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Question

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 –

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.

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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