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.
How many persons work in finance department?
- A.
Two
- B.
Three
- C.
Five
- D.
Four
- E.
Either three or four
Attempted by 2 students.
Show answer & explanation
Correct answer: C
Concept
In a grouping/distribution puzzle, certain clue patterns fix the exact SIZE of a group: “P works ONLY with the one wearing C” makes P’s department contain just those two people, and “ONLY the ones wearing C₁ and C₂ work together” makes that department contain only those two people. Each such clue pins a department to size 2. Once some group sizes are fixed, the size of the remaining group is forced by the total count. Negative placement clues (“not in marketing”, “not in operations”) then attach a department NAME to each group.
Application
“T works only with the one wearing green” → T’s department holds exactly T and the green-shirt person, so that group has size 2.
“Only the persons wearing red and black work together” → the red–black department holds only those two, so it is a second group of size 2. (Green ≠ red or black, so these are two different groups.)
With nine people split into three departments, two of them holding 2 each, the third department is forced to hold 9 − 2 − 2 = 5 people. So the distribution of sizes is 2, 2, 5.
Now name the groups. R wears white and works with G, and R is not in marketing; R cannot be in the size-2 T-group (that is T + green only) nor in the red–black group (white is neither colour), so R and G sit in the largest group. Since R cannot be in marketing, the largest group is not marketing.
Operations cannot contain orange or black, so the red–black pair is not operations; with T’s group also barred from marketing, the red–black pair takes marketing. That leaves operations and finance for the two remaining groups: T’s pair and the largest group.
A wears violet and is not in operations, so A is not in the operations group; A is also not the white/green/red/black wearer, so A belongs to the largest group, which therefore is finance. The largest group has 5 members, so finance has 5 people.
Cross-check
Group sizes add up: 2 (operations) + 2 (marketing) + 5 (finance) = 9 persons. ✓
Each naming is consistent: marketing holds the red–black pair (allowed off operations), operations holds T’s pair (T is barred only from marketing), and finance is the five-person group containing R, G and A.