20june2019 paper1 Q19
0. If the number 345xy is divisible by 90, then (x + y)?
- Option : D
- Explanation : Any number, that is divisible by 90, must be A
divisible by 9 and 10.
Now, for divisibility by 10, last digit of that number must be '0'. And for divisibility by 9 sum of digits of that number must be divisible by 9.
Here given number is 345xy
To divisible by 10, y = 0
To divisible by 9, (3 + 4 + 5 + x + 0) must be a multiple of 9.
12 + x = 9 x 2
x = 18-12 = 6
Hence,x+y = 6 + 0 = 6.
