Discussion Forum



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 the present age of Divya?
I) The ratio between the present ages of Divya and her brother Arun is 3:4 respectively.
II) After 5 years the ratio between the ages of Divya and Arun will be 4:5.
III) Arun is 5 years older than Divya.


A) I and II only

B) II and III only

C) I and III only

D) All I, II and III

E) Any two of the three

Answer:

Option E

Explanation:

I). Let the present ages of Divya and Arun be $3x$ years and $4x$ years.
II). After $5$ years, (Divya's age) : (Arun's age) $= 4:5$.
III). (Arun's age) = (Divya's age) $+5$.

From I and II, we get $\frac{3x+5}{4x+5}$ $=\frac{4}{5}$. This gives $x$.
$\therefore$ Divay's age $=3x$ can be found. Thus, I and II give the answer.

From I and III, we get $4x-3x+5$. This gives x.
$\therefore$ Divay's age $=3x$ can be found. Thus, I and III give the answer.
From III: Let Divya's present age be $t$ years.
Then, Arun's present age $=(t+5)$ years.
Thus, from II and III, we get : $\frac{t}{t+5}$ $=\frac{4}{5}$. This gives $t$.
Thus, II and III give the answer.
$\therefore$ Corrrect answer is (E).