UPSC Insta–DART (Daily Aptitude and Reasoning Test) 18 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 In an objective test of 80 questions, 4 marks are awarded for every correct answer and 1 mark is deducted for every wrong answer. A student attempted all questions and scored 235 marks. What is the number of incorrect responses? (a) 5 (b) 17 (c) 9 (d) 11 Correct Incorrect
#### 1. Question
In an objective test of 80 questions, 4 marks are awarded for every correct answer and 1 mark is deducted for every wrong answer. A student attempted all questions and scored 235 marks. What is the number of incorrect responses?
• Question 2 of 5 2. Question A person P asks one of his three friends X as to how much money he had. X replied, “If Y gives me ₹20, then Y will have half as much as Z. But if Z gives me ₹50, then all three of us will have equal amount.” What is the total amount of money that X, Y and Z have? (a) ₹270 (b) ₹320 (c) ₹340 (d) ₹360 Correct Incorrect
#### 2. Question
A person P asks one of his three friends X as to how much money he had. X replied, “If Y gives me ₹20, then Y will have half as much as Z. But if Z gives me ₹50, then all three of us will have equal amount.” What is the total amount of money that X, Y and Z have?
• Question 3 of 5 3. Question The sum of the digits of a two-digit number is 11. When 27 is added to the number, the digits of the number are interchanged. What is the number? (a) 38 (b) 47 (c) 56 (d) 65 Correct Incorrect
#### 3. Question
The sum of the digits of a two-digit number is 11. When 27 is added to the number, the digits of the number are interchanged. What is the number?
• Question 4 of 5 4. Question If X, Y and Z are three positive numbers such that X > Y > Z. When the smallest number is added to the difference of the other two numbers, the average of the resultant number and the original numbers except the smallest number is 28 more than the average of all three original numbers. If the value of (X – Y) is P, then which of the following is definitely not true? (a) The value of P has exactly 12 factors (b) The value of (P − 1) is a perfect square (c) The value of (P/2) is an even number (d) The number (P + 1) ends with digit 5 Correct Answer: (b) Solution: Given that, P = X − Y Resultant number = (X − Y) + Z = P + Z Average of (P + Z), X and Y: (P + Z + X + Y)/3 Average of X, Y and Z: (X + Y + Z)/3 Given that, (P + Z + X + Y)/3 = (X + Y + Z)/3 + 28 Multiply by 3: P + Z + X + Y = X + Y + Z + 84 So, P = 84 Now check options: (a) 84 = 2² × 3 × 7, number of factors = (2+1)(1+1)(1+1) = 12 → true (b) P − 1 = 83, which is not a perfect square → false (c) P/2 = 42, which is even → true (d) P + 1 = 85, ends with 5 → true Hence, option (b) is correct. Incorrect Answer: (b) Solution: Given that, P = X − Y Resultant number = (X − Y) + Z = P + Z Average of (P + Z), X and Y: (P + Z + X + Y)/3 Average of X, Y and Z: (X + Y + Z)/3 Given that, (P + Z + X + Y)/3 = (X + Y + Z)/3 + 28 Multiply by 3: P + Z + X + Y = X + Y + Z + 84 So, P = 84 Now check options: (a) 84 = 2² × 3 × 7, number of factors = (2+1)(1+1)(1+1) = 12 → true (b) P − 1 = 83, which is not a perfect square → false (c) P/2 = 42, which is even → true (d) P + 1 = 85, ends with 5 → true Hence, option (b) is correct.
#### 4. Question
If X, Y and Z are three positive numbers such that X > Y > Z. When the smallest number is added to the difference of the other two numbers, the average of the resultant number and the original numbers except the smallest number is 28 more than the average of all three original numbers. If the value of (X – Y) is P, then which of the following is definitely not true?
• (a) The value of P has exactly 12 factors
• (b) The value of (P − 1) is a perfect square
• (c) The value of (P/2) is an even number
• (d) The number (P + 1) ends with digit 5
Answer: (b)
Given that,
P = X − Y Resultant number = (X − Y) + Z = P + Z
Average of (P + Z), X and Y:
(P + Z + X + Y)/3
Average of X, Y and Z:
(X + Y + Z)/3
Given that,
(P + Z + X + Y)/3 = (X + Y + Z)/3 + 28
Multiply by 3:
P + Z + X + Y = X + Y + Z + 84
Now check options:
(a) 84 = 2² × 3 × 7, number of factors = (2+1)(1+1)(1+1) = 12 → true (b) P − 1 = 83, which is not a perfect square → false (c) P/2 = 42, which is even → true (d) P + 1 = 85, ends with 5 → true
Hence, option (b) is correct.
Answer: (b)
Given that,
P = X − Y Resultant number = (X − Y) + Z = P + Z
Average of (P + Z), X and Y:
(P + Z + X + Y)/3
Average of X, Y and Z:
(X + Y + Z)/3
Given that,
(P + Z + X + Y)/3 = (X + Y + Z)/3 + 28
Multiply by 3:
P + Z + X + Y = X + Y + Z + 84
Now check options:
(a) 84 = 2² × 3 × 7, number of factors = (2+1)(1+1)(1+1) = 12 → true (b) P − 1 = 83, which is not a perfect square → false (c) P/2 = 42, which is even → true (d) P + 1 = 85, ends with 5 → true
Hence, option (b) is correct.
