BHU Allahabad MSC Maths Entrance Exam Sample question papers

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1. Let a relation R be defined on the set of complex numbers C by ZRW
Rc(Z)sRc(W) and Im{Z)::;Im(W). Then this relation R is
(1) reflexive and transitive but not symmetric
(2) symmetric and transitive but not reflexive
(3) reflexive and symmetric but not transitive
(4) symmetric but not reflexive and transitive
I

Let the relation R defined on the set A { 1, 2, 4, 6, } by x R Y iff x and y have a common
factor other than 1. Then the relation R is
(1) symmetric and reflexive but not transitive
(2) transitive and reflexive but not symmetric
(3) symmetric and transitive but not reflexive
(4) symmetric, transitive and reflexive

Which of the following statements is not true?
(1) Identity permutation is always a even permutation
(2) Product of two even permutations is an even permutation
(3) Inverse of an even permutation is a even permutation
(4) Product of one even permutation and one odd permutation is a even permutation

Order of a cyclic group and order of its generating element
(I) are equal
(2) order of first is greater than order of second
(3) order of first is less than order of second
(4) order of first is multiple of order of second

BHU Allahabad MSC Maths Entrance Exam question papers

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