If I add a 2 digit number and the number formed by swapping digits, the number is surely divisible by ___

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None of These

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Solution

The correct option is C
11

Let a be the tens and b be the units digit of the original number.

Therefore the sum will be : (10a + b) + (10b + a) = 11a + 11b

= 11 (a + b)

Which is always divisible by 11.

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If I add a 2 digit number and the number formed by swapping digits, the number is surely divisible by ___

The correct option is C 11 Let a be the tens and b be the units digit of the original number. Therefore the sum will be : (10a + b) + (10b + a) = 11a + 11b = 11 (a + b) Which is always divisible by 11.

The correct option is C
11

Let a be the tens and b be the units digit of the original number.

Therefore the sum will be : (10a + b) + (10b + a) = 11a + 11b

= 11 (a + b)

Which is always divisible by 11.