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The sum of a two digit number and the number obtained by reversing its digits is a square number. How many such numbers are there ?
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- 5
- 6
- 7
- 8
Correct Option: D
If the number be 10x + y then number obtained by reversing the digits = 10y + x.
∴ 10x + y + 10y + x = 11 (x + y)
If x + y = 11 the possible pairs are= (2, 9), (3, 8), (4, 7) and (5, 6)
∴ Required answer = 8
