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?
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.
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.
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:
Correct Ans:4 p.m.
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
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
= 32400 seconds
= 9 hours
Hence the time in correct clock = 7 + 9 hours = 4 o.m.
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.
11. On what dates on April 2001 did Wednesday fall?
Correct Ans:4th , 11th , 18th , 25th
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 .
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