Direction : Study the given information carefully to answer the related…
2021
Direction : Study the given information carefully to answer the related questions:
Nine persons work in three departments i.e., operations, finance and marketing of a company. On their meeting day, they wear different color shirts i.e., white, blue, green, orange, red, black, purple, pink and violet. All the information is not necessary in the same order as given.
The persons work in operations do not wear orange and black. T works only with the one wearing green but not in marketing. R wears white and work with G but not in marketing. Only the persons wearing red and black work together in same department. B works with E and none of them wear black. A does not work in operations but wears violet. M neither works in finance nor with the one wearing red. The one wearing purple does not work in finance. G and D do not wear red and orange. H does not work with E who does not wear blue and orange.
Who among the following wears black shirt?
- A.
D
- B.
H
- C.
E
- D.
B
- E.
None of these
Attempted by 3 students.
Show answer & explanation
Correct answer: A
Concept
In a constraint-satisfaction puzzle you lock down the certain clues first, then chain the conditional clues to force each attribute. A clue of the form "only X and Y work together" defines a closed group: that department contains exactly those members and no one else.
Applying it to this puzzle
Fix the certainties: R wears white, A wears violet, and A is not in operations.
"Only the persons wearing red and black work together" makes the red-wearer and black-wearer a closed two-person department on their own.
"T works only with the one wearing green" (and not in marketing) makes T plus the green-wearer a second closed two-person department. The remaining five persons must form the third department.
R wears white and works with G (not marketing); B works with E. Placing R, G, B, E together with A gives a five-person group: this is finance (A, R, G, B, E).
Two departments are left for the two closed pairs. T's pair cannot be marketing, so T plus the green-wearer is operations, and the red-and-black pair is marketing.
Operations may not carry orange or black; M is not in finance and not with the red-wearer, so M is the green-wearer in operations and T wears purple.
Marketing is the red-and-black pair. G and D are barred from red and orange, and B and E cannot wear black, so within the closed pair H takes red and D takes black.
Cross-check
Marketing ends up with exactly the red-shirt and black-shirt wearers, satisfying "only red and black work together." Operations holds purple and green only, satisfying the operations colour ban. Every clue is consistent, so the arrangement is unique.
Result: D wears the black shirt.