Study the following information carefully and answer the questions given…
2025
Study the following information carefully and answer the questions given below:
Seven persons – A, B, C, D, E, F and G – work in a company. Each of them belongs to one of the three departments: Finance, HR and Marketing. Not less than two and more than three persons work in the same department. Each person likes a different colour among – Red, Blue, Green, Yellow, White, Black, and Orange.
F and A works in different departments but both of them doesn’t work in HR. D and the one who likes white works in the same department, but not with F and A. D doesn’t like white. E likes red and works in the same department as A. C only works with the one who likes blue. F likes yellow. C doesn’t like blue. B and E works in different department. The one who likes black and orange works in the same department. G works in Finance. A and G doesn’t like orange. The one who likes black doesn’t work in marketing.
Which of the following statements is not true?
- A.
The one who likes blue works in HR
- B.
A works in Marketing department
- C.
B and D work in the same department
- D.
A likes Green
- E.
The one who likes orange works in Finance department
Attempted by 3 students.
Show answer & explanation
Correct answer: C
Concept
These grouping puzzles are solved by fixing the smallest, most constrained facts first, then propagating each clue until every person has exactly one department and one colour. With 7 people across 3 departments and the rule that no department holds fewer than 2 or more than 3, the only possible split of group sizes is 3, 2 and 2. Build a department-vs-colour grid and eliminate impossibilities clue by clue.
Building the arrangement
Fixed colours and seats: F likes Yellow, E likes Red, and G is in Finance. F and A are in different departments and neither is in HR, so F and A occupy Finance and Marketing in some order.
E sits with A; B sits apart from E. Since A is in Finance or Marketing, place A and E together and keep B in a different group.
The Black-liker is not in Marketing and shares a group with the Orange-liker; A and G dislike Orange. The only group that can hold both Black and Orange (size 3, not Marketing) is Finance, anchored by G.
G already dislikes Orange, so within Finance G takes Black and the third Finance member takes Orange. F likes Yellow, so the Orange-liker must be B — placing B in Finance with G, and F joins them, giving Finance = three people.
D shares a group with the White-liker but not with F or A, and D does not like White. That forces D into HR. C works only with the Blue-liker, so C and the Blue-liker form the 2-person HR group with D — meaning D likes Blue and C likes White.
The remaining group is Marketing with A and E (E = Red), leaving A = Green.
Final grid
Department | Persons | Colours |
|---|---|---|
Finance | G, F, B | Black, Yellow, Orange |
HR | D, C | Blue, White |
Marketing | A, E | Green, Red |
Cross-check the statements
The question asks which statement is NOT true. Test each against the grid:
Blue-liker (D) is in HR — true.
A is in Marketing — true.
B is in Finance and D is in HR, so they are in different departments — this statement is false, and is therefore the answer.
A likes Green — true.
Orange-liker (B) is in Finance — true.
Only the claim that B and D share a department conflicts with the unique arrangement, so it is the statement that is not true.