DXC Quants Clocks & Calendar Quiz 4

Given that n = 5 and n + 1 = 6
The hands will make right angle at
(5n ± 15) x 12/11 min past 7 .
⇒ (5 x 5 ± 15) x 12/11 min past 7.
⇒ (25 + 15) x 12/11 min past 7 and (25 - 15) x 12/11 min past 7.
⇒ 40 x 12/11 min past 7 and 10 x 12/11 min past 7.
⇒ 4801/11 min past 7 and 120/11 min past 7.
⇒ 43\frac{7}{11} min past 7 and 10\frac{10}{11} min past 7.

Number of odd days between 6th November, 1987 and 7th April, 1988 .
= (30 - 6) days of November 1987+ 31 days of December 1987 + 31 days of January 1988 + 29 days of February
1988 + 31 days March 1988 + 7 days of April 1988
= {(30 - 6 ) + 31 } + (31 + 29 + 31 + 7)
= 24 + 31 + 31 + 29 + 31 + 7 = 153
= 21 weeks + 6 days = 6 odd days
∴ 6th November, 1987 will be six days backward from Monday.
∴ Required day is Friday.

There are 3 intervals when the clock strikes 4 Time taken in 3 intervals = 9 seconds
∴ Time taken for 1 interval = 3 seconds
In order to strike 12, there are 11 intervals, for which the time taken is 11 × 3 seconds = 33 seconds.
Therefore , Required time taken is 33 seconds .

Year 2000 was a leap year.
Number of days remaining in 1999 = 365 - [31 days of January + 28 days of February + 1 days March] =305 days = 43 weeks+4 days i.e., 4 odd days.
Number of days passed in 2000 = January 31 days have 3 odd days.
February 29 days (being leap year) have 1 odd day
March 7 has 0 odd days.
∴ Total number of odd days = 4 + 3 + 1 + = 8days = 1 week + 1 odd days
Therefore, March 5, 2000 would be six days beyond Friday, i.e., on Sunday.

In every 1 hr time will increase by =4 minutes
So the time increase after 6 hours =6*4 = 24 minutes
Therefore , the required time will be 11 : 24 am.

Explanation
Solution:

One division of the clock =360/60=6°

in 1 hr hour's hand moves 5 division

or 5*6=30°

it will move 310° in 310/30=31/3 hours

in one hour minutes, hand will move 360°

So in 31/3 hrs, it will move= 360*31/3

=3720°

Explanation:

The year 2007 is an ordinary year. So, it has 1 odd day.

1st day of the year 2007 was Wednesday.

1st day of the year 2008 will be 1 day beyond Wednesday.

Hence, it will be Thursday.

Explanation


Each day of the week is repeated after 7 days.

So, after 49 days, it will be Saturday.


Therefore, After 52 days, it will be Wednesday.

Explanation
Solution:

We know that the clock gains 2 mins every hour.

Number of hours between 5 am and 9 pm = number of hours between 5 am and 12 noon + number of hours between 12 noon and 9 pm

= 7 + 9

= 16 hours

Hence in 15 hours, the clock will gain 16 × 3

= 48 minutes

Explanation:
To determine the alarm time, we add the given duration of 8 hours and 45 minutes to the current time of 2:30 PM.
Adding 8 hours gives us 2:30 PM + 8 hours = 10:30 PM.
Then, adding 45 minutes to 10:30 PM gives us 10:30 PM + 45 minutes = 11:15 PM.
Therefore, the alarm will go off at 11:15 PM.