CAT Quant Practice Problems

Question: Consider a circle with unit radius. There are seven adjacent sectors, S1, S2, S3, ..., S7, in the circle such that their total area is \(\frac{1}{8}\)of the area of the circle. Further, the area of the jth sector is twice that of the (j – 1)th sector, for j = 2, ..., 7. What is the angle, in radians, subtended by the arc of S1 at the centre of the circle?
  1. \(\frac{\pi }{{508}}\)
  2. \(\frac{\pi }{{2040}}\)
  3. \(\frac{\pi }{{1016}}\)
  4. \(\frac{\pi }{{1524}}\)

Correct Option:3

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CAT Quant Practice Problems
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