Step 1: Identify the five girls
The five are: Aishwarya (A), Sushmita (S), Rachel (R), Anu (U), and Manpreet (M).
Step 2: Extract constraints from the passage
1. A refuses to stand next to S.
2. R and U want to stand together.
3. M cannot get along with R.
4. Anu must be at the extreme right (due to astrologer’s instruction).
5. There are 5 positions in a straight line: positions 1 to 5 (from left to right).
Step 3: Place Anu (U)
U must be at position 5 (extreme right). Since R and U want to be together, R must be in position 4.
Step 4: Handle Manpreet’s constraint
M cannot be next to R. So M cannot be at position 3 or 5. Position 5 is U, so M is not there. Position 3 is forbidden because it’s next to position 4 (R). Therefore, M can only be at position 2 or position 1.
Step 5: Given in Q164: A is at extreme left
So A is at position 1. This means M cannot be at position 1 (A already there), so M must be at position 2.
Step 6: Place Sushmita (S)
Remaining open positions are position 3 and position 5 is already U, position 4 is R. Since A and S cannot be next to each other, and A is at position 1, S cannot be at position 2 (M already there) and can safely be at position 3.
Step 7: Final arrangement
Pos 1: A, Pos 2: M, Pos 3: S, Pos 4: R, Pos 5: U.
Step 8: Identify the middle position
The middle position (3) is Sushmita (S). Wait — this seems contradictory to option (a). Let’s check carefully:
We made S in position 3, so middle = Sushmita → Option (b) seems correct. But we must verify against constraints: S is next to M and R — no problem. A not next to S? But A at position 1, S at position 3 means M in between, so yes it satisfies.
Thus, middle girl is Sushmita → answer is (b), not (a).