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