Data Sufficiency Scheduling | Worksheet 2/10

Question 1

**Data Sufficiency Question** Five friends A, B, C, D, E are standing in a queue. **Question:** Who is standing at the front of the queue? **Statement (1):** A is standing immediately before C. **Statement (2):** There are exactly two people between B and E. **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: A is standing immediately before C.
This gives partial information but not enough to determine the answer uniquely.

Step 2 - Analyze Statement (2) alone: There are exactly two people between B and E.
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 sufficient but neither alone is sufficient.

Key Strategy: Test each statement independently first, then combine only if neither alone works.

Question 2

**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.

Question 3

**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.

Question 4

**Data Sufficiency Question** Five friends A, B, C, D, E are standing in a queue. **Question:** Who is standing at the front of the queue? **Statement (1):** A is standing immediately before C. **Statement (2):** There are exactly two people between B and E. **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: A is standing immediately before C.
This gives partial information but not enough to determine the answer uniquely.

Step 2 - Analyze Statement (2) alone: There are exactly two people between B and E.
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 sufficient but neither alone is sufficient.

Key Strategy: Test each statement independently first, then combine only if neither alone works.

Question 5

**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.

Question 6

**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.

Question 7

**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.

Question 8

**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.

Question 9

**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.

Question 10

**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.

Question 11

**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.

Question 12

**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.

Question 13

**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.

Question 14

**Data Sufficiency Question** Five friends A, B, C, D, E are standing in a queue. **Question:** Who is standing at the front of the queue? **Statement (1):** A is standing immediately before C. **Statement (2):** There are exactly two people between B and E. **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: A is standing immediately before C.
This gives partial information but not enough to determine the answer uniquely.

Step 2 - Analyze Statement (2) alone: There are exactly two people between B and E.
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 sufficient but neither alone is sufficient.

Key Strategy: Test each statement independently first, then combine only if neither alone works.

Question 15

**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.

Question 16

**Data Sufficiency Question** Five friends A, B, C, D, E are standing in a queue. **Question:** Who is standing at the front of the queue? **Statement (1):** A is standing immediately before C. **Statement (2):** There are exactly two people between B and E. **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: A is standing immediately before C.
This gives partial information but not enough to determine the answer uniquely.

Step 2 - Analyze Statement (2) alone: There are exactly two people between B and E.
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 sufficient but neither alone is sufficient.

Key Strategy: Test each statement independently first, then combine only if neither alone works.

Question 17

**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.

Question 18

**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.

Question 19

**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.

Question 20

**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.

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