If the number 756534P57Q is divisible by 72, then find the value of 2P + Q.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 18.
72 = 8 × 9, the number must be divisible by both 8 and 9
The last 3 digits are 57Q must be divisible by 8
If Q = 6 then 57Q = 576 (Divisible by 8)
Sum of digits = 7 + 5 + 6 + 5 + 3 + 4 + P + 5 + 7 + 6 = 48 + P
If P = 6 then 48 + P = 54 (Divisible by 9)
2P + Q = 2(6) + 6 = 18