ME GATE 2011 - Online Test
Q1. If f(x) is an even function and a is a positive real number, then 
equals
equals
Answer : Option D
Explaination / Solution:
Q2. The integral 
when evaluated by using Simpson’s 1/3 rule on two equal
subintervals each of length 1, equals
when evaluated by using Simpson’s 1/3 rule on two equal
subintervals each of length 1, equals
Answer : Option C
Explaination / Solution:
Q3. Consider the differential equation 
. The general solution with
constant c is
. The general solution with
constant c is
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. An unbiased coin is tossed five times. The outcome of each toss is either a head
or a tail. The probability of getting at least one head is
Answer : Option D
Explaination / Solution:
P(at least one head) = 1- P (no heads) = 1 - (1/25) = 31/32
Q5. Consider the following system of equations
2x1 + x2 + x3 = 0,
x2 - x3 = 0,
x1 + x2 = 0.
This system has
Answer : Option C
Explaination / Solution:
No Explaination.
