Replace * by the smallest digit so that 723 *56* is divisible by 6.

Options
a) 1
b) 2
c) 3
d) 4

Solution

As per question
723 *56*
Divisible by 6 (2 x 3) divisible by both 2 and 3
Divisible by 2 = Last digit is even
From options : Number may be 2 and 4
Divisible by 3 = sum of digits to be divisible by 3
For positive value of a the number should be equal to or more than 25
Number divisible by 3 after 25 is 27
23 + 2a = 27
2a = 27 – 23
2a = 4
a = 4/2 = 2

Answer: 2