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
Answer: Option D
Solution(By Examveda Team)
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
This Question Belongs to Arithmetic Ability >> Problems On Numbers
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