JAMB 1995 · UME · Q1

Calculate 33105−144253310_5 - 1442_5.

Worked solution (try it first)
  1. Change to base ten: 33105=375+75+5=4553310_5 = 375 + 75 + 5 = 455 and 14425=125+100+20+2=2471442_5 = 125 + 100 + 20 + 2 = 247.
  2. Subtract: 455−247=208455 - 247 = 208.
  3. Change back: 208=1×125+3×25+1×5+3208 = 1 \times 125 + 3 \times 25 + 1 \times 5 + 3, so the answer is 131351313_5, option A.

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