UPSC Insta–DART (Daily Aptitude and Reasoning Test) 12 Feb 2026
Kartavya Desk Staff
Considering the alarming importance of CSAT in UPSC CSE Prelims exam and with enormous requests we received recently, InsightsIAS has started Daily CSAT Test to ensure students practice CSAT Questions on a daily basis. Regular Practice would help one overcome the fear of CSAT too.We are naming this initiative as Insta– DART – Daily Aptitude and Reasoning Test. We hope you will be able to use DART to hit bull’s eye in CSAT paper and comfortably score 100+ even in the most difficult question paper that UPSC can give you in CSP-2021. Your peace of mind after every step of this exam is very important for us.
Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).
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• Question 1 of 5 1. Question If N² = 12345654321, then how many digits does the number N have? (a) 5 (b) 6 (c) 7 (d) 8 Correct Answer: (b) Explanation: Using the same pattern: 111111² = 12345654321 The highest digit in the middle is 6, and the pattern is symmetric. This corresponds to N being a number consisting of six 1’s: N = 111111 So N has 6 digits. Hence, option (b) is correct. Incorrect Answer: (b) Explanation: Using the same pattern: 111111² = 12345654321 The highest digit in the middle is 6, and the pattern is symmetric. This corresponds to N being a number consisting of six 1’s: N = 111111 So N has 6 digits. Hence, option (b) is correct.
#### 1. Question
If N² = 12345654321, then how many digits does the number N have?
Answer: (b)
Explanation: Using the same pattern: 111111² = 12345654321
The highest digit in the middle is 6, and the pattern is symmetric. This corresponds to N being a number consisting of six 1’s: N = 111111
So N has 6 digits.
Hence, option (b) is correct.
Answer: (b)
Explanation: Using the same pattern: 111111² = 12345654321
The highest digit in the middle is 6, and the pattern is symmetric. This corresponds to N being a number consisting of six 1’s: N = 111111
So N has 6 digits.
Hence, option (b) is correct.
• Question 2 of 5 2. Question Consider the following question and statements: Question: What is the difference between P and Q, where P and Q are prime numbers? Statement I: P × Q < 60. Statement II: P + Q = 20. Which one of the following is correct in respect of the above Question and the statements? (a) The Question can be answered by using one of the statements alone, but cannot be answered using the other statement alone. (b) The Question can be answered by using either statement alone. (c) The Question can be answered by using both the statements together, but cannot be answered by using either statement alone. (d) The Question cannot be answered even by using both the statements together. Correct Answer: (c) Explanation: Using Statement I alone: P × Q < 60 allows many prime pairs, for example (2, 29), (3, 17), (5, 11), (7, 7), etc. Difference is not unique. Statement I alone is not sufficient. Using Statement II alone: P + Q = 20. Possible prime pairs are: 3 + 17 and 7 + 13. Differences are 14 and 6. Not unique. Statement II alone is not sufficient. Using both statements together: Check the pairs from Statement II: For (3, 17): product = 51, which is < 60, valid. For (7, 13): product = 91, which is not < 60, invalid. So only (3, 17) is possible. Difference = 17 − 3 = 14. Hence, both statements together are sufficient, but neither alone is sufficient. Incorrect Answer: (c) Explanation: Using Statement I alone: P × Q < 60 allows many prime pairs, for example (2, 29), (3, 17), (5, 11), (7, 7), etc. Difference is not unique. Statement I alone is not sufficient. Using Statement II alone: P + Q = 20. Possible prime pairs are: 3 + 17 and 7 + 13. Differences are 14 and 6. Not unique. Statement II alone is not sufficient. Using both statements together: Check the pairs from Statement II: For (3, 17): product = 51, which is < 60, valid. For (7, 13): product = 91, which is not < 60, invalid. So only (3, 17) is possible. Difference = 17 − 3 = 14. Hence, both statements together are sufficient, but neither alone is sufficient.
#### 2. Question
Consider the following question and statements:
Question: What is the difference between P and Q, where P and Q are prime numbers?
Statement I: P × Q < 60. Statement II: P + Q = 20.
Which one of the following is correct in respect of the above Question and the statements?
• (a) The Question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
• (b) The Question can be answered by using either statement alone.
• (c) The Question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• (d) The Question cannot be answered even by using both the statements together.
