In a test, Randhir obtained more marks than the total marks obtained by Kunal and Debu. The total marks obtained by Kunal and Shankar are more than those of Randhir. Sonal obtained more marks than Shankar. Neha obtained more marks than Randhir. Who amongst them obtained highest marks ?

Correct Answer: Option Data are inadequate

To determine who obtained the highest marks, let us represent the marks obtained by each person using variables corresponding to their names:

Let:

R = Randhir's marks

K = Kunal's marks

D = Debu's marks

S = Shankar's marks

So = Sonal's marks

N = Neha's marks

Based on the statements given in the question, we can write down the following inequalities:

1. Randhir obtained more marks than the total marks of Kunal and Debu:

$R>K+D$

(Since marks are positive values, this also implies $R>K$ and $R>D$).

2. The total marks of Kunal and Shankar are more than Randhir's marks:

$K+S>R$

3. Sonal obtained more marks than Shankar:

$\mathrm{So}>S$

4. Neha obtained more marks than Randhir:

$N>R$

Step-by-step analysis to find the highest scorer:

From statement (4), we know Neha scored more than Randhir ($N>R$).

From statement (1), Randhir scored more than Kunal and Debu ($R>K$ and $R>D$). Therefore, Neha also scored more than Kunal and Debu ($N>R>K,D$).

Now, let us compare Neha ($N$) and Sonal ($\mathrm{So}$):

We know $\mathrm{So}>S$. From statement (2), $K+S>R$, which means $S>R-K$.

Since $\mathrm{So}>S$, Sonal's score is greater than $R-K$. However, there is no direct or indirect relation provided to compare Sonal's marks ($\mathrm{So}$) with Neha's marks ($N$) or Randhir's marks ($R$).

Either Neha or Sonal could have the highest marks depending on their actual numerical values, which are not provided.

Hence, the given data are inadequate to determine who obtained the highest marks.