In each question, a question is followed by two statements I and
II. You have to decide whether the data given in the statements is sufficient to answer the question. What is the two-digit number?
I. The sum of its digits is 11 and the number is 9 more than the number obtained by reversing its digits.
II. The tens digit is 1 more than the units digit and the number is divisible by 5.

Let the number be 10x + y (x = tens digit, y = units digit). Statement I: x + y = 11 (10x + y) − (10y + x) = 9 → 9x − 9y = 9 → x − y = 1 Solve: x + y = 11 x − y = 1 Add: 2x = 12 → x = 6, y = 5 → number = 65 → unique. So I alone is sufficient. Statement II: Number divisible by 5 → y = 0 or 5 x = y + 1 If y = 0 → x = 1 → number = 10 (tens digit not strictly “1 more” than 0? It is; but check next) If y = 5 → x = 6 → number = 65 Both satisfy conditions? Check “two-digit number” and “tens digit is 1 more than units digit” and “divisible by 5”: 10 → digits 1 and 0 → 1 is 1 more than 0, divisible by 5 → valid 65 → 6 is 1 more than 5, divisible by 5 → valid So there are two possible numbers. II alone is not sufficient. Only I alone is sufficient.