EC GATE 2010 - Online Test

Q1. A fair coin is tossed independently four times. The probability of the event “the number of time heads shown up is more than the number of times tail shown up”
Answer : Option D
Explaination / Solution:
No Explaination.


Q2. If  over the path shown in the figure is

Answer : Option C
Explaination / Solution:



Q3.
Consider differential equation with the initial condition y(0) = 0. Using Euler’s first order method with a step size of 0.1, the value of y(0.3) is
Answer : Option B
Explaination / Solution:

Taking step size h = 0.1, y(0) = 0

From table, at x = 0.3,y(x = 0.3) = 0.031

Q4. Given  then the value of k is
Answer : Option D
Explaination / Solution:


By final value theorem