Q.65 Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters).
All were born on 1st January.
The age difference between any two successive siblings (that is born one after another)
is less than 3 years.
Given the following facts:
- Hari’s age + Gita’s age > Irfan’s age + Saira’s age.
- The age difference between Gita and Saira is 1 year.
However, Gita is not the oldest and Saira is not the youngest. - There are no twins.
In what order were they born (oldest first)?
Options:
(A) HSIG
(B) SGHI
(C) IGSH
(D) IHSG
Introduction
Age-based ordering problems are very common in logical reasoning sections of competitive exams such as SSC, Banking, Railways, and State PSCs. These questions test your ability to combine multiple conditions logically without making assumptions.
In this problem, four siblings — Hari (H), Gita (G), Irfan (I), and Saira (S) — were born on the same date (1st January), and we are asked to determine their birth order (oldest to youngest) using given constraints.
Question Overview
Hari (H), Gita (G), Irfan (I), and Saira (S) are siblings.
Given conditions:
-
All were born on 1st January.
-
The age difference between any two successive siblings is less than 3 years.
-
Hari’s age + Gita’s age > Irfan’s age + Saira’s age
-
The age difference between Gita and Saira is 1 year
-
Gita is not the oldest
-
Saira is not the youngest
-
-
There are no twins
Question:
👉 In what order were they born (oldest first)?
Step-by-Step Logical Analysis
Step 1: Use the Gita–Saira Condition
-
Age difference between Gita and Saira = 1 year
-
So, they must be adjacent in age
-
Gita ❌ not oldest
-
Saira ❌ not youngest
👉 Possible middle positions only.
Step 2: Apply “No Twins” Rule
-
All ages must be distinct
-
Age gaps are at least 1 year but less than 3 years
Step 3: Use the Sum Condition
Hari + Gita>Irfan + Saira\text{Hari + Gita} > \text{Irfan + Saira}
This means:
-
Hari and Gita are collectively older
-
Irfan and Saira are collectively younger
So:
👉 Hari must be older than Irfan
👉 Gita must also be relatively older
Step 4: Try Possible Orders
Check Option (A): HSIG
H > S > I > G
❌ Gita becomes youngest → violates “Gita is not oldest” but Saira becomes second → age gap with G invalid
Check Option (B): SGHI
S > G > H > I
❌ Saira becomes oldest → violates condition
Check Option (C): IGSH
I > G > S > H
❌ Hari becomes youngest → violates sum condition
Check Option (D): IHSG
I > H > S > G
✔ Gita and Saira are adjacent
✔ Gita not oldest
✔ Saira not youngest
✔ No twins
✔ Age gaps < 3 years
✔ Hari + Gita > Irfan + Saira satisfied
Correct Answer
✅ Option (D) – IHSG
Explanation of All Options
Option (A) HSIG ❌
-
Violates adjacency and age sum condition
Option (B) SGHI ❌
-
Saira becomes oldest (not allowed)
Option (C) IGSH ❌
-
Hari becomes youngest
-
Fails age-sum condition
Option (D) IHSG ✅
-
Satisfies all given conditions
-
Correct logical order
Final Birth Order (Oldest → Youngest)
Irfan → Hari → Saira → Gita
Conclusion
By carefully applying age difference, adjacency, and sum constraints, we find that the only logically consistent birth order is IHSG. This question highlights the importance of checking every condition together, not in isolation.
