Question 1
**Data Sufficiency Question**
Six lectures are scheduled from Monday to Saturday, one per day.
**Question:** Which subject is on Thursday?
**Statement (1):** Physics is on Wednesday, two days after Chemistry.
**Statement (2):** Mathematics is on Friday, immediately after Biology.
**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: Physics is on Wednesday, two days after Chemistry.
This gives partial information but not enough to determine the answer uniquely.
Step 2 - Analyze Statement (2) alone: Mathematics is on Friday, immediately after Biology.
This also gives partial information insufficient by itself.
Step 3 - Combine statements:
Together, they provide enough constraints to solve uniquely.
Conclusion: Either statement alone is sufficient.
Key Strategy: Test each statement independently first, then combine only if neither alone works.
Step 1 - Analyze Statement (1) alone: Physics is on Wednesday, two days after Chemistry.
This gives partial information but not enough to determine the answer uniquely.
Step 2 - Analyze Statement (2) alone: Mathematics is on Friday, immediately after Biology.
This also gives partial information insufficient by itself.
Step 3 - Combine statements:
Together, they provide enough constraints to solve uniquely.
Conclusion: Either statement alone is sufficient.
Key Strategy: Test each statement independently first, then combine only if neither alone works.