• Question 5 of 5 5. Question The notion of liberty is frequently conflated with the absence of constraint, suggesting that freedom is merely the silence of the law. However, true liberty is not the license to act on every impulse, for such a state inevitably devolves into the tyranny of the strongest. Instead, liberty is intrinsically tied to the concept of moral autonomy—the capacity to govern oneself according to rational principles. Therefore, a free society is not one where individuals are detached from obligation, but one where obligations are self-imposed rather than externally coerced. The paradox of freedom is that it requires the rigid scaffolding of duty; without the voluntary acceptance of constraints, the social contract disintegrates into chaos, rendering freedom impossible for all. Which one of the following statements best reflects the crux of the passage? (a) True freedom is attained only when all external laws and constraints are abolished. (b) Liberty is less about the absence of restrictions and more about the presence of self-discipline and rational duty. (c) The social contract is an outdated concept that restricts the natural impulses of human beings. (d) A society can only be considered free if the government imposes strict laws to control human impulses. Correct Answer: (b) Explanation: Option (a) is incorrect: The passage explicitly argues against this, stating that freedom is not “merely the silence of the law” and that acting on every impulse leads to tyranny. Abolishing all constraints would lead to chaos, not freedom. Option (b) is correct: The passage defines liberty as “tied to the concept of moral autonomy” and the “capacity to govern oneself.” It emphasizes that freedom requires the “rigid scaffolding of duty” and “self-imposed” obligations. This aligns perfectly with the idea that liberty is about self-discipline rather than just a lack of restriction. Option (c) is incorrect: The passage argues that the social contract (implied by “obligations” and “social contract”) is necessary to prevent chaos. It does not call it outdated; rather, it suggests that without it, freedom is impossible. Option (d) is incorrect: While the passage supports constraints, it specifies that obligations should be “self-imposed rather than externally coerced.” Option (d) emphasizes government imposition, which contradicts the passage’s focus on “moral autonomy” and self-governance. Incorrect Answer: (b) Explanation: Option (a) is incorrect: The passage explicitly argues against this, stating that freedom is not “merely the silence of the law” and that acting on every impulse leads to tyranny. Abolishing all constraints would lead to chaos, not freedom. Option (b) is correct: The passage defines liberty as “tied to the concept of moral autonomy” and the “capacity to govern oneself.” It emphasizes that freedom requires the “rigid scaffolding of duty” and “self-imposed” obligations. This aligns perfectly with the idea that liberty is about self-discipline rather than just a lack of restriction. Option (c) is incorrect: The passage argues that the social contract (implied by “obligations” and “social contract”) is necessary to prevent chaos. It does not call it outdated; rather, it suggests that without it, freedom is impossible. Option (d) is incorrect: While the passage supports constraints, it specifies that obligations should be “self-imposed rather than externally coerced.” Option (d) emphasizes government imposition, which contradicts the passage’s focus on “moral autonomy” and self-governance.
#### 5. Question
The notion of liberty is frequently conflated with the absence of constraint, suggesting that freedom is merely the silence of the law. However, true liberty is not the license to act on every impulse, for such a state inevitably devolves into the tyranny of the strongest. Instead, liberty is intrinsically tied to the concept of moral autonomy—the capacity to govern oneself according to rational principles. Therefore, a free society is not one where individuals are detached from obligation, but one where obligations are self-imposed rather than externally coerced. The paradox of freedom is that it requires the rigid scaffolding of duty; without the voluntary acceptance of constraints, the social contract disintegrates into chaos, rendering freedom impossible for all.
Which one of the following statements best reflects the crux of the passage?
• (a) True freedom is attained only when all external laws and constraints are abolished.
• (b) Liberty is less about the absence of restrictions and more about the presence of self-discipline and rational duty.
• (c) The social contract is an outdated concept that restricts the natural impulses of human beings.
• (d) A society can only be considered free if the government imposes strict laws to control human impulses.
Answer: (b)
Explanation:
• Option (a) is incorrect: The passage explicitly argues against this, stating that freedom is not “merely the silence of the law” and that acting on every impulse leads to tyranny. Abolishing all constraints would lead to chaos, not freedom.
• Option (b) is correct: The passage defines liberty as “tied to the concept of moral autonomy” and the “capacity to govern oneself.” It emphasizes that freedom requires the “rigid scaffolding of duty” and “self-imposed” obligations. This aligns perfectly with the idea that liberty is about self-discipline rather than just a lack of restriction.
• Option (c) is incorrect: The passage argues that the social contract (implied by “obligations” and “social contract”) is necessary to prevent chaos. It does not call it outdated; rather, it suggests that without it, freedom is impossible.
• Option (d) is incorrect: While the passage supports constraints, it specifies that obligations should be “self-imposed rather than externally coerced.” Option (d) emphasizes government imposition, which contradicts the passage’s focus on “moral autonomy” and self-governance.
Answer: (b)
Explanation:
• Option (a) is incorrect: The passage explicitly argues against this, stating that freedom is not “merely the silence of the law” and that acting on every impulse leads to tyranny. Abolishing all constraints would lead to chaos, not freedom.
• Option (b) is correct: The passage defines liberty as “tied to the concept of moral autonomy” and the “capacity to govern oneself.” It emphasizes that freedom requires the “rigid scaffolding of duty” and “self-imposed” obligations. This aligns perfectly with the idea that liberty is about self-discipline rather than just a lack of restriction.
• Option (c) is incorrect: The passage argues that the social contract (implied by “obligations” and “social contract”) is necessary to prevent chaos. It does not call it outdated; rather, it suggests that without it, freedom is impossible.
• Option (d) is incorrect: While the passage supports constraints, it specifies that obligations should be “self-imposed rather than externally coerced.” Option (d) emphasizes government imposition, which contradicts the passage’s focus on “moral autonomy” and self-governance.
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