MathDB
2021 Individual #18

Source:

April 28, 2022
2021 Individual

Problem Statement

The buttons {×,+,÷}\{\times, +, \div\} on a calculator have their functions swapped. A button instead performs one of the other two functions; no two buttons have the same function. The calculator claims that 2+3÷4=102 + 3 \div 4 = 10 and 4×2÷3=54 \times 2 \div 3 = 5. What does 4+3×2÷14 + 3 \times 2 \div 1 equal on this calculator?
<spanclass=latexbold>(A)</span>4<spanclass=latexbold>(B)</span>5<spanclass=latexbold>(C)</span>7<spanclass=latexbold>(D)</span>9<spanclass=latexbold>(E)</span>10<span class='latex-bold'>(A) </span>4\qquad<span class='latex-bold'>(B) </span>5\qquad<span class='latex-bold'>(C) </span>7\qquad<span class='latex-bold'>(D) </span>9\qquad<span class='latex-bold'>(E) </span>10