Answer: (c)
Explanation: Using Statement I alone: P × Q < 60 allows many prime pairs, for example (2, 29), (3, 17), (5, 11), (7, 7), etc. Difference is not unique. Statement I alone is not sufficient.
Using Statement II alone: P + Q = 20. Possible prime pairs are: 3 + 17 and 7 + 13. Differences are 14 and 6. Not unique. Statement II alone is not sufficient.
Using both statements together: Check the pairs from Statement II:
For (3, 17): product = 51, which is < 60, valid. For (7, 13): product = 91, which is not < 60, invalid.
So only (3, 17) is possible. Difference = 17 − 3 = 14.
Hence, both statements together are sufficient, but neither alone is sufficient.
Answer: (c)
Explanation: Using Statement I alone: P × Q < 60 allows many prime pairs, for example (2, 29), (3, 17), (5, 11), (7, 7), etc. Difference is not unique. Statement I alone is not sufficient.
Using Statement II alone: P + Q = 20. Possible prime pairs are: 3 + 17 and 7 + 13. Differences are 14 and 6. Not unique. Statement II alone is not sufficient.
Using both statements together: Check the pairs from Statement II:
For (3, 17): product = 51, which is < 60, valid. For (7, 13): product = 91, which is not < 60, invalid.
So only (3, 17) is possible. Difference = 17 − 3 = 14.
Hence, both statements together are sufficient, but neither alone is sufficient.
• Question 3 of 5 3. Question A boy is standing on the 3rd step from the bottom of a ladder. If he needs to climb 5 more steps to reach the middle step, then how many steps are there in the ladder? (a) 13 (b) 15 (c) 17 (d) 19 Correct Answer: (b) Solution: Given that, Boy is on 3rd step from bottom. He climbs 5 more steps to reach the middle step. So middle step number = th step. Steps below middle = Steps above middle = Total steps = Hence, option (b) is correct. Incorrect Answer: (b) Solution: Given that, Boy is on 3rd step from bottom. He climbs 5 more steps to reach the middle step. So middle step number = th step. Steps below middle = Steps above middle = Total steps = Hence, option (b) is correct.
#### 3. Question
A boy is standing on the 3rd step from the bottom of a ladder. If he needs to climb 5 more steps to reach the middle step, then how many steps are there in the ladder?
Answer: (b)
Solution:
Given that, Boy is on 3rd step from bottom. He climbs 5 more steps to reach the middle step.
So middle step number = th step.
Steps below middle = Steps above middle =
Total steps =
Hence, option (b) is correct.
Answer: (b)
Solution:
Given that, Boy is on 3rd step from bottom. He climbs 5 more steps to reach the middle step.
So middle step number = th step.
Steps below middle = Steps above middle =
Total steps =
Hence, option (b) is correct.
• Question 4 of 5 4. Question In recent times, public discourse has increasingly been shaped by opinions rather than evidence. While opinions are essential in a democratic society, the growing tendency to treat personal beliefs as equivalent to empirically verified facts has blurred the distinction between informed judgment and mere assertion. Scientific temper does not demand unquestioning acceptance of authority; instead, it encourages skepticism, verification, and the willingness to revise conclusions when confronted with new evidence. Which one of the following statements best reflects the central idea conveyed by the passage? (a) Democratic societies should prioritise freedom of opinion over scientific reasoning. (b) Scientific temper discourages questioning of established knowledge. (c) Treating opinions and evidence as equivalent can undermine rational decision-making. (d) Scientific thinking is relevant only for scientists and academic institutions. Correct Answer: (c) Explanation: Option (a) is incorrect: The passage does not argue for prioritising opinions over evidence. On the contrary, it cautions against excessive reliance on opinion at the cost of empirical reasoning. Option (b) is incorrect: This directly contradicts the passage, which states that scientific temper encourages skepticism and questioning, not blind acceptance. Option (c) is correct: The passage explicitly warns that equating personal beliefs with verified facts can lead to decisions driven by emotion or ideology rather than reason, thereby undermining rational decision-making. Option (d) is incorrect: The passage applies scientific temper to societal decision-making, not just to scientists or academic settings. Incorrect Answer: (c) Explanation: Option (a) is incorrect: The passage does not argue for prioritising opinions over evidence. On the contrary, it cautions against excessive reliance on opinion at the cost of empirical reasoning. Option (b) is incorrect: This directly contradicts the passage, which states that scientific temper encourages skepticism and questioning, not blind acceptance. Option (c) is correct: The passage explicitly warns that equating personal beliefs with verified facts can lead to decisions driven by emotion or ideology rather than reason, thereby undermining rational decision-making. Option (d) is incorrect: The passage applies scientific temper to societal decision-making, not just to scientists or academic settings.
