CQE Free Mock Exam (60 Minutes)

Free sample questions

3 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 line qualification is scheduled from the activity list below, and the customer has been promised the resulting finish date. Activity D is then reported four days late because a test rig was unavailable.
   
   $$\begin{array}{c|c|c} \hline \textbf{Activity} & \textbf{Predecessor} & \textbf{Duration} \\ \hline A & - & 3 \\ B & - & 6 \\ C & A & 8 \\ D & B & 4 \\ E & C, D & 5 \\ F & B & 9 \\ \hline \end{array}$$
   
   What is the effect of D's delay on the promised finish date?

   • A.The finish date does not move, because D has enough float to absorb the delay
   • B.The finish date moves out by 1 day, the amount of float that D had
   • C.The finish date moves out by 3 days, the delay less the float that D had✓ Correct answer
   • D.The finish date moves out by 4 days, the full amount of the delay

   Explanation

   D carries one day of total float, so the first day of slip is absorbed and the rest is passed straight to the finish:
   
   $$\text{slip} = 4 - 1 = 3 \text{ days}, \qquad 16 \to 19 \text{ days}$$
   
   Option A is the primary foil: it is true that D was not originally critical, but float is a finite buffer, and once a delay exceeds it the activity becomes critical. Option D ignores the float altogether.

   Reference: CQE BoK V

2. Q2.Cp for a process is 1.67 but Cpk is 0.85. What does this indicate?

   • A.The process has excessive variation
   • B.The process is centred but incapable
   • C.The process is capable but off-centre✓ Correct answer
   • D.The measurement system is unreliable

   Explanation

   Cp measures potential capability from spread alone, while Cpk also accounts for centring. A high Cp with a much lower Cpk means the spread is fine but the mean has drifted toward one specification limit. Recentring the process would bring Cpk close to Cp.

   Reference: CQE BoK III

3. Q3.A four-year cost of quality summary is shown in thousands of dollars.
   
   $$\begin{array}{l|r|r|r} \hline \textbf{Year} & \textbf{Prevention} & \textbf{Appraisal} & \textbf{Failure} \\ \hline 2021 & 40 & 160 & 500 \\ 2022 & 80 & 150 & 400 \\ 2023 & 130 & 130 & 280 \\ 2024 & 180 & 110 & 170 \\ \hline \end{array}$$
   
   For each additional dollar of prevention spending between 2021 and 2024, by how much did total cost of quality fall?

   • A.$\$1.36$
   • B.$\$1.71$✓ Correct answer
   • C.$\$2.36$
   • D.$\$2.71$

   Explanation

   Total COQ fell from $700$ to $460$ while prevention rose from $40$ to $180$.
   
   $$\frac{700-460}{180-40} = \frac{240}{140} = \$1.71$$
   
   The primary foil $\$2.71$ uses the appraisal and failure savings of $380$ without netting out the $140$ of extra prevention spend, so it overstates the return.

   Reference: CQE BoK II

Practise CQE the way the exam actually asks it

• 20 exam-style CQE questions
• Full explanation for every question
• Mobile friendly, no install required
• Timed exam simulation

Questions about this practice test

Related CQE practice tests

• CQE Free Practice Questions (Review Mode) 30 practice questionsReviewEasyFreeView quiz→
• CQE Full 160 Questions Mock Exam (300 Minutes)160 practice questionsExam · 300 minMediumView quiz→
• CQE Practice Questions (Review Mode) - 2. Quality Tools25 practice questionsReviewMediumView quiz→
• CQE Practice Questions (Review Mode) - 1. Reliability20 practice questionsReviewMediumView quiz→