First we look for the leap years during this period 1997, 1998, 1999 are not leap years.
1998 and 1999 together have net 2 odd days No. of days remaining in 1997 = 365 - 16 = 349 days = 49 week 6 odd days
January 4, 2000 gives 4 odd days.
∴ Total no. of days = 2 + 6 + 4 = 12 days = 7 Days (1 week) + 5 odd days

Correct Option: A

First we look for the leap years during this period 1997, 1998, 1999 are not leap years.
1998 and 1999 together have net 2 odd days No. of days remaining in 1997 = 365 - 16 = 349 days = 49 week 6 odd days
January 4, 2000 gives 4 odd days.
∴ Total no. of days = 2 + 6 + 4 = 12 days = 7 Days (1 week) + 5 odd days

Hence, January 4, 2000 will be 5 days beyond Thursday i.e., it will on Tuesday.

Try yourself. It was Wednesday.

Correct Option: C

Try yourself. It was Wednesday.

Time from 10 am to 3 pm of the next day = 29 h
Now, 24 h 10 min of the clock in question = 24 h of the correct clock

Correct Option: C

Time from 10 am to 3 pm of the next day = 29 h
Now, 24 h 10 min of the clock in question = 24 h of the correct clock
i.e., 145 h of the clock in question = 24 h of the correct clock
29 h of the clock in question = 24 x (6/145) x 29) h of correct clock = 28 h 48 min correct clock
So, the correct time is 28 h 48 min after 10 am i.,e 48 min past 2 pm.

Count the number of odd days from the year 2008 onward to get the sum equal to 0 odd day.

Correct Option: B

Count the number of odd days from the year 2008 onward to get the sum equal to 0 odd day.

Let us see
2008 = 2
2009 = 1
2010 = 1
2011 = 1
2012 = 2
2013 = 1
2014 = 1
2015 = 1
2016 = 2
2017 = 1
2018 = 1

Sum = 2 + 1 + 1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 + 1 = 14 days = 2 weeks = 0 odd days
∴ Calendar for the year 2019 will be the same as for the year 2008

Given that n = 5 and n + 1 = 6
The hands will make right angle at
(5n ± 15) x 12/11 min past 5 .

Correct Option: B

Given that n = 5 and n + 1 = 6
The hands will make right angle at
(5n ± 15) x 12/11 min past 5 .
⇒ (5 x 5 ± 15) x 12/11 min past 5.
⇒ (25 + 15) x 12/11 min past 5 and (25 - 15) x 12/11 min past 5.
⇒ 40 x 12/11 min past 5 and 10 x 12/11 min past 5.
⇒ 4801/11 min past 5 and 120/11 min past 5.
⇒ 43⁷/₁₁ min past 5 and 10¹⁰/₁₁ min past 5.