Question : An inspector is 288 metres behind a thief. The inspector runs 42 metres and the thief runs 30 metres in a minute. In how much time will the inspector catch the thief?
Option 1: 24 minutes
Option 2: 19 minutes
Option 3: 21 minutes
Option 4: 20 minutes
Correct Answer: 24 minutes
Solution : The inspector and the thief are running at different speeds. The inspector runs 42 metres per minute, while the thief runs 30 metres per minute. Therefore, the inspector gains on the thief by 42 – 30 = 12 metres per minute The inspector is initially 288 metres behind the thief. $\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{288 \text{ metres}}{12 \text{ metres per minute}} = 24 \text{ minutes}$ Hence, the correct answer is 24 minutes.
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Question : A scooter runs at a speed of 49 km/hr after repair and runs at 42 km/hr before repair. It covers a certain distance in 7 hours after repair. How much time will it take to cover twice the distance before repairing?
Option 1: 8 hours 10 minutes
Option 2: 12 hours 20 minutes
Option 3: 16 hours 20 minutes
Option 4: 18 hours 30 minutes
Question : Find the perimeter of a major sector of a circle of radius 12 metres, whose minor sector subtends an angle of 75° at the centre.
Option 1: $(24 + 5π)$ metres
Option 2: $(24 + 19π)$ metres
Option 3: $(24 – 5π)$ metres
Option 4: $(24 – 19π)$ metres
Question : What is the time difference between Indian Standard Time [IST] and Greenwich Mean Time [GMT]?
Option 1: 7 hours and 30 minutes
Option 2: 6 hours and 30 minutes
Option 3: 5 hours and 30 minutes
Option 4: 4 hours and 30 minutes
Question : A vehicle is going at one-fourth of its usual speed and it takes an extra 45 minutes to reach its destination. It's usual time to cover the same distance is:
Option 1: 15 minutes
Option 2: 10 minutes
Option 3: 30 minutes
Question : Water flows at the rate of 10 meters per minute from a cylindrical pipe 5 mm in diameter. How long does it take to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm?
Option 1: 28 minutes 48 seconds
Option 2: 51 minutes 12 seconds
Option 3: 51 minutes 24 seconds
Option 4: 28 minutes 36 seconds
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