If the 5-digit number 750PQ is divisible by 3, 7 and 11, then what is the value of P + 2Q ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 17
Calculations:
Let the value of P and Q be 9
Dividing 75099 by 3 × 7 × 11 = 231, we get remainder = 24
Hence, original number = 75099 - 24 = 75075
P = 7 and Q = 5
Required value = P + 2Q
⇒ 7 + 2 × 5 = 7 + 10
⇒ 17