Discrete Mathematics MCQs | Page - 11

Q. 101) Let (A7, ⊗7)=({1, 2, 3, 4, 5, 6}, ⊗7) is a group. It has two sub groups X and Y. X={1, 3, 6}, Y={2, 3, 5}. What is the order of union of subgroups?

Q. 102) A relation (34 × 78) × 57 = 57 × (78 × 34) can have                      property.

Q. 103) B1: ({0, 1, 2….(n-1)}, xm) where xn stands for “multiplication-modulo-n” and B2: ({0, 1, 2….n}, xn) where xn stands for “multiplication-modulo-m” are the two statements. Both B1 and B2 are considered to be                      

Q. 104) If group G has 65 elements and it has two subgroups namely K and L with order 14 and 30. What can be order of K intersection L?

Q. 105) Consider the binary operations on X, a*b = a+b+4, for a, b ∈ X. It satisfies the properties of                

Q. 106) Let * be the binary operation on the rational number given by a*b=a+b+ab. Which of the following property does not exist for the group?

Q. 107) A group G, ({0}, +) under addition operation satisfies which of the following properties?

Q. 108) If (M, *) is a cyclic group of order 73, then number of generator of G is equal to              

Q. 109) The set of even natural numbers, {6, 8, 10, 12,..,} is closed under addition operation. Which of the following properties will it satisfy?

Q. 110) A non empty set A is termed as an algebraic structure