Exercise :: Area  Data Sufficiency 2
 Area  Important 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.
1. 


Answer: Option C Explanation: I. Material cost = Rs. 2.50 per m^{2} 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.
Thus, all I, II and III are needed to get the answer. Correct answer is (C). 
2. 


Answer: Option A Explanation: 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.
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). 
3. 


Answer: Option B Explanation: I. 2(l + b) = 110 l + b = 55. II. l = (b + 5) l  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). 