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NIELIT EXAM 2017 Day-8 : Engineering Mathematics Quiz -4
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Question 1
Consider the following function
Find the value of x at which f has absolute minimum.
Find the value of x at which f has absolute minimum.
Question 2
Let 
and
be two matrices.
Then the rank of P + Q is ____.
andbe two matrices.
Then the rank of P + Q is ____.
Question 3
A purchaser of electrical components buys them in lots of size 10. It is his policy to inspect3 components randomlyfrom a lot and to accept the lot only if at most 1 component is defective. If 30 percent of the lots have 4 defective components each and rest of the lots have 1 each, what proportion of the lots does the purchaserreject?
Question 4
Consider the following probability density function with continous random variable.
f(x)=100e-100x, if x
0
= 0, if x<0
Find the probability that x is greater than 0.01.
f(x)=100e-100x, if x
0 = 0, if x<0
Find the probability that x is greater than 0.01.
Question 5
Let P(E) denote the probability of the event E. Given P(A) = 1,
the values of P(A|B) and P(B|A) respectively are
the values of P(A|B) and P(B|A) respectively are Question 6
The building block shown in figure is a active high output decoder
The output Y is:
The output Y is:
Question 7
Consider the adjoining multigraph
Then list the connected components of the graph
Then list the connected components of the graph
Question 8
Let S = {5, 10, 25, 27, 35} be ordered by divisibility. Then the maximal and minimal element of S
Question 9
If p: A man is happy
q: A man is rich
Then the statement “If a man is not happy, then he is not rich” is written as
q: A man is rich
Then the statement “If a man is not happy, then he is not rich” is written as
Question 10
In how many ways can 15 indistinguishable fish be placed into 5 different ponds, so that each pond contains atleast one fish?
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