Clock questions for UPSC Prelims

What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?

How many times the hour hand and the minute hand coincide in a clock between 10:00 a.m. and 2:00 p.m. (same day)?

A man started from home at 14:30 hours and drove to the village, arriving there when the village clock indicated 15:15 hours. After staying for 25 minutes, he drove back by a different route of length 1.25 times the first route at a rate twice as fast, reaching home at 16:00 hours. As compared to the clock at home, the village clock is

Consider the following statements: I. Between 3:16 p.m. and 3:17 p.m., both hour hand and minute hand coincide. II. Between 4:58 p.m. and 4:59 p.m.. both minute hand and second hand coincide. Which of the above statements is/are correct?

How many seconds in total are there in ‘x’ weeks, ‘x’ days, ‘x’ hours, ‘x’ minutes and ‘x’ seconds?

At which one of the following times, do the hour hand and the minute hand of the clock make an angle of 180° with each other?

A wall clock moves 10 minutes fast in every 24 hours. The clock was set right to show the correct time at 8:00 a.m. on Monday. When the clock shows the time 6:00 p.m. on Wednesday, what is the correct time?

A watch loses 2 minutes in every 24 hours while another watch gains 2 minutes, in 24 hours. At a particular instant, the two watches showed an identical time. Which of the following statements is correct if the 24-hour clock is followed?