PPSC LECTURER MATH 2017.pdf

1. A cyclic group of order n is generated by (A) n elements (B) (n-1) elements (C) 1 element (D) None of these 2. Let G be a group of order 13. (A) G is not cyclic (B) G is Non abelian (C) G is commutative (D) None of these 3. Identity element in a cyclic group is (A) Infinite (B) Unique (C) Prime number (D) None of these 4. = a2 b 2 then (A) G is cyclic (B) G may be Abelian (C) G is abelian (D) None of these 5. Which of the following statement is correct. (A) A group can have more than one identity element (B) The Null set can be considered to be a group (C) The set of all real numbers is a group under subtraction (D) To each element of a group there corresponds only one inverse element.