Sample Question 1-5:
Five friends—Alex, Ben, Chris, David, and Emma—went on a trip to five different destinations—Paris, London, Tokyo, New York, and Sydney. They stayed for different durations—1, 2, 3, 4, and 5 days—not necessarily in that order. The following conditions apply:
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Alex stayed in New York for more days than Emma.
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Chris stayed in Tokyo for an odd number of days.
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Ben stayed for a shorter duration than David but longer than Chris.
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Emma stayed in London for an even number of days.
Q 1:
Who stayed the longest?
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(A) Alex
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(B) Ben
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(C) Chris
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(D) David
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(E) Emma
Answer: (D)
Q 2:
Who stayed in Paris?
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(A) Alex
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(B) Ben
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(C) Chris
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(D) David
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(E) Emma
Answer: (A)
Q 3:
Who stayed for 3 days?
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(A) Alex
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(B) Ben
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(C) Chris
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(D) David
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(E) Emma
Answer: (B)
Q 4:
Who stayed in Tokyo?
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(A) Alex
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(B) Ben
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(C) Chris
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(D) David
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(E) Emma
Answer: (C)
Q 5:
Who stayed in Sydney?
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(A) Alex
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(B) Ben
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(C) Chris
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(D) David
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(E) Emma
Answer: (E)
Sample Question 1-6
Consider a group of five friends—Alice, Ben, Cindy, David, and Emily—who are attending a party and sitting in a row of five chairs. The following conditions must hold:
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Alice must sit either at the far left end or the far right end.
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Ben must sit next to Alice.
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Cindy must sit next to David.
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Emily cannot sit next to Ben.
Q 1.
If Alice sits at the far left end, which of the following could be an accurate seating arrangement from left to right?
(A) Alice, Ben, David, Cindy, Emily
(B) Ben, Alice, Cindy, David, Emily
(C) Emily, Cindy, David, Ben, Alice
(D) Ben, Cindy, David, Emily, Alice
(E) Alice, Emily, David, Cindy, Ben
Answer: (B)
Q 2.
If Emily sits at the far right end, who must sit next to Alice?
(A) Ben
(B) Cindy
(C) David
(D) Emily
(E) None of the above
Answer: (A)
Q 3.
If Ben sits next to Alice, which of the following could be true?
(A) Cindy sits next to Emily.
(B) David sits next to Cindy.
(C) Emily sits next to Ben.
(D) Alice sits next to Cindy.
(E) None of the above
Answer: (B)
Q 4.
If Cindy sits next to David, which of the following could be the correct arrangement from left to right?
(A) Ben, Emily, David, Cindy, Alice
(B) Alice, Ben, Emily, Cindy, David
(C) Emily, Ben, David, Cindy, Alice
(D) David, Cindy, Ben, Alice, Emily
(E) Cindy, Alice, Ben, Emily, David
Answer: (D)
Q 5.
If Emily cannot sit next to Ben, which of the following must be true?
(A) Cindy sits next to Ben.
(B) David sits next to Ben.
(C) Alice sits next to Ben.
(D) Emily sits next to Cindy.
(E) None of the above
Answer: (C)
Q 6.
Suppose Cindy must sit next to David, but all other conditions remain in effect. Which of the following could be an accurate seating arrangement from left to right?
(A) Ben, Alice, Cindy, David, Emily
(B) Emily, David, Cindy, Ben, Alice
(C) David, Cindy, Ben, Emily, Alice
(D) Cindy, Emily, David, Ben, Alice
(E) Alice, Ben, David, Cindy, Emily
Answer: (A)
Sample Question 3:
Six students—Alice, Bob, Carol, David, Emily, and Frank—are participating in a school competition, each presenting a different project—Science Fair, Art Exhibition, Debate, Music Concert, Quiz Competition, and Drama Performance—not necessarily in that order. The following conditions apply:
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Alice's project is after Carol's project but before Frank's project.
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Bob's project is not the last one.
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Emily's project is before David's project.
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Carol's project is not the first one.
Q 1:
Whose project is the last one?
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(A) Alice
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(B) Bob
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(C) Carol
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(D) David
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(E) Emily
Answer: (D)
Q 2:
Who presents the Science Fair project?
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(A) Alice
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(B) Bob
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(C) Carol
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(D) David
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(E) Emily
Answer: (A)
Q 3:
Whose project is before Emily's?
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(A) Alice
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(B) Bob
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(C) Carol
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(D) David
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(E) Frank
Answer: (C)
Q 4:
Who presents the Music Concert project?
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(A) Alice
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(B) Bob
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(C) Carol
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(D) David
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(E) Emily
Answer: (E)
Q 5:
Who presents the Drama Performance project?
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(A) Alice
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(B) Bob
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(C) Carol
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(D) David
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(E) Frank
Answer: (B)