Q for X

VITEEE 2015 Guidance › Olympiad Stuff questions › Q for X

G.C.D of (m,n)=1

1) x â‰¡3 (mod n)
x â‰¡2 (mod m)

Find x.

Got it from a frnd.

#Mathematics #Olympiad Stuff

UP 0 DOWN 0 0 6
Post on FacebookPost anonymously?

6 Answers

21

Arnab Kundu ·2012-01-26 07:00:58

Use Chinese remainder Theorem
http://www.cut-the-knot.org/blue/chinese.shtml

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Nana Dubey ·2012-01-26 10:16:59

Hey I never heard of a chinese reminder theorem ..? is it in a chinese menu ? lols..
ok jokes apart do tell me in simple terms
thank you

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

Arnab Kundu ·2012-01-27 05:32:27

Folow the link please to get the answers to your questions

UP 0 DOWN 0
Post on FacebookPost anonymously?

7

Sigma ·2012-01-27 08:08:59

Well, this q was asked in The kvpy interview to a cls 11 student.

UP 0 DOWN 0
Post on FacebookPost anonymously?

7

Sigma ·2012-01-31 06:49:37

@ Arnab, i can't get the ans.. can u give this sum a try?

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

Arnab Kundu ·2012-01-31 10:17:31

Let integers n^-1 and m^-1 such that
nn^-1â‰¡1(mod m)
mm^-1â‰¡1(mod n)

By Chinese Remainder theorem,
xâ‰¡2nn^-1+3mm^-1(mod mn)

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω