Mathematics - Online Test
Q1. Given that F(s) is the one-side Laplace transform of f (t), the Laplace transform 
Answer : Option B
Explaination / Solution:
By property of unilateral laplace transform
Q2. Coefficient of in the expansion of tan x is
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. A random variable is a real valued function whose domain is the.
Answer : Option B
Explaination / Solution:
A random variable is a real valued function whose domain is the sample space of a random experiment .
Q4. Match each differential equation in Group I to its family of solution curves from Group II
Answer : Option B
Explaination / Solution:
Q5. If f(x) = then (fof) (2) is equal to
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. Let X be a random variable assuming values x1, x2,....,xn with probabilities p1, p2, ...,pn, respectively such that pi ≥ 0,. Mean of X denoted by is defined as
Answer : Option B
Explaination / Solution:
Let X be a random variable assuming values x1, x2,....,xn with probabilities p1, p2, ...,pn, respectively such that pi ≥ 0,. Mean of X denoted by is defined as: .
Q7. If then f (x) is
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. The Eigen values of following matrix are
Answer : Option D
Explaination / Solution:
Sum of the principal diagonal element of matrix is equal to the sum of Eigen values. Sum of the diagonal element is -1 - 1 + 3 = 1.In only option (D), the sum of Eigen values is 1.
Q9. An urn contains 5 red and 2 black balls. Two balls are randomly drawn. Let X represent the number of black balls. What are the possible values of X? Is X a random variable ?
Answer : Option C
Explaination / Solution:
An urn contains 5 red and 2 black balls. Two balls are randomly drawn. Let X represent the number of black balls.therefore the possible values of X = 0 , 1 ,2 . Yes , X is a random variable.
Q10. Let the function f be defined by f (x) then (x) is
Answer : Option C
Explaination / Solution:
No Explaination.
