The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.

Time is 2.20.

Hour hand at 2 (nearly) and minute hand at 4.

Angle between 2 and 4 is 60 degrees [(360/12) * (4-2)]

Angle made by the hour hand in 20 minutes is 10 degrees, since it turns through 1/2 degrees in a minute.

Therefore, angle between the hands is 60 degrees - 10 degrees = 50 degrees.

What was the day of the week on 28th May, 2006?

28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)

Odd days in 1600 years = 0

Odd days in 400 years = 0

5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) = 6 odd days

From January to 28 May (31 + 28 + 31 + 30 + 28 ) = 148 days

So, 148 days = (21 weeks + 1 day) = 1 odd day.

Total number of odd days = (0 + 0 + 6 + 1) = 7 = 0 odd day.

Hence Given day is Sunday.

How many times in a day, are the hands of a clock in straight line but opposite in direction?

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'clcok only).

So, in a day, the hands point in the opposite directions 22 times..

At 3:40, the hour hand and the minute hand of a clock form an angle of ...

Angle traced by hour hand in 12 hrs = 360 degree

Angle traced by it in 11/3 hrs = (360/12 * 11/3) = 110 degree

Angle traced by minute hand in 60 min. = 360 degree

Angle traced by it in 40 min = (360/60 * 40) = 240 degree

So, Required angle (240 - 110) = 130 degree.

If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

The year 2004 is a leap year. So, it has 2 odd days.

But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only.

So, the day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.

Given that, 6th March, 2005 is Monday.

Hence 6th March, 2004 is Sunday..

It was Sunday on Jan 1, 2006.What was the day of the week Jan 1, 2010?

On 31st December, 2005 it was Saturday.

Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.

So, On 31st December 2009, it was Thursday.

Thus, on 1st Jan, 2010 it is Friday..

On 8th Dec, 2007 Saturday falls.What day of the week was it on 8th Dec, 2006?

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

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

But, 8th Dec, 2007 is Saturday.

Hence, 8th Dec, 2006 is Friday..

The calendar for the year 2007 will be the same for the year ...

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

Year 2007 has 1 odd day

2008 has 2 odd day

2009 has 1 odd day

2010 has 1 odd day

2011 has 1 odd day

2012 has 2 odd day

2013 has 1 odd day

2014 has 1 odd day

2015 has 1 odd day

2016 has 2 odd day

2017 has 1 odd day

Sum = 14 odd days = 0 odd days.

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

What is the angle between the hands of a clock at 3:35 pm?

At 3:35 hour hand is nearly at 3

Minute hand is at 7

Angle between 3 and 7 is 120 degree.

Hour hand move 1/2 degree in one minute.

In 35 Minutes hour hand will move 1/2 * 35 = 17.5 degree

Hence, Angle between hands is 120 - 17.5 = 102.5 degree.

The last day of a century cannot be ...

100 years contain 5 odd days.

So, last day of 1st century is Friday.

200 years contain (5 x 2) = 3 odd days.

So, Last day of 2nd century is Wednesday.

300 years contain (5 x 3) = 15 = 1 odd day.

So, Last day of 3rd century is Monday.

400 years contain 0 odd day.

So, Last day of 4th century is Sunday.

This cycle is repeated.

Hence Last day of a century cannot be Tuesday or Thursday or Saturday..

What is the angle between the hands of a clock at 8:50 am?

At 8:50 hour hand is nearly at 8

Minute hand is at 10

Angle between 8 and 10 is 60 degree.

Hour hand move 1/2 degree in one minute.

In 50 Minutes hour hand will move 1/2 * 50 = 25 degree

Hence, Angle between hands is 60 - 25 = 35 degree.

If 14th August falls on Monday, then what will be the day on 14th September.

Monday will fall on 14, 21 and 28th August. By taking into account that August has 31 days 1st September will be fall on Friday. So, 7th and 14th September will be on Friday..

What is the angle between the minute hand and the hour hand when the time is 1540 hours?

Hour hand is nearly at 3

Minute hand is at 8

Angle between 3 and 8 is 150 degree.

In 40 Minutes hour hand will move 1/2 * 40 = 20 degree

Hence, Angle between hands is 150 - 20 = 130 degree.

What is the angle between the hands of a clock at 7:05 am?

At 7:05 hour hand is nearly at 7

Minute hand is at 1

Angle between 7 and 1 is 180 degree.

Hour hand move 1/2 degree in one minute.

