Directions (74-78): Study the following information carefully and answer the questions given below.

Seven persons- A, B, C, D, E, F and G were born in different years – 1969, 1973, 1978, 1982, 1988, 1990 and 1995 but not necessarily in the same order. Age of each person is calculated on the base year 2022. C is two years elder than E. The age difference between F and E is a perfect cube number. The number of persons born after E is same as the number of persons born before D. The difference between the age of D and B is a prime number. A is older than G.

Four of the following five are alike in a certain way and hence form a group. Find the one who doesn’t belong to the group?

The correct answer is Option A (D).

Step-by-Step Explanation:

Step 1: Calculate the age of each person based on the year 2022.

Given base year = 2022.

- 1969: 2022 - 1969 = 53 years old

- 1973: 2022 - 1973 = 49 years old

- 1978: 2022 - 1978 = 44 years old

- 1982: 2022 - 1982 = 40 years old

- 1988: 2022 - 1988 = 34 years old

- 1990: 2022 - 1990 = 32 years old

- 1995: 2022 - 1995 = 27 years old

Step 2: Determine the positions of the persons based on the clues.

1. "C is two years elder than E."
Looking at the ages: (53, 49, 44, 40, 34, 32, 27), the ages with a difference of 2 years (where C = E + 2) are 34 and 32.
So, C's age = 34 (born in 1988) and E's age = 32 (born in 1990).

2. "The number of persons born after E is same as the number of persons born before D."
E is born in 1990, which is the 6^th birth year (1 person, born in 1995, is born after E).
Thus, 1 person was born before D, which means D was born in 1973 (Age of D = 49).

3. "The age difference between F and E is a perfect cube number."
E's age = 32. Perfect cubes are 1, 8, 27, 64, etc.
- If difference = 27: 32 + 27 = 59 (not in list), 32 - 27 = 5 (not in list).
- If difference = 8: 32 + 8 = 40 (present in list, year 1982).
So, F's age = 40 (born in 1982).

4. "The difference between the age of D and B is a prime number."
D's age = 49.
Remaining available ages for B, A, G are 53, 44, 27.
- |49 - 53| = 4 (not prime)
- |49 - 44| = 5 (prime number!)
- |49 - 27| = 22 (not prime)
Therefore, B's age = 44 (born in 1978).

5. "A is older than G."
Remaining ages: 53 and 27.
Since A is older than G, A's age = 53 (born in 1969) and G's age = 27 (born in 1995).

Final Arrangement (Birth Year / Age):

- 1969 (53): A

- 1973 (49): D

- 1978 (44): B

- 1982 (40): F

- 1988 (34): C

- 1990 (32): E

- 1995 (27): G

Step 3: Analyze the options to find the odd one out.

Let's look at the ages of the given options:

- B = 44 (Even number)

- F = 40 (Even number)

- C = 34 (Even number)

- E = 32 (Even number)

- D = 49 (Odd number)

All persons in the group B, F, C, and E have an even age, whereas D has an odd age (49). Therefore, D does not belong to the group.