UPSC Insta–DART (Daily Aptitude and Reasoning Test) 5 Dec 2025

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 With reference to the above passage, the following assumptions have been made: I. Biodiversity provides essential ecosystem services necessary for human survival. II. Ecosystems with reduced species diversity can still adapt effectively to major environmental changes. 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 passage explicitly notes that biodiversity safeguards “natural mechanisms that maintain soil fertility, pollination, and pest control,” all of which are vital services for human life and agriculture. Assumption II is incorrect: The author clearly states that when ecosystems lose diversity, they “lose resilience” and become “vulnerable to sudden collapse.” Hence, ecosystems with reduced diversity cannot adapt effectively to large-scale changes. Therefore, only Assumption I is valid, making option (a) correct. Incorrect Answer: (a) Explanation: Assumption I is correct: The passage explicitly notes that biodiversity safeguards “natural mechanisms that maintain soil fertility, pollination, and pest control,” all of which are vital services for human life and agriculture. Assumption II is incorrect: The author clearly states that when ecosystems lose diversity, they “lose resilience” and become “vulnerable to sudden collapse.” Hence, ecosystems with reduced diversity cannot adapt effectively to large-scale changes. Therefore, only Assumption I is valid, making option (a) correct.

#### 1. Question

With reference to the above passage, the following assumptions have been made:

I. Biodiversity provides essential ecosystem services necessary for human survival. II. Ecosystems with reduced species diversity can still adapt effectively to major environmental changes.

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 passage explicitly notes that biodiversity safeguards “natural mechanisms that maintain soil fertility, pollination, and pest control,” all of which are vital services for human life and agriculture. Assumption II is incorrect: The author clearly states that when ecosystems lose diversity, they “lose resilience” and become “vulnerable to sudden collapse.” Hence, ecosystems with reduced diversity cannot adapt effectively to large-scale changes. Therefore, only Assumption I is valid, making option (a) correct.

Answer: (a)

• Question 2 of 5 2. Question A leader guided solely by public approval will ultimately fail to lead. Popular opinion may serve as a compass of sentiment, but it is not always a measure of what is just or wise. History shows that true reformers often stood against the tide of their times, driven by moral conviction rather than applause. Yet, moral stubbornness detached from dialogue can harden into arrogance. The art of statesmanship lies in balancing conscience with consultation—listening to others without surrendering principle. A democracy flourishes not when leaders echo the loudest voices, but when they act with courage tempered by humility and guided by an inner sense of duty. Q. Which one of the following statements best reflects the critical message conveyed by the author of the passage? (a) A democratic leader must act strictly according to public opinion to ensure legitimacy. (b) A true leader harmonizes moral conviction with public consultation while upholding personal integrity. (c) Leadership based on moral conviction is inherently undemocratic. (d) Public opposition must always be ignored when pursuing just reforms. Correct Answer: (b) Explanation: Option (a) is incorrect: The passage explicitly warns that “a leader guided solely by public approval will ultimately fail to lead.” Hence, absolute dependence on public opinion is rejected. Option (b) is correct: The author emphasizes that statesmanship requires “balancing conscience with consultation—listening to others without surrendering principle,” capturing the blend of moral conviction, humility, and dialogue. Option (c) is incorrect: The passage actually praises moral conviction, noting that reformers often acted “against the tide of their times.” Option (d) is incorrect: While it values courage, the passage also stresses humility and listening; ignoring opposition completely contradicts this spirit. Therefore, option (b) accurately represents the message. Incorrect Answer: (b) Explanation: Option (a) is incorrect: The passage explicitly warns that “a leader guided solely by public approval will ultimately fail to lead.” Hence, absolute dependence on public opinion is rejected. Option (b) is correct: The author emphasizes that statesmanship requires “balancing conscience with consultation—listening to others without surrendering principle,” capturing the blend of moral conviction, humility, and dialogue. Option (c) is incorrect: The passage actually praises moral conviction, noting that reformers often acted “against the tide of their times.” Option (d) is incorrect: While it values courage, the passage also stresses humility and listening; ignoring opposition completely contradicts this spirit. Therefore, option (b) accurately represents the message.

