A quantity . Given that rounded to 2 significant figures and rounded to 1 decimal place, calculate the upper bound of .

Answer and explanation

Correct answer: D.

  1. Step 1: Determine the upper and lower bounds: rounded to 2 s.f. has degree of accuracy , giving upper bound ; rounded to 1 d.p. has degree of accuracy , giving lower bound .
  2. Step 2: To maximise the quotient , divide the maximum numerator by the minimum denominator: .
  3. Step 3: Calculate and round to 2 decimal places: .
Answer
.
Why not the others: is the unrounded nominal value ; is the lower bound ; divides by an incorrect lower bound of ().

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