JAMB 2003 · UME · Q6

The sum of four numbers is 121451214_5. What is the average expressed in base five?

Worked solution (try it first)
  1. Change to base ten: 12145=125+50+5+4=1841214_5 = 125 + 50 + 5 + 4 = 184.
  2. The average of four numbers is 184÷4=46184 \div 4 = 46.
  3. Change back: 46=1×25+4×5+146 = 1 \times 25 + 4 \times 5 + 1, so the average is 141 in base five, option C.

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