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Divam Kumar posted an Question
December 12, 2020 • 17:05 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
In its decimal 84. a positive integer is divisible by 9 iff the sum of the digis representation is divisible by: (a) 3 (b) 9 (c) 81 (d) none of these n inc 83.
in its decimal 84. A positive integer is divisible by 9 iff the sum of the digis representation is divisible by: (A) 3 (B) 9 (C) 81 (D) None of these n inc 83. Ifp is a prime and a be arny integer such that pia. Then the soluto congruence ax bmod p) is given by: (A) TaP- modp (B) p mod a (C) xaPmodp (D) None of these 86. The integer p is prime if and only if: ( LP-1=-D(mod p) C)p-1= 21 (mod p) (B) P-1 1(mod p (D) None of these 8 Letp be a and n be uny integer, then p 1y'"(mod p). 2p (A) prime, positive (B) odd, positive (C) odd, negative (D) None of these 88. The quadratic congrucnce r =-I{mod p) P 1s a has a solution iff p-1 (mod 4) (A) composite (B) prime (C)perfeet (D) None of these 89. Ifnis not divisible by any prime vn. then n is a'an (A) Even (B) Odd (C) Prime (D) None of these
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