Each of the questions given below consists of a question followed by three statements. Please study the question and the statements carefully and determine which of the statement(s) is/are necessary to answer the question.

1)

What is present age of X?

I) The sum of the ages of X and Y is 21 years.
II) The difference of the ages of X and Y is 5 years.
III) The prduct of the ages of X and Y is 104 years.


A) I and II only

B) II and III only

C) I and III only

D) Any of two of the three

E) None of these

Answer:

Option D

Explanation:

I) $X+Y=21$
II) $X-Y=5$
III) $XY=104$

Clearly, any two of three statement will give the answer. So, correct answer is (D)