UPSC Insta–DART (Daily Aptitude and Reasoning Test) 11 Nov 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).

#### Quiz-summary

0 of 5 questions completed

Questions:

#### Information

Best of Luck! 🙂

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading...

You must sign in or sign up to start the quiz.

You have to finish following quiz, to start this quiz:

0 of 5 questions answered correctly

Your time:

Time has elapsed

You have reached 0 of 0 points, (0)

#### Categories

• Not categorized 0%

• Question 1 of 5 1. Question Consider the following statements: Statement I: There are 60 three-digit numbers divisible by 15. Statement II: There are 100 three-digit numbers divisible by 5. Which of the statements is/are correct? (a) I only (b) II only (c) Both I and II (d) Neither I nor II Correct Answer: (a) Solution: For Statement I: Smallest 3-digit multiple of 15 = 105, largest = 990. Count = (990 − 105)/15 + 1 = 885/15 + 1 = 59 + 1 = 60 → correct. For Statement II: Smallest 3-digit multiple of 5 = 100, largest = 995. Count = (995 − 100)/5 + 1 = 895/5 + 1 = 179 + 1 = 180 → not 100 → incorrect. Hence, only Statement I is correct. Incorrect Answer: (a) Solution: For Statement I: Smallest 3-digit multiple of 15 = 105, largest = 990. Count = (990 − 105)/15 + 1 = 885/15 + 1 = 59 + 1 = 60 → correct. For Statement II: Smallest 3-digit multiple of 5 = 100, largest = 995. Count = (995 − 100)/5 + 1 = 895/5 + 1 = 179 + 1 = 180 → not 100 → incorrect. Hence, only Statement I is correct.

#### 1. Question

Consider the following statements:

Statement I: There are 60 three-digit numbers divisible by 15. Statement II: There are 100 three-digit numbers divisible by 5.

Which of the statements is/are correct?

• (a) I only

• (b) II only

• (c) Both I and II

• (d) Neither I nor II

Answer: (a) Solution: For Statement I: Smallest 3-digit multiple of 15 = 105, largest = 990. Count = (990 − 105)/15 + 1 = 885/15 + 1 = 59 + 1 = 60 → correct. For Statement II: Smallest 3-digit multiple of 5 = 100, largest = 995. Count = (995 − 100)/5 + 1 = 895/5 + 1 = 179 + 1 = 180 → not 100 → incorrect. Hence, only Statement I is correct.

• Question 2 of 5 2. Question By what least number should 250 be multiplied to obtain a perfect cube? (a) 4 (b) 5 (c) 10 (d) 20 Correct Answer: (a) Solution: Prime factorization of 250 = 2¹ × 5³. To make it a perfect cube, the power of 2 must be a multiple of 3. We have 2¹, so multiply by 2² = 4. 250 × 4 = 1000 = 10³. Hence, least multiplier = 4 Incorrect Answer: (a) Solution: Prime factorization of 250 = 2¹ × 5³. To make it a perfect cube, the power of 2 must be a multiple of 3. We have 2¹, so multiply by 2² = 4. 250 × 4 = 1000 = 10³. Hence, least multiplier = 4

#### 2. Question

By what least number should 250 be multiplied to obtain a perfect cube?

Answer: (a) Solution: Prime factorization of 250 = 2¹ × 5³. To make it a perfect cube, the power of 2 must be a multiple of 3. We have 2¹, so multiply by 2² = 4. 250 × 4 = 1000 = 10³. Hence, least multiplier = 4

• Question 3 of 5 3. Question Let P = QQQ be a 3-digit number. What is the HCF of P and 481? (a) 1 (b) 13 (c) 37 (d) 481 Correct Answer:(c) Solution P = QQQ = Q × 111 = Q × 3 × 37 (Q can be 1, 2, 3, ……, 9) And, 481 = 13 × 37 So, HCF of P & 481 = 37 (as Q cannot be 13) Incorrect Answer:(c) Solution P = QQQ = Q × 111 = Q × 3 × 37 (Q can be 1, 2, 3, ……, 9) And, 481 = 13 × 37 So, HCF of P & 481 = 37 (as Q cannot be 13)

#### 3. Question

Let P = QQQ be a 3-digit number. What is the HCF of P and 481?

Answer:(c)

P = QQQ = Q × 111 = Q × 3 × 37 (Q can be 1, 2, 3, ……, 9)

And, 481 = 13 × 37

So, HCF of P & 481 = 37 (as Q cannot be 13)

Answer:(c)

P = QQQ = Q × 111 = Q × 3 × 37 (Q can be 1, 2, 3, ……, 9)

And, 481 = 13 × 37

So, HCF of P & 481 = 37 (as Q cannot be 13)

