Understanding Relative Ages and Finding the Youngest

This question asks us to determine the youngest person based on a series of statements comparing the ages of five individuals: Alka, Mala, Gopal, Kapil, and Ram. We need to carefully analyze each statement and combine the information to establish the relative age order.

Step-by-Step Analysis of Age Relationships

Let's break down the given statements into simple relationships:

• Statement 1: Alka is older than Mala. This can be written as: $\text{Alka} > \text{Mala}$
• Statement 2: Gopal is older than Mala but younger than Alka. This gives us two parts: $\text{Gopal} > \text{Mala}$ and $\text{Gopal} < \text{Alka}$. Combining these, we get: $\text{Alka} > \text{Gopal} > \text{Mala}$
• Statement 3: Kapil is younger than Ram and Mala. This gives us two parts: $\text{Kapil} < \text{Ram}$ and $\text{Kapil} < \text{Mala}$.
• Statement 4: Mala is older than Ram. This can be written as: $\text{Mala} > \text{Ram}$

Combining the Age Relationships

Now, let's put these relationships together to form a clearer picture of the age order:

1. From Statement 2, we have the order: Alka is older than Gopal, and Gopal is older than Mala ($\text{Alka} > \text{Gopal} > \text{Mala}$).
2. From Statement 4, we know Mala is older than Ram ($\text{Mala} > \text{Ram}$).
3. Combining the relationships from step 1 and step 2, we get: $\text{Alka} > \text{Gopal} > \text{Mala} > \text{Ram}$. This sequence shows the relative ages of Alka, Gopal, Mala, and Ram, from oldest to youngest among these four.
4. Now consider Statement 3: Kapil is younger than Ram ($\text{Kapil} < \text{Ram}$) and Kapil is younger than Mala ($\text{Kapil} < \text{Mala}$).
5. Since we already established that Mala is older than Ram ($\text{Mala} > \text{Ram}$), the condition that Kapil is younger than Ram ($\text{Kapil} < \text{Ram}$) automatically means Kapil is also younger than Mala. The statement "Kapil is younger than Ram and Mala" reinforces that Kapil is younger than both.
6. Since Kapil is younger than Ram ($\text{Kapil} < \text{Ram}$), and Ram is the youngest among Alka, Gopal, Mala, and Ram (as per $\text{Alka} > \text{Gopal} > \text{Mala} > \text{Ram}$), Kapil must be the youngest of all five individuals.

Identifying the Youngest Person

Based on the combined relationships:

$\text{Alka} > \text{Gopal} > \text{Mala} > \text{Ram}$

and

$\text{Kapil} < \text{Ram}$

The overall order from oldest to youngest is:

$\text{Alka} > \text{Gopal} > \text{Mala} > \text{Ram} > \text{Kapil}$

Therefore, Kapil is the youngest.

Conclusion on Who is the Youngest

By analyzing and combining all the given clues about the relative ages, we determined the complete age ranking. This ranking clearly shows Kapil as the youngest person among the five.

Revision Table: Relative Ages

Additional Information: Logical Reasoning in Puzzles

This type of question is common in logical reasoning tests. It requires you to deduce relationships based on given facts. Here are some tips for solving such problems:

• Read each statement carefully.
• Represent relationships using symbols like > (greater than) or < (less than), or draw a simple diagram/line.
• Combine overlapping information. For example, if A > B and B > C, then A > C.
• Look for the extremes (oldest or youngest) by placing individuals relative to each other.
• Systematic analysis helps avoid confusion and errors.

Practice with different types of relationship puzzles (age, height, rank, etc.) will improve your logical deduction skills.