TCS Digital Clocks and Calendar Question Quiz -1

ans- 2/7



in aleap year there are 366 days means 52 weeks and 2days. so already we have
52 fridays. now the rest two days can be
(sun, mon), (mon,tues),(tues, wed), (wed, thrus), (thrus, fri),
(fri, sat), (sat, sun)
so, the probability of 53 fridays= 2/7

11..the hands will be together for once per hour..e.g 9.45,10.50..but between 11 and 12 the coming together will be counted as 1 for both hence in 12 hrs time they will be together for 12-1=11 times

57
after 12 oclock 12:21.......=1
from 1 to 9 it is 1.01, 1.11, 1.21, 1.31, 1.41, 1.51.= 6
similarly 2.02,2.12,.................
6*9=54+1=55
after 10 o clock 10:01, 11:11
Ans: 55+2=57

Suppose present time= X

Time remaining till midnight = 24 - X

Therefore. according to question:

One quarter of present time = X/4

Half of remaining time till midnight = (24-X)/2

So,

(X/4) + {(24-X)/2} = X

(X + 48 - 2X) = 4X

48 = 5X

X = 48/5 = 9.6

So, present time is 9.6 hours or 9 hours 36 minutes or 9:36AM

The clock loses 1% time during the first week.

In a day there are 24 hours and in a week there are 7 days. Therefore, there are 7 * 24 = 168 hours in a week.

If the clock loses 1% time during the first week, then it will show a time which is 1% of 168 hours less than 12 Noon at the end of the first week = 1.68 hours less.

Subsequently, the clock gains 2% during the next week. The second week has 168 hours and the clock gains 2% time = 2% of 168 hours = 3.36 hours more than the actual time.

As it lost 1.68 hours during the first week and then gained 3.36 hours during the next week, the net result will be a -1.68 + 3.36 = 1.68 hour net gain in time.

So the clock will show a time which is 1.68 hours more than 12 Noon two weeks from the time it was set right.

1.68 hours = 1 hour and 40.8 minutes = 1 hour + 40 minutes + 48 seconds.

i.e. 1 : 40 : 48 P.M.