Directions: Answer the questions based on the information given below. Six persons P, Q, R, S, T and U are sitting in Row 1 facing north whereas A, B, C, D, E, and F are sitting In Row 2 facing south such that both rows are equidistant and parallel to each other but not necessarily in the same order. The persons sitting in Row 1 faces the persons sitting in Row 2. The distance between any two adjacent persons is same. Two persons sit between R and S, who does not sit opposite to B. C does not sit opposite to Q or U. D sits adjacent to C. U sits at the extreme left end of the row. Q sits 3rd to the right of U. E sits opposite to the one, who sits adjacent to Q. Two persons sit between E and B, who does not sit at any of the ends of the row. F sits 4th to the left of B and opposite to P.
Question
Directions: Answer the questions based on the information given below. Six persons P, Q, R, S, T and U are sitting in Row 1 facing north whereas A, B, C, D, E, and F are sitting In Row 2 facing south such that both rows are equidistant and parallel to each other but not necessarily in the same order. The persons sitting in Row 1 faces the persons sitting in Row 2. The distance between any two adjacent persons is same. Two persons sit between R and S, who does not sit opposite to B. C does not sit opposite to Q or U. D sits adjacent to C. U sits at the extreme left end of the row. Q sits 3rd to the right of U. E sits opposite to the one, who sits adjacent to Q. Two persons sit between E and B, who does not sit at any of the ends of the row. F sits 4th to the left of B and opposite to P.
Solution
Sure, let's solve this step by step.
Step 1: Understand the seating arrangement
- There are two rows: Row 1 (P, Q, R, S, T, U) facing north and Row 2 (A, B, C, D, E, F) facing south.
- The persons in Row 1 face the persons in Row 2.
- The distance between any two adjacent persons is the same.
Step 2: Place U and Q in Row 1
- U sits at the extreme left end of Row 1.
- Q sits 3rd to the right of U.
So, the arrangement in Row 1 so far is:
U _ _ Q _ _
Step 3: Place R and S in Row 1
- Two persons sit between R and S.
- S does not sit opposite to B.
There are two possible placements for R and S:
- R _ _ S _ Q
- S _ _ R _ Q
Step 4: Place E in Row 2
- E sits opposite to the one who sits adjacent to Q.
If we consider the first possible placement for R and S:
U _ R _ S Q
The person adjacent to Q is S. So, E cannot sit opposite to S. Therefore, we consider the second possible placement:
U S _ _ R Q
The person adjacent to Q is R. So, E sits opposite to R.
Step 5: Place B in Row 2
- Two persons sit between E and B.
- B does not sit at any of the ends of the row.
Since E is opposite to R, we place E in Row 2:
_ _ _ E _ _
Two persons between E and B means B can be in either of these positions:
B _ _ E _ _
_ _ _ E _ B
Since B does not sit at any of the ends, the only valid position is:
_ B _ E _ _
Step 6: Place F in Row 2
- F sits 4th to the left of B and opposite to P.
Since B is in the second position, F must be in the 6th position:
_ B _ E _ F
F is opposite to P, so P must be in the 6th position in Row 1:
U S _ _ R Q
_ B _ E _ F
_ _ _ _ _ P
Step 7: Place C and D in Row 2
- C does not sit opposite to Q or U.
- D sits adjacent to C.
Since C cannot sit opposite to Q or U, and D is adjacent to C, the only valid positions for C and D are:
D C _ E _ F
Step 8: Finalize the arrangement
Now we have:
Row 1: U S _ _ R Q P
Row 2: D C _ E _ F B
Step 9: Fill in the remaining positions
- Two persons sit between R and S, so the only valid position for T is:
U S T _ R Q P
- The remaining position in Row 2 is A:
D C A E _ F B
Final arrangement:
Row 1: U S T _ R Q P
Row 2: D C A E _ F B
So, the final seating arrangement is:
- Row 1 (facing north): U, S, T, _, R, Q, P
- Row 2 (facing south): D, C, A, E, _, F, B
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