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Question

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer –

If diameter of a circle is increased by 25%, what will be the area of the circle?   I. Circumference of the circle is 88 m.   II. Area of the circle is 616 sq.m.

A If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. Correct Answer Incorrect Answer
B If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. Correct Answer Incorrect Answer
C If the data either in statement I alone or in statement II alone is sufficient to answer the question. Correct Answer Incorrect Answer
D If the data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer
E If the data given in both statements I and II together is not sufficient to answer the question. Correct Answer Incorrect Answer

Solution

From I, 2Pi r = 88m ⟹ r = (88 x 7)/(22 x 2)   = 14 m.  d = 28 m.  increased d = 125% of 28 = 35 m  increased r = 17.5 m  increased area = Pir² = (22 × 17.5 × 17.5)/(7)  = 962.5m² From II, Pi r² = 616 m² ⟹ r²=  = 196  r = 14 m.  d = 28 m.  increased d = 125% of 28 = 35 m  increased r = 17.5 m  increased area = Pi r²= (22 × 17.5 × 17.5)/(7)  = 962.5m²

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