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Dear candidates you will find MCQ questions of Discrete Mathematics here. Learn these questions and prepare yourself for coming examinations and interviews. You can check the right answer of any question by clicking on any option or by clicking view answer button.

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Q. 141) Let p denote the statement: “I finish my homework before dinner”, q: “It rains” and r: “I will go for a walk”, the representative of the following statement: if I finish my homework before dinner and it does not rain, then I will go for walk is

(A) p ˄ ~q ˄ r
(B) (p ˄ ~q )→ r
(C) p →(~q˄ r)
(D) (p →~q)→ r)
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Q. 142) The contrapositive of p →q is

(A) ~ q → ~ p
(B) ~ p → ~ qc
(C) ~ p → q
(D) ~ q → p
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Q. 143) Which of the following is declarative statement?

(A) it’s right
(B) three is divisible by 3.
(C) two may not be an even integer
(D) i love you
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Q. 144) Which of the proposition is p ^ (~p v q) is

(A) tautulogy
(B) contradiction
(C) logically equivalent to p ^ q
(D) all of above
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Q. 145) The relation R defined in A = {1, 2, 3} by aRb, if
a2 – b2
£ 5. Which of the following is false?

(A) r = {(1, 1), (2, 2), (3, 3), (2, 1), (1, 2), (2, 3), (3, 2)}
(B) r–1 = r
(C) domain of r = {1, 2, 3}
(D) range of r = {5}
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Q. 146) The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(x, y) :
x2 – y2
< 16} is given by

(A) {(1, 1), (2, 1), (3, 1), (4, 1), (2, 3)}
(B) {(2, 2), (3, 2), (4, 2), (2, 4)}
(C) {(3, 3), (4, 3), (5, 4), (3, 4)}
(D) none of the above
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Q. 147) If R = {x, y) : x, y Î Z, x2 + y2 £ 4} is a relation in z, then domain of R is

(A) {0, 1, 2}
(B) {– 2, – 1, 0}
(C) {– 2, – 1, 0, 1, 2}
(D) none of these
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Q. 148) If A = { (1, 2, 3}, then the relation R = {(2, 3)} in A is

(A) symmetric and transitive only
(B) symmetric only
(C) transitive only
(D) not transitive
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Q. 149) Let X be a family of sets and R be a relation in X, defined by ‘A is disjoint from B’. Then, R is

(A) reflexive
(B) symmetric
(C) anti-symmetric
(D) transitive
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Q. 150) (p → r) ∨ (q → r) is logically equivalent to

(A) (p ∧ q) ∨ r
(B) (p ∨ q) → r
(C) (p ∧ q) → r
(D) (p → q) → r
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