Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Read both the statements and Give answer:
(a) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
(b) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
(c) If the data either in statement I alone or in statement II alone are sufficient to answer the question.
(d) If the data even in both statements I and II together are not sufficient to answer the question.
(e) If the data in both statements I and II together are necessary to answer the question.

Who among the following Ashu, Ravi, Neha, Nitin and Riya got the highest marks in the examination (out of 100)?
I. The one who got 75 marks is the person who got second highest marks in the examination. Ashu scored more marks than Neha and Riya. Ashu does not got the highest marks.
II. Riya get more marks than only one person. Neha got more marks than Riya but not the second highest marks.

Question

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Read both the statements and Give answer:
(a) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
(b) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
(c) If the data either in statement I alone or in statement II alone are sufficient to answer the question.
(d) If the data even in both statements I and II together are not sufficient to answer the question.
(e) If the data in both statements I and II together are necessary to answer the question.

Who among the following Ashu, Ravi, Neha, Nitin and Riya got the highest marks in the examination (out of 100)?
I. The one who got 75 marks is the person who got second highest marks in the examination. Ashu scored more marks than Neha and Riya. Ashu does not got the highest marks.
II. Riya get more marks than only one person. Neha got more marks than Riya but not the second highest marks.

Accepted Answer

**Solution:**

1. From Statement I:
   - The person who scored 75 marks is the second highest.
   - Ashu scored more than Neha and Riya.
   - Ashu did not get the highest marks.

This tells us Ashu is not the highest scorer but scored more than Neha and Riya. The second highest score is 75. However, we do not know who scored the highest or the exact marks of others except the second highest.

2. From Statement II:
   - Riya scored more than only one person, so Riya is second lowest.
   - Neha scored more than Riya but did not get the second highest marks.

This means Neha is above Riya but not second highest. But this alone does not identify the highest scorer.

3. Combining both statements:
   - From I, second highest is 75 marks.
   - From II, Riya is second lowest, so only one person scored less than Riya.
   - Ashu scored more than Neha and Riya but is not highest.
   - Neha is above Riya but not second highest.

Let's arrange based on this:
   - Riya is fourth (second lowest), only one below her.
   - Neha is third (above Riya but not second highest).
   - Second highest is 75 marks (from I).
   - Ashu scored more than Neha and Riya but is not highest, so Ashu must be second highest with 75 marks.
   - That leaves Ravi or Nitin as highest scorer.

Since we cannot determine who between Ravi and Nitin scored highest, even with both statements combined, the data is insufficient.

**Answer:** (e) Both statements together are necessary to answer the question.

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