Instructions

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 rovided in the statements are sufficient to answer the question. Read both the statements and-

Give answer 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
Give 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
Give answer c: if the data either in statement I alone or in statement II alone is sufficient to answer the question.
Give answer d: if the data in both the statements I and II together are not sufficient to answer the question.
Give answer e: if the data in both the statements I and II together are necessary to answer the question.

Question 144

What is the two digit number ?
I. Difference between the digits is 7.
II. Sum of the digits is 11.

Solution

Let the number be $$10x + y$$

I : $$x - y = 7$$ or $$y - x = 7$$

II : $$x + y = 11$$

I & II : Solving $$x - y = 7$$ and $$x + y = 11$$

        => $$x = 9 , y = 2$$

          Solving $$y - x = 7$$ and $$x + y = 11$$

        => $$x = 2 , y = 9$$

Hence, the possible numbers are 92 and 29. Since, unique answer is not determined

Ans - (D)


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