Maths Chapter 1 – Relations and Functions MCQ Question and Answers – MCQs for Practice

1. The function f : R → R defined by f(x) = 3 – 4x is

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5. If N be the set of all-natural numbers, consider f : N → N such that f(x) = 2x, ∀ x ∈ N, then f is

6. Let R be a relation on the set N of natural numbers denoted by nRm ⇔ n is a factor of m (i.e. n | m). Then, R is

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8. The smallest integer function f(x) = [x] is

9. The maximum number of equivalence relations on the set A = {1, 2, 3} are

10. If a matrix A is both symmetric and skew-symmetric, then

11. Let A = N × N and * be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d). Then * is

12. Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then R is

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17. Let a, b and c be vectors with magnitudes 3, 4 and 5 respectively and a + b + c = 0, then the values of a.b + b.c + c.a is

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20. Z = 7x + y, subject to 5x + y ≥ 5, x + y ≥ 3, x ≥ 0, y ≥ 0. The minimum value of Z occurs at

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22. Region represented by x ≥ 0, y ≥ 0 is

23. The number of commutative binary operations that can be defined on a set of 2 elements is

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26. Let A = {1, 2, 3}. Then the number of relations containing (1, 2) and (1, 3), which are reflexive and symmetric but not transitive is

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31. Total number of equivalence relations defined in the set S = {a, b, c} is

32. Let A = {x : -1 ≤ x ≤ 1} and f : A → A is a function defined by f(x) = x |x| then f is

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35. If * is a binary operation on set of integers I defined by a * b = 3a + 4b – 2, then find the value of 4 * 5.

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37. If set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is

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39. Let R be the relation “is congruent to” on the set of all triangles in a plane is

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41. Objective function of a L.P.P.is

42. Let * be the binary operation on N given by a * b = HCF (a, b) where, a, b ∈ N. Find the value of 22 * 4.

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45. Number of binary operations on the set {a, b} are

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48. The maximum value of f = 4x + 3y subject to constraints x ≥ 0, y ≥ 0, 2x + 3y ≤ 18; x + y ≥ 10 is

49. If there is an error of a% in measuring the edge of a cube, then the percentage error in its surface area is