Question

Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.
What is the cost painting the two adjacent walls of a hall at Rs. 5 per m2 which has no windows or doors?
I. The area of the hall is 24 sq. m.
II. The breadth, length and height of the hall are in the ratio of 4 : 6 : 5 respectively.
III. Area of one wall is 30 sq. m.

• A. I only
• B. II only
• C. III only
• D. Either I or III
• E. All I, II and III are required.

Answer 1

The correct option is C III only

From II, let $l=4x,b=6x$ and $h=5x$
Then, area of the hall $=\left(24x^2\right)m^2$.
From I. Area of the hall $=24m^2$
From II and I, we get $24x^2=24\iff x=1$
$\therefore l=4m,b=6$$and$h=5m$.
Thus, area of two adjacent walls $=\left[\right(l\times h)+(b\times h\left)\right]m^2$ can be found out and so the cost of painting two adjacent walls may be found out.
Thus, III is redundant.
$\therefore$ Correct answer is (C)