Clocks and calenders: Solved 17 Clocks and calenders Questions and answers section with explanation for various online exam preparation, various interviews, Logical Reasoning Category online test. Category Questions section with detailed description, explanation will help you to master the topic.
Clocks and calenders Questions
1. A person goes out home and returns after sometime. He notices during his absence clock’s minute hand rotates 288°. How much does clock’s hour hand rotate in that duration?
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Correct Ans:24°
Explanation:
In one hour time span, minute hour rotates 360° and hour hand rotates (360°/12) = 30°
So, 360° minute hour rotation equivalent to 30° hour hand rotation.
288° minute hour rotation equivalent to (30 × 288/360) = 24° hour hand rotation.
2. If instead of 365 days, a year was of 400 days and a leap year was of 450 days, then what will be the day on 1st day of year 2031 if 1st day of year 2021 is a Thursday given that a week still has 7 days.
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Correct Ans:Tuesday
Explanation:
10 years = 8 regular years + 2 leap years 10 years = 8*400 + 2*450 days = 3200 + 900 days = 4100 days 4100 days = 4100/7 = 585weeks + 5 days 585 weeks will end on a Thursday 5 additional days will end on Tuesday.
3. A-clock gains five minutes every hour. What will be the angle traversed by the second hand in one minute?
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Correct Ans:390°
Explanation:
Since, A clock gains five minutes every hour
i.e. 65 minutes instead of 60 minutes.
Now, hour hand = 65/60 = 13/12
Therefore, the second hand will traverse = 13/12 * 360°
= 390°
7. A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
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Correct Ans:4 p.m.
Explanation:
Watch gains 5 seconds in 3 minutes or 5 seconds in every 180 seconds
Time passed in correct clock = 180 seconds
Time passed in faulty clock = 185 seconds
Given:
Time passed in faulty clock = 9 hours and 15 minutes = 9*60*60 + 15*60 = 33300 seconds
Time elapsed in the correct clock = (Time passed in correct clock/Time passed in faulty clock) x Overall time passed in faulty clock
=180/185*33300
= 32400 seconds
= 9 hours
Hence the time in correct clock = 7 + 9 hours = 4 o.m.
Alternative solution
Clock gains 5 seconds every 3 minutes = 100 seconds every hour (60 minutes) = 900 seconds every 9 hours = 15 minutes every 9 hours.
Hence when the faulty clock shows 4:15 p.m., the actual clock should show 15 minutes less i.e. 4:00 p.m.
8. It was Thursday on 2nd Jan 1993. What day of the week will be on 15th March 1993?
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Correct Ans:Saturday
Explanation:
Today number of days = 29(Jan) + 28 (Feb) + (15) Mar = 72 days
10 Weeks + 2 days. Thus the given date will fall on two days beyond Thursday, that is Saturday.
9. January 1, 2008 is Tuesday. What day of the week lies on January 1, 2009?
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Correct Ans:Thursday
Explanation:
The year 2008 is a leap year. So it has 2 odd days.
1st day of the year 2008 is Tuesday (given)
So, 1st day of the year 2009 is 2 days beyond Tuesday. So it has to be Thursday.
11. On what dates on April 2001 did Wednesday fall?
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Correct Ans:4th , 11th , 18th , 25th
Explanation:
We shall find the day on 1st April 2001
1st April 2001 = 2000 years + Period from 1.1.2001 to 1.4.2001
Odd days in 1600 years = 0
Odd days in 400 years = 0
Jan, Feb, Mar, April = 31 + 28 + 31 + 1 = 91 days = 0 odd days
On 1st April it is Sunday.
In April, 2001 Wednesday falls on 4th , 11th , 18th and 25th .
14. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
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Correct Ans:Friday
Explanation:
On 31 Dec, 2005 it was Saturday.
Number of Odd days from the year 2006 to the year 2009 = 1 +1+2+1 =5
On 31st Dec 2009 it was Thursday
So, 1st Jan 2010 is Friday
15. The angle between the minute hand and the hour hand of the clock when the time is 4:20 is ?
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Correct Ans:10 Degree
Explanation:
Angle traced by hour hand in 13/3 hrs = (360/12) x (13/3) = 130o.
Angle traced by minute in 20 minutes =(360/12) x (20) = 120o.
Required angle is = 130o – 120o = 10 Degree
17. An accurate clock shows 9 'o' clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 3 'o' clock in the afternoon?
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Correct Ans:180 Degree
Explanation:
Angle traced by the hour hand in 6 hours = (360/12) x 6 = 180 Degree
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