Logic Games: Sequencing and Ordering Games Flashcards
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In a sequencing game, the phrase 'at least two positions before' means:
Answer: The first variable's position number is at least 2 less than the second's.
If X is at least two positions before Y, then Y's position − X's position ≥ 2, meaning at least one other slot separates them.
A game places five runners in finishing positions 1–5. Clues: H finishes before J; J finishes before K; L finishes before H. Which of the following is a complete list of runners that COULD finish first?
Answer: L only
The chain L<H<J<K means L must come before H, H before J, and J before K; only L has no one required before it, so only L can finish first.
In a sequencing game, you are told 'either P is before Q, or R is before S, but not both.' If R is before S, which of the following must be true?
Answer: Q is before P.
Since the constraint is an exclusive or, if R is before S (second condition is true), then P before Q (first condition) must be false — meaning Q is before P.
Six musicians perform in sequence. Violinist (V) performs sometime before Cellist (C). Guitarist (G) performs immediately after Drummer (D). Pianist (P) performs last. Flutist (F) performs first. If C performs third, which of the following could be the complete performance order?
Answer: F, V, C, D, G, P
F first, V second, C third, D fourth, G fifth (G immediately after D), P last — all constraints satisfied.
A sequencing game involves eight packages delivered in order. Package T is delivered exactly three positions after Package R. If R is delivered second, in what position is T delivered?
Answer: 5th
R in position 2, plus exactly 3 positions later, places T in position 2 + 3 = 5.
In a linear ordering game, the clue 'X is not first and not last' combined with 'Y is last' means:
Answer: X can be in any position except the first and the last occupied by Y.
X is excluded from position 1 and from the last position (which is fixed as Y's), so X can occupy any middle position.
In a complex sequencing game, the contrapositive of 'If A is third, then B is fifth' is:
Answer: If B is not fifth, then A is not third.
The contrapositive of 'If P then Q' is 'If not Q then not P,' so the contrapositive is 'If B is not fifth, then A is not third.'