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 Option (4)

Data is inadequate

The given information can be translated into the following inequalities:

• Randhir > Kunal + Debu (R > K + D)
• Kunal + Shankar > Randhir (K + S > R)
• Sonal > Shankar (So > Sh)
• Neha > Randhir (N > R)

From the first two statements (R > K + D and K + S > R), it can be inferred that Shankar > Debu (Sh > D).

We have established that Neha has more marks than Randhir (N > R) and Sonal has more marks than Shankar (So > Sh).

However, there is no direct or indirect relationship provided to compare Neha's marks with Sonal's marks. For instance, while N > R, we cannot ascertain if N > So or So > N. Similarly, while So > Sh, we cannot ascertain if So > N or N > So.

Without a definitive comparison between Neha and Sonal, the individual with the highest marks cannot be determined conclusively. Therefore, the data provided is inadequate.

Incorrect Options

Randhir (1): This option is incorrect because the statement "Neha obtained more marks than Randhir" (N > R) explicitly indicates that Randhir is not the highest scorer.

Neha (2): While Neha has more marks than Randhir (N > R), there is insufficient information to compare Neha's marks with Sonal's marks. Sonal is stated to have more marks than Shankar (So > Sh), but the relationship between Neha and Sonal remains undefined, preventing a conclusive determination of Neha as the highest scorer.

Sonal (3): This option is incorrect because, similar to Neha, there is no information to compare Sonal's marks with Neha's marks. Sonal has more marks than Shankar (So > Sh), but the absence of a clear comparison between Sonal and Neha means Sonal cannot be definitively declared the highest scorer.