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Analytical Reasoning Flashcards

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  1. In a scheduling game, six events — A, B, C, D, E, F — occur over three days (Day 1, Day 2, Day 3), with exactly two events per day. A and B occur on the same day. C occurs on Day 1. D occurs before E (on an earlier day). If F occurs on Day 3, which of the following must be true?

    Answer: E occurs on Day 3

    C is on Day 1 and F is on Day 3; A and B are on the same day; D must be on an earlier day than E; with Day 3 having F and one other event, and D needing to precede E, E must be on a later day than D — if D is on Day 1 or 2 and E must come after, E could be on Day 2 or 3; the only slot on Day 3 besides F is available for one event, and given the constraints, E is forced to Day 3.

  2. Five packages — V, W, X, Y, Z — are delivered on five consecutive days Monday through Friday, one per day. X is delivered on Wednesday. W is delivered sometime after V. Z is delivered the day immediately before Y. Which days are possible for Z's delivery?

    Answer: Monday, Tuesday, or Thursday

    X is on Wednesday; Z must be immediately before Y, so Z cannot be Friday (no day after); Z cannot be Wednesday (X is there); Z can be Monday (Y=Tuesday), Tuesday (Y=Thursday), or Thursday (Y=Friday), giving three possible days.

  3. Eight items are placed in a 2×4 grid (2 rows, 4 columns). Item A is in row 1. Item B is directly below item A. Item C is in column 4. Item D is not in the same row as item C. If item E is in row 2, column 1, where can item D be?

    Answer: Row 1, columns 1 through 3 only

    C is in column 4; D cannot be in the same row as C; E is in row 2, column 1; if C is in row 1 (column 4), D must be in row 2; if C is in row 2 (column 4), D must be in row 1; without knowing C's row, D's restriction depends on C's row, but since C is in column 4 and D must be in the opposite row, D is in row 1 if C is in row 2, which means D is in row 1 columns 1-3 (not column 4 since that's C's column).

  4. Three lawyers — X, Y, Z — and three paralegals — P, Q, R — are assigned to two case teams. Each team has exactly three members and must include at least one lawyer and at least one paralegal. X and P cannot be on the same team. Y and Q must be on the same team. If Z is on Team 1, which of the following is a valid Team 1 composition?

    Answer: Z, Y, Q

    Z is on Team 1; Y and Q must be on the same team; if Y and Q are both on Team 1 with Z, that gives a valid three-member team (Z, Y, Q) with one lawyer (Z or Y) and one paralegal (Q), satisfying the 'at least one of each' requirement.

  5. A logic puzzle involves placing six tiles numbered 1–6 in a row of six slots. Tile 2 is not in slot 2. Tile 4 is immediately to the right of tile 3. Tile 6 is in slot 6. Tile 1 is somewhere to the left of tile 5. If tile 3 is in slot 3, which tile is in slot 2?

    Answer: Tile 1 or Tile 5

    Tile 3 is in slot 3 and tile 4 is immediately to its right (slot 4); tile 6 is in slot 6; tile 2 is not in slot 2; the remaining tiles for slots 1, 2, and 5 are tiles 1, 2, and 5; tile 2 cannot be in slot 2, so slot 2 must contain tile 1 or tile 5; tile 1 must be left of tile 5, so if tile 1 is in slot 2, tile 5 must be in slot 5 (valid); if tile 5 is in slot 2, tile 1 must be in slot 1 (valid) — both are possible.

  6. In a game, five switches — labeled A through E — can each be ON or OFF. Exactly three switches are ON. If A is ON, then B is ON. If C is ON, then D is OFF. E is always ON. Which combination is impossible?

    Answer: C ON, D ON, E ON

    If C is ON, then D must be OFF; option C has both C and D ON, which directly violates the 'if C ON then D OFF' constraint.

  7. Seven runners complete a race. Runner 1 finishes before runner 2. Runner 3 finishes before runner 4. Runner 5 finishes last. Runners 1 and 3 do not finish consecutively. If runner 2 finishes 4th, how many runners could finish 3rd?

    Answer: Two

    Runner 2 is 4th; runner 1 must finish before runner 2 (1st, 2nd, or 3rd); runner 5 is 7th; runner 1 and runner 3 cannot be consecutive; with runner 2 in 4th, runner 1 can be 1st, 2nd, or 3rd; the 3rd-place runner must be compatible with all constraints, and given the non-consecutive rule between runners 1 and 3, only specific placements work — careful analysis yields exactly two runners who could be 3rd.