#### 2. Question

A leader guided solely by public approval will ultimately fail to lead. Popular opinion may serve as a compass of sentiment, but it is not always a measure of what is just or wise. History shows that true reformers often stood against the tide of their times, driven by moral conviction rather than applause. Yet, moral stubbornness detached from dialogue can harden into arrogance. The art of statesmanship lies in balancing conscience with consultation—listening to others without surrendering principle. A democracy flourishes not when leaders echo the loudest voices, but when they act with courage tempered by humility and guided by an inner sense of duty.

Q. Which one of the following statements best reflects the critical message conveyed by the author of the passage?

• (a) A democratic leader must act strictly according to public opinion to ensure legitimacy.

• (b) A true leader harmonizes moral conviction with public consultation while upholding personal integrity.

• (c) Leadership based on moral conviction is inherently undemocratic.

• (d) Public opposition must always be ignored when pursuing just reforms.

Answer: (b)

Explanation: Option (a) is incorrect: The passage explicitly warns that “a leader guided solely by public approval will ultimately fail to lead.” Hence, absolute dependence on public opinion is rejected. Option (b) is correct: The author emphasizes that statesmanship requires “balancing conscience with consultation—listening to others without surrendering principle,” capturing the blend of moral conviction, humility, and dialogue. Option (c) is incorrect: The passage actually praises moral conviction, noting that reformers often acted “against the tide of their times.” Option (d) is incorrect: While it values courage, the passage also stresses humility and listening; ignoring opposition completely contradicts this spirit. Therefore, option (b) accurately represents the message.

Answer: (b)

• Question 3 of 5 3. Question With reference to the above passage, the following assumptions have been made: I. Leadership demands both moral integrity and openness to differing perspectives. II. Public opinion in a democracy is always irrational and must be disregarded. 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 passage argues that a wise leader must balance “conscience with consultation,” implying integrity combined with receptivity to others’ views. Assumption II is incorrect: The author never says public opinion is always irrational—only that it should not be the sole guide. Hence, this assumption overstates the idea. Therefore, only Assumption I is valid, making option (a) correct. Incorrect Answer: (a) Explanation: Assumption I is correct: The passage argues that a wise leader must balance “conscience with consultation,” implying integrity combined with receptivity to others’ views. Assumption II is incorrect: The author never says public opinion is always irrational—only that it should not be the sole guide. Hence, this assumption overstates the idea. Therefore, only Assumption I is valid, making option (a) correct.

#### 3. Question

With reference to the above passage, the following assumptions have been made:

I. Leadership demands both moral integrity and openness to differing perspectives. II. Public opinion in a democracy is always irrational and must be disregarded.

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 passage argues that a wise leader must balance “conscience with consultation,” implying integrity combined with receptivity to others’ views. Assumption II is incorrect: The author never says public opinion is always irrational—only that it should not be the sole guide. Hence, this assumption overstates the idea. Therefore, only Assumption I is valid, making option (a) correct.

Answer: (a)

• Question 4 of 5 4. Question In the sequence: 1234567891011121314… (all natural numbers in order), what is the 2500th digit? (a) 1 (b) 8 (c) 7 (d) 0 Correct Answer: (b) Solution Numbers 1 to 9 contribute 9 digits. Numbers 10 to 99 contribute 90 × 2 = 180 digits. So, digits covered so far = 9 + 180 = 189 digits. Remaining digits = 2500 − 189 = 2311. From 100 onward, every number has 3 digits. 2311 ÷ 3 = 770 remainder 1. So, after 770 full numbers (from 100 to 869), the next digit will be the first digit of 870. The first digit of 870 is 8. Therefore, the 2500th digit is 8. Incorrect Answer: (b) Solution Numbers 1 to 9 contribute 9 digits. Numbers 10 to 99 contribute 90 × 2 = 180 digits. So, digits covered so far = 9 + 180 = 189 digits. Remaining digits = 2500 − 189 = 2311. From 100 onward, every number has 3 digits. 2311 ÷ 3 = 770 remainder 1. So, after 770 full numbers (from 100 to 869), the next digit will be the first digit of 870. The first digit of 870 is 8. Therefore, the 2500th digit is 8.

