Question
There are two cylindrical rollers - bigger and smaller.
How many rotations will the bigger roller take to flatten a stretch of land (X)? Statement I: The respective ratio of the radii of the bigger and the smaller roller is 7 : 3. Both the rollers are of the same length. Statement II: The smaller takes 126 rotations to flatten the stretch of land (X). Each of the questions below consists of a question and three statements numbered I and II given below it. You have to decide whether the data provided in both the statements are sufficient to answer the question. Read all the statements and give answer –Solution
From both the statements, Radius of the larger roller = 7x units Radius of the smaller roller = 3x units Area flattened by smaller roller in 63 rotations = 2 × pi × 3x × 1 × 63 Therefore, 3x × 126 × pi × r × 1 = 2 × pi × 7x × 1 × n n = 27
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