JEE Mains · Maths · STD 11 - 7. binomial theoram
The remainder when \(7^{2022}+3^{2022}\) is divided by 5 is.
- A \(0\)
- B \(2\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(C) \(3\)
Step-by-step Solution
Detailed explanation
\(7^{2022}+3^{2022}\) \(=(49)^{1011}+(9)^{1011}\) \(=(50-1)^{1011}+(10-1)^{1011}\) \(=5 \lambda-1+5 K -1\) \(=5\,m -2\) Remainder \(=5-2=3\)
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