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 difference between the ages of A and B?
I) The ratio between the ages of A and B is 2:3
II) B's age is 50% more than A's age.
III) One-fourth of A's age is equal to one-sixth of B's age.


A) All I, II and III

B) Any two of the three

C) III, and either I or II

D) Only I and II

E) Can't be answered with all three statements

Answer:

Option E

Explanation:

I) $A:B=2:3$
$\Rightarrow \frac{A}{B} = \frac{2}{3}$
$\Rightarrow 3A = 2B$.

II) $B=\frac{150}{100}A$
$\Rightarrow B = \frac{3A}{2}$
$\Rightarrow 3A = 2B$.

III) $\frac{1}{4}A$ $=\frac{1}{6}B$
$\Rightarrow 6A = 4B$
$\Rightarrow 3A = 2B$.
Thus, even I, II and II together do not give the answer.
$\therefore$ Correct answer is (E).