Seating Arrangement Puzzles

Let's track the passengers: Start with 6 passengers + 1 driver + 1 conductor = 8 people. Stop 1: 2 get down, 4 get in → 6-2+4 = 8 passengers → 8+2 crew = 10 people. Stop 2: 8 get in, 0 get down → 8+8 = 16 passengers → 16+2 crew = 18 people. Stop 3: No change, still 18. Stop 4: 3/4 of passengers get down → 16 × (1/4) = 4 passengers remain. 2 people get in → 4+2 = 6 passengers. Plus driver and conductor = 6+2 = 8 people. Stop 5: 4 people get down → 8-4 = 4. Wait, the question asks after FOURTH stop, before fifth. After fourth stop: 6 passengers + 2 crew = 8 people. Option C (8) is correct.

We need factors of 36 where both the factor and its quotient are >= 3. The pairs (rows, chairs) are: (3,12), (4,9), (6,6), (9,4), and (12,3). There are 5 such arrangements.

Given: Muloy- Niloy adjacent; Sujoy- Ajoy adjacent; Sujoy NOT next to Niloy. Square corners: if Sujoy-Ajoy are adjacent, and Muloy-Niloy are adjacent, with Sujoy not touching Niloy, then the only arrangement places Muloy diagonally opposite Ajoy. This satisfies all constraints.

This is a wordplay riddle. People sit IN vehicles (bus, mini bus, van, etc.) but sit AT a theatre watching a movie. The key difference is the preposition 'in' vs 'at' - you sit inside vehicles but sit at a location to watch something. The answer plays on this linguistic distinction.

By placing the individuals in a circle according to the constraints (C-A together, E-H opposite, G-D spacing), the relative positions are fixed. Following the clockwise/counter-clockwise logic of the seating, E ends up two places to the right of B.

Given A is taller than B but shorter than D, the height order is D > A > B. Since tallest (D) is youngest and shortest (B) is oldest, and C is neither oldest nor youngest, the age order must be B (oldest) > A/C (middle) > D (youngest). As D is tallest, D is youngest.

From the height relationship D > A > B, we know A is not the shortest. Since C is neither oldest nor youngest (but could be shortest), and the four girls are A, B, C, D, the only person who can be shortest is B. The oldest is shortest constraint confirms B is both oldest and shortest.

We can determine that D is tallest (youngest) and B is shortest (oldest), but A and C's relative ages cannot be determined from the given information. C is not oldest or youngest, so C is somewhere in the middle. A's age position relative to C is unknown - A could be older or younger than C.

We can determine that D is tallest (youngest) and B is shortest (oldest), but A and C's relative heights cannot be determined from the given information. We know A's position in the height ranking (D > A > B), but C's height position is unspecified.

If the 5th child is directly opposite the 18th child, there must be 13 children between them going one way around the circle (positions 6 through 18). Since they're opposite each other, there must also be 13 children going the other way, meaning 13 children separate them in both directions. With 13 children between them and the two end children themselves, we get 13 × 2 + 2 = 28 children total. In a circle of 28, position 5 is opposite position 19 (5 + 14 = 19), which is child 18 when counting from 5.

This is a logic puzzle. C sees two hats; if they were the same, C would know his own. Since C is silent, the hats on A and B must be different. B, seeing A's hat and knowing C is silent, deduces his hat must be the opposite of A's.

American business meetings typically have informal seating - people sit where convenient, near screens or around tables, without strict hierarchy. Option B describes a more traditional hierarchical system common in some Asian cultures but not the US. Option C suggests group-based segregation which is not typical in American business culture. American business culture values efficiency and egalitarianism over rigid status display.