Clocks and Calendars Competitive Exams
50 questions · Mathematics
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Question 1 of 50
What time is it 3 hours 20 minutes after 8:45 am?
Explanation8:45 + 3:20 = 12:05.
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Question 2 of 50
What is the angle between the hands of a clock at 6:00?
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Question 3 of 50
If yesterday was Thursday, what day is the day after tomorrow?
ExplanationToday is Friday, tomorrow is Saturday, day after tomorrow is Sunday.
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Question 4 of 50
What is the angle between the hour hand and the minute hand at 3:30?
ExplanationAngle = |30H - 5.5M| = |30 x 3 - 5.5 x 30| = 75°.
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Question 5 of 50
How many days are there in a leap year?
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Question 6 of 50
What is the angle between the hour hand and the minute hand at 2:20?
ExplanationAngle = |30H - 5.5M| = |30 x 2 - 5.5 x 20| = 50°.
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Question 7 of 50
What is the angle between the hour hand and the minute hand at 10:10?
ExplanationAngle = |30H - 5.5M| = |30 x 10 - 5.5 x 10| = 245°; the smaller angle is taken.
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Question 8 of 50
On which day of the week was the Lahore Resolution passed on 23 March 1940?
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Question 9 of 50
At what time between 4 and 5 o'clock do the hands of a clock coincide?
ExplanationHands coincide when 5.5M = 120, so M = 240/11 = 21 9/11 minutes.
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Question 10 of 50
Which day can NOT be the last day of a century?
ExplanationThe last day of a century can only be Monday, Wednesday, Friday or Sunday.
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Question 11 of 50
How many times are the hands of a clock in opposite directions (180°) in 12 hours?
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Question 12 of 50
How long is it from 9:25 am to 1:10 pm?
ExplanationFrom 9:25 to 1:25 is 4 h, minus 15 min = 3 h 45 min.
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Question 13 of 50
How many minutes are there in 2.5 hours?
Explanation2.5 x 60 = 150.
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Question 14 of 50
A clock is set right at 12 noon and loses 3 minutes every hour. What time will it show when the actual time is 12 midnight?
ExplanationIt loses 3 x 12 = 36 minutes in 12 hours: 12:00 - 0:36 = 11:24 pm.
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Question 15 of 50
What is 6:30 pm in the 24-hour clock?
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Question 16 of 50
Through what angle does the minute hand turn in 20 minutes?
ExplanationThe minute hand moves 6° per minute: 20 x 6 = 120°.
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Question 17 of 50
A train leaves at 11:40 pm and arrives at 6:15 am the next day. How long is the journey?
Explanation11:40 pm to 12:00 am is 20 min, then 6 h 15 min: total 6 h 35 min.
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Question 18 of 50
A 30-day month begins on a Sunday. How many Sundays does it have?
ExplanationSundays fall on the 1st, 8th, 15th, 22nd and 29th.
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Question 19 of 50
How many odd days are there in 100 years?
Explanation100 years = 76 ordinary + 24 leap years. Odd days = 76 x 1 + 24 x 2 = 124; 124 ÷ 7 leaves remainder 5.
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Question 20 of 50
What is the angle between the hour hand and the minute hand at 4:40?
ExplanationAngle = |30H - 5.5M| = |30 x 4 - 5.5 x 40| = 100°.
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Question 21 of 50
What is 10 h 15 min - 4 h 40 min?
ExplanationBorrow 1 hour: 9 h 75 min - 4 h 40 min = 5 h 35 min.
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Question 22 of 50
What is the angle between the hour hand and the minute hand at 1:45?
ExplanationAngle = |30H - 5.5M| = |30 x 1 - 5.5 x 45| = 217.5°; the smaller angle is taken.
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Question 23 of 50
How many hours are there in 5 days 3 hours?
Explanation5 x 24 + 3 = 123.
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Question 24 of 50
The calendar of the year 2015 will be the same as the calendar of which year?
