If a 9-digit number 937X728Y6 is divisible by 72, then one of the possible values of X + Y is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 3.
72 = 8 × 9
Divisibility rule of 8: A number is divisible by 8 if its last three digits are either 000 or form a number that is divisible by 8
last 3 digits: 8Y6
Y must be 1
Divisibility rule of 9: A number is divisible by 9 if the sum of its digits is divisible by 9
Sum of digits: 9 + 3 + 7 + X + 7 + 2 + 8 + 1 + 6 = 43 + X
X = 2
Value of X + Y = 2 + 1 = 3