Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

1.	The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much a day does the clock gain or lose?
Answer» In a correct clock, the minute hand gains 55 min. spaces over the hour hand in 60 minutes. To be together again, the minute hand must gain 60 minutes over the hour hand. 55 min. are gained in 60 min. 60 min are gained in 60/55 x 60 min =720/11 min. But, they are together after 65 min. Gain in 65 min =720/11-65 =5/11 min. Gain in 24 hours =(5/11 * (60*24)/65) min = 440/43 The clock gains 440/43 minutes in 24 hours.

The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much a day does the clock gain or lose?

Answer»

In a correct clock, the minute hand gains 55 min. spaces over the hour hand in 60 minutes.

To be together again, the minute hand must gain 60 minutes over the hour hand. 55 min. are gained in 60 min.

60 min are gained in 60/55 x 60 min =720/11 min.

But, they are together after 65 min.

Gain in 65 min =720/11-65 =5/11 min.

Gain in 24 hours =(5/11 * (60*24)/65) min = 440/43

The clock gains 440/43 minutes in 24 hours.

Discussion

2.	Find the angle between the hour hand and the minute hand of a clock when 3.25.
Answer» Angle traced by the hour hand in 12 hours = 360° Angle traced by it in three hours 25 min (ie) 41/12 hrs =(36041/1212)° = 1021/2° Angle traced by minute hand in 60 min. = 360°. Angle traced by it in 25 min. = (360 x 25 )/60= 150° Required angle = 1500 – 1021/2°= 47*1/2°

Find the angle between the hour hand and the minute hand of a clock when 3.25.

Answer»

Angle traced by the hour hand in 12 hours = 360°

Angle traced by it in three hours 25 min (ie) 41/12 hrs =(360*41/12*12)° = 102*1/2°

Angle traced by minute hand in 60 min. = 360°.

Angle traced by it in 25 min. = (360 x 25 )/60= 150°

Required angle = 1500 – 102*1/2°= 47*1/2°

Discussion