Clocks and calendar quiz 1

Explanation:  The year 2004 is a leap year. So, it has 2 odd days. But, Feb 2004 not included because we are calculating from April 2004 to April 2005. Thus, it has 1 odd day only. The day on 8th April, 2005 will be 1 day beyond the day on 8th April, 2004. Given that, 8th April, 2005 is Monday. 8th April, 2004 is Sunday (1 day before to 8th April, 2005).

Explanation:

We shall find the day on 1st May, 2001.

1st May, 2001 = (2000 years + Period from 1.1.2001 to 1.5.2001) Odd days in 1600 years = 0 Odd days in 400 years = 0

Jan. Feb. March April May (31 + 28 + 31 + 30 + 1) = 121 days 2 odd days. Total number of odd days = (0 + 0 + 2) = 2

On 1st May, 2001 it was Tuesday.

In May, 2001 Thursday falls on 3th, 10th, 17th and 24th, 31st.

Explanation:  y weeks y days = (7y + y) days = 8y days

Explanation:  We know that the angle traced by the hour hand in one hour is 30º. The total angle traced by the hour hand in 19 hours (2 a.m to 9 p.m) is 30 x 19 = 570º.

Explanation:  Time from 5 a.m on a day to 10 p.m.on 4th day = 89 hours. Now 23 hrs 44 min. of this clock = 24 hours of correct clock. Therefore 356 / 15 hrs of this clock = 24 hours of correct clock. 89 hrs of this clock = (24 x (15/356) x 89) hrs = 90 hrs So, the correct time is 11 p.m.

Explanation:  The total angle traced by the hour hand is the angle traced in 5 hours and 10 minutes.

We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º.

Therefore, (30º x 5) + (10 x 1/2º) = 155º is the angle traced by the hour hand.

Explanation:

Angle traced by hour hand in 125 / 12 hrs. =[360/12 x 125/12]° = 312½°.

Angle traced by minute hand in 25 min. = [360/60 x 25]° =150°.

Reflex angle = 360 - (312½ -150)° =360° - 162 ½° = 197½°.

Explanation:  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.