• Question 4 of 5 4. Question Utilitarian ethics holds that actions are right if they promote the greatest happiness for the greatest number. Yet this principle, apparently simple and democratic, conceals troubling dilemmas. By evaluating outcomes only in terms of aggregate welfare, it can justify sacrificing the few for the happiness of the many. A society guided purely by such reasoning risks treating persons as instruments rather than as ends in themselves. Moral progress, however, may require that certain rights remain inviolable even when their violation might maximize total utility. The deepest challenge, therefore, is not how to compute happiness but how to ensure that the pursuit of collective good does not erode the moral worth of the individual. Which one of the following statements best reflects the most logical and rational message conveyed by the author of the passage? (a) The utilitarian approach, while aiming at collective welfare, must be balanced by respect for individual rights and moral dignity. (b) Utilitarianism is the only ethical system capable of ensuring fairness and equality in society. (c) To secure maximum happiness, society must accept individual sacrifices as morally justified. (d) The utilitarian principle fails entirely as it cannot measure happiness accurately. Correct Answer: (a) Explanation: Option (a) is correct: The author’s core argument is a caution against unqualified utilitarianism. The passage asserts that collective welfare must never override the inviolable moral worth of individuals, which aligns directly with (a). Option (b) is incorrect: The passage critiques utilitarianism rather than endorsing it as the only ethical framework. Option (c) is incorrect: While utilitarianism may imply this, the author calls such reasoning morally troubling—“risks treating persons as instruments.” Option (d) is incorrect: The passage mentions the difficulty of “computing happiness,” but this is not its central message; the focus is moral, not mathematical. Hence, (a) correctly captures the nuanced position that moral ethics requires a balance between collective good and individual dignity. Incorrect Answer: (a) Explanation: Option (a) is correct: The author’s core argument is a caution against unqualified utilitarianism. The passage asserts that collective welfare must never override the inviolable moral worth of individuals, which aligns directly with (a). Option (b) is incorrect: The passage critiques utilitarianism rather than endorsing it as the only ethical framework. Option (c) is incorrect: While utilitarianism may imply this, the author calls such reasoning morally troubling—“risks treating persons as instruments.” Option (d) is incorrect: The passage mentions the difficulty of “computing happiness,” but this is not its central message; the focus is moral, not mathematical. Hence, (a) correctly captures the nuanced position that moral ethics requires a balance between collective good and individual dignity.

#### 4. Question

Utilitarian ethics holds that actions are right if they promote the greatest happiness for the greatest number. Yet this principle, apparently simple and democratic, conceals troubling dilemmas. By evaluating outcomes only in terms of aggregate welfare, it can justify sacrificing the few for the happiness of the many. A society guided purely by such reasoning risks treating persons as instruments rather than as ends in themselves. Moral progress, however, may require that certain rights remain inviolable even when their violation might maximize total utility. The deepest challenge, therefore, is not how to compute happiness but how to ensure that the pursuit of collective good does not erode the moral worth of the individual.

Which one of the following statements best reflects the most logical and rational message conveyed by the author of the passage?

• (a) The utilitarian approach, while aiming at collective welfare, must be balanced by respect for individual rights and moral dignity.

• (b) Utilitarianism is the only ethical system capable of ensuring fairness and equality in society.

• (c) To secure maximum happiness, society must accept individual sacrifices as morally justified.

• (d) The utilitarian principle fails entirely as it cannot measure happiness accurately.

Answer: (a)

Explanation: Option (a) is correct: The author’s core argument is a caution against unqualified utilitarianism. The passage asserts that collective welfare must never override the inviolable moral worth of individuals, which aligns directly with (a). Option (b) is incorrect: The passage critiques utilitarianism rather than endorsing it as the only ethical framework. Option (c) is incorrect: While utilitarianism may imply this, the author calls such reasoning morally troubling—“risks treating persons as instruments.” Option (d) is incorrect: The passage mentions the difficulty of “computing happiness,” but this is not its central message; the focus is moral, not mathematical. Hence, (a) correctly captures the nuanced position that moral ethics requires a balance between collective good and individual dignity.

Answer: (a)

• Question 5 of 5 5. Question With reference to the above passage, the following assumptions have been made: I Unrestrained application of utilitarian ethics may lead to moral injustice. II. Individual rights serve as necessary limits on collective welfare calculations. III. The moral worth of an action depends solely on its measurable social consequences. Which of the above assumptions is/are valid? (a) I only (b) I and II only (c) II and III only (d) All three Correct Answer: (b) Explanation: Assumption I is correct: The passage explicitly warns that utilitarian reasoning “can justify sacrificing the few for the happiness of the many,” which indicates that unrestrained utilitarianism can produce moral injustice. Assumption II is correct: The author states that “moral progress requires that certain rights remain inviolable,” implying that rights act as ethical boundaries beyond which collective welfare cannot go. Assumption III is incorrect: This is precisely what the passage rejects. The line “the deepest challenge is not how to compute happiness but how to ensure moral worth” shows that the author distinguishes moral value from mere consequences. Thus, only I and II are valid — (b) is the correct answer. Incorrect Answer: (b) Explanation: Assumption I is correct: The passage explicitly warns that utilitarian reasoning “can justify sacrificing the few for the happiness of the many,” which indicates that unrestrained utilitarianism can produce moral injustice. Assumption II is correct: The author states that “moral progress requires that certain rights remain inviolable,” implying that rights act as ethical boundaries beyond which collective welfare cannot go. Assumption III is incorrect: This is precisely what the passage rejects. The line “the deepest challenge is not how to compute happiness but how to ensure moral worth” shows that the author distinguishes moral value from mere consequences. Thus, only I and II are valid — (b) is the correct answer.

#### 5. Question

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

I Unrestrained application of utilitarian ethics may lead to moral injustice. II. Individual rights serve as necessary limits on collective welfare calculations. III. The moral worth of an action depends solely on its measurable social consequences.

Which of the above assumptions is/are valid?

• (a) I only

• (b) I and II only

• (c) II and III only

• (d) All three

Answer: (b)

Explanation: Assumption I is correct: The passage explicitly warns that utilitarian reasoning “can justify sacrificing the few for the happiness of the many,” which indicates that unrestrained utilitarianism can produce moral injustice. Assumption II is correct: The author states that “moral progress requires that certain rights remain inviolable,” implying that rights act as ethical boundaries beyond which collective welfare cannot go. Assumption III is incorrect: This is precisely what the passage rejects. The line “the deepest challenge is not how to compute happiness but how to ensure moral worth” shows that the author distinguishes moral value from mere consequences. Thus, only I and II are valid — (b) is the correct answer.

Answer: (b)

• Official Facebook Page HERE

• Follow our Twitter Account HERE