GATE 2018 | MATHS | Q-40

Question

Which one of the following statements is true?

(A) Every group of order 12 has a non-trivial proper normal subgroup

(B) Some group of order 12 does not have a non-trivial proper normal subgroup

(C) Every group of order 12 has a subgroup of order 6

(D) Every group of order 12 has an element of order 12

Answer 1

(A) Every group of order 12 has a non-trivial proper normal subgroup