Aptitude - Area
- Area - Formulas
- Area - General Questions
- Area - Data Sufficiency 1
- Area - Data Sufficiency 2
- Area - Data Sufficiency 3
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
What is the area of the hall? | |
I. | Material cost of flooring per square metre is Rs. 2.50 |
II. | Labour cost of flooring the hall is Rs. 3500 |
III. | Total cost of flooring the hall is Rs. 14,500. |
I. Material cost = Rs. 2.50 per m2
II. Labour cost = Rs. 3500.
III. Total cost = Rs. 14,500.
Let the area be A sq. metres.
Material cost = Rs. (14500 - 3500) = Rs. 11,000.
| |
5A | = 11000  A = |
 |
11000 x 2 |  |
= 4400 m2. |
| 2 | 5 |
Thus, all I, II and III are needed to get the answer.
Correct answer is (C).
What is the area of a right-angled triangle? | |
I. | The perimeter of the triangle is 30 cm. |
II. | The ratio between the base and the height of the triangle is 5 : 12. |
III. | The area of the triangle is equal to the area of a rectangle of length 10 cm. |
From II, base : height = 5 : 12.
Let base = 5x and height = 12x.
Then, hypotenuse = (5x)2 + (12x)2 = 13x.
From I, perimeter of the triangle = 30 cm.
5x + 12x + 13x = 30 x = 1.
So, base = 5x = 5 cm, height = 12x = 12 cm.
| Area = |
|
1 | x 5 x 12 | cm2 |
= 30 cm2. |
| 2 |
Thus, I and II together give the answer.
Clearly III is redundant, since the breadth of the rectangle is not given.
Correct answer is (A).
What is the area of rectangular field? | |
I. | The perimeter of the field is 110 metres. |
II. | The length is 5 metres more than the width. |
III. | The ratio between length and width is 6 : 5 respectively. |
I. 2(l + b) = 110 
l + b = 55.
II. l = (b + 5) l - b = 5.
| III. | l | = | 6 | 5l - 6b = 0. |
| b | 5 |
These are three equations in l and b. We may solve them pairwise.
Any two of the three will give the answer.
Correct answer is (B).