Missing number(s) Interview Question Redux

Question

The common interview problem of determining the missing value in a range from 1 to N has been done a thousand times over. Variations include 2 missing values up to K missing val

Answer 1

If the range is given to you well ahead, in this case range is [1,10] you can perform XOR operation with your range and the numbers given to you. Since XOR is commutative operation. You will be left with {3,6}

(1 2 3 4 5 6 7 8 9 10) XOR (1 2 4 5 7 8 9 10) ={3,6}