LSAT Logic Games : Linear Games

Study concepts, example questions & explanations for LSAT Logic Games

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Example Questions

Example Question #94 : Two Variable

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:

Possible Answers:

Bob is assigned to the fourth time slot.

Mary is assigned to the second time slot.

Jim is assigned to the first time slot.

Jess is assigned to the fourth time slot.

Bob is assigned to the second time slot.

Correct answer:

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 : Two Variable

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?

Possible Answers:

third, fifth

third, fourth, sixth

third, fourth, fifth, sixth

third, fourth, fifth

third, fourth

Correct answer:

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 #93 : Two Variable

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?

Possible Answers:

Mary

Bob

Jim

Sue

Joe

Correct answer:

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 #94 : Two Variable

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?

Possible Answers:

E, F, C, B, A, D

B, A, C, E, F, D

E, F, C, D, B, A

D, A, C, E, F, B

E, F, C, A, B, D

Correct answer:

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 : Two Variable

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?

Possible Answers:

B is assigned to the sixth time slot.

B is assigned to the first time slot.

F is assigned to the sixth time slot.

A is assigned to the sixth time slot.

B is assigned to the second time slot.

Correct answer:

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 #99 : Two Variable

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:

Possible Answers:

C occupies the third slot.

B occupies the fourth slot.

F occupies the second slot.

D occupies the fifth slot.

A occupies the third slot.

Correct answer:

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 #100 : Two Variable

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?

Possible Answers:

fourth, fifth

fifth, sixth

fourth, fifth, sixth

sixth

fourth, sixth

Correct answer:

sixth

Explanation:

If B is assigned to the fifth slot, then E and F must occupy the first two slots. If A is in the third slot, then C would have to be either fourth or sixth. Since B and C cannot occur consecutively, A cannot be in the third slot in this scenario. Therefore, C must be in the third slot. Since A must come before D, A must then be in the fourth slot and D in the sixth slot. This is the only possible position for D when B is fifth.

Example Question #101 : Two Variable

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 D is assigned to the fifth slot, then which of the following must be assigned to the sixth slot?

Possible Answers:

B

E

C

A

F

Correct answer:

B

Explanation:

With D in the fifth slot, E and F must be in the first two slots. If A is in the third slot, and since B must come after C, this leaves C in the fourth slot and B in the sixth slot. If C is in the third slot, and since B and C cannot be consecutive, again B must be in the sixth slot.

Example Question #102 : Two Variable

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 Jim is assigned to the fourth slot, which of the following must be true?

Possible Answers:

Mary must occupy the fifth slot.

Jess must occupy the first slot.

Bob must occupy the third slot.

Sue must occupy the third slot.

Mary must occupy the third slot.

Correct answer:

Mary must occupy the fifth slot.

Explanation:

The only restriction that involves Jim is that he and Mary must occupy consecutive slots. Therefore, if Jim occupies the fourth slot, Mary must occupy the third or fifth slot. Since Mary can't be in the second slot, Bob must be assigned to this slot. Lastly, Mary and Bob cannot occupy consecutive slots. So if Bob is in the second slot, Mary cannot be in the third slot. Mary must be in the fifth time slot. Now the 2nd, 4th, 5th, and 6th slots are all accounted for. Finally, since Sue must be interviewed before Jess, Sue must be 1st and Jess must be 3rd.

Example Question #102 : Two Variable

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 C is assigned to the third time slot, then which of the following must be true?

Possible Answers:

B must be assigned to the sixth time slot.

A must be assigned to the fourth time slot.

E must be assigned to the fifth time slot.

F must be assigned to the fifth time slot.

A must be assigned to the second time slot.

Correct answer:

A must be assigned to the fourth time slot.

Explanation:

The only statement that must be true is that A must be assigned to the fourth time slot. B cannot be consecutive with C but must come before C, which leaves only the fifth or sixth slots for B. Because E and F must be consecutive, they must be in slots one and two. Since A must come before D, D must either be fifth or sixth. Therefore, A must be in the fourth slot.  

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