[PDF] [PDF] Solving Modular Problems

x = {1, 5, 9, 13, } In-class Assignment 25 - 2 Another Equation to Solve ➢ 2x ≡ 4 (mod 8)



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[PDF] Solving Modular Problems

x = {1, 5, 9, 13, } In-class Assignment 25 - 2 Another Equation to Solve ➢ 2x ≡ 4 (mod 8)



[PDF] How to solve modular equivalences - Washington

Solving a Modular Congruence Now, we consider a congruence instead: Question: Solve the congruence 27y ≡ 10 (mod 4) Note: We can't just divide both 



[PDF] EXAM QUESTIONS - MadAsMaths

MODULUS FUNCTION EXAM QUESTIONS c) Hence, or otherwise, solve the inequality ( ) ( ) f x g x < Solve the following modulus equation 4 3 2 1 x x +



[PDF] Modular Arithmetic Practice - CMU Math

13 sept 2015 · Find the last digit of 7100 [Solution: 1] 7100 ≡ (72)50 ≡ 4950 ≡ (−1)50 ≡ 1 mod 10 3 (1992 AHSME 17) The two-digit integers form 19 to 92 



[PDF] 3 Congruence

The following theorem answers this question and also shows how to find the solution Theorem 3 10 If gcd(a, n)=1, then the congruence ax ≡ b mod n has a 



[PDF] C3 Functions - Modulus Functionsrtf - Physics & Maths Tutor

C3 Functions - Modulus Functions (d) Solve, for x in terms of a, the equation fg( x) = 3a This question discriminated well across all abilities with about 60 of 



[PDF] Modular Arithmetic Questions

Compute 515 (mod 7) and 713 (mod 11) 2 Find the last two digits of 7100 3 Prove that if x3 + y3 = z3 has a solution in integers, 



[PDF] Solutions

19 mar 2015 · Instructions: This exam has 17 questions for a total of 70 points and 4 bonus points so 3-1 ≡ −27 ≡ 55 (mod 82), and we can solve for

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