Clocks and calendars

2014 · Q12

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) will the two hands be again lying one above the other?

1. (a)60
2. (b)62
3. (c)65UPSC key
4. (d)67

2014 · Q76

If the 3ʳᵈ day of a month is Monday, which one of the following will be the fifth day from 21ˢᵗ of this month?

1. (a)Monday
2. (b)Tuesday
3. (c)WednesdayUPSC key
4. (d)Friday

2015 · Q68

Between 6 PM and 7 PM the minute hand of a clock will be ahead of the hour hand by 3 minutes at

1. (a)6: 15 PM
2. (b)6: 18 PM
3. (c)6: 36 PMUPSC key
4. (d)6: 48 PM

2017 · Q11

If second and fourth Saturdays and all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year?

1. (a)23
2. (b)22UPSC key
3. (c)21
4. (d)20

2017 · Q31

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?

1. (a)The two watches show the identical time again on completion of 30 days.
2. (b)The two watches show the identical time again on completion of 90 days.
3. (c)The two watches show the identical time again on completion of 120 days.
4. (d)None of the above statements is correct.UPSC key

2019 · Q12

Mr 'X' has three children. The birthday of the first child falls on the 5ᵗʰ Monday of April, that of the second one falls on the 5ᵗʰ Thursday of November. On which day is the birthday of his third child, which falls on 20ᵗʰ December?

1. (a)Monday
2. (b)ThursdayUPSC key
3. (c)Saturday
4. (d)Sunday

2019 · Q49

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?

1. (a)5:36 p.m.UPSC key
2. (b)5:30 p.m.
3. (c)5:24 p.m.
4. (d)5:18 p.m.

2019 · Q59

Which year has the same calendar as that of 2009?

1. (a)2018
2. (b)2017
3. (c)2016
4. (d)2015UPSC key

2020 · Q20

If in a particular year 12th January is a Sunday, then which one of the following is correct?

1. (a)15th July is a Sunday if the year is a leap year.
2. (b)15th July is a Sunday if the year is not a leap year.
3. (c)12th July is a Sunday if the year is a leap year.UPSC key
4. (d)12th July is not a Sunday if the year is a leap year.

2021 · Q48

Which day is 10ᵗʰ October, 2027?

1. (a)SundayUPSC key
2. (b)Monday
3. (c)Tuesday
4. (d)Saturday

2021 · Q57

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?

1. (a)At 7:00 hours
2. (b)Between 7:00 hours and 7:05 hours
3. (c)At 7:05 hours
4. (d)Between 7:05 hours and 7:10 hoursUPSC key

2022 · Q7

Which date of June 2099 among the following is Sunday?

1. (a)4
2. (b)5
3. (c)6
4. (d)7UPSC key

2022 · Q68

Consider the following statements:

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?

1. (a)1 only
2. (b)2 only
3. (c)Both 1 and 2UPSC key
4. (d)Neither 1 nor 2

2023 · Q49

If today is Sunday, then which day is it exactly on $10^{10}$ th day?

1. (a)WednesdayUPSC key
2. (b)Thursday
3. (c)Friday
4. (d)Saturday

2024 · Q37

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)?

1. (a)3 timesUPSC key
2. (b)4 times
3. (c)5 times
4. (d)6 times

2024 · Q38

The calendar for the year 2025 is same for

1. (a)2029
2. (b)2030
3. (c)2031UPSC key
4. (d)2033

2024 · Q40

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

1. (a)12·5°
2. (b)15°
3. (c)17·5°UPSC key
4. (d)20°