Eight persons A, B, C, D, E, F, G, and H work in a company across three departments — Production, Management, and Finance — holding two possible posts...

Eight persons A, B, C, D, E, F, G, and H work in a company across three departments — Production, Management, and Finance — holding two possible posts: Manager and General Manager. Each person has a unique whole number age. The following conditions apply:

• E’s age is twice that of C.
• A is 53 years old and works in Production.
• The persons whose combined age is 100 years work in Finance as General Managers.
• F works in Production.
• B works in Management but not with D, and B and D hold different posts.
• H and G hold the same post but are not in Production.
• H and F hold different posts.
• No more than two persons hold the same post within the same department.
• E and A work in the same department but hold different posts.
• A and D hold different posts.
• The sum of ages of C and G is 64.
• C and D are Managers but in different departments, neither in Production.
• E is 12 years older than F and 12 years younger than H.
• The difference between the ages of C and D equals H’s age.
• B is 30 years old, which is half of H’s age.

Question:

Which of the following correctly states the post and department of B respectively?