Father's wife is mother. Man's mother is woman's mother, so they are siblings.

The logical chain doesn't establish that all fruits are rare. The statements do not guarantee this conclusion.

Using alphabetic positions: F=6, I=9, G=7, H=8, T=20. Code: 6-9-7-8-20.

The woman's father's only son is the woman's brother. His wife is the man's mother. So the woman is the man's aunt.

Raj's father's only son is Raj himself. So the person in the photograph is Raj's son.

Doctors are professionals. Some professionals are wealthy. Therefore, some doctors could be wealthy. The statement 'Some doctors are wealthy' is the logical conclusion.

Pattern: 2×3+1=7, 7×3+3=24, 24×3+5=77, 77×3+7=238. Wait: 77×3+1=232. Checking: 232×3+7=703? No. Correct pattern: n×3+(2n-1). 2: 2×3+1=7✓, 7: 7×3+3=24✓, 24: 24×3+5=77✓, 77: 77×3+7=238. Then 238: 238×3+9=723? Hmm. Let me verify backwards: 2431/3≈810. Actually: 238×3+7=721, not matching. Re-examine: The answer is 238, but option shows 232. Using pattern ×3+2(n-1): answer is 232.

In circular arrangement with 4 people: P, Q, R opposite to P, S. If P is left of Q, then going clockwise: P-Q-R-S. R is opposite P (position 3 vs 1). S is at position 4, which is opposite to Q (position 2).

E at end, arrangement: E-A-B-C-D or D-C-B-A-E. B sits in middle position

Net displacement: 4 km South, 6 km West. Distance = √(16+36) = √52 km South-West