JMO -- STD V and STD VI

a, b and c not equal to zero.


Answer:
 let a + b + c = k
SO, y =          100a + 10b + c
                      100a + 10c + b
                      100b + 10a + c
                      100b + 10c + a
                      100c + 10a + b
                      100c + 10b + a

or, y = 100 x 2k + 10 x 2k + 2k
or, y = 2k (100 + 10 + 1)
or, y = 2k x 111

or, y = 2k x 37 x 3
or y = 6k x 37


so, y is always divisible by 37