Exercise :: Area - Data Sufficiency 2
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.
Answer: Option C
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.
Thus, all I, II and III are needed to get the answer.
Correct answer is (C).
Answer: Option A
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).
Answer: Option B
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).