Question

what least number will replace the (*) 58*9 so that the number will be exactly divisible by 11​

Answer 1

$\huge\mathfrak\red {Answer:}$

Divisibility rule of 11

Any number whose absolute difference between the sum of digits in the even positions and the sum of digits in the odd positions is 0 or divisible by 11 is itself also divisible by 11.

Even: 8 + 9 = 17

If we put 1 in place of star in trail and error method,

We'll get the difference as 17 - 6 = 11

Therefore the number which should replace the (*) is

1

$\mathfrak\purple {Hope\: this\: helps\: you...}$

$\mathfrak\green {Hope\: you\: have\: a\:nice\:day\:ahead...}$