Mathematics · Number Theory

Let the number (22)2022 + (2022)22 leave the remainder α when divided by 3 and β when divided by 7. Then (α2 + β2) is equal to:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Practice full-length Mathematics mock tests with real exam timers, instant score analysis, and all-India ranking.

Chapter Practice

Want more practice questions on Number Theory?

Solve complete topic-wise tests with detailed solutions on GkGet.

Recommended practice questions in Mathematics · Number Theory

If n = 22 × 53 × 7, then what is the total number of divisors of n?

Where σ(n) denotes the sum-of-divisors function, which statement is true for co-prime integers p and q?

If the prime factorization of 2700 is equal to 22 × 33 × pa, then the value of p - a is:

Related Practice Questions