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 Ram's present age?
I) Five years ago, Ram's age was double that of his daughter's age at that time.
II) Present ages of Ram and his daughter are in the ratio of 11:6 respectively.
III) Five years hence, the respective ratio of Ram's age and his daughter's age will become 12:7


A) Only I and II

B) Only II and III

C) Only I and III

D) Any two of the three

E) None of these

Answer:

Option D

Explanation:

II). Let the preset ages of Ram and his daughter be $11x$ and $6x$ years respectively.

I) $5$ years ago, Ram's age $= 2 \times$ His daughter's age.

III) $5$ years hence, Ram's age / Daughter's age $=\frac{12}{7} $.
Clearly, any two of the above will give Ram's present age.
$\therefore$ Correct answer is (D).