Question

If 37y4 is exactly divisible by 9, then the least value of y is

(a) 2

(b) 3

(c) 1

(d) 4

Answer 1

$\because$ 37y4 is exactly divisible by 9.

$\therefore$ The sum of its digits must be divisible by 9

$\therefore$ 3 + 7 + y + 4 or 14 + y is divisible by 9

Least value of y = 4

$\therefore$ As 14 + 4 = 18 is divisible by 9 (d)