Aptitude - Area - Discussion

Discussion Forum : Area - Data Sufficiency 3 (Q.No. 2)
Directions to Solve

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?


The area of the hall is 24 sq. m.


The breadth, length and height of the hall are in the ratio of 4 : 6 : 5 respectively.


Area of one wall is 30 sq. m.

I only
II only
III only
Either I or III
All I, II and III are required.
Answer: Option

From II, let l = 4x, b = 6x and h = 5x.

Then, area of the hall = (24x2) m2.

From I. Area of the hall = 24 m2.

From II and I, we get 24x2 = 24         x = 1.

l = 4 m, b = 6 and h = 5 m.

Thus, area of two adjacent walls = [(l x h) + (b x h)] m2 can be found out and so the cost of painting two adjacent walls may be found out.

Thus, III is redundant.

Correct answer is (C).

30 comments Page 1 of 3.

Manoj kumawat said:   10 months ago

First of all, how is it possible that the area of the room is less than a single wall? Please explain to me.

Rishabh Jain said:   2 years ago
The Given Answer is correct.

If we use statements II and III only.

Then area of one wall = 30 sq. m, which could imply either b*h or l*h.
Statement 2 => b = 4x, l = 6x, h = 5x.
i.e. 4x*5x = 30 => x = 1.224 OR 6x*5x = 30 => x = 1.

Both of these would give 2 different answers as the length, breadth or height need not be in the whole number.

While, if we use Statements I and II.
Statement 1 => l*b = 24.
Statement 2 => b = 4x, l = 6x, h = 5x.
6x*4x = 24; x = 1.
Then, the answer can be calculated

The only discrepancy in the question is the misleading information "Area of the Hall" assumed to be equal to the area of the base of the hall (L*B), when it could be the total area of the hall i.e. 2*(L*B + L*H + B*H).

Mahesh said:   2 years ago
Yes, you are right @Vivek Bharti.

I think D should be the right answer.

Shivam said:   4 years ago
According to me, it should be E.

Only cost of painting is given in question.

ll is needed to know the ratio of all dimensions and ratio of all areas of the hall.
l is needed to know the actual value of all the areas.
then only we can find the total cost without lll also but how can we find the areas of both the walls with just lll given.

Shweta kashyap said:   5 years ago
Here, the area of one wall is given which is not the area of the adjacent wall because one wall would have length and the adjacent would have the breadth and it is nowhere given that length and breadth are equal.

Pavan said:   6 years ago
The right answer would be I and II are sufficient.

Because with I and II we will get to know the measurements of all the sides.

And no need of III.

Manus said:   6 years ago
Actually, what is the correct answer? Please explain.

Shradha said:   7 years ago
The answer is correct as the question asks us to select the redundant option. We can estimate the cost from I and II, therefore III is not required.

So, the correct answer is in fact option (c).

Appa rao said:   7 years ago
According to the question option E will be the answer.

Kuldeep said:   8 years ago
The Correct answer is C as the area of one wall is not specified. We can take any of them & two different solutions will be obtained which is not clear for determining the cost of painting.

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