If a nine-digit number 785x3678y is divisible by 72, then the value of (x - y) is :
A0
B-2
C-1
D2
Answer:
D. 2
Read Explanation:
number 785x3678y is divisible by 8 If a number is divisible by 72 then the number will be divisible by 8 and 9 A number is divisible by 8 if the last three digits are divisible by 8. A number is divisible by 9 if the sum of its digits is divisible by 9. 78y is divisible by 8 y = 4, the number is divisible by 8 number 785x3678y is divisible by 9 7 + 8 + 5 + x + 3 + 6 + 7 + 8 + y is divisible by 9 = 44 + x + y is divisible by 9 = 44 + x + 4 is divisible by 9 = 48 + x is divisible by 9 Nearest integer to 48 is 54 which is divisible by 9 48 + x = 54 x = 6 x – y = 6 – 4 = 2