Binomial Theorem
Remainder using Binomial Expansion
Grade None
Question:
<p>If <i>93<sup>199</sup></i> is divided by 162, the remainder is</p>
<p>(a) 8</p>
<p>(b) 4</p>
<p>(c) 1</p>
<p>(d) 0</p>
Step-by-Step Solution
Key Concept: Use binomial expansion to express powers in terms of divisor and find remainder systematically.
<p><strong>Solution:</strong></p><p>Express 93 and 162 using binomial expansion to find the remainder.</p>
Correct Answer: d