[EPQ Vol 1A] Question 9

[EPQ Vol 1A] Question 9

Secondary 1
TGM Original Questions

Given that \(p\) and \(q\) are integers such that \(-3\le p<9\) and \(-11\le q<4\), find

  1. the greatest possible value of \(\frac{p}{q}\),
  2. the greatest possible value of \(\frac{q}{p}\),
  3. the smallest possible value of \(\frac{p}{q}\),
  4. the smallest possible value of \(\frac{q}{p}\).

Exclude zero denominators when forming each ratio.

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Answer:Assuming \(p\) and \(q\) are integers: (a) \(8\) (b) \(11\) (c) \(-8\) (d) \(-11\)

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