If the six-digit number 5z3x4y is divisible by 7, 11 and 13, then what is the value of (x + y - z )?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 4
If a number is divisible by 7, 11 and 13 then it must be divisible by the LCM of 7, 11 and 13(1001).
pqr × 1001 = pqrpqr.
From the above learning, we can say that,
5z3x4y = 543543.
On comparing we get,
x = 5, y = 3 and z = 4
x + y - z = 5 + 3 - 4 = 4.