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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Divam Kumar posted an Question
December 03, 2020 • 20:53 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
70. consider a group icr a group u15) = {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 t
70. Consider a group Icr a group U15) = {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 Let G be a group and G be the commutator subgroup of G. nen od correct statement: (A) G is a normal subgroup o1 G. (B) G/G' is Abelian. M Is a nornmal subgroup of G such that G/M is Abelian, then G' CM. (D) All of these 72 Let P, (1) be a vector space of all polynomials of degree n. Then : (A) dim P, (0) = n-1 (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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