Clocks and Calendars
- At what time between 5 and 6 O’clock are the hands of a clock 3 minutes apart?
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Given that , H = 5 and M = 3.
Putting above the values in given formula , we get
{ ∴ Taking + ve and - ve sign respectively }∴ 12 (5H ± M) = 12 (5 x 5 ± 3) = 31 5 and 24 11 11 11 = 120 = 10 10 11 11
Correct Option: A
Here, H = 5 and M = 3.
Putting above the values in given formula , we get
{ ∴ Taking + ve and - ve sign respectively }∴ 12 (5H ± M) = 12 (5 x 5 ± 3) = 31 5 and 24 11 11 11 = 120 = 10 10 11 11
∴ The hands will be 3 minutes apart at 315/11 minutes past 5 and 24 minutes past 5 O’clock. Hence , option A will be required answer .
- If 5th March, 1999 was Friday, what day of the week was it on 9th March 2000 ?
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5th March, 1999 is Friday.
Then, 5 March 2000 = Friday + 2 = Sunday
(2000 is leap year and it crosses 29th feb 2000, so 2 is taken as odd day}Correct Option: D
5th March, 1999 is Friday.
Then, 5 March 2000 = Friday + 2 = Sunday
(2000 is leap year and it crosses 29th feb 2000, so 2 is taken as odd day}
∴ 5th March 2000 = Sunday
Then, 9th March 2000 = Thursday.
- January 3, 2007 was Wednesday. What day of the week fell on January 3, 2008 ?
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The year 2007 is an ordinary year, so it has 1 odd day.
3rd day of the year 2007 was Wednesday.
∴ 3rd day of the year 2008 will be one day beyond the Wednesday.Correct Option: C
The year 2007 is an ordinary year, so it has 1 odd day.
3rd day of the year 2007 was Wednesday.
∴ 3rd day of the year 2008 will be one day beyond the Wednesday. Hence, it will be Thursday.
- January 3, 2008 was Friday. What day of the week fell on January 3, 2009 ?
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The year 2008 is a leap year, so it has 2 odd days, 3rd day of the year 2008 was Friday.
∴ 3rd day of the year 2009 will be 2 days beyond the Friday.Correct Option: A
The year 2008 is a leap year, so it has 2 odd days, 3rd day of the year 2008 was Friday.
∴ 3rd day of the year 2009 will be 2 days beyond the Friday.
Hence, the required answer is Sunday.
- If March 2, 1994 was on Wednesday, January 1994 25, was on:
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As per the above given question , we can say that
Number of days from January 25, 1994 to March 2, 1994 is
January + February + March = 6 + 28 + 2 = 36 days = 5 weeks + 1 odd day
∴ Number of odd days = 1
∴ Day on January 25, 1994 is one day before the day on March 2, 1994.
But March 2, 1994 was on Wednesday.Correct Option: C
As per the above given question , we can say that
Number of days from January 25, 1994 to March 2, 1994 is
January + February + March = 6 + 28 + 2 = 36 days = 5 weeks + 1 odd day
∴ Number of odd days = 1
∴ Day on January 25, 1994 is one day before the day on March 2, 1994.
But March 2, 1994 was on Wednesday.
Therefore , January 1994 25 was on Tuesday
