TCS Company Logical Reasoning Mathematical Reasoning

23 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.

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TCS Other Question

A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it
hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?
option
a) 0.75
b) 1
c) 0.5
d) 0.25
One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child's age and eldest child's age is two times of sum of other two children. What is the age of eldest child?