A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by which of the following:

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answer is D.

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Detailed Solution

Concept- For the original number, let the digit in the unit place be

y

and the digit in the tens place be

x

. Applying this theory, the real number is

10 x + y

. On interchanging the digits, the next number becomes

10 y + x

. Add those numbers and test their sum’s divisibility through the numbers given in the options.
We need to find that the resulting number is divisible by which number in the options. For the authentic wide variety, permit the digit within the gadgets area be y and the digit inside the tens area be x.
Using this, the real number is

10 x + y

.
Now, even as we interchange the digits, for the brand new quantity, the digit in the unit's location is x and the digit within the tens area is y..
Using this, the next number is