The number 823p2q is exactly divisible by 7, 11 and 13. What is the value of (p - q)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 5.
If a number is divisible by 7, 11 and 13 then it must be a multiple of 1001.
pqr × 1001 = pqrpqr.
823p2q can be written as 823823 then it will be divisible by 1001.
On comparing then we get,
p = 8 and q = 3
p - q = 8 - 3 = 5.