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A number consists of two digits. If the number formed by interchanging the digits is added to original number, the resulting number (i.e. the sum) must be divisible by
  • a)
    11
  • b)
    9
  • c)
    5
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A number consists of two digits. If the number formed by interchangin...
Let the number be 10x + y After interchanging the digits, the number obtained = 10y + x.
As per question Resulting number
= 10x + y + 10y + x
= 11x + 11y = 11 (x + y)
Which is exactly divisible by 11.
so 11 is the answer.
Hence, option (A) is correct.
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A number consists of two digits. If the number formed by interchanging the digits is added to original number, the resulting number (i.e. the sum) must be divisible bya)11b)9c)5d)3Correct answer is option 'A'. Can you explain this answer?
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