Divam Kumar posted an Question
December 12, 2020 • 18:06 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Iifp= 1 (mod 4) org = 1(mod 4) 1-1 ifp= g = 3(mod 4) 6 1pahid gy are distinct then (8) odd, prime (a) even, prime (d) none of these (c) odl composite 37 xa a(mo

Iifp= 1 (mod 4) org = 1(mod 4) 1-1 ifp= g = 3(mod 4) 6 1pahid gy are distinct then (8) odd, prime (A) even, prime (D) None of these (C) odl composite 37 xa a(mod 2"), n 23 has a solution if and only if: (B) a=1(mod 8) A) a 0(mod 8) (C) a 2(mod 6) (D) None of these 38. a(mod 4) has a solution if and only if: (A) a=D(mod 4) C) a=1(mod 4) (B) a-1mod 3) (D) None of these 39. There are many f the fomm 8-1. (A) inficitely. prines (B) inlinitely, composite (C) finitely, composile (D) None of these 40, theorem states that any positive tnteger n can be expressed as a sum of four squares (A) Fuler's (B) Fermat's (C) Lagrange's (D) None of these 41. Ifm and n are relatively prime, then (A) (m, n)-(om)- (n) (B) (m, n)-o (m)+o () (C) (m, n)- (m).ó () (D) Nonc of these 42 Choose the comoct answcr (A) ()- po(p) (B) (p)- p'o(p) (C) (p) = p (D) None of these XEH-3-MATI8)8 (8

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