# LSAT Logic Games : Solving two-variable logic games

## Example Questions

### Example Question #91 : Solving Two Variable Logic Games

A family is having a yard sale and prices each type of item at $0.25,$0.50, $1.00, or$2.00. The types of items they sell are: books, CDs, dolls, flowerpots, paintbrushes, and towels.

• Flowerpots cost at least as much as dolls.
• The total price of one doll with one CD is less than the total price of one doll with one book.
• Books are the same price as paintbrushes.
• Towels cost $2.00. Which of the following cannot be true? Possible Answers: Books cost$2.00.

Flowerpots cost $2.00. Paintbrushes cost$2.00.

CDs cost $2.00. Dolls cost$2.00.

CDs cost $2.00. Explanation: Since the total price of one doll with one CD is less than the total price of one doll with one book, CDs cost less than books. Given the prices, the most a book can cost is$2.00, so CDs must cost less than $2.00. Therefore, CDs cannot cost$2.00.

### Example Question #92 : Solving Two Variable Logic Games

A human resources manager must schedule a round of interviews during a particular day. Six different time slots are available in the afternoon and are numbered one through six in sequential order. Six candidates - Joe, Jim, Mary, Bob, Jess, and Sue - must be scheduled during the afternoon. Only one candidate can occupy each interview slot. The assignment of interview slots is subject to the following restrictions:

• Either Mary or Bob must occupy the second time slot.
• Joe must occupy the sixth time slot.
• Mary and Bob cannot occupy consecutive time slots.
• Jim and Mary must occupy consecutive time slots.
• Sue must be interviewed before Jess.

Which of the following could be a possible list of the interviews in the order that they are conducted?

Sue, Bob, Jim, Jess, Mary, Joe

Jim, Mary, Bob, Sue, Jess, Joe

Jim, Bob, Sue, Mary, Jess, Joe

Jim, Mary, Sue, Bob, Jess, Joe

Jim, Mary, Jess, Bob, Sue, Joe

Jim, Mary, Sue, Bob, Jess, Joe

Explanation:

Only the following answer choice fulfills all five requirements described in the prompt:

Jim, Mary, Sue, Bob, Jess, Joe

### Example Question #91 : Solving Two Variable Logic Games

A human resources manager must schedule a round of interviews during a particular day. Six different time slots are available in the afternoon and are numbered one through six in sequential order. Six candidates - Joe, Jim, Mary, Bob, Jess, and Sue - must be scheduled during the afternoon. Only one candidate can occupy each interview slot. The assignment of interview slots is subject to the following restrictions:

• Either Mary or Bob must occupy the second time slot.
• Joe must occupy the sixth time slot.
• Mary and Bob cannot occupy consecutive time slots.
• Jim and Mary must occupy consecutive time slots.
• Sue must be interviewed before Jess.

Which of the following could be true?

Joe occupies the third time slot.

Mary occupies the third time slot.

Sue occupies the fifth time slot.

Sue occupies the first time slot.

Mary occupies the first time slot.

Sue occupies the first time slot.

Explanation:

Joe cannot occupy the third time slot, since he is restricted to the sixth slot. Since Joe is in the sixth slot, Sue cannot be in the fifth slot since she has to be interviewed before Jess. Finally, if Mary is not in the second slot, then Bob must be. Since the two cannot be placed consecutively, Mary cannot occupy the first or third time slot. Therefore, the only possibility is if Sue occupies the first time slot.

### Example Question #94 : Solving Two Variable Logic Games

A human resources manager must schedule a round of interviews during a particular day. Six different time slots are available in the afternoon and are numbered one through six in sequential order. Six candidates - Joe, Jim, Mary, Bob, Jess, and Sue - must be scheduled during the afternoon. Only one candidate can occupy each interview slot. The assignment of interview slots is subject to the following restrictions:

• Either Mary or Bob must occupy the second time slot.
• Joe must occupy the sixth time slot.
• Mary and Bob cannot occupy consecutive time slots.
• Jim and Mary must occupy consecutive time slots.
• Sue must be interviewed before Jess.

If Sue is assigned to the third time slot, then each of the following could be true EXCEPT:

Mary is assigned to the second time slot.

Jim is assigned to the first time slot.

Bob is assigned to the fourth time slot.

Bob is assigned to the second time slot.

Jess is assigned to the fourth time slot.

Bob is assigned to the second time slot.

Explanation:

Bob cannot be assigned to the second slot if Sue is in the third time slot. Joe is locked into the sixth slot. No one left can be placed in the first slot without breaking one of the restrictions. Jim and Mary must be placed consecutively, so neither can be in the first slot. Jess must be interviewed after Sue, so she cannot be placed in the first slot either. Therefore, Bob cannot be placed in the second slot.

### Example Question #95 : Solving Two Variable Logic Games

A human resources manager must schedule a round of interviews during a particular day. Six different time slots are available in the afternoon and are numbered one through six in sequential order. Six candidates - Joe, Jim, Mary, Bob, Jess, and Sue - must be scheduled during the afternoon. Only one candidate can occupy each interview slot. The assignment of interview slots is subject to the following restrictions:

• Either Mary or Bob must occupy the second time slot.
• Joe must occupy the sixth time slot.
• Mary and Bob cannot occupy consecutive time slots.
• Jim and Mary must occupy consecutive time slots.
• Sue must be interviewed before Jess.

