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Directions: Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.What is the circumference of a circle?Statement I: The difference between the radius of circle and breadth of rectangle is 4cm.Statement II: The length of rectangle is 5 more than the breadth of rectangle and the perimeter of rectangle is 50cm.1.If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2.If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3.If the data either in statement I alone or in statement II alone is sufficient to answer the question.4.If the data even in both the statements I and II together are not sufficient to answer the question.5. If the data in both statements I and II together are needed to answer the question. |
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Answer» Correct Answer - Option 5 : If the data in both statements I and II together are needed to answer the question. Let r = radius of circle, L = length of rectangle and B = breadth of rectangle Circumference of circle = 2πr Perimeter of rectangle = 2(L + B) From statement I r - B = 4 From statement II L = 5 + B 50 = 2(L + B) L + B = 25 Solving, L = 15cm and B = 10cm r = 4 + 10 = 14cm Circumference of a circle = 2 × 22/7 × 14 = 88 cm ∴ the data in both statements I and II together are needed to answer the question. |
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