Clocks and Calendars Quiz 1

q = 11/2 m – 30h
= 11/2 *30 - 30 *6
= /165-180/ = 150

Month : Mar, April ,May ,June ,July ,Aug, Sept. Oct.
Odd days : 3 ,2 ,3 ,2 ,3 ,3 ,2 ,3
Total 21 odd days. 21/7 = 0. So November has start with the same day

Coincide means 00 angle.
0 =11/2m –30*3
11m = 90*2 = 180
m= 180/11 = 16 4/11
So time = 3 : 16 4/11

hour hand and minute hand coincide every 65:5 minute, so in 5 hour they will
coincide 4 times

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
Odd days in 1600 years = 0
Odd days in 300 years = 1
97 years has 24 leap years + 73 ordinary years.
Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.
Jan. Feb. March April May June
(31 + 28 + 31 + 30 + 31 + 17) = 168 days
168 days = 24 weeks = 0 odd day.
Total number of odd days = (0 + 1 + 2 + 0) = 3.
Given day is Wednesday.

At 5:30 minute hand will be at position 6 and hour hand will be exactly between
5 and 6 and will cover 15°, so the smaller angle between two hands=30 -15 = 15°

Friday..If the Nth year is a non-leap year, then 320th day of year N to
206th day of year N+1 is [(365 – 320) + 206] = 251 days i.e. 35 weeks + 6 days.
But this will not make the two days to be Thursday.
Thus, the Nth year has to be a leap year. In this case 320th day of year N to 206th
day of year
N+1 is [(366 – 320) + 206) = 252 days i.e. 36 weeks. Hence both days will be same
day of the
week i.e. Thursday as given by the data.
168th day of N-1 year to 320th day of N year is [(365 – 168) + 320) = 517 days i.e.
73 weeks +
6 days. Thus, if the 320th day is
Thursday, then the 168th day of
year will be
Friday.

15th july, 2000 = (2000 years + Period 1.7.2001 to 15.7.2001)
Odd days in 1600 years = 0
Odd days in 400 years = 0
1 year = (1 ordinary year) = (1 x 1) = 1 odd day.
Jan. Feb. March April May June July.
(31 + 28 + 31 + 30 + 31 + 30 + 15) = 196 days
196 days = (28 weeks) 0 odd days.
Total number of odd days = (0 + 0 + 1 + 0) = 1= 1 odd day.
Given day is Monday.

as there are 4 full weeks i.e 28 days..
so..every day occurs min 4 times.
the remaining 3 days (as Jan has 31 days) will be monday tuesday wednesday.
so on 31st jan comes wednesday.
so 1st jan ll be MONDAY

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o’clock only). So, in a day, the hands point in the opposite directions 22 times.