25

Part of 2018 India PRMO

Problems(1)

2018 preRMO p25 remainders divides by 11,13,15

Source:

T

be the smallest positive integers 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

number theorySumremainderDigits