Explain why? — task. Maths CBSE Live product, Class 8 (2025-26).

A number is divisible by \(9\) has digits summing to 81. If one digit is removed, and the new number is no longer divisible by \(9\). Explain why this happens?

Removing a digit changes the place value, and divisibility by \(9\) depends on place value.
Removing the digit changes the number of digits, which affects divisibility by \(9\).
The removed digit was always an odd number, so the number loses divisibility by \(9\).
Divisibility by \(9\) depends on the sum of the digits; removing a digit changes its sum.

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