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 they have different ages in the whole number.
E’s age is twice of C’s age. A is 53 years old and 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 posts of B and D are different. Both H and G are working at same post but not in production department. Both H and F are working at different post. Not more than two persons working on same post in same department.
Both E and A working in same department but at different post. Both A and D work in different post. Sum of the ages of C and G is 64 years. Both C and D are manager but in different departments but not in the production. E is 12 years older to F and 12 years younger to H. Difference between the age of C and D is equal to H’s age. B is 30 years old and its age is half the H’s age.
Four of the following five are alike in a certain way and so form a group. Find the one who does not belong to that group?
- A.
E-48
- B.
D-84
- C.
G-40
- D.
C-36
- E.
B-30
Attempted by 2 students.
Show answer & explanation
Correct answer: D
Concept
In an "odd one out" puzzle, every clue that links two unknowns by a numeric relation (a multiple, a sum, a difference, or "half/twice of") can be turned into an equation. Resolve a single fully-known value first, then substitute it forward through the chain of relations until every person's exact age is fixed. The pair that disagrees with the fixed value is the one that does not belong.
Application
Solving the age relations step by step:
B = 30, and 30 is half of H, so H = 2 × 30 = 60.
E is 12 years younger than H, so E = 60 − 12 = 48.
E's age is twice C's age, so C = 48 ÷ 2 = 24.
Sum of C and G is 64, so G = 64 − 24 = 40.
Difference between C and D equals H's age (60), so D = 24 + 60 = 84.
Cross-check
Independent check using the remaining clue: E is 12 years older than F gives F = 48 − 12 = 36, which is consistent with the whole-number ages and the A = 53 datum. Matching each given pair against the fixed ages: E with 48, B with 30, G with 40 and D with 84 all agree. The pair stating C as 36 conflicts with the deduced value C = 24.
Result: the pair C-36 is the one that does not belong to the group.