Electrical Engineering - Online Test

Q1. A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25m intervals in this plot. If in a flood, the water level rises to 525m, which of villages P,Q, R, S,T get submerged ? 

Answer : Option C
Explaination / Solution:

The given contour is a hill station, the peak point of this hill station is P, it is under a contour of 550 . At floods, the water level is 525m. So the village of R, S and T are under a contour of 500. Therefore these villages are submerged.

Q2. The expression ((x + y) - |x - y|)/2 is equal to
Answer : Option B
Explaination / Solution:



Q3. Six people are seated around a circular table. There are at least two men and two women . There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is
Answer : Option A
Explaination / Solution:

Out of six people, 3 place definitely occupied by right handed people as atleast 2 women are there so these two will sit adjacently. Now as only one seat is left it will be occupied by a left handed man because on right side of this seat is sitting an right handed man.

Therefore, answer should be 2 women. 

Q4. 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.


Q5. What is the probability that divisor of 1099 is a multiple of 1096
Answer : Option B
Explaination / Solution:
No Explaination.


Q6. Consider the following matrix 

If the eigenvalues of A are 4 and 8, then
Answer : Option B
Explaination / Solution:
No Explaination.


Q7. 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.


Q8. 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.


Q9. 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.


Q10. 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