Question

Four numbers are given as input to a special box. The output of each case is given in the center. What is the missing output?

Answer 1

Let's try to identify the pattern of the given inputs.


$=4÷1\times 2+3$
According to PEMDAS:
$=4\times 2+3$
$=8+3$
$=11$


$=3÷5\times 4+7$
According to PEMDAS:
$=\frac{3}{5}\times 4+7$
$=\frac{12}{5}+7$
$=\frac{12+35}{5}$
$=\frac{47}{5}$


$=9÷6\times 3+12$
According to PEMDAS:
$=\frac{9}{6}\times 3+12$
$=\frac{3}{2}\times 3+12$
$=\frac{9}{2}+12$
$=\frac{9+24}{2}$
$=\frac{33}{2}$

Hence, the missing number is $\frac{33}{2}$.