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CAT 2007 | Question: 03

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Two circles with centres $\text{P}$ and $\text{Q}$ cut each other at two distinct points $\text{A}$ and $\text{B}.$ The circles have the same radii and neither $\text{P}$ nor $\text{Q}$ falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle $\text{AQP}$ in degrees?

  1. Between $0$ and $90$
  2. Between $0$ and $30$
  3. Between $0$ and $60$
  4. Between $0$ and $75$
  5. Between $0$ and $45$

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