ME GATE 2013 - Online Test
Q1. The probability that a student knows the correct answer to a multiple choice
question is 2/3. If the student does not know the answer, then the student
guesses the answer. The probability of the guessed answer being correct is 1/4. Given that the student has answered the question correctly, the conditional
probability that the student known the correct answer is
Answer : Option D
Explaination / Solution:
A = The student answer the question correctly 
E1 = Student knows the correct answer
E2 = Student guesses the correct answer
Q2. The solution to the differential equation 
where k is a constant,
subjected to the boundary conditions u(0)=0 and u(L)=U, is
where k is a constant,
subjected to the boundary conditions u(0)=0 and u(L)=U, is
Answer : Option B
Explaination / Solution:
Q3. The value of the definite integral 
Answer : Option C
Explaination / Solution:
Q4. Find the sum of the expression
Answer : Option B
Explaination / Solution:
The expression can be written as
