67,  146, 363, 10003 are not perfect squares as they leave remainder 3,2,3 and 3 respectively, when divided by 4,

635, 98, 122 are not perfect squares as they leave remainder 2 when divided by 3.

635,98,122 are not perfect squares as they leave remainder 2 when divided by 3.

is the least number leaves remainder 1when divided by 2,3,4,5,6,7,8,9,10

If a polynomial f (x) is divided by (x - 3) and (x - 4) it leaves remainders as 7 and 12 respectively, then find the remainder when f (x) is divided by (x-3)(x-4) .