In hall there are seven children (including girls and boys) P, Q, R, S, T, U and V. They sit on three benches I, II and III. Such that at least two children on each bench and at least one girl on each bench. R who is a girl child, does not sit with P, T and S. U the boychild sit with only Q. P sits on the bench I with his best friends. V sits on the bench III. T is the brother of R. Who sits with R?
V
Seating Arrangement Logic Puzzle
Analyze the seating constraints for seven children (P, Q, R, S, T, U, V) across three benches (I, II, III).
Key Constraints Breakdown
- Bench Rules: Each bench must accommodate at least two children and include at least one girl.
- R's Restrictions: R, a girl, cannot share a bench with P, T, or S.
- U & Q Unit: U (boy) sits exclusively with Q, forming a fixed {U, Q} pair.
- Known Locations: P occupies Bench I. V is seated on Bench III.
- Sibling Info: T is R's brother, meaning T is a boy.
Determining R's Seating
Evaluate possible benches for R:
- Bench I: P is already on Bench I. Since R cannot sit with P, Bench I is not possible for R.
- Bench II: The {U, Q} pair must sit together. V is on Bench III. P is on Bench I. T cannot sit with R. If R were on Bench II, her only potential companions (excluding P, T, S, and V who are elsewhere) would be U and Q. However, the rule "U sits with only Q" prevents R from joining the {U, Q} pair. Therefore, R cannot be on Bench II.
- Bench III: V is on Bench III. R cannot sit with P, T, or S. Since V is not on this restricted list, R can sit with V on Bench III. This placement satisfies the condition of having at least two children on the bench and accommodates R's restrictions.
Conclusion on R's Companion
Based on the deductions, Bench III is the only viable location for R. V is already confirmed to be on Bench III. Therefore, V is the child who sits with R.
Illustrative Arrangement:
| Bench I | Bench II | Bench III |
| {P, S, T} | {U, Q} | {V, R} |
This arrangement fulfills all stated conditions, confirming V sits with R.
Important Questions from Seating Arrangement
Five friends, Bhumika, Rashi, Shweta, Vibha and Arunima, are sitting in a row facing east. Bhumika is sitting between Vibha and Shweta. Rashi is second to the left of Shweta. Who is sitting at the south end?
O, P, Q, R, S, T and U are sitting in a row facing north. U is sitting to the immediate right of T. Q is sitting in between R and O. P, who is on the extreme right, is sitting to the immediate right of O. S is sitting to the immediate left of R. Who is sitting in the middle of the row ?
Six friends are sitting in a straight line. E is 4th from the right. E is between B and D. A is adjacent to B. D is adjacent to C. D is between E and C. F is adjacent to C. Who is sitting between F and D?
- Five people Palak, Karol, Risha, Saloni and Tishaare travelling in a car. The car has two seats in the front and three at the back. Rishais driving the car. Palak wants to sit at one of the window seats at the back of the car. Tisha wants to sit next to Palak. Karol hates Tisha and will not sit with Tisha. Who is sitting next to the driver ?
Eight friends are sitting in 2 rows facing each other. A is sitting opposite to D and is a neighbour of B and E. H and C are sitting at the right-most corners and E and F are sitting at the left-most corners of their respective rows. If G is sitting next to F, then who is sitting opposite to B?
