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:

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D
11

Let the ten's digit be x and unit's digit be y. then, number = 10x +y

Number obtained by interchanging the digits = 10y + x

$∴ (10 x + y) + (10 y + x) = 11 (x + y),$ which is divisible by 11

Suggest Corrections

Similar questions

Q. 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

Q. A number consist of two digits. If the digits interchange their places and the new number is added to the original number becomes two times of the original number. Find the number.

The digit of a two digit number differ by 3. If the digits are interchange and the resulting number is added to the original number we get 143. What can be the original number?

Q. The digits of a two-digit number differ by

3

. If the digits are interchanged and the resulting number is added to the original number, we get

143

. What can be the original number?

Q. The digits of two - digits number is differ by

5

. If the digits are interchanged and the resulting number is added to the original number , we get

99

. Find the original number .

Join BYJU'S Learning Program

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:

The correct option is D 11 Let the ten's digit be x and unit's digit be y. then, number = 10x +y Number obtained by interchanging the digits = 10y + x ∴(10x+y)+(10y+x)=11(x+y), which is divisible by 11

The correct option is D
11

Let the ten's digit be x and unit's digit be y. then, number = 10x +y

Number obtained by interchanging the digits = 10y + x

$∴ (10 x + y) + (10 y + x) = 11 (x + y),$ which is divisible by 11