Question 22
Each of the places between the numbers below must be filled with one of the operational signs: $+, -, \times, \div$ without repetition. No parentheses are allowed.
$1\_\,2\_\,3\_\,4\_\,5=X$
Let $\lfloor X\rfloor$ denote the greatest integer not exceeding X. For example: $\lfloor3.74\rfloor=3$, $\lfloor-3.14\rfloor=-4$. What is the greatest possible value for $\lfloor X\rfloor^2$?
$1\_\,2\_\,3\_\,4\_\,5=X$
Let $\lfloor X\rfloor$ denote the greatest integer not exceeding X. For example: $\lfloor3.74\rfloor=3$, $\lfloor-3.14\rfloor=-4$. What is the greatest possible value for $\lfloor X\rfloor^2$?