CSSGB Free Practice Questions (Review Mode)

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 project network is defined by the activities below.
   
   $$\begin{array}{c|l|c} \hline \textbf{Activity} & \textbf{Predecessor} & \textbf{Duration (days)} \\ \hline A & \text{none} & 4 \\ B & A & 6 \\ C & A & 3 \\ D & B & 5 \\ E & C & 9 \\ F & D, E & 2 \\ \hline \end{array}$$
   
   What is the length of the critical path?

   • A.17 days
   • B.29 days
   • C.20 days
   • D.18 days✓ Correct answer

   Explanation

   Two paths run from A to F. Path A-B-D-F totals 17 days and path A-C-E-F totals 18 days. The critical path is the longest one, so 18 days. 17 is the tempting answer because that path contains more activities.

   

   Reference: CSSGB BoK II

2. Q2.A two factor full factorial experiment produced the responses below.
   
   $$\begin{array}{c|c|c} \hline \textbf{A} & \textbf{B} & \textbf{Response} \\ \hline - & - & 20 \\ + & - & 40 \\ - & + & 45 \\ + & + & 35 \\ \hline \end{array}$$
   
   What do these results indicate?

   • A.Factor A has the largest effect, and the two factors act independently
   • B.Factor B has no measurable effect on the response at either level of A
   • C.The interaction is large, so the effect of A depends on the level of B✓ Correct answer
   • D.The experiment should be repeated because the responses are inconsistent

   Explanation

   The main effect of A is 5 and of B is 10, but the AB interaction is $-15$. Raising A helps when B is low and hurts when B is high, which is exactly the reversal an interaction plot shows as crossed lines. Interpreting either main effect on its own would be misleading here.
   
   See the interaction plot below:

   

   Reference: CSSGB BoK V

3. Q3.Ten units pass through three sequential steps, each taking 1 minute per unit.
   
   $$\begin{array}{l|c} \hline \textbf{Step} & \textbf{Time per unit (min)} \\ \hline \text{Drill} & 1 \\ \text{Deburr} & 1 \\ \text{Inspect} & 1 \\ \hline \end{array}$$
   
   Under single-piece flow, how long until all ten units are complete?

   • A.12 minutes✓ Correct answer
   • B.3 minutes
   • C.30 minutes
   • D.10 minutes

   Explanation

   The first unit clears all three steps in 3 minutes, and one unit then finishes every minute thereafter:
   
   $$T = 10 + (3 - 1) = 12 \text{ min}$$
   
   30 minutes is the batch-and-queue result, where the whole batch completes each step before moving.

   Reference: CSSGB BoK V

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