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Question 1 of 5
1. Question
With reference to the above passage, the following assumptions have been made:
I. The recognition of natural rights may depend on how societies incorporate them into institutions.
II. Natural rights exist independently of legal systems, even if their application varies.Which of the above assumptions is/are valid?
Correct
Answer: (c)
Explanation:
The passage states that natural rights are often considered as inherent to individuals, meaning they exist by virtue of human existence and are not granted by institutions. At the same time, it also mentions that their interpretation and application depend on how societies recognise and incorporate them into legal and institutional frameworks.
Statement I:
The passage clearly indicates that the recognition, interpretation and application of natural rights depend on how societies incorporate them into institutions. Therefore, this statement is valid.Statement II:
The passage explicitly states that natural rights are inherent and exist independent of social or political arrangements. Hence, this statement is also valid.Incorrect
Answer: (c)
Explanation:
The passage states that natural rights are often considered as inherent to individuals, meaning they exist by virtue of human existence and are not granted by institutions. At the same time, it also mentions that their interpretation and application depend on how societies recognise and incorporate them into legal and institutional frameworks.
Statement I:
The passage clearly indicates that the recognition, interpretation and application of natural rights depend on how societies incorporate them into institutions. Therefore, this statement is valid.Statement II:
The passage explicitly states that natural rights are inherent and exist independent of social or political arrangements. Hence, this statement is also valid. -
Question 2 of 5
2. Question
To read Plato is to encounter not merely a system of thought, but a way of approaching the human condition. His reflections do not present themselves as rigid doctrines; they move instead through dialogue, inviting the mind to examine itself. Ideas of justice, truth and the good are not offered as finished answers but as directions in which inquiry might proceed.
In such a scheme, knowledge is less an accumulation of facts than a process of recollection and questioning. The visible world, with all its immediacy, appears as only one layer of experience, while thought seeks patterns that give it coherence. The philosopher, in this sense, does not withdraw from life but attempts to interpret it through forms that are not immediately apparent.
Which one of the following statements best reflects the central idea of the passage?
Correct
Answer: (b)
Explanation:
Option (a) is incorrect: The passage stresses dialogue and inquiry rather than fixed doctrines.
Option (c) is incorrect: It contrasts the visible world with deeper patterns sought through thought.
Option (d) is incorrect: The passage indicates engagement with life through interpretation, not withdrawal.
Option (b) is correct: It captures the emphasis on questioning and interpretative inquiry.
Incorrect
Answer: (b)
Explanation:
Option (a) is incorrect: The passage stresses dialogue and inquiry rather than fixed doctrines.
Option (c) is incorrect: It contrasts the visible world with deeper patterns sought through thought.
Option (d) is incorrect: The passage indicates engagement with life through interpretation, not withdrawal.
Option (b) is correct: It captures the emphasis on questioning and interpretative inquiry.
-
Question 3 of 5
3. Question
With reference to the above passage, the following assumptions have been made:
I. Philosophical understanding may involve processes beyond direct sensory experience.
II. The search for knowledge can involve continuous questioning rather than definite conclusions.Which of the above assumptions is/are valid?
Correct
Answer: (c)
Explanation:
The passage describes Plato’s philosophy as a process of inquiry rather than a set of fixed conclusions. It emphasizes that knowledge is not merely based on what is visible but involves deeper reflection and questioning.
Statement I:
The passage mentions that the visible world is only one layer of experience and that thought seeks deeper patterns beyond immediate perception. This implies that philosophical understanding goes beyond direct sensory experience.
Therefore, Statement I is valid.Statement II:
The passage clearly states that ideas are not presented as final answers but as directions for inquiry. It also describes knowledge as a process of questioning. This indicates that the search for knowledge involves continuous questioning rather than fixed conclusions.
Therefore, Statement II is valid.Incorrect
Answer: (c)
Explanation:
The passage describes Plato’s philosophy as a process of inquiry rather than a set of fixed conclusions. It emphasizes that knowledge is not merely based on what is visible but involves deeper reflection and questioning.
Statement I:
The passage mentions that the visible world is only one layer of experience and that thought seeks deeper patterns beyond immediate perception. This implies that philosophical understanding goes beyond direct sensory experience.
Therefore, Statement I is valid.Statement II:
The passage clearly states that ideas are not presented as final answers but as directions for inquiry. It also describes knowledge as a process of questioning. This indicates that the search for knowledge involves continuous questioning rather than fixed conclusions.
Therefore, Statement II is valid. -
Question 4 of 5
4. Question
Three teams X, Y, Z participated in a tournament in which the teams play with one another exactly once. A win fetches a team 2 points and a draw 1 point. A team gets no point for a loss. Each team scored exactly one goal in the tournament. The team X got 2 points, Y got 2 points and Z got 2 points.
Which of the following statements is/are correct?
I. All the three matches were draws.
II. Each match ended with the score 1 – 1.Correct
Answer: (a)
Explanation
Each team has 2 points. Since each draw gives 1 point, the only way all three teams get exactly 2 points is that each team draws both its matches.So statement I is correct.
Now consider statement II. If each match ended 1 – 1, then in two matches each team would score 2 goals in total. But it is given that each team scored exactly one goal in the tournament.
Hence statement II is incorrect.
Therefore, only statement I is correct.
So, option (a) is correct.Incorrect
Answer: (a)
Explanation
Each team has 2 points. Since each draw gives 1 point, the only way all three teams get exactly 2 points is that each team draws both its matches.So statement I is correct.
Now consider statement II. If each match ended 1 – 1, then in two matches each team would score 2 goals in total. But it is given that each team scored exactly one goal in the tournament.
Hence statement II is incorrect.
Therefore, only statement I is correct.
So, option (a) is correct. -
Question 5 of 5
5. Question
If n is a natural number, then what is the number of distinct remainders of (2ⁿ + 3ⁿ) when divided by 4?
Correct
Answer: (b)
Explanation
2ⁿ when divided by 4 gives remainder 2 only when n = 1.
For all n greater than 1, 2ⁿ is divisible by 4, so the remainder is 0.3ⁿ when divided by 4 gives alternating remainders 3 and 1.
So:
When n = 1:
2¹ + 3¹ = 2 + 3 = 5, remainder 1For n > 1:
2ⁿ contributes remainder 0, and 3ⁿ contributes remainder 1 or 3.Hence possible remainders are 1 and 3 only.
So, two distinct remainders are possible.
Incorrect
Answer: (b)
Explanation
2ⁿ when divided by 4 gives remainder 2 only when n = 1.
For all n greater than 1, 2ⁿ is divisible by 4, so the remainder is 0.3ⁿ when divided by 4 gives alternating remainders 3 and 1.
So:
When n = 1:
2¹ + 3¹ = 2 + 3 = 5, remainder 1For n > 1:
2ⁿ contributes remainder 0, and 3ⁿ contributes remainder 1 or 3.Hence possible remainders are 1 and 3 only.
So, two distinct remainders are possible.
