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1. What number when divided by 2,5,7,11 and 17 you'll get -17,-11, -7,-5 and -2 respective remainders?

1. What number when divided by 2,5,7,11 and 17 you'll get -17,-11, -7,-5 and -2 respective remainders?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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solve the question 1 with explanation asap within 10 mins or else downvote
Instructions: Comprehensively solve/explain the following. Show complete solutions/explanations. 1. What number when divided by 2, 5, 7,11 and 17 you'll get -17,-11,-7,-5 and-2 respective remainders? 2. Find the remainder of 156! 10024497 mod157 using Fermat Theorem and Wilson's Theorem. 3. Find the residue of 20211202 mod2022 using Euler's Theorem. 4. Find all the solutions of the congruence 5x = 10mod15. 5. Find the general solutions of 56x +72y 40. 6. Find the units' digit of 2022202120z0 7. Develop a schedule for a round-robin tournament with 5 teams. 8. Compute for: a. p(561) b. o(7!)
Transcribed Image Text:Instructions: Comprehensively solve/explain the following. Show complete solutions/explanations. 1. What number when divided by 2, 5, 7,11 and 17 you'll get -17,-11,-7,-5 and-2 respective remainders? 2. Find the remainder of 156! 10024497 mod157 using Fermat Theorem and Wilson's Theorem. 3. Find the residue of 20211202 mod2022 using Euler's Theorem. 4. Find all the solutions of the congruence 5x = 10mod15. 5. Find the general solutions of 56x +72y 40. 6. Find the units' digit of 2022202120z0 7. Develop a schedule for a round-robin tournament with 5 teams. 8. Compute for: a. p(561) b. o(7!)
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