Q.9
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)?
Hari Gita Irfan Saira Birth Order Siblings Age Puzzle Solution
IHSG is the correct birth order (oldest first): Irfan (I) > Hari (H) > Saira (S) > Gita (G).
Logical Constraints Analysis
All siblings born January 1st, successive age gaps <3 years (1-2 years), no twins, Gita-Saira differ by 1 year, Gita not oldest, Saira not youngest, and H < G > I + S.
- Successive gaps: Ages like 10, 11, 12, 13 (gaps 1-2 years) possible.
- G-S = 1 year: They must be positioned correctly with even gaps.
- H < G: Hari younger than Gita numerically.
- G > I + S: Gita older than sum of Irfan + Saira ages.
Option Breakdown
| Option | Order (Old→Young) | Fails Because |
|---|---|---|
| HSIG | H>G>I>S | Gita 2nd oldest ok, but G-S not positioned for 1-year gap with <3yr successive gaps |
| SGHI | S>G>H>I | Saira oldest violates “Saira not youngest” positioning constraints |
| IGSH | I>G>S>H | Fails G > I+S condition (Gita can’t exceed oldest Irfan + Saira sum) |
| IHSG | I>H>S>G | Works perfectly: All conditions satisfied |
Hari Gita Irfan Saira Siblings Age Puzzle – Complete Solution
Hari (H), Gita (G), Irfan (I), Saira (S) siblings age puzzle—find birth order (oldest first) with <3 year successive gaps, no twins, Gita-Saira 1 year apart, Gita not oldest, Saira not youngest, H < G > I + S.
Why IHSG Wins
Only order allows G > I+S numerically while satisfying H < G, 1-year G-S gap, and positional constraints. Perfect for GATE logical reasoning preparation.
Elimination Method
- HSIG: Fails G-S adjacency requirement
- SGHI: Saira can’t be oldest
- IGSH: Fails mathematical inequality
- IHSG: Perfect logical fit
