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.
Which of the given combination is correct?
- A.
A- marketing
- B.
M- blue
- C.
White- operations
- D.
T- finance
- E.
E-pink
Show answer & explanation
Correct answer: E
Concept
In a grouping puzzle, two phrasings fix the size of a group precisely. "X works only with the one wearing colour C" means that group contains exactly two people — X and the C-wearer — and no one else. "Only the persons wearing colours P and Q work together" likewise means a group made up of exactly those two. Lock these two-person groups first; the remaining people must all fall into the third group. Never assume every group is the same size.
Application
Apply the fixed-size clues, then place the rest:
T works only with the one wearing green and not in marketing, so one group is exactly {T, green-wearer}, sitting in operations (it cannot be marketing, and finance is ruled out below). Operations forbids orange and black, so T and the green-wearer wear neither.
Only the red-wearer and the black-wearer work together, so a second group is exactly {red, black}. Operations forbids both colours, and the purple-wearer (and T's group) take other slots, so this red-black pair sits in marketing.
Everyone else — R(white) with G, B with E, and A(violet) — must share the only remaining group, finance. That makes finance a five-person group: R, G, B, E, A.
M cannot be in finance and cannot share with the red-wearer (who is in marketing), so M joins T's operations group; M is therefore the green-wearer.
Among the marketing pair, G and D cannot wear red, and the black-wearer cannot be E or B (both barred from black), leaving H = red and D = black for marketing.
In finance, A is violet and R is white. E cannot wear blue or orange, and G/D cannot wear orange; the puzzle also keeps purple out of finance, so T (operations) is purple. The leftover finance colours blue, orange, pink go to G, B, E with E = pink (blue and orange are blocked for E), G = blue, B = orange.
Final arrangement
Department | Members (colour) |
|---|---|
Operations | T (purple), M (green) |
Finance | R (white), G (blue), B (orange), E (pink), A (violet) |
Marketing | H (red), D (black) |
Cross-check
Testing the combinations against this arrangement: A is in finance (not marketing); M wears green (not blue); the white-wearer R is in finance (not operations); T is in operations (not finance). Only "E – pink" matches the arrangement, and every one of the ten conditions holds for it, so it is the single correct combination.