Clocks and Calendars
-  January 1, 1992 was a Wednesday, what day of the week will it be on january 1, 1993 ?
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                        View Hint View Answer Discuss in Forum 1992 being a leap year, it has 2 odd days. So, the first day of the year 1993 will be two days beyond Wednesday i.e., it will be Friday. Correct Option: D1992 being a leap year, it has 2 odd days. So, the first day of the year 1993 will be two days beyond Wednesday i.e., it will be Friday. 
-  The first republic day of India was celebrated on 26th January, 1950. it was ?
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                        View Hint View Answer Discuss in Forum 1600 years of 0 odd days and 30 years have 1 odd day. 49 years contain 12 leap years and 37 ordinary years and therefore (24 + 37) odd days i.e., 5 odd days i.e., 1949 years contain (0 + 1 + 5) = 6 odd days. 26 day of January contain 5 days.Total odd days = (6 + 5) = 11 or 4 days. So, the days was Thursday Correct Option: C1600 years of 0 odd days and 30 years have 1 odd day. 49 years contain 12 leap years and 37 ordinary years and therefore (24 + 37) odd days i.e., 5 odd days i.e., 1949 years contain (0 + 1 + 5) = 6 odd days. 26 day of January contain 5 days.Total odd days = (6 + 5) = 11 or 4 days. So, the days was Thursday 
-  Today is 1st August. The day of the week is Monday. This is a leap year. The day of the week on this day after 3 years will be ?
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                        View Hint View Answer Discuss in Forum This being a leap year none of the next 3 year is a leap year. So, the day of the week will be 3 days beyond Monday. Correct Option: BThis being a leap year none of the next 3 year is a leap year. So, the day of the week will be 3 days beyond Monday i.e., it will be Thursday. 
-  At what point of time after 3 O' clock, hour hand and minute hand are at right angles for the first time ?
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                        View Hint View Answer Discuss in Forum Clock will make right angle at (5n + 15) x 12/11 min past n. 
 Given that, n = 3Correct Option: DClock will make right angle at (5n + 15) x 12/11 min past n. 
 Given that, n = 3
 ∴ Clock will make right angle at ( 5 x 3 + 15 ) x 12/11 min past 3 . =30 x 12 / 11 min past 3.
 = 328/11 min
 So required time = 3 H 328/11 min
-  At 6:15, the hour hand and the minute hand of a clock from an angle of ?
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                        View Hint View Answer Discuss in Forum Angle traced by hour hand in 12 h = 360° 
 Angle traced by hour hand in 25/4 h = ( 360/12) x (25/4)° = 187.5°
 Angle traced by minute hand in 60 min = 360°
 Angle traced by it in 15 min = (360/60) x 15° = 90°Correct Option: CAngle traced by hour hand in 12 h = 360° 
 Angle traced by hour hand in 25/4 h = (360/12) x (25/4)° = 187.5°
 Angle traced by minute hand in 60 min = 360°
 Angle traced by it in 15 min = (360/60) x 15° = 90°
 ∴ Required angle = (187.5° - 90°) = 97.5°
 
	