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.
What is the total number of individuals who are older than H?
Correct Answer :
None of these
Solution :
Correct Answer: None of these
To determine the total number of individuals who are older than H, let us systematically deduce the birth year and age of each individual based on the given clues.
Step 1: Calculate the ages of all individuals in the base year 2022.
The given birth years arranged in ascending order (from oldest to youngest) along with their ages in 2022 are:
1. 1985 → Age = 2022 - 1985 = 37 years
2. 1992 → Age = 2022 - 1992 = 30 years
3. 1994 → Age = 2022 - 1994 = 28 years
4. 1998 → Age = 2022 - 1998 = 24 years
5. 1999 → Age = 2022 - 1999 = 23 years
6. 2001 → Age = 2022 - 2001 = 21 years
7. 2004 → Age = 2022 - 2004 = 18 years
Step 2: Determine the positions of F, K, and G.
1. "F is 3 years older than K."
This means the birth year of K minus the birth year of F must be 3 years (i.e., K was born 3 years after F).
Looking at the available birth years, pairs with a difference of 3 years are:
- (1998, 2001) → F = 1998, K = 2001
- (2001, 2004) → F = 2001, K = 2004
2. "The age gap between G and K is 7 years."
- Case A: If K = 2004, then G could be born in 1997 (not in the list) or 2011 (not in the list). Thus, K cannot be 2004.
- Case B: If K = 2001, then G could be born in 2001 - 7 = 1994 (valid) or 2001 + 7 = 2008 (not in the list).
Hence, K was born in 2001, F was born in 1998, and G was born in 1994.
Step 3: Count individuals born between F and G.
The birth years of G and F are 1994 and 1998 respectively.
The birth years between 1994 and 1998 present in the list is only 1992? No, 1994 to 1998 has 1995/1996/1997? In the given list, between 1994 and 1998 is only None? Wait, in the list of birth years [1985, 1992, 1994, 1998, 1999, 2001, 2004], the index of 1994 is 3rd and 1998 is 4th. Therefore, there are 0 individuals born between G and F.
Step 4: Determine the positions of S and D.
"The count of individuals born between F and G equals the count of individuals born between S and D."
Since there are 0 individuals born between F and G, S and D must be born in consecutive years in our list.
The available unassigned years are 1985, 1992, 1999, and 2004.
None of these available years are consecutive in the list! Wait, let's re-verify the remaining years:
Assigned: 1994 (G), 1998 (F), 2001 (K).
Remaining years: 1985, 1992, 1999, 2004.
Since no two remaining years are adjacent in the list, let me re-evaluate S and L condition.
"The number of individuals born after S is equal to the number of individuals born before L."
This implies that S and L are symmetrically placed from the ends of the age list.
- If S is 1st (1985, 0 born before), then L is 7th (2004, 0 born after).
- If S is 2nd (1992, 1 born before), then L is 6th (2001 - already taken by K!).
- If S is 5th (1999, 2 born after), then L is 3rd (1994 - already taken by G!).
- If S is 7th (2004, 0 born after), then L is 1st (1985, 0 born before).
Thus, {S, L} must occupy the 1st (1985) and 7th (2004) positions.
- If S = 1985, L = 2004.
- If S = 2004, L = 1985.
Now, the remaining unassigned years are 1992 and 1999.
These positions belong to D and H.
"H is not the eldest among them" is satisfied as H is either 1992 or 1999.
Let's check the number of individuals between S and D:
- If S = 1985 and D = 1992 (1st and 2nd positions), there are 0 individuals between S and D, which perfectly matches the 0 individuals between G (1994) and F (1998)!
- Therefore, S = 1985, D = 1992, L = 2004.
- The only remaining year 1999 goes to H!
Step 5: Final Placement of Individuals by Birth Year (from Oldest to Youngest):
1. 1985 (Age 37): S
2. 1992 (Age 30): D
3. 1994 (Age 28): G
4. 1998 (Age 24): F
5. 1999 (Age 23): H
6. 2001 (Age 21): K
7. 2004 (Age 18): L
Step 6: Answer the question.
We need to find the total number of individuals who are older than H.
H was born in 1999 (5th position in age).
The individuals older than H are S (1985), D (1992), G (1994), and F (1998).
Total number of individuals older than H = 4.
Since 4 is not present among the numeric options given (5, 3, 1, 2), the correct choice is None of these.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.