Direction: Study the following information carefully and answer the given…
2020
Direction: Study the following information carefully and answer the given questions.
Eight persons A, B, C, D, E, F, G and H are working in a company in three different departments - Production, Management and Finance - on two posts - Manager and General Manager - but not necessarily in the same order. All of them have different ages in whole numbers. E's age is twice C's age. A is 53 years old and is working in Production. The persons whose total age is 100 years are working in Finance as General Manager. F is working in Production. B is working in Management but not with D, and the posts of B and D are different. Both H and G are working at the same post but not in the Production department. Both H and F are working at different posts. Not more than two persons work on the same post in the same department. Both E and A work in the same department but at different posts. Both A and D work on different posts. The sum of the ages of C and G is 64 years. Both C and D are Managers but in different departments, and not in Production. E is 12 years older than F and 12 years younger than H. The difference between the ages of C and D is equal to H's age. B is 30 years old and its age is half of H's age.
Which of the following is the post and department of B respectively?
- A.
Manager - Finance
- B.
General Manager - Management
- C.
Manager - Management
- D.
Can't be determined
- E.
None of these
Show answer & explanation
Correct answer: B
Concept
In a constraint-grid (linear-arrangement) puzzle, every clue is a fact that fixes or restricts where an element sits. Two reliable principles drive the deduction: (1) resolve all numeric clues first to pin every value, because age-based clues then convert directly into placements; and (2) chain the fixed clues so each new placement is forced, never guessed. When every position is uniquely forced, the grid is the single valid solution.
Application — fix the ages
Each numeric clue gives one age; solve them in dependency order:
A is stated as 53; B is stated as 30.
B is half of H, so H = 2 x 30 = 60.
E is 12 younger than H, so E = 60 - 12 = 48.
E is 12 older than F, so F = 48 - 12 = 36.
E is twice C, so C = 48 / 2 = 24.
Sum of C and G is 64, so G = 64 - 24 = 40.
Difference of C and D equals H (60); since D must be a whole positive age, D = 24 + 60 = 84.
Ages: A = 53, B = 30, C = 24, D = 84, E = 48, F = 36, G = 40, H = 60.
Application — place departments and posts
Now convert the age and arrangement clues into placements, each step forced by the previous:
The two whose ages total 100 work in Finance as General Manager. Only G (40) + H (60) = 100, so G and H are both Finance, General Manager.
A (53) works in Production; E shares A's department, so E is in Production too, on the opposite post to A.
H and F hold different posts; H is General Manager, so F is Manager (and F is in Production).
C and D are both Manager, in different departments, neither in Production. With Finance and Management the only remaining options, one of C, D is Finance-Manager and the other Management-Manager.
B is in Management; B and D are in different departments and hold different posts. If D were Management, that clashes with B's department, so D is Finance-Manager, which leaves C as Management-Manager.
B and D hold different posts; D is Manager, so B is General Manager. Hence B is General Manager in Management.
A and D hold different posts; D is Manager, so A is General Manager, and therefore E (opposite to A) is Manager in Production.
Final grid
Person | Department | Post |
|---|---|---|
A | Production | General Manager |
B | Management | General Manager |
C | Management | Manager |
D | Finance | Manager |
E | Production | Manager |
F | Production | Manager |
G | Finance | General Manager |
H | Finance | General Manager |
Cross-check
B and D are in different departments (Management vs Finance) and on different posts (General Manager vs Manager), matching the clue. No post-department cell holds more than two people (Production-Manager has E and F; Finance-General Manager has G and H). Every clue is satisfied and the arrangement is unique, so B is General Manager in the Management department.