# Aptitude - Area - Discussion

*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 m | |

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. |

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

Then, area of the hall = (24*x*^{2}) m^{2}.

**From I.** Area of the hall = 24 m^{2}.

From II and I, we get 24*x*^{2} = 24 *x* = 1.

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

Thus, area of two adjacent walls = [(*l* x *h*) + (*b* x *h*)] m^{2} 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).

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

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).

I think D should be the right answer.

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.

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

And no need of III.

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