7. Five volunteers signed up to work a bake sale. George signed up for the 9:00 a.m.-10:00 a.m. slot, and Juan signed up for the 10:00 a.m.-11:00 a.m. slot. The start of Cora's time slot begins with an even number. Which time slot does Cora work? (1) Cora's time slot is not immediately before George's time slot. (2) Cora's time slot is later in the day than George's time slot.
Answer: D
Cora works the 11:00 a.m.-12:00 p.m. time slot.
Cora's time slot begins with an even number and must be later than George's 9:00 a.m.-10:00 a.m. time slot. Given the information, the only suitable time slot for Cora is from 11:00 a.m. to 12:00 p.m., making both statements sufficient on their own.
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (1) indicates that Cora's time slot is not immediately before George's, which eliminates the possibility of her working from 10:00 a.m. to 11:00 a.m. However, it does not provide enough information to determine her exact time slot since it does not specify whether her slot is later than George's. Therefore, this statement alone is insufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Statement (2) confirms that Cora's time slot is later than George's. While this indicates that Cora cannot work from 9:00 a.m. to 10:00 a.m., it doesn’t specify the exact time slot. As such, this statement alone does not provide definite information about Cora's slot, making it insufficient by itself.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
While combining both statements provides more context about Cora's slot being not immediately after George's and later in the day, they are not needed together to ascertain her time slot. Therefore, this option does not accurately reflect the sufficiency of the statements when considered individually.
D) EACH statement ALONE is sufficient.
Each statement independently provides sufficient information to determine Cora's time slot. Statement (1) clarifies that she cannot work before George's time, while statement (2) confirms she works later. Together, they lead to the conclusion that her only possible time slot is from 11:00 a.m. to 12:00 p.m.
Conclusion
Cora’s time slot is definitively determined to be 11:00 a.m.-12:00 p.m., as both statements independently affirm that she cannot work before George and must begin at an even hour later. Thus, Option D is correct as both statements alone suffice in establishing the required information, while the other options do not meet the criteria for sufficiency.