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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)
    10
  • b)
    7
  • c)
    11
  • d)
    9
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A number consists of two digits. If the digits interchange places and...
Let the ten's digit be x, and the 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.
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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)10b)7c)11d)9Correct answer is option 'C'. Can you explain this answer?
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