ExplanationBoth are non-leap years and start on the same day (Thursday).
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Question 25 of 50
How many times do the hands of a clock coincide in 24 hours?
ExplanationThey coincide 11 times in 12 hours, so 22 times in a day.
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Question 26 of 50
What is the angle between the hour hand and the minute hand at 7:15?
ExplanationAngle = |30H - 5.5M| = |30 x 7 - 5.5 x 15| = 127.5°.
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Question 27 of 50
What is the angle between the hour hand and the minute hand at 12:30?
ExplanationAngle = |30H - 5.5M| = |30 x 12 - 5.5 x 30| = 195°; the smaller angle is taken.
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Question 28 of 50
If 1 January 2024 was a Monday, what day of the week was 1 January 2025?
Explanation2024 is a leap year (366 days = 52 weeks + 2 days), so the day moves forward by 2.
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Question 29 of 50
In a mirror, a clock shows 4:20. What is the actual time?
ExplanationActual time = 11:60 - 4:20 = 7:40.
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Question 30 of 50
A non-leap year has 52 weeks and how many extra days?
Explanation365 = 52 x 7 + 1.
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Question 31 of 50
On which day of the week did Pakistan come into being on 14 August 1947?
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Question 32 of 50
How many odd days are there in 400 years?
Explanation400 years contain a whole number of weeks (146,097 days).
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Question 33 of 50
What time was it 25 minutes before 1:10 pm?
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Question 34 of 50
If 5 March is a Monday, what day is 28 March?
Explanation28 - 5 = 23 days; 23 ÷ 7 leaves 2; Monday + 2 = Wednesday.
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Question 35 of 50
A watch is set right at 6 am and gains 2 minutes every hour. What time will it show when the actual time is 6 pm?
ExplanationIt gains 2 x 12 = 24 minutes in 12 hours.
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Question 36 of 50
What is 15:45 in the 12-hour clock?
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Question 37 of 50
What is the angle between the hour hand and the minute hand at 5:50?
ExplanationAngle = |30H - 5.5M| = |30 x 5 - 5.5 x 50| = 125°.
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Question 38 of 50
How many times are the hands of a clock at right angles in 12 hours?
ExplanationIn 12 hours the hands are at right angles 22 times (44 times in a day).
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Question 39 of 50
Which of these century years is a leap year?
ExplanationA century year is a leap year only if it is divisible by 400.
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Question 40 of 50
What is the angle between the hands of a clock at 4:00?
ExplanationEach hour mark is 30°, so 4 hours = 120°.
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Question 41 of 50
If today is Wednesday, what day will it be after 100 days?
Explanation100 ÷ 7 leaves remainder 2; Wednesday + 2 = Friday.
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Question 42 of 50
Through what angle does the minute hand turn in 1 minute?
Explanation360° ÷ 60 minutes = 6° per minute.
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Question 43 of 50
What is the angle between the hour hand and the minute hand at 8:20?
ExplanationAngle = |30H - 5.5M| = |30 x 8 - 5.5 x 20| = 130°.
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Question 44 of 50
Which of these years is a leap year?
Explanation2100 and 1900 are century years not divisible by 400.
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Question 45 of 50
What is 4 h 50 min + 3 h 25 min?
Explanation50 + 25 = 75 min = 1 h 15 min; 4 + 3 + 1 = 8 h 15 min.
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Question 46 of 50
What is the angle between the hands of a clock at 3:00?
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Question 47 of 50
How many hours are equal to 7200 seconds?
Explanation7200 ÷ 3600 = 2.
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Question 48 of 50
Through what angle does the hour hand turn in 1 minute?
ExplanationIt moves 30° in 60 minutes, so 0.5° per minute.
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Question 49 of 50
Through what angle does the hour hand turn in 2 hours?
ExplanationThe hour hand moves 30° per hour.
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Question 50 of 50
How many minutes are there in 3 hours 45 minutes?
Explanation3 x 60 + 45 = 225.
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