DXC Quants Clock & Calendar Quiz 2

Explanation:
1 century = 100 years =(76 ordinary years + 24 leap year)
(no. of odd days in ordinary year = 1
no. of odd days in leap year = 2)
So, (76 × 1 + 24× 2)odd day
= 124 odd days
= 17 weeks + 5 odd days
= 5 odd days
Number of odd days in 200 years = (5 x 2) =10 = 3 odd days.
Number of odd days in 300 years = (5 x 3) =1 odd day.
Number of odd days in 400 years = (5 x 4 + 1) =0 odd day.
Similarly, each one of 800 years, 1200 years, 1600 years, 2000 years , 2400 etc. has 0 odd days.

Explanation: The clock has totally gained 16 minutes and 40 sec. i.e. 1000 seconds in 160 hrs.
In order to show the right time, the clock has to gain only 6 min i.e. 360 seconds.
Just apply the chain rule,
the clock gained 1000 sec in 160 hrs.
It will gain 360 sec. in 360 × 160/1000 = 288/5 hrs i.e. 57 3/5.
Adding 57 hrs & 36 minutes in Monday 5 p.m. we get-
2:36 a.m. on Thursday.

Explanation:
We know that angle between two hands is given by
\theta =\left | \frac{11}{2} M- 30H\right |^{\circ}
⇒ \theta =\left | \frac{11}{2}\times 38- 30\times 5\right |^{\circ}=59^{\circ}

Explanation:
According to the question, 10th March is Friday.
Number of days left in March = 31 – 10 = 21.
Similarly, odd days from 10th March till 25th September = (21 + 30 + 31 + 30 + 31 + 31 + 25) % 7 = 0 + 2 + 3 + 2 + 3 + 3 + 4 = 17/7.
Remainder = 3.
Thus, day on 25th September = Friday (+3) = Monday.
Hence, Anushka's birthday will be on Monday.

Explanation:.

Number of odd days in 2013 year = Remainder of (365 ÷ 7)=1 So, on 5 February 2014, the day would be → 5 February 2013 +1

Sunday + 1

Monday

 

According to the question, 12th April is Wednesday.
Number of days left in April = 30 – 12 = 18.
Similarly, odd days from 12th April till 2nd October = (18 + 31 + 30 + 31 + 31 + 30 + 2) / 7
= (4 + 3 + 2 + 3 + 3 + 2 + 2)/7 = 19/7 = 5
Thus, day on 2nd October = Wednesday + 5 = Monday.

Explanation:
7 seconds lost every hour for 4 days = 7 seconds lost every hour for (24*4) hours = 7 seconds lost every hour for 96 hours = (7*96) seconds lost = 672 seconds lost = (672/60) minutes lost = 11.2 minutes lost

Explanation:

When we divide 44 by 7 we get  as 2 remainder 

So, 44-2= 42 

After 42nd  day it will Friday  again 

On 43rd day Saturday

On 44th day Sunday

Explanation:
In a span of 12 hrs, the hands of a clock are at right angles exactly 22 times.
So, in a span of 48 hrs, they are at right angles exactly 88 times.

Explanation:

 

Angle =\frac{11}{2}\times M - 30\times H[\latex] 

Where, M is minutes and H is hours

M=40, H=6

\frac{11}{2}\times 40 - 30\times 6[\latex]

 

=220-180

=40 Degree