Five boys A, B, C, D, E and five girls P, Q, R, S, T are standing in two rows facing each other not necessarily in the order. E is not at any end. C is to the immediate right of B and D is to the immediate left of A, who is facing P. There are as many girls between P and Q as between R and S. A is second to the left of B. S and R are not facing either B or D.
Who is facing B?
Explanation
Solution
Step 1: Arrange the Boys (Row 1)
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We are given that A is second to the left of B.
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C is to the immediate right of B.
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D is to the immediate left of A.
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Combining these: D→A→(Empty)→B→C.
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There are five boys. Since E is not at any end, E must occupy the empty spot between A and B.
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Boy's Row (Left to Right): D−A−E−B−C.
Step 2: Determine Facing Pairs
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It is stated that A is facing P.
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S and R are not facing B or D.
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Since P faces A, and S/R cannot face B or D, S and R must face E and C (the only remaining spots besides A and B).
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This leaves Q or T to face B.
Step 3: Arrange the Girls (Row 2)
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There are as many girls between P and Q as between R and S.
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Based on the boy's arrangement:
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Position 1 (facing D): Must be Q or T.
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Position 2 (facing A): P.
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Position 3 (facing E): R or S.
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Position 4 (facing B): Q or T.
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Position 5 (facing C): S or R.
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If we place one girl between R and S (Positions 3 and 5), then there must be one girl between P and Q.
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P is at Position 2. For there to be exactly one girl between P and Q, Q must be at Position 4.
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Position 4 is directly opposite to Boy B.
Final Arrangement:
| Boys (Row 1) | D | A | E | B | C |
| :--- | :---: | :---: | :---: | :---: | :---: |
| Girls (Row 2) | T | P | R/S | Q | S/R |
Final Answer:
Q is facing B.
The correct option is 3.
