Question : If the six-digit number 479xyz is exactly divisible by 7, 11, and 13, then {(y + z) ÷ x} is equal to:
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
A 6-digit number in which a 3-digit repeat xyzxyz is divisible by 1001 and 1001 is divisible by 7, 11, and 13.
⇒ 479479 is divisible by 7, 11 and 13.
Comparing 479479 with 479xyz.
we get,
Now,
{(y + z) ÷ x}
= (7 + 9) ÷ 4
=
= 4
Hence, the correct answer is 4.