If the eight-digit number 9534x37y is divisible by 24, then what is the value of (3x + y), for the largest value of x?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 30.
For divisibility by 8: last 3 digits = 37y
y = 6 → 376 ÷ 8 = 47
For divisibility by 3:
Sum = 9 + 5 + 3 + 4 + x + 3 + 7 + 6 = 37 + x
To be divisible by 3, x = 8 (max possible)
3x + y = 3 × 8 + 6 = 30