Number System · Question 28 · Hard
What is the remainder when 7^85 is divided by 342?
- 1
- 49
- 341
- 7
Answer and explanation
Answer: D. 7
Explanation: 7^3 = 343 = 342 + 1, so 7^3 leaves remainder 1. Then 7^85 = (7^3)^28 × 7 leaves remainder 1 × 7 = 7.
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