Clocks and Calendars
- At what time are the hands of clocks together between 6 and 7?
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According to question , we can say that
Required time = 5 × 6 × 12 minutes past 6 . 11 Required time = 32 8 minutes past 6 . 11 Correct Option: A
According to question , we can say that
Required time = 5 × 6 × 12 minutes past 6 . 11 Required time = 32 8 minutes past 6 . 11
Hence , option A will be required answer .
- January 7, 1992 was Tuesday. Find the day of the week on the same date after 5 years, i.e., on January 7, 1997?
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We can say that ,
During the interval we have two leap years as 1992 and 1996 and it contains February of both these years.
∴ The interval has ( 5 + 2 ) = 7 days = 0 odd day.Correct Option: A
We can say that ,
During the interval we have two leap years as 1992 and 1996 and it contains February of both these years.
∴ The interval has ( 5 + 2 ) = 7 days = 0 odd day.
Hence, January 7, 1997 was also Tuesday.
- Calendar for 2000 will serve for also:
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According to question , we know that
Starting with 2000, count for number of odd days in successive years till the sum is divisible by 7.
2000 + 2001 + 2002 + 2003 + 2004 = 2 + 1 + 1 +1 + 2 = 7 odd days
∴ Number of odd days up to 2004 = 0 odd dayCorrect Option: D
According to question , we know that
Starting with 2000, count for number of odd days in successive years till the sum is divisible by 7.
2000 + 2001 + 2002 + 2003 + 2004 = 2 + 1 + 1 +1 + 2 = 7 odd days
∴ Number of odd days up to 2004 = 0 odd day
Hence , Calendar for 2000 will serve for 2005 also.
- India got independence on August 15, 1947. What was the day of the week?
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As per the given above question , we know that
August 15, 1947 = ( 1600 + 300 + 46 ) years + January 1 to August 15th, of 1947
August 15, 1947 = ( 1600 + 300 + 46 ) years + ( 365 - August 16 to December 31 1947 )
1600 + 300 + 46 ) years
August 15, 1947 = ( 1600 + 300 + 46 ) years + ( 365 - 138 ) days
Now , 1600 years give 0 odd day
300 years give 1 odd day
46 years give 1 odd day
Number of odd days = 0 + 1 + 1 (from 11 leap years and 35 ordinary years) + 3 = 5 odd daysCorrect Option: B
As per the given above question , we know that
August 15, 1947 = ( 1600 + 300 + 46 ) years + January 1 to August 15th, of 1947
August 15, 1947 = ( 1600 + 300 + 46 ) years + ( 365 - August 16 to December 31 1947 )
1600 + 300 + 46 ) years
August 15, 1947 = ( 1600 + 300 + 46 ) years + ( 365 - 138 ) days
Now , 1600 years give 0 odd day
300 years give 1 odd day
46 years give 1 odd day
Number of odd days = 0 + 1 + 1 (from 11 leap years and 35 ordinary years) + 3 = 5 odd days
Hence , The day was Friday.
- After 9’O clock at what time between 9 pm and 10 pm will the hour and minute hands of a clock point in opposite direction?
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According to question , we can say that
At 9 O’clock, the minute hand is 9 × 5 = 45 minutes space behind the hour hand.
Hence, the minute hand will have to gain 45 – 30 = 15 minutes.
Therefore, 60 minutes is equal to the gain of 55 minutes spaces.Hence, gain of 15 minutes spaces equals = 60 x 15 55 Gain of 15 minutes spaces equals = 180 = 16 4 11 11
Correct Option: C
According to question , we can say that
At 9 O’clock, the minute hand is 9 × 5 = 45 minutes space behind the hour hand.
Hence, the minute hand will have to gain 45 – 30 = 15 minutes.
Therefore, 60 minutes is equal to the gain of 55 minutes spaces.Hence, gain of 15 minutes spaces equals = 60 x 15 55
Therefore, hour and minute hands of a clock point in opposite direction afterGain of 15 minutes spaces equals = 180 = 16 4 11 11 9 O’clock at 4 minutes past 9. 11
