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If the 5-digit number 750PQ is divisible by 3, 7 and 11, then what is the value of P + 2Q?
Question

If the 5-digit number 750PQ is divisible by 3, 7 and 11, then what is the value of P + 2Q?

A.

17

B.

15

C.

18

D.

16

Correct option is A

LCM of 3, 7 & 11 = 231
The given 5-digit number is exactly divisible 231, then the possible value of P and Q be 7 and 5 respectively.
Now,
(P + 2Q) = 7 + 2 ×5 = 17

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