Question

State whether the given statement is True or False

If x, y, and z are prime numbers and x < y < z and xz is even, then the value of x is even.

• A. True
• B. False

Answer 1

The correct option is A True

If $xz$ is even, then $x$ is even or $z$ is even. Since $x<z,x$ must equal $2$, because $2$ is the smallest and only even prime number.