Question Details

Analyze the given details thoroughly and solve the query that follows.

Seven individuals were born in different years: 1985, 1992, 1994, 1998, 1999, 2001 and 2004. Their respective ages are determined using 2022 as the base year. The age gap between G and K is 7 years. F is 3 years older than K. The count of individuals born between F and G equals the count of individuals born between S and D. The number of individuals born after S is equal to the number of individuals born before L. H is not the eldest among them.

Which of the following individuals was born in the year 1994?

Options

A

G

B

S

C

D

D

H

E

K

Show Answer

Correct Answer :

Option A

G

Solution :

To determine who was born in the year 1994, let us calculate the age of each individual based on the base year 2022 and carefully step through the given clues.

Step 1: Calculate the ages based on the year 2022

1985: 2022 - 1985 = 37 years old
1992: 2022 - 1992 = 30 years old
1994: 2022 - 1994 = 28 years old
1998: 2022 - 1998 = 24 years old
1999: 2022 - 1999 = 23 years old
2001: 2022 - 2001 = 21 years old
2004: 2022 - 2004 = 18 years old

Let us list the birth years in order from oldest to youngest:
1. 1985 (37)
2. 1992 (30)
3. 1994 (28)
4. 1998 (24)
5. 1999 (23)
6. 2001 (21)
7. 2004 (18)

Step 2: Use the age difference clues for G, K, and F

We are given that the age gap between G and K is 7 years.

Looking at the ages: 37, 30, 28, 24, 23, 21, 18:

The pairs of ages with a difference of 7 years are:
- (30, 23) corresponding to years (1992, 1999)
- (28, 21) corresponding to years (1994, 2001)

We are also given: "F is 3 years older than K."

This means:
Age of F=Age of K+3

Let us test the possible ages for K:

Case 1: If K's age is 23 (born in 1999):
Then F's age would be 23 + 3 = 26. But 26 is not in our list of ages. So K cannot be 23.

Case 2: If K's age is 30 (born in 1992):
Then F's age would be 30 + 3 = 33, which is also not in our list. So K cannot be 30.

Case 3: If K's age is 21 (born in 2001):
Then F's age is 21 + 3 = 24 (born in 1998). This is a valid age in our list!
Since the age gap between G and K is 7 years, and K's age is 21, G's age must be 21 + 7 = 28 (born in 1994).

Let us check if K could be 28 (born in 1994):
If K is 28, F would be 28 + 3 = 31, which is not in our list.

Thus, we uniquely get:
- F was born in 1998 (age 24)
- G was born in 1994 (age 28)
- K was born in 2001 (age 21)

Step 3: Determine the remaining positions

The individuals born between F (1998) and G (1994) is 1 person (born in 1997 does not exist, but positionally 1994 is 3rd and 1998 is 4th, so there are 0 individuals born between them).

The clue states: "The count of individuals born between F and G equals the count of individuals born between S and D."
Since there are 0 people between F (1994) and G (1998), S and D must be born in consecutive years in the list.

We are also told: "The number of individuals born after S is equal to the number of individuals born before L."
And "H is not the eldest among them" (so H was not born in 1985).

Let us place S, D, L, and H in the remaining available birth years: 1985, 1992, 1999, 2004.
Since H is not born in 1985, 1985 must be occupied by L or S/D.
If L is born in 1985 (0 people before L), then S must be born in 2004 (0 people after S).
Then D, being consecutive with S, must be born in 2001 or 1999. Since 2001 is taken by K, D must be born in 1999.
This leaves 1992 for H.

Let us verify the complete arrangement:
- 1985: L
- 1992: H
- 1994: G
- 1998: F
- 1999: D
- 2001: K
- 2004: S

All conditions are satisfied:
1. Age gap between G (1994) and K (2001) = 7 years.
2. F (1998) is 3 years older than K (2001) (ages 24 and 21).
3. Count between F and G = 0, count between S and D = 0.
4. Number of individuals after S (2004) = 0, equal to number before L (1985) = 0.
5. H is not the eldest (H is born in 1992).

Therefore, the individual born in the year 1994 is G.

The correct option is G.

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