#### 4. Question
In recent times, public discourse has increasingly been shaped by opinions rather than evidence. While opinions are essential in a democratic society, the growing tendency to treat personal beliefs as equivalent to empirically verified facts has blurred the distinction between informed judgment and mere assertion. Scientific temper does not demand unquestioning acceptance of authority; instead, it encourages skepticism, verification, and the willingness to revise conclusions when confronted with new evidence.
Which one of the following statements best reflects the central idea conveyed by the passage?
• (a) Democratic societies should prioritise freedom of opinion over scientific reasoning.
• (b) Scientific temper discourages questioning of established knowledge.
• (c) Treating opinions and evidence as equivalent can undermine rational decision-making.
• (d) Scientific thinking is relevant only for scientists and academic institutions.
Answer: (c)
Explanation:
• Option (a) is incorrect: The passage does not argue for prioritising opinions over evidence. On the contrary, it cautions against excessive reliance on opinion at the cost of empirical reasoning.
• Option (b) is incorrect: This directly contradicts the passage, which states that scientific temper encourages skepticism and questioning, not blind acceptance.
• Option (c) is correct: The passage explicitly warns that equating personal beliefs with verified facts can lead to decisions driven by emotion or ideology rather than reason, thereby undermining rational decision-making.
• Option (d) is incorrect: The passage applies scientific temper to societal decision-making, not just to scientists or academic settings.
Answer: (c)
Explanation:
• Option (a) is incorrect: The passage does not argue for prioritising opinions over evidence. On the contrary, it cautions against excessive reliance on opinion at the cost of empirical reasoning.
• Option (b) is incorrect: This directly contradicts the passage, which states that scientific temper encourages skepticism and questioning, not blind acceptance.
• Option (c) is correct: The passage explicitly warns that equating personal beliefs with verified facts can lead to decisions driven by emotion or ideology rather than reason, thereby undermining rational decision-making.
• Option (d) is incorrect: The passage applies scientific temper to societal decision-making, not just to scientists or academic settings.
• Question 5 of 5 5. Question With reference to the above passage, the following assumptions have been made: Rational public decision-making depends on the ability to distinguish evidence from opinion. Emotional and ideological considerations have no role in a democratic society. Which of the above assumptions is/are valid? (a) I only (b) II only (c) Both I and II (d) Neither I nor II Correct Answer: (a) Explanation: Assumption I is correct: The entire passage is built on the assumption that informed societal decisions require evidence-based reasoning and the capacity to differentiate facts from opinions. Assumption II is incorrect: The passage does not deny the role of emotions or ideology in democracy. It only warns against allowing them to override evidence and reason completely. Incorrect Answer: (a) Explanation: Assumption I is correct: The entire passage is built on the assumption that informed societal decisions require evidence-based reasoning and the capacity to differentiate facts from opinions. Assumption II is incorrect: The passage does not deny the role of emotions or ideology in democracy. It only warns against allowing them to override evidence and reason completely.
#### 5. Question
With reference to the above passage, the following assumptions have been made:
• Rational public decision-making depends on the ability to distinguish evidence from opinion.
• Emotional and ideological considerations have no role in a democratic society.
Which of the above assumptions is/are valid?
• (a) I only
• (b) II only
• (c) Both I and II
• (d) Neither I nor II
Answer: (a)
Explanation:
• Assumption I is correct: The entire passage is built on the assumption that informed societal decisions require evidence-based reasoning and the capacity to differentiate facts from opinions.
• Assumption II is incorrect: The passage does not deny the role of emotions or ideology in democracy. It only warns against allowing them to override evidence and reason completely.
Answer: (a)
Explanation:
• Assumption I is correct: The entire passage is built on the assumption that informed societal decisions require evidence-based reasoning and the capacity to differentiate facts from opinions.
• Assumption II is incorrect: The passage does not deny the role of emotions or ideology in democracy. It only warns against allowing them to override evidence and reason completely.
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