TCS Company Numerical Ability Probability

Probability that leap year chosen at random will have 53 sundays

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A leap year has 366 days, therefore 52 weeks i.e. 52 Sunday and 2 days.
The remaining 2 days may be
Sunday and Monday
Monday and Tuesday
Tuesday and Wednesday
Wednesday and Thursday
Thursday and Friday
Friday and Saturday
Saturday and Sunday
For having 53 Sundays in a year, one of the remaining 2 days must be a Sunday.
2 / 7
10 years agoHelpfull: Yes(42) No(1)

2/21

sat sun or sun mon
10 years agoHelpfull: Yes(1) No(4)
as each leap year comes in 4 years.
So probability of selecting a leap year is 1/4
also probability of sunday in a leap year is 2/7

similarly prob..of normal year in 4 y is 3/4

prob. of sunday in normal year is 1/7

hence total probability =1/4*2/7+3/4*1/7=5/28

Ans 5/28
10 years agoHelpfull: Yes(1) No(9)
can anybody xpln it clearly
10 years agoHelpfull: Yes(0) No(1)

TCS Other Question

2 gears. one with 12 teeth and the other one with 14 teeth are engaged with each other. One tooth in smaller gear and one tooth in bigger gear are marked and initially those 2 marked teeth are in contact with each other. After how many rotations of the smaller gear with the marked teeth in the other gear will again come into contact for the first time?
a. 7
b. 12
c. Data Insufficient
d. 84
0>a>b>c>d. Which is largest
a. (b+d)/(a+c)
b. (a+d)/(b+c)
c. (b+c)/(a+d)
d. (c+d)/(a+d)