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      Question

      The difference between the two digits of a two-digit

      number is 5. What is the number? I. The digit at the unit’s place is bigger than the ten’s digit. II. The sum of the two digits is 9. Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer –
      A If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Correct Answer Incorrect Answer
      B If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Correct Answer Incorrect Answer
      C If the data either in statement I alone or statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
      D If the data in both statement I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
      E If the data in both statement I and II together are necessary to answer the question. Correct Answer Incorrect Answer

      Solution

      From I and II, we get x – y = 5……….(i) x + y = 9……….(ii) Solving (i) and (ii), we get ∴ x = 7 y = 2 So, the number is either 72 or 27 But the unit’s place is larger than the ten’s place. So, from statement I and II we can find the exact number is 27.

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