CAT Quant Practice Problems

Question: A punching machine is used to punch a circular hole of diameter two units from a square sheet of aluminium of width 2 units, as shown below. The hole is punched such that the circular hole touches one corner P of the square sheet and the diameter of the hole originating at P is in line with a diagonal ofthe square.

The proportion of the sheet area that remains after punching is:


  1. \(\frac{{\left( {x + 2} \right)}}{8}\)
  2. \(\frac{{\left( {6 - \pi } \right)}}{8}\)
  3. \(\frac{{\left( {4 - \pi } \right)}}{4}\)
  4. \(\frac{{\left( {x - 2} \right)}}{4}\)
  5. \(\frac{{\left( {14 - 3\pi } \right)}}{6}\)

Correct Option:2

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