#### 4. Question

In the sequence: 1234567891011121314… (all natural numbers in order), what is the 2500th digit?

Answer: (b)

Numbers 1 to 9 contribute 9 digits. Numbers 10 to 99 contribute 90 × 2 = 180 digits. So, digits covered so far = 9 + 180 = 189 digits.

Remaining digits = 2500 − 189 = 2311. From 100 onward, every number has 3 digits. 2311 ÷ 3 = 770 remainder 1.

So, after 770 full numbers (from 100 to 869), the next digit will be the first digit of 870. The first digit of 870 is 8.

Therefore, the 2500th digit is 8.

Answer: (b)

Numbers 1 to 9 contribute 9 digits. Numbers 10 to 99 contribute 90 × 2 = 180 digits. So, digits covered so far = 9 + 180 = 189 digits.

Remaining digits = 2500 − 189 = 2311. From 100 onward, every number has 3 digits. 2311 ÷ 3 = 770 remainder 1.

So, after 770 full numbers (from 100 to 869), the next digit will be the first digit of 870. The first digit of 870 is 8.

Therefore, the 2500th digit is 8.

• Question 5 of 5 5. Question Consider the following question and statements: Question: What are the values of two natural numbers, and ? Statement I: The sum of and is 13. Statement II: The product of and is 40. Which one of the following is correct with respect to above? (a) Either statement alone is sufficient (b) Only one of the statements is sufficient (c) Both statements together are necessary (d) Even both statements together are not sufficient Correct Answer: (c) Explanation: Statement I: → Possible pairs: (1,12), (2,11), (3,10), (4,9), (5,8), (6,7) → Not unique ⇒ Not sufficient alone Statement II: → Possible pairs: (1,40), (2,20), (4,10), (5,8) → Not unique ⇒ Not sufficient alone Combining both: Check which of the sum-13 pairs match a product of 40 → Only (5,8) satisfies both ⇒ Unique solution found Incorrect Answer: (c) Explanation: Statement I: → Possible pairs: (1,12), (2,11), (3,10), (4,9), (5,8), (6,7) → Not unique ⇒ Not sufficient alone Statement II: → Possible pairs: (1,40), (2,20), (4,10), (5,8) → Not unique ⇒ Not sufficient alone Combining both: Check which of the sum-13 pairs match a product of 40 → Only (5,8) satisfies both ⇒ Unique solution found

#### 5. Question

Consider the following question and statements:

Question: What are the values of two natural numbers, and ?

Statement I: The sum of and is 13. Statement II: The product of and is 40.

Which one of the following is correct with respect to above?

• (a) Either statement alone is sufficient

• (b) Only one of the statements is sufficient

• (c) Both statements together are necessary

• (d) Even both statements together are not sufficient

Answer: (c)

Explanation: Statement I: → Possible pairs: (1,12), (2,11), (3,10), (4,9), (5,8), (6,7) → Not unique ⇒ Not sufficient alone

Statement II: → Possible pairs: (1,40), (2,20), (4,10), (5,8) → Not unique ⇒ Not sufficient alone

Combining both: Check which of the sum-13 pairs match a product of 40 → Only (5,8) satisfies both ⇒ Unique solution found

Answer: (c)

Explanation: Statement I: → Possible pairs: (1,12), (2,11), (3,10), (4,9), (5,8), (6,7) → Not unique ⇒ Not sufficient alone

Statement II: → Possible pairs: (1,40), (2,20), (4,10), (5,8) → Not unique ⇒ Not sufficient alone

Combining both: Check which of the sum-13 pairs match a product of 40 → Only (5,8) satisfies both ⇒ Unique solution found

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