DMCA
Contact
Privacy Policy

Home » Case 2: Both A and B are selected - Decision Point

Case 2: Both A and B are selected - Decision Point

📅 May 4, 2026 👤 scraface

May 04, 2026

Content is being prepared. Please check back later.

📚 You May Also Like These Articles

📌 4k \equiv 3 \pmod{5} \implies k \equiv 2 \pmod{5} \quad \text{(since } 4^{-1} \equiv 4 \pmod{5}, \text{ so } k \equiv 4 \cdot 3 = 12 \equiv 2 \pmod{5})

📌 Thus, \( k = 5m + 2 \), so \( n = 10(5m + 2) + 4 = 50m + 24 \). The smallest positive \( n \) is \( n = 24 \). Check: \( 24^2 = 576 \), ends in 76 — valid.

📌 Now consider \( n \equiv 6 \pmod{10} \): \( n = 10k + 6 \).

📌 n^2 = 100k^2 + 120k + 36 \equiv 20k + 36 \pmod{100}

📌 Set \( 20k + 36 \equiv 76 \pmod{100} \):

📌 20k \equiv 40 \pmod{100} \implies k \equiv 2 \pmod{5}

📌 So \( k = 5m + 2 \), \( n = 10(5m + 2) + 6 = 50m + 26 \). Smallest \( n = 26 \). Check: \( 26^2 = 676 \), ends in 76 — valid.

📌 Between 24 and 26, the smaller is 24. Therefore, the smallest positive integer whose square ends in 76 is \( \boxed{24} \).

🔥 Popular Posts

burnt toast
burnt toast theory
burton cummings
busiest airports in the us
busiest malls in the world
business ideas business
business process monitor
bustan amsterdam avenue
buster crabbe
butcher and blackbird

📝 Recent Posts

embassy suites omaha ne
jake's 58 casino
cabin rentals sevierville
manor vail lodge
hampton inn kalispell
hotels arlington tx
holiday inn express nashville airport
aloft cleveland
hotel palomar philly
box house hotel brooklyn

© 2026 Decision Point · Powered by WordPress

Disclaimer: This website operates exclusively as an informational archive. Content consists of publicly available international death records, condolence statements, and memorial information. The site does not publish real-time news coverage, live reporting, or entertainment content.