2015 · Q82
The last digit in the expansion of 17²56} is
Elementary MathematicsNumber System
- A9
- B7
- C3
- D1
Explanation
This tests cyclicity of last digits. Powers of 17 end in 7, 9, 3, 1 repeating with period 4 (17¹→7, 17²→9, 17³→3, 17⁴→1). Since 256 is divisible by 4, 17²⁵⁶ completes the cycle and ends in 1. Option (b) 7 is the trap from using the first power's digit. Hence option (d).