Q1.A system described by a linear, constant coefficient, ordinary, first order
differential equation has an exact solution given by y(t) for t > 0, when the
forcing function is x(t) and the initial condition is y(0). If one wishes to modify
the system so that the solution becomes -2y(t) for t > 0, we need to
Answer : Option DExplaination / Solution: No Explaination.
Q2.Consider two identically distributed zero-mean random variables U and V. Let the cumulative distribution functions of U and 2V be F(x) and G(x) respectively. Then, for all values of x
Answer : Option CExplaination / Solution: No Explaination.
Q6.An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value
is odd is 90% of the probability that the face value is even. The probability of getting any even
numbered face is the same. If the probability that the face is even given that it is greater than 3 is 0.75,
which one of the following options is closest to the probability that the face value exceeds 3?
Answer : Option BExplaination / Solution: No Explaination.
Q8.Which one of the following is the most appropriate logical formula to represent the statement
“Gold and Silver ornaments are precious”
The following notations are used:
G(x): x is a gold ornament
S(x): x is a silver ornament
P(x): x is precious
Answer : Option DExplaination / Solution: No Explaination.