If Sue is assigned to the first time slot, then which of the following is a complete and accurate list of all the time slots to which Jess could be assigned?

third, fourth, fifth

third, fourth, sixth

third, fourth, fifth, sixth

third, fifth

third, fourth

third, fourth, fifth

Explanation:

Joe must be assigned to the sixth time slot, so any answer containing sixth can be eliminated. If Bob is placed second, Jess could be third or fifth, since Jim and Mary must be placed consecutively. If Mary is placed second, then Jim must be third and Jess could be either fourth or fifth. Therefore, Jess could be third, fourth, or fifth.

### Example Question #96 : Solving Two Variable Logic Games

A human resources manager must schedule a round of interviews during a particular day. Six different time slots are available in the afternoon and are numbered one through six in sequential order. Six candidates - Joe, Jim, Mary, Bob, Jess, and Sue - must be scheduled during the afternoon. Only one candidate can occupy each interview slot. The assignment of interview slots is subject to the following restrictions:

• Either Mary or Bob must occupy the second time slot.
• Joe must occupy the sixth time slot.
• Mary and Bob cannot occupy consecutive time slots.
• Jim and Mary must occupy consecutive time slots.
• Sue must be interviewed before Jess.

If Jess is assigned to the fourth slot, then which of the following must be assigned to the fifth slot?

Joe

Mary

Sue

Jim

Bob

Bob

Explanation:

With Jess in the fourth slot, the only way for Jim and Mary to be placed consecutively is if Mary is in the second slot, and Jim is either first or third. Because Sue must be before Jess, she cannot be placed fifth. Joe is locked into the sixth spot. This leaves only Bob as a possibility for the fifth slot while meeting all restrictions.

### Example Question #97 : Solving Two Variable Logic Games

A talent show contest must schedule a round of preliminary auditions to be aired on television. The show will be broken up into six segments, and each contestant will occupy a different segment. Six contestants - lettered A, B, C, D, E, and F to prevent bias - will be scheduled for the contest. Only one contestant can occupy each audition segment. The assignment of auditions is subject to the following restrictions:

• E and F must occupy consecutive time slots.
• Either A or C must occupy the third time slot.
• A must audition before D.
• B must audition after C.
• B and C cannot occupy consecutive time slots.

Which of the following could be a possible order of auditions?

E, F, C, B, A, D

E, F, C, A, B, D

D, A, C, E, F, B

E, F, C, D, B, A

B, A, C, E, F, D

E, F, C, A, B, D

Explanation:

Only the following answer choice satisfies all five requirements:

E, F, C, A, B, D

### Example Question #98 : Solving Two Variable Logic Games

A talent show contest must schedule a round of preliminary auditions to be aired on television. The show will be broken up into six segments, and each contestant will occupy a different segment. Six contestants - lettered A, B, C, D, E, and F to prevent bias - will be scheduled for the contest. Only one contestant can occupy each audition segment. The assignment of auditions is subject to the following restrictions:

• E and F must occupy consecutive time slots.
• Either A or C must occupy the third time slot.
• A must audition before D.
• B must audition after C.
• B and C cannot occupy consecutive time slots.

Which of the following could be true?

F is assigned to the sixth time slot.

B is assigned to the sixth time slot.

A is assigned to the sixth time slot.

B is assigned to the first time slot.

B is assigned to the second time slot.

B is assigned to the sixth time slot.

Explanation:

Only the statement that B is assigned to the sixth slot can be true. If A is in the third slot, and since B and C cannot be consecutive, neither can go in slots one and two. This means E and F must go in the first two slots. This scenario only leaves B being in the sixth slot as the only possibility.

If C is in the third slot, since B cannot immediately follow it, again E and F must go in the first two slots. Because A must come before D, it cannot be in the sixth slot. Again, only B being in the sixth slot is a possibility.

### Example Question #91 : Solving Two Variable Logic Games

A talent show contest must schedule a round of preliminary auditions to be aired on television. The show will be broken up into six segments, and each contestant will occupy a different segment. Six contestants - lettered A, B, C, D, E, and F to prevent bias - will be scheduled for the contest. Only one contestant can occupy each audition segment. The assignment of auditions is subject to the following restrictions:

• E and F must occupy consecutive time slots.
• Either A or C must occupy the third time slot.
• A must audition before D.
• B must audition after C.
• B and C cannot occupy consecutive time slots.

If E is assigned to the first time slot, then each of the following could be true EXCEPT:

B occupies the fourth slot.

A occupies the third slot.

C occupies the third slot.

D occupies the fifth slot.

F occupies the second slot.

B occupies the fourth slot.

Explanation:

The only statement that cannot be true is that B can occupy the fourth slot. If C is in the third slot, B cannot occupy the fourth slot because it cannot be consecutive with C. If A is in the third slot, E and F must be in the first two slots. Since B must be after C and in this scenario C must be fourth or later, B cannot occupy the fourth slot.

### Example Question #91 : Solving Two Variable Logic Games

A talent show contest must schedule a round of preliminary auditions to be aired on television. The show will be broken up into six segments, and each contestant will occupy a different segment. Six contestants - lettered A, B, C, D, E, and F to prevent bias - will be scheduled for the contest. Only one contestant can occupy each audition segment. The assignment of auditions is subject to the following restrictions:

• E and F must occupy consecutive time slots.
• Either A or C must occupy the third time slot.
• A must audition before D.
• B must audition after C.
• B and C cannot occupy consecutive time slots.

If B is assigned to the fifth time slot, then which of the following is a complete and accurate list of possible slots for D?

fifth, sixth

fourth, fifth

sixth

fourth, sixth

fourth, fifth, sixth