TCS Company Numerical Ability Probability

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?
a) 0.25
b) 0.75
c) 0.5
d) 1

Read Solution (Total 6)

ANS. is a) 0.25

consider a circle at half the radius of the dartboard.

if the point Q lies inside this circle or on it, it is closer to the centre than the periphery, otherwise false...

find the ratio of the area of the smaller to the larger circle.

pi(1/2)^2 / pi(1)^2 = 0.25
14 years agoHelpfull: Yes(61) No(1)

0.25
14 years agoHelpfull: Yes(20) No(5)
0.25
14 years agoHelpfull: Yes(6) No(5)
0.5
14 years agoHelpfull: Yes(4) No(39)
plzz xplain the solution.. why we are taking the ratio of the two circles??
10 years agoHelpfull: Yes(1) No(0)
(22/7)*(1/2)*(1/2)/(22/7)*(1)*(1)=0.25 Ans
9 years agoHelpfull: Yes(1) No(0)

TCS Other Question

A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement n says "At least n of the statements on this sheet are true." Which statements are true and which are false?
a) The even numbered statements are true and the odd numbered are false.
b) The first 26 statements are false and the rest are true.
c) The first 13 statements are true and the rest are false.
d) The odd numbered statements are true and the even numbered are false.
Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines are
1) 3
2) 1
3) 0
4) 4