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Question

In each of the following questions, a question and two statements I and II are given. You have to decide whether the date given in the statements are sufficient to answer the question or not.

What is the value of a two digit number?

Statement I:  The sum of the digits of the number is 9.

Statement II:  The digit at the tens place is 125% of the digit at the unit place.

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  Let the number be 10x + y Now, x + y = 9……..(i) ∴ x = 125/100 y = 5/4 y………(ii) From (i) and (ii), we get x = 5, y = 4 ∴ Required number = 54

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