CQE Free Practice Questions (Review Mode)

Free sample questions

4 questions from this set, shown in full with the correct answer and the reasoning behind it. Read them as a study resource.

1. Q1.A gauge R&R study reports equipment variation $EV = 0.048$ mm and appraiser variation $AV = 0.036$ mm. The characteristic's tolerance is $0.60$ mm.
   
   What is the percent gauge R&R relative to tolerance?

   • A.$6\%$
   • B.$8\%$
   • C.$10\%$✓ Correct answer
   • D.$14\%$

   Explanation

   Combine the two components in quadrature, then divide by the tolerance:
   
   $$GRR = \sqrt{0.048^2 + 0.036^2} = 0.060 \ \text{mm}, \qquad \%GRR = \frac{0.060}{0.60} = 10\%$$
   
   Adding $EV$ and $AV$ linearly gives $14\%$, which is the most common error.

   Reference: CQE BoK IV

2. Q2.Three appraisers each measure the same twenty parts twice using the same gauge. The variation among the three appraisers' averages is a measure of which property?

   • A.Repeatability
   • B.Stability
   • C.Reproducibility✓ Correct answer
   • D.Linearity

   Explanation

   Variation between appraisers measuring the same parts with the same gauge is reproducibility. Repeatability is the near tie: it is the variation a single appraiser shows on repeated measurements of the same part with the same gauge.

   Reference: CQE BoK IV

3. Q3.A process has $USL = 12.50$ mm, $LSL = 11.90$ mm, a mean of $12.32$ mm, and $\sigma = 0.08$ mm.
   
   What is $C_{pk}$?

   • A.$0.75$✓ Correct answer
   • B.$1.00$
   • C.$1.25$
   • D.$1.75$

   Explanation

   $C_{pk}$ is the smaller of the two one-sided indices:
   
   $$C_{pu} = \frac{12.50 - 12.32}{3(0.08)} = 0.75, \qquad C_{pl} = \frac{12.32 - 11.90}{3(0.08)} = 1.75$$
   
   so $C_{pk} = 0.75$. The $1.25$ option is $C_p$, which ignores centering entirely.

   Reference: CQE BoK VI

4. Q4.A manufacturer buys insurance to cover the financial consequences of a product recall it cannot economically prevent.
   
   Which risk treatment is this?

   • A.Risk avoidance
   • B.Risk mitigation
   • C.Risk transfer✓ Correct answer
   • D.Risk acceptance

   Explanation

   Buying insurance moves the financial consequence to another party without changing the likelihood or the technical severity of the recall, which is risk transfer. Mitigation is the near tie, but mitigation reduces likelihood or severity and insurance does neither.

   Reference: CQE BoK VII

Practise CQE the way the exam actually asks it

• 30 exam-style CQE questions
• Full explanation for every question
• Mobile friendly, no install required
• Instant feedback as you answer

Questions about this practice test

Related CQE practice tests

• CQE Full 160 Questions Mock Exam (300 Minutes)160 practice questionsExam · 300 minMediumView quiz→
• CQE Free Mock Exam (60 Minutes)20 practice questionsExam · 60 minMediumFreeView quiz→
• CQE Practice Questions (Review Mode) - 2. Quality Tools25 practice questionsReviewMediumView quiz→
• CQE Practice Questions (Review Mode) - 1. Reliability20 practice questionsReviewMediumView quiz→