Logic Problems: Problem 4

Problem: A coach is separating 7 athletes, R, S, T, V, X, Y, Z into Group 1 and Group 2. But there are requirements:
- Group 1 has four students, Group 2 has three students;
- R is in Group 2 no matter what; V and Y cannot be in the same group;
- If V is in Group 1, then X has to be in Group 1;
- If Z is in Group 2, then Y has to be in Group 1.
Use the information above to answer the following questions:

A. If X is in Group 2, which of the following is guaranteed?
a. R is in Group 1
b. S is in Group 2
c. T is in Group 2
d. Y is in Group 1
e. Z is in Group 2

B. If Z is in Group 2, which of the following is guaranteed?
a. S is in Group 2
b. T is in Group 2
c. V is in Group 1
d. X is in Group 1
e. Y is in Group 2

C. If Y is in Group 2, which pair of students cannot be in the same group?
a. R, T
b. S, T
c. S, Y
d. T, Z
e. X, Z

D. If T and V are put into the same group, then which pair of students has to be in the same group?
a. R, T
b. S, X
c. S, Y
d. X, Y
e. Y, Z

Key: Subjunction method

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