TOPIC:- Clock

Q1. Assume that

1. The hour and minute hands of a clock move without jerking.

2. The clock shows a time between 8 o'clock and 9 o'clock.

3. The two hands of the clock are one above the other.

After how many minutes (nearest integer) with the two hands will be again lying one above the other? [CSAT 2014]

(a) 60

(b) 62

(c) 65

(d) 67

Q2. Between 6 PM and 7 PM the minute hand of a clock will be ahead of the hour hand by 3 minutes at [CSAT 2015]

(a) 6:15 PM

(b) 6:18 PM

(c) 6:36 PM

(d) 6:48 PM

Q3. A clock strikes once at 1 o'clock, twice at 2 o'clock and thrice at 3 o'clock, and so on. If it takes 12 seconds to strike at 5 o'clock, what is the time taken by it to strike at 10 o'clock? [CSAT 2017]

(a) 20 seconds

(b) 24 seconds

(c) 28 seconds

(d) 30 seconds

Q4. A watch loses 2 minutes in every 24 hours while another watch gains 2 minutes in every 24 hours. At a particular instant, the two watches showed an identical time. Which of the following statements is correct if 24 hour clock is followed? [CSAT 2017]

(a) The two watches show the identical time again on completion of 30 days.

(b) The two watches show the identical time again on completion of 90 days.

(c) The two watches show the identical time again on completion of 120 days.

(d) None of the above statements is correct.

Q5. 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? [CSAT 2019]

(a) 5:36 pm

(b) 5:30 pm

(c) 5:24 pm

(d) 5:18 pm

Q6. 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? [CSAT 2021]

(a) At 7:00 hours.

(b) Between 7:00 hours and 7:05 hours.

(c) At 7:05 hours.

(d) Between 7:05 hours and 7:10 hours.

Q7. Consider the following statements: [CSAT 2022]

1. Between 3:16 p.m. and 3:17 p.m., both hour hand and minute hand coincide.

2. 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?

(a) 1 only

(b) 2 only

(c) Both 1 and 2

(d) Neither 1 nor 2

Q8. How many seconds in total are there in x weeks, x days, x hours, x minutes and x seconds? [CSAT 2022]

(a)  11580x

(b)  11581x

(c)  694860x

(d)  694861x

Q9. What is the angle between the minute hand and hour hand when the clock shows 4:25 hours? [CSAT 2024]

(a) 12.5°

(b) 15°

(c) 17.5°

(d) 20°

Q10. 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)? [CSAT 2024]

(a) 3 times

(b) 4 times

(c) 5 times

(d) 6 times

ANSWER KEY

1. C
2. C
3. B
4. D
5. A
6. D
7. C
8. D
9. C
10. A