If the 9-digit number 957x5y6z3 is divisible by 33, then what is the maximum value of (x + y + z)?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 25.
33 = 3 × 11
According to the divisibility rule of 11,
9 + 7 + 5 + 6 + 3 = 5 + x + y + z
⇒ x + y + z = 25
Now, the sum of digits = 9 + 5 + 7 + x + 5 + y + 6 + z + 3 = 35 + x + y + z
= 35 + 25 = 60 (Divisible by 3)
Hence, the required value is 25.