Divam Kumar posted an Question
December 12, 2020 • 18:07 pm 30 points
  • IIT JAM
  • Mathematics (MA)

27. congruence relations are (is) (b) symmetric (a) reflexive (d) all of these c) transitive 28. 1fp is an odd prime and a is any integer such that (a, p)- 1, t

27. Congruence relations are (is) (B) Symmetric (A) Reflexive (D) All of these C) Transitive 28. 1fp is an odd prime and a is any integer such that (a, p)- 1, then the Legendre symbol is defined as: 1 ifa=1(mod p) -1 ifa--1 (mod p) 1ifa=Omod p 0 otherwise 1 ifaisaquadratic residue (mod p) -1 ifaisa quadratic non-residue (mod p) (D) None of these 29 Ifp is an odd prime and a and b are any integers co-prime to p, then the Legendre symbol holds the following: A) (B) P (C) Both (A) and (B) (D) None of these 30. 1fp is an odd prime and a and b are any integers co-prime top, then the Legendre symbol holds the following: (D) All of these

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