Binomial

AIEEE Guidance › Algebra questions › Binomial

If 7^103 is divided by 25,Then find the remainder?

#Mathematics #Algebra

UP 0 DOWN 0 0 7
Post on FacebookPost anonymously?

7 Answers

1357

Manish Shankar ·2009-10-02 23:59:01

7^103=7.(7²)⁵¹=7.(50-1)⁵¹

this may help

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Rocky Crazy ·2009-10-10 11:28:24

Yeah bhaiya i tried the same way..Bt i m getting 7 as answer bt answer given is 18..Kindly tell me how to proceed further..

Thanks fr ur reply..

Frnds u can also help..please..if can solve..

UP 0 DOWN 0
Post on FacebookPost anonymously?

3

msp ·2009-10-10 11:40:24

7²â‰¡(-1)mod(25)

7¹⁰²â‰¡-1mod(25)

7=-18mod(25)

7¹⁰³=18mod(25)

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Rocky Crazy ·2009-10-10 12:14:00

Whts dat??Cant we use binomial??Nyways thanks fr ur try...

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

$ourav @@@ -- WILL Never give ·2009-10-10 18:52:27

msp has done using congruences....check out congruences in fundamentals in forum...n msp has done exactly correct

UP 0 DOWN 0
Post on FacebookPost anonymously?

3

msp ·2009-10-10 19:50:35

dude the given no is 25(K)-7 (EXPAND BY BINOMIAL)

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Rocky Crazy ·2009-10-10 22:11:47

Thanks alot!!

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