DXC Quants Clocks & Calendar Quiz 3

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 6th April, 2005 will be 1 day beyond the day on 10th April, 2004.
Given that, 6th March, 2005 is Saturday.
10th March, 2004 is Friday.

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

1st June, 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 June

(31 + 28 + 31 + 30 + 31+1) = 152 days 5 odd days.

Total number of odd days = (0 + 0 + 5) = 5

On 1st June, 2001 it was Friday.

In May, 2001 Thursday falls on 7th, 14th, 21th and 28th.

We know that the angle traced by the hour hand in one hour is 30º.
The total angle traced by the hour hand in 17 hours (2 a.m to 7 p.m) is 30 x 17 = 510º.

Explanation :
Time from 7 a.m on a day to 8 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 9 p.m.

Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.
Year : 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013
Odd day : 1 2 1 1 1 2 1 1 1 2 1

Sum = 14 odd days 0 odd days.
Calendar for the year 2014 will be the same as for the year 2003.

The year 2006 is not a leap year. So, it has 1 odd days.
The year 2007 is a ordinary year . So it has 1 odd day.
Total odd days = 2
1st day of the year 2006 was Wednesday.
1st day of the year 2008 will be 2 days beyond Wednesday.
Hence, it will be Monday.

Angle traced by the hour hand in 9 hours=(360/12)*9
=270 degrees

Explanation:
The watch gains 10 seconds in 6 minutes = 100 seconds in 1 hour.
From 5 AM to 7 PM on the same day, time passed 14 hours.
In 14 hours, the watch would have gained 1400 seconds or 23 minutes 20 seconds.
So, when the correct time is 7 PM, the watch would show 7 : 23 : 20 PM

Each day of the week is repeated after 7 days. So, after 84 days, it will be Thursday.

After 82 days, it will be Tuesday.

Explanation:
16th July, 1776 = (1775 years + Period from 1st Jan, 1776 to 14th May, 1776)
Counting of odd days :
1600 years have 0 odd day.
100 years have 5 odd days.
75 years = (18 leap years + 57 ordinary years) = [(18 x 2) + (57 x 1)] = 93 (13 weeks + 2 days) = 2 odd days

ys = 0 odd day.
Jan Feb Mar Apr May
31 + 29 + 31 + 30 + 31 = 152 days= (21 weeks + 5 days)
Total number of odd days = (0 + 5) = 5.
Required day was 'Friday'.