Question

Match List-I with List-II.

List-I	List-II
A. Dummy activity B. Critical path C. PERT activity D. Critical Path Method	I. Follow B distribution II. Built on activity oriented diagram III. Constructed only to establish sequence IV. Has zero total slack

• A. A-IV, B-II, C-III, D-I
• B. A-III, B-IV, C-I, D-II
• C. A-IV, B-I, C-II, D-III
• D. A-III, B-IV, C-II, D-I

Hint:

Critical path → zero slack; Dummy → only sequencing.

Answer 1

The Correct Option is B

Concept: PERT/CPM terminology:

Step 1: Dummy activity (A).

• Has zero duration
• Used only to maintain precedence relationship Thus: \[ A \rightarrow III \]

Step 2: Critical path (B).

• Longest path in network
• Has zero slack Thus: \[ B \rightarrow IV \]

Step 3: PERT activity (C).

• Probabilistic time estimation
• Follows Beta distribution Thus: \[ C \rightarrow I \]

Step 4: Critical Path Method (D).

• Deterministic
• Activity-oriented network Thus: \[ D \rightarrow II \]

Step 5: Final matching.
\[ A-III,\; B-IV,\; C-I,\; D-II \] \[ \boxed{\text{Answer: Option (2)}} \]