Mechanical Engineering - Online Test
Q1. Consider a company that assembles computers. The probability of a faulty
assembly of any computer is p. The company therefore subjects each
computer to a testing process. This testing process gives the correct result for
any computer with a probability of q. What is the probability of a computer
being declared faulty?
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. What is the probability that divisor of 1099 is a multiple of 1096?
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. Consider the following matrix
If the eigenvalues of A are 4 and 8, then
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. The weight of a sequence a0, a1,…,an-1 of real numbers is defined as a0 + a1/2 + ..... + an-1/2n-1. A subsequence of a sequence is obtained by deleting
some elements from the sequence, keeping the order of the remaining elements
the same. Let X denote the maximum possible weight of a subsequence of
a0, a1,..., an-1. Then X is equal to
Answer : Option D
Explaination / Solution:
No Explaination.
Q5. Consider a complete undirected graph with vertex set {0, 1, 2, 3, 4}. Entry Wij in
the matrix W below is the weight of the edge {i, j}.
What is the minimum possible weight of a spanning tree T in this graph such that
vertex 0 is a leaf node in the tree T?
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. Consider a complete undirected graph with vertex set {0, 1, 2, 3, 4}. Entry Wij in
the matrix W below is the weight of the edge {i, j}.
What is the minimum possible weight of a path P from vertex 1 to vertex 2 in this
graph such that P contains at most 3 edges?
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. The number of parameters in the univariate exponential and Gaussian distributions,
respectively, are
Answer : Option B
Explaination / Solution:
Probability density functions of univariable exponential distributes
where µ and σ are parameters
Q8. The reaction rate involving reactants A and B is given by 
Which one of the
following statements is valid for the reaction to be first –order reaction?
Which one of the
following statements is valid for the reaction to be first –order reaction?
Answer : Option B
Explaination / Solution:
In chemical kinetics, the order of reaction with respect to given substance is defined as the
index or exponent to which its concentration term in the rate equation is raised.
Order of reaction = α + β
For first order reaction, α + β = 1
Q9. The matrix P is the inverse of a matrix Q. If I denotes the identity matrix, which one of the
following options is correct?
Answer : Option C
Explaination / Solution:
Given P is inverse of Q
⇒ PQ = QP = I
Q10. Let x be a continuous variable defined over the interval (−∞, ∞), and 
Answer : Option B
Explaination / Solution:
