Q8
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:
A.
3
B.
5
C.
9
D.
11
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
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