Question 1
**Data Sufficiency Question**
A project has 4 phases: Planning, Design, Development, Testing.
**Question:** On which day does Development start?
**Statement (1):** Testing starts exactly 5 days after Design ends.
**Statement (2):** Planning takes 3 days and ends before Design starts.
**Options:**
A. Statement (1) ALONE is sufficient, but statement (2) alone is NOT sufficient
B. Statement (2) ALONE is sufficient, but statement (1) alone is NOT sufficient
C. BOTH statements TOGETHER are sufficient, but NEITHER alone is sufficient
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient
Data Sufficiency Reasoning:
Step 1 - Analyze Statement (1) alone: Testing starts exactly 5 days after Design ends.
This gives partial information but not enough to determine the answer uniquely.
Step 2 - Analyze Statement (2) alone: Planning takes 3 days and ends before Design starts.
This also gives partial information insufficient by itself.
Step 3 - Combine statements:
Together, they provide enough constraints to solve uniquely.
Conclusion: Both statements together are still insufficient.
Key Strategy: Test each statement independently first, then combine only if neither alone works.
Step 1 - Analyze Statement (1) alone: Testing starts exactly 5 days after Design ends.
This gives partial information but not enough to determine the answer uniquely.
Step 2 - Analyze Statement (2) alone: Planning takes 3 days and ends before Design starts.
This also gives partial information insufficient by itself.
Step 3 - Combine statements:
Together, they provide enough constraints to solve uniquely.
Conclusion: Both statements together are still insufficient.
Key Strategy: Test each statement independently first, then combine only if neither alone works.