1.

If the sum of the digits of any number lying between 100 and 1000 is subtracted from the number, the difference is always divisible by1. 92. 123. 64. None of the above

Answer» Correct Answer - Option 1 : 9

Calculation

Numbers lying between 100 and 1000 will be three-digit numbers

Let the number be xyz

⇒ xyz = 100x + 10y + z

The sum of the digits = x + y + z

Subtracting the sum of the digits from the number we get,

(100x + 10y + z) - (x + y + z) = 99x + 9y

⇒ 9(11x + y) which is always divisible by 9



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