Q. If x and y are independent Gaussian random variables with average value 0 and with same variance, their joint probability density function is given by:

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Q. Assertion(A): Bit maps are not often used in memory management.
Reason(R): Searching a bitmap for a run of given length is a slow operation.

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Q. The complete graph with four vertices has k edges where k is:

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Q. Which two of the following are equivalent for an undirected graph G?

(i) G is a tree
(ii) There is at least one path between any two distinct vertices of G
(iii) G contains no cycles and has (n-1) edges
(iv) G has n edges

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Q. A relation R in {1,2,3,4,5,6} is given by {(1,2),(2,3),(3,4),(4,4),(4,5)}. This relation is:

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Q. The set of positive integers under the operation of ordinary multiplication is:

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Q. In a set of 8 positive integers, there always exists a pair of numbers having the same remainder when divided by:

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Q. A box contains six red balls and four green balls. Four balls are selected at random from the box. What is the probability that two of the selected balls are red and two are green?

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Q. The number of edges in a complete graph with ‘n’ vertices is equal to:

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Q. Depth ion travels of the following directed graph is:

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Q. If (a^2−b^2) is a prime number where a and bϵN, then:

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Q. For a complete graph with N vertices, the total number of spanning trees is given by:

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Q. Let A and B be two arbitrary events, then:

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Q. Consider the relation on the set of non-negative integers defined by x≡y if and only if:

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Q. Minimum number of individual shoes to be picked up from a dark room (containing 10 pair of shoes) if we have to get atleast one proper pair:

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Q. If f(x) =x+1 and g(x)=x+3 then fofofof is:

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Q. If Im denotes the set of integers modulo m, then the following are fields with respect to the operations of addition modulo m and multiplication modulo m:
(i) Z23      (ii) Z29
(iii) Z31    (iv) Z33

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Q. In mathematical logic, which of the following are statements?

(i) There will be snow in January.
(ii) What is the time now?
(iii) Today is Sunday.
(iv) You must study Discrete mathematics

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Q. Match the List-I with List-II and choose the correct answer from the code given below:

List I List II

(a) Equivalence (i) p⇒q
(b) Contrapositive (ii) p⇒q : q⇒p
(c) Converse (iii) p⇒q : ∼q⇒∼p
(d) Implication (iv) p⇔q

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Q. A box contains six red balls and four green balls. Four balls are selected at random from the box. What is the probability that two of the selected balls will be red and two will be green?

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