JEE Mains · Maths · STD 11 - 7. binomial theoram
If \((27)^{999}\) is divided by \(7\), then the remainder is
- A \(1\)
- B \(2\)
- C \(3\)
- D \(6\)
Answer & Solution
Correct Answer
(D) \(6\)
Step-by-step Solution
Detailed explanation
\(\frac{{28 - {1^{999}}}}{7} = \frac{{28\lambda - 1}}{7}\) \( \Rightarrow \quad \frac{{28\lambda - 7 + 7 - 1}}{7} = \frac{{7(4\lambda - 1) + 6}}{7}\) \(\therefore \quad \operatorname{Rem}=6\)
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