For what value of digit x is :

9142x a multiple of 4 ?

According to the divisibility of 4, if the two digit number formed by its ten's digit and unit digit is divisible by 4 then the number is divisible by 4.

9142x is divisible by 4

⇒ 2x is divisible by 4

⇒ 20 + x is divisible by 4

⇒ 20 + x = 20, 24, 28, 32, 36, 40,……………

⇒ x = 0, 4, 8, 12, 16,……………

Since x is a digit. So, x = 0, 4 or 8.