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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 6. What is the number?

I. The digit at unit place is bigger than the ten’s digit.

II. The sum of the two digits is 8.

A If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. Correct Answer Incorrect Answer
B If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. Correct Answer Incorrect Answer
C If the data either in statement I alone or in statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
D If the data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer
E If the data even in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer

Solution

From (I) & (ii), we get x – y = 6…..(i) x + y = 8…..(ii) Solve (i) and (ii), we get ∴x = 7 ∴y = 1 So, the number is either 17 or 71. But statement (i) says that the unit digit is larger than the ten’s place. So, from statement (i) and (ii) we can find the exact number is 17.

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