Clocks and Calendars
- A girl was born on September 6, 1970 which happened to be a Sunday. Her birthday would have fallen again on Sunday in:
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As per the given above question ,we can say that
Odd number of days from September 6, 1970 to September 6, 1981 = 14 daysCorrect Option: C
As per the given above question ,we can say that
Odd number of days from September 6, 1970 to September 6, 1981 = 14 days
Hence, the Sunday will be on September 6, 1981.
- In an ordinary year ‘March’ begin on the same day of the week:
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As we know that ,
In an ordinary year, February has no odd day.
∴ February and March begin on same day of the week.
Also we know that, November and March begin on same day of the week.Correct Option: A
As we know that ,
In an ordinary year, February has no odd day.
∴ February and March begin on same day of the week.
Also we know that, November and March begin on same day of the week.
Hence , required answer will be February and November .
- My watch was 3 minutes slow at 5 pm on Tuesday and it was 5 minutes fast at 11 pm on Wednesday. When did it give correct time?
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We know that ,
Time from 5 pm Tuesday to 11 pm Wednesday = 30 hours
Clock gains 8 minutes in 30 hours∴ It gains 3 minutes in 30 x 3 hours = 11 hours 15 minutes. 8
Correct Option: A
We know that ,
Time from 5 pm Tuesday to 11 pm Wednesday = 30 hours
Clock gains 8 minutes in 30 hours∴ It gains 3 minutes in 30 x 3 hours = 11 hours 15 minutes. 8
∴ Correct time is 11 hours 15 minutes after 5 pm. = 4 : 15 am on Wednesday.
Thus , required correct time is 4 : 15 am on Wednesday.
- The minute hand of a clock is 7 cm long. The area swept by the minute hand in 15 minutes will be:
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We know that ,
The area swept by the minute hand = π r2 = 22 × 1 × (7)2 = 155 = 38.5 cm2 4 7 4 4 Correct Option: B
We know that ,
Hence , required answer is 38.5 cm2 .The area swept by the minute hand = π r2 = 22 × 1 × (7)2 = 155 = 38.5 cm2 4 7 4 4
- A clock strikes once at 1 O’clock, twice at 2 O’clock, thrice at 3 O’clock and so on. How many times will it strike in 24 hours?
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As per the given above question , we know that
2 × sum of natural numbers upto n = 2 × n × (n + 1 ) . 2 Number of strike = 2( 1 + 2 + 3 + … … + 12) = 2 x 12 x (12 + 1 ) = 12 x 13 = 156 . 2 Correct Option: C
As per the given above question , we know that
2 × sum of natural numbers upto n = 2 × n × (n + 1 ) . 2 Number of strike = 2( 1 + 2 + 3 + … … + 12) = 2 x 12 x (12 + 1 ) = 12 x 13 = 156 . 2
Thus ,it will strike 156 times in 24 hours .