In 5 Minutes hour hand will move 1/2 * 5 = 2.5 degree

Hence, Angle between hands is 180 - 2.5 = 177.5 degree.

What is the angle between the hands of a clock at 4:20 pm?

At 4:20 hour hand is nearly at 4 but not perfectly at 4.

Minute hand is at 4

If both hands are at 4 then angle is 0 degree.

Hour hand move 1/2 degree in one minute.

In 20 Minutes hour hand will move 1/2 * 20 = 10 degree

Hence, Angle between hands is 0 + 10 = 10 degree.

What will be the day of the week 15th August, 2010?

15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)

Odd days in 1600 years = 0

Odd days in 400 years = 0

9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days = 4 odd days.

From January to 15 August (31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days

227 days = (32 weeks + 3 days) = 3 odd days.

Total number of odd days = (0 + 0 + 4 + 3) = 7.

Hence, Given day is Sunday..

At what angle the hands of a clock are inclined at 15 minutes past 5?

Angle traced by hour hand in 21/4 hrs = (360/12 * 21/4) = 157.5 degree

Angle traced by minute hand in 15 min = (360/60 * 15) = 90 degree

So, required angle = (157.5 - 90) = 67.5 degree.

The day that will come two days after tomorrow will be Thursday. What was the day that Dawned two days before yesterday.

As the day, two days after tomorrow is Thursday so tomorrow is Tuesday and today is Monday and yesterday was Sunday. Hence the day two days before yesterday was Friday..

Reaching a party day before yesterday, I found myself two days late. If day after tomorrow is Friday. On what day was the party scheduled to be held?

As day after tomorrow is Friday so tomorrow is Thursday, today is Wednesday, yesterday was Tuesday and day before yesterday was Monday. Today before the day before yesterday was Saturday. Hence party was scheduled on Saturday..

March 1st is Wednesday. Which month of the same year starts with the same day?

March has 3 odd days

April has 2 odd days

May has 3 odd days

June has 2 odd days

July has 3 odd days

August has 3 odd days

September has 2 odd days

October has 3 odd days

Total 21 odd days. 21/7 = 0. So November has start with the same day..

What was the day of the week on 17th June, 1998?

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 = (5 x 3) = 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.

From January to 17 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.

Hence Given day is Wednesday..

How many times do the hands of a clock coincide in a day?

The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).

The hands overlap about every 65 minutes, not every 60 minutes. So, the hands coincide 22 times in a day..

The 15th of the month falls on the day preceding Sunday, on what day will the 6th of the month fall?

As on 15th of the month day is Saturday so on 8th the day will also Saturday. Hence on 6th of the month day will be Thursday(Two days before Saturday)..

The reflex angle between the hands of a clock at 10:25 is

Angle traced by hour hand in 125/12 hrs = (360/12 * 125/12) = 625/2 degree

Angle traced by minute hand in 25 min = (360/60 * 25) = 150 degree

So, Reflex angle = 360 - (625/2 - 150) = 197.5 degree.

The angle between the minute hand and the hour hand of a clock when the time is 4:20, is ?

Angle traced by hour hand in 13/3 hrs = (360/12 * 13/3) = 130 degree

Angle traced by minute hand in 20 min = (360/60 * 20) = 120 degree

So, required angle = 130 - 120 = 10 degree.

It would be Tuesday two days after tomorrow. What was two days before yesterday?

As the day, two days after tomorrow is Tuesday so tomorrow is Sunday and today is Saturday and yesterday was Friday. Hence the day two days before yesterday was Wednesday..

What is the angle between the hands of a clock at 1 o'clock?

At 1 o'clock the minute hand points to the 12 and the hour hand points to the 1.

So we need to find the angle between the 12 and the 1.

There are 12 total numbers on the clock and total angle on complete turn of the clock is 360 degree, so each one must be 360/12 = 30 degree.

So the angle between the hands of a clock at 1 o'clock is 30 degree..

What is the angle between the hands of a clock at 2:30?

Hour hand is nearly at 2

Minute hand is at 6

Angle between 2 and 6 is 120 degree.

Hour hand move 1/2 degree in one minute.

In 30 Minutes hour hand will move 1/2 * 30 = 15 degree

Hence, Angle between hands is 120 - 15 = 105 degree.

The angle between the minute hand and the hour hand of a clock when the time is 8:30, is ?

Angle traced by hour hand in 17/2 hrs = (360/12 * 17/2) = 255 degree

Angle traced by minute hand in 30 min = (360/60 * 30) = 180 degree

So, Required angle = (255 - 180) = 75 degree.