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505

Q:

A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by

  • 1
    11
  • 2
    9
  • 3
    5
  • 4
    3
  • Show Answer
  • Workspace

Answer : 1. "11"
Explanation :

Let the number be 10x + y

After interchanging the digits,

the number obtained = 10y + x

According to the question,

Resulting number

= 10x + y + 10y + x

= 11x + 11y

= 11 (x + y)

which is exactly divisible by 11.

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