Question
Download Solution PDFIf the 5-digit number 750PQ is divisible by 3, 7 and 11, then what is the value of P + 2Q?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Five-digit number 750PQ is divisible by 3, 7 and 11
Concept used:
Concept of LCM
Calculation:
The LCM of 3, 7, and 11 is 231.
By taking the largest 5-digit number 75099 and dividing it by 231.
If we divide 75099 by 231 we get 325 as the quotient and 24 as the remainder.
Then, the five-digit number is 75099 - 24 = 75075.
The number = 75075 and P = 7, Q = 5
now,
P + 2Q = 7 + 10 = 17
∴ The value of P + 2Q is 17.
Last updated on Jul 9, 2025
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