Question Details

In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer.
Q. Five students – Isha, Kavita, Meenal, Nisha, and Priti – scored different marks.
Who scored the second highest?
(I) Meenal scored more than Isha but less than Nisha.
(II) Priti scored more than Meenal but less than Nisha.

Options

A

Both statements I and II together are NOT sufficient to answer the question

B

Data in Statement II alone is sufficient to answer the question while data in Statement I is not

C

Data in Statement I alone is sufficient to answer the question while data in Statement II is not

D

Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question

Show Answer

Correct Answer :

Option A

Both statements I and II together are NOT sufficient to answer the question

Solution :

The correct option is Both statements I and II together are NOT sufficient to answer the question.


Step-by-step Explanation:


We are given five students: Isha, Kavita, Meenal, Nisha, and Priti, all of whom scored different marks. We need to determine who scored the second highest marks.


Analyzing Statement (I):
Statement (I) tells us: "Meenal scored more than Isha but less than Nisha."
In terms of ordering by marks:
Nisha > Meenal > Isha
This statement does not give any information about Kavita or Priti. Therefore, Statement (I) alone is NOT sufficient to determine who scored the second highest.


Analyzing Statement (II):
Statement (II) tells us: "Priti scored more than Meenal but less than Nisha."
In terms of ordering by marks:
Nisha > Priti > Meenal
This statement does not give any information about Isha or Kavita. Therefore, Statement (II) alone is NOT sufficient to determine who scored the second highest.


Combining Statements (I) and (II):
From Statement (I): Nisha > Meenal > Isha
From Statement (II): Nisha > Priti > Meenal
Combining these two inequalities, we get:
Nisha > Priti > Meenal > Isha
Or, in terms of relative position:
Nisha is highest among these four (Nisha > Priti and Nisha > Meenal).
However, we have no information about Kavita's position relative to any of the other four students. Kavita could have scored the highest, second highest, third highest, fourth highest, or lowest marks.


For example:
1. If Kavita scored highest: Kavita > Nisha > Priti > Meenal > Isha (Second highest is Nisha).
2. If Kavita scored lower than Nisha but higher than Priti: Nisha > Kavita > Priti > Meenal > Isha (Second highest is Kavita).
3. If Kavita scored lower than Priti: Nisha > Priti > ... (Second highest is Priti).


Since we cannot uniquely determine who scored the second highest, both statements together are NOT sufficient to answer the question.

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