Three persons A, B and C wore shirts of black, blue and orange colours (not necessarily in that order) and pants of green, yellow and orange colours (not necessarily in that order). No person wore shirt and pants of the same colour. Further, it is given that

Correct Option (2)

: Green and blue

The solution can be derived by systematically applying the given constraints:

• Constraint 5 states that B wore pants of orange colour.
• Deduction for B's shirt: As no person wore a shirt and pants of the same colour, B could not wear an orange shirt. Additionally, Constraint 2 states that B did not wear a blue shirt. Therefore, B must have worn a black shirt.
• Deduction for C's shirt: The available shirt colours are black, blue, and orange. Since B wore a black shirt, the remaining shirt colours are blue and orange. Constraint 3 states that C did not wear an orange shirt. Consequently, C must have worn a blue shirt.
• Deduction for A's shirt: With B wearing a black shirt and C wearing a blue shirt, the only remaining shirt colour for A is orange.
• Deduction for A's pants: The available pant colours are green, yellow, and orange. B wore orange pants. Constraint 4 states that A did not wear green pants. Therefore, A must have worn yellow pants.
• Deduction for C's pants: With B wearing orange pants and A wearing yellow pants, the only remaining pant colour for C is green.

Based on these deductions, C wore green pants and a blue shirt.

Incorrect Options:

• Option (1) Orange and black: This is incorrect. C wore green pants and a blue shirt. Furthermore, B wore orange pants, making it impossible for C to also wear orange pants.
• Option (3) Yellow and blue: This is incorrect. While C wore a blue shirt, C wore green pants, not yellow pants. A wore yellow pants.
• Option (4) Yellow and black: This is incorrect. C wore green pants and a blue shirt. A wore yellow pants, and B wore a black shirt.