance equals speed multiplied by time.
Thus, 72 × 2.5 = 180 km.
Choose an option to check your answer.
Speed equals distance divided by time.
Thus, 180 ÷ 3 = 60 km/h.
Choose an option to check your answer.
The leak rate is 1/9 - 1/12 = 1/36 tank per hour.
Thus, the leak alone empties the tank in 36 hours.
Choose an option to check your answer.
If 40% takes 12 days, 10% takes 3 days.
The remaining 60% takes 18 days.
Choose an option to check your answer.
The machine produces 60/5 = 12 units per hour.
In 8 hours it produces 12 × 8 = 96 units.
Choose an option to check your answer.
Let B's rate be 1 unit and A's 3 units, total 4 units.
A alone takes 8 × 4/3 = 32/3 days.
Choose an option to check your answer.
In four days, each works twice.
Completed work is 2/15 + 2/20 = 4/30 + 3/30 = 7/30.
Choose an option to check your answer.
Twenty-four workers complete 1/4 in 10 days, so the remaining 3/4 needs 30 equivalent days at the same workforce.
Only 20 days remain, requiring 36 workers, so 12 extra are needed.
Choose an option to check your answer.
Total work is proportional to workers × hours × days.
So days = 8 × 6 × 15 ÷ (12 × 5) = 12.
Choose an option to check your answer.
A's share is 3 out of 8 total parts.
Thus, A receives 3/8 × 4,800 = Rs. 1,800.
