Question

Let T be the smallest positive integer which, when divided by 11, 13, 15 leaves remainders in the sets {7, 8, 9}, {1, 2, 3}, {4, 5, 6} respectively. What is the sum of the squares of the digits of T?

Answer 1

T is any of the number 15k + 4, 15k + 5 or 15k + 6

Case-I: If T = 15k + 4

∴ Sum of squares of digits of T = 1 + 64 + 16 = 81

Comments

How did you get value of k and t in each case