Direction:- Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data your knowledge of Mathematics to choose between the possible answers What is the two digit number in which unit’s place digit is greater than digit at ten’s place? I. The difference between the two digits of the number is 2 II. The sum of the two digits of the number is 8

Direction:- Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data your knowledge of Mathematics to choose between the possible answers

What is the two digit number in which unit’s place digit is greater than digit at ten’s place?

I. The difference between the two digits of the number is 2

II. The sum of the two digits of the number is 8

A The statement I alone is sufficient to answer the question but the statement II alone is not sufficient

B The statement II alone is sufficient to answer the question but the statement I alone is not sufficient

C Both statements I and II together are needed to answer the question

D Either to statement I alone or statement II alone is sufficient to answer the question

E You cannot get the answer from the statement I and II together but need even more data

Solution

Correct Answer: Option C

Let the digit at unit place of the two digit number be x and that at ten’s place be y.

From statement I,

⇒ x – y = 2

This relation can be true for many two digits number, like 13, 24, 35…………

∴ The statement I alone is not sufficient to answer the question

From statement II,

x + y = 8

This relation can be true for many two digits number, like 17, 28, …..

∴ The statement II alone is not sufficient to answer the question

Combining I and II,

x – y = 2

x + y = 8

On solving these two relations, we get

x = 5 and y = 3

Thus, number is 35.

∴ Both statements I and II together are needed to answer the question

Solution

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