LakshyaEducation

The year 2006 is an ordinary year. So, it has 1 odd day.

So, the day on 8^th Dec, 2007 will be 1 day beyond the day on 8^th Dec, 2006.

But, 8^th Dec, 2007 is Saturday.

So, 8^th Dec, 2006 is Friday.

The century divisible by 400 is a leap year.

So,  The year 700 is not a leap year.

Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.

Year    : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017

Odd day : 1    2    1    1    1    2    1    1    1    2    1   

Sum = 14 odd days \(\equiv\) 0 odd days.

So,  Calendar for the year 2018 will be the same as for the year 2007.

The year 2007 is an ordinary year. So, it has 1 odd day.

1^st day of the year 2007 was Monday.

1^st day of the year 2008 will be 1 day beyond Monday.

Hence, it will be Tuesday.

Angle traced by the hour hand in 6 hours = \(\left(\frac{360}{12}\times6\right)^{0} = 180^{0} \)

Angle traced by hour hand in  \(\frac{125}{12}\)  hrs =\(\left(\frac{360}{12}\times\frac{125}{12}\right)^{0}= 312\frac{1}{2}^{0}\)

Angle traced by minute hand in 25 min = \(\left(\frac{360}{50}\times25\right)^{0}=150^{0}\)

So, Reflex angle = 360º – \(\left( 312\frac{1}{2}^{0}-150\right)^{0}=360^{0}-162\frac{1}{2}^{0}=197\frac{1}{2}^{0}\)