Note: Do yourself. It was Thursday

Note: Do yourself. It was Tuesday

Note: 1600 years contain 0 odd day. 300 years contain 1 odd day. 100 years contain 5 odd days. :. 2000 years contain (0 + 1 + 5) odd days = 6 odd days. 1st Jan, 2001 has one odd day. :. Total number of odd days upto 1st Jan, 2001 = 7 odd days = 0 odd days. :. The day will be Sunday

Note: Total number of odd days from 1st Jan, 1991 to 1st Jan, 1998 Year 1991 1992 1993 1994 1995 1996 1997 Odd days 1 + 2 + 1 + 1 + 1 + 2 + 1 = 9 odd days i,e 2 odd days :. The day is 2 days beyond the day on 1st Jan, 1991. i,e. The required day must be Thursday.

Note: Find the day on 1st April, 1994. 1600 years contain 0 odd day 300 years contain 1 odd day 93 years = (23 leap years + 70 ordinary years ) = (46 + 70) odd days = 4 odd days. Number of days upto 1st April, 1994 Jan Feb March April 31 + 28 + 31 + 1 = 91 days = 0 odd day. :. Total number of odd days = (0 + 1 + 4 + 0) = 5 odd day. :. Day on 1st April 1994 is 'Friday' :. Sunday was on 3rd April, 1994. Thus, Sunday fell on 3rd, 10th, 17th, & 24th.

Note: Count the number of days for 1990 on wards to get 0 odd day. Year 1990 1991 1992 1993 1994 1995 Odd days 1 1 2 1 1 1 = 7 or 0 odd day. :. Calendar for 1990 is the same as for the year 1996.

Note: Since any in March is the same day of the week as the corresponding date in November of that year, so the same day falls on 5th November.

Note: Angle traced by hour hand in 12 hrs = 360° Angle traced by it in` 11/3` hrs` = (360/12 xx 11/3)^° = 110^°` Angle traced by minute hand in 60 min.` = 360^°` Angle traced by it in 40 min` = (360/60 xx 40)^° = 240^° :. Required angle` = (240 - 110)^° = 130^°`

Note: Angle traced by min. hand in `17/2` hrs` = (360/12 xx 17/2)^°` `= 255^°` Angle traced by min. hand in 30 min.`= (360/60 xx 30)^°` `= 180^°` :. Required angle` = (255 - 180)^°` `= 75^°`

Note: Angle traced by hour hand in `13/2` hrs` = (360/12 xx 13/3)^°` `= 130^°` Angle traced by min. hand in 20 min.` = (360/60 xx 20)^°` `= 120^°` :. Required angle` = (130 - 120)^° = 10^°`