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Divam Kumar posted an Question
December 03, 2020 • 21:12 pm 30 points
  • IIT JAM
  • Mathematics (MA)

70. consider a group u(15) = {1, 2, 4, 7, 8, 11, 13, 14) under multiplication modulo 15. then order of the element 7 is: (a) 3 (b) 4 (c) 5 (d) none of these 71.

70. Consider a group U(15) = {1, 2, 4, 7, 8, 11, 13, 14) under multiplication modulo 15. Then order of the element 7 is: (A) 3 (B) 4 (C) 5 (D) None of these 71. Let G be a group and G' be the commutator subgroup of G. Then choOse the correct statement: (A) G is a normal subgroup of G. (B) G/G is Abelian. (C) If M is a normal subgroup of G such that G/M is Abelian, then G c M. (D) All of these 72. Let P, (1) be a vector space of all polynomials of degree n. Then: (A) dim P, (1) = n =l (B) dim P, () =n (C)dim P, (1) = n +1 (D) None of these 73. Let G= S,, n 2 5; then G for k=1, 2, 3,.. Contains every..... Of S. (A) 3-cycle (B) 4-cycle (C) 5-cycle (D) None of these 74. Which of the statements is correct ? (A) G is solvable G= (e) for some integer k (B) G) = (e) for some integer k G is solvable. (C) Both (A) and (B)) (D) None of these

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