Can we do it?

Logic Level 2

$\bigcirc + \bigcirc + \bigcirc = \text{Composite}$

$\bigcirc - \bigcirc - \bigcirc = \text{Composite}$

$\bigcirc \times \bigcirc \times \bigcirc = \text{Composite}$

$\bigcirc \div \bigcirc \div \bigcirc = \text{Composite}$

Only 1-9 distinct digits are allowed to use in every four cases. Can we get a composite number in all four cases?

No Yes

1 solution

Munem Shahriar
Oct 15, 2017

$2+4+6 = 12 \longrightarrow \text{Composite}$

$10-4-2 = 4 \longrightarrow \text{Composite}$

$2 \times 3 \times 1 = 6 \longrightarrow \text{Composite}$

$8 \div 2 \div 1 = 4 \longrightarrow \text{Composite}$

Hence $\color{#20A900} \boxed{\text{it is possible}}$