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.


2.

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.

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

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).

Discussion:
30 comments Page 2 of 3.

Mahich said:   9 years ago
How the area of the hall is equal to 24X^2?

Because 24X^2 is Floor's area. Not hall's area.

Akhil said:   9 years ago
The correct answer is D.

Asha said:   9 years ago
Right answer is E. As Answer C gives Area of one wall only.

Ankush said:   9 years ago
According to me, the correct answer should be E.

Rusty said:   10 years ago
Without I & II we can't calculate.

Chhandak said:   1 decade ago
Area of the hall which is going to be painted will include 4 walls and the ceiling and the floor is never painted.

So I don't think its 24x^2 simply. There is something wrong.

Farheen said:   1 decade ago
How come area of hall should be l*b?

Should it not include 4 walls, 1 floor and 1 ceiling?

Vampire said:   1 decade ago
Area of the hall is l*b and we don't need height the area is given and the ratio is also given with this we can easily find the answer and 3 is unnecessary for this problem. Hence C is the answer.

Ajit said:   1 decade ago
Correct answer is E. As for finding area of adjacent walls we need II and then either I or III but as its only satisfying by option E so its correct.

Monster said:   1 decade ago
In the explanation it is said that we need I and II. Then how comes C(III only) as the right option.


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