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's first calculate the age of each individual using 2022 as the base year.

1. Born in 1985: 2022 - 1985 = 37 years old
2. Born in 1992: 2022 - 1992 = 30 years old
3. Born in 1994: 2022 - 1994 = 28 years old
4. Born in 1998: 2022 - 1998 = 24 years old
5. Born in 1999: 2022 - 1999 = 23 years old
6. Born in 2001: 2022 - 2001 = 21 years old
7. Born in 2004: 2022 - 2004 = 18 years old

Let's list the birth years and corresponding ages from oldest to youngest:

• 1985 (37 years)
• 1992 (30 years)
• 1994 (28 years)
• 1998 (24 years)
• 1999 (23 years)
• 2001 (21 years)
• 2004 (18 years)

Now, let's analyze the given conditions step-by-step:

Step 1: Determine the positions of G, K, and F.

• Condition: "The age gap between G and K is 7 years."
Looking at the ages (37, 30, 28, 24, 23, 21, 18), the pairs with a difference of 7 years are:
- 37 and 30 (1985 and 1992)
- 30 and 23 (1992 and 1999)
- 28 and 21 (1994 and 2001)

• Condition: "F is 3 years older than K."
This means F's age = K's age + 3, so F must be born 3 years before K. Looking at the birth years, a difference of 3 years exists between:
- 1999 and 2004 (23 and 18)
- 1999 and 2001? No, 1998 and 2001 (24 and 21)
- 1992 and 1995? No.
Let's check the age pairs for K and F:

- Case 1: If K is born in 2001 (21 years old), F is 3 years older, so F is 24 years old (born in 1998).
If K is 2001 (21 years old), then G must have a 7-year age gap with K. The age 7 years apart from 21 is 28 (1994). So G is born in 1994.
- Case 2: If K is born in 1992 (30 years old), F would be 33, but 33 is not in our list.
- Case 3: If K is born in 1985 (37 years old), F would be 40, which is not in our list.

Therefore, the unique assignment for G, K, and F is:

• G = 1994 (28 years old)
• K = 2001 (21 years old)
• F = 1998 (24 years old)

Step 2: Place S, D, and L.

• Condition: "The count of individuals born between F and G equals the count of individuals born between S and D."
The years between G (1994) and F (1998) are 1992 is before 1994, so between 1994 and 1998, there is only 1 year listed: 1995? No, the list of years is: 1985, 1992, 1994, 1998, 1999, 2001, 2004.
Between 1994 (G) and 1998 (F), there are 0 individuals in the list.
Therefore, there must be 0 individuals born between S and D, which means S and D are born in consecutive birth years from the available list.

• Condition: "The number of individuals born after S is equal to the number of individuals born before L."
The remaining available birth years are: 1985, 1992, 1999, 2004.
Let's test S and L positions for symmetry:

- If S is born in 2004 (last position, 0 after S), then L must be born in 1985 (first position, 0 before L).
Then the remaining year for D would be 1999 or 1992.
Since D and S must be consecutive, if S is 2004, D could be 2001, but K is already 2001. No, between S and D there are 0 individuals. The available consecutive year to 2004 is 2001 (K), but K is taken. Wait, let's look at the remaining open years for S and D:
Available years: 1985, 1992, 1999, 2004.
Adjacent available positions in the full list (1985, 1992, 1994-G, 1998-F, 1999, 2001-K, 2004):
- 1998 (F) and 1999 are consecutive, so if D = 1999, the individuals between F and G (0) equals between S and D (0, if S is placed appropriately, e.g. 1999 and another year, but F is 1998, so between 1998 and 1999 there are 0 individuals).
- If S = 1999 and D = 1992, between 1992 and 1999 there are G (1994) and F (1998), which is 2 individuals.
- If S = 1999, 2 people are born after S (2001-K, 2004). Then 2 people must be born before L, so L is born in 1994? But G is 1994.
Wait! Let's check S = 1992 (4 people after S: 1994, 1998, 1999, 2001, 2004 → 5 people after S).
Let's re-verify the symmetry of S and L:
Positions: 1 (1985), 2 (1992), 3 (1994), 4 (1998), 5 (1999), 6 (2001), 7 (2004).
If S is in position 6 (2001 - taken by K).
If S is in position 5 (1999), 2 people born after S (positions 6 and 7). So L must be in position 3 (1994), but G is in position 3.
If S is in position 7 (2004), 0 people born after S. Then L is in position 1 (1985), 0 people born before L.
Then the remaining years are 1992 and 1999.
Let's check D = 1999: position between S (2004) and D (1999) has 1 person (2001-K). But between F (1998) and G (1994) there is 0 people. Wait! 1985, 1992, 1994, 1998, 1999, 2001, 2004.
Between 1994 (G) and 1998 (F), there are NO individuals in the list! So count = 0.
Wait, between 1999 and 2004, the list has 2001 (K), so count = 1. But what if D = 1999 and S = 1992? Between 1992 and 1999, the list has 1994 (G) and 1998 (F), so count = 2.
Wait! What if S = 1985 (6 after S)? Then L = 2004 (6 before L). Then remaining are 1992 and 1999 for D and H.
Then H is not the eldest (1985), which holds since S is 1985.
Let's check D = 1992: between S (1985) and D (1992), count = 0! This matches the count between F (1998) and G (1994) which is 0!

Let's verify this complete arrangement:
1. 1985: S
2. 1992: D
3. 1994: G
4. 1998: F
5. 1999: H
6. 2001: K
7. 2004: L

Verification of all conditions:

• Age gap between G (1994) and K (2001) is 7 years (28 - 21 = 7). (Correct)
• F (1998, age 24) is 3 years older than K (2001, age 21). (Correct)
• Count between F (1998) and G (1994) = 0. Count between S (1985) and D (1992) = 0. (Correct)
• Number of individuals born after S (1985) = 6. Number of individuals born before L (2004) = 6. (Correct)
• H is born in 1999, so H is not the eldest (1985 is S). (Correct)

Thus, G was born in the year 1994.

The correct option is G.

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