UPSC Insta–DART (Daily Aptitude and Reasoning Test) 5 Feb 2026

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 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

#### 1. 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 2 of 5 2. Question A farmer plants 3060 plants in such a way that the number of plants in each row is one more than the number of rows. How many plants are there in each row? (a) 54 (b) 55 (c) 56 (d) 57 Correct Answer: (c) Solution: Given that, Let number of rows = x Plants in each row = x + 1 Total plants: x(x + 1) = 3060 x² + x − 3060 = 0 Now, 54 × 55 = 2970 55 × 56 = 3080 So, x = 55 Plants in each row = x + 1 = 56 Hence, option (c) is correct. Incorrect Answer: (c) Solution: Given that, Let number of rows = x Plants in each row = x + 1 Total plants: x(x + 1) = 3060 x² + x − 3060 = 0 Now, 54 × 55 = 2970 55 × 56 = 3080 So, x = 55 Plants in each row = x + 1 = 56 Hence, option (c) is correct.

#### 2. Question

A farmer plants 3060 plants in such a way that the number of plants in each row is one more than the number of rows. How many plants are there in each row?

Answer: (c)

Solution:

Given that,

Let number of rows = x Plants in each row = x + 1

Total plants:

x(x + 1) = 3060

x² + x − 3060 = 0

54 × 55 = 2970 55 × 56 = 3080

Plants in each row = x + 1 = 56

Hence, option (c) is correct.

Answer: (c)

Solution:

Given that,

Let number of rows = x Plants in each row = x + 1

Total plants:

x(x + 1) = 3060

x² + x − 3060 = 0

54 × 55 = 2970 55 × 56 = 3080

Plants in each row = x + 1 = 56

Hence, option (c) is correct.

• Question 3 of 5 3. Question In an examination, 1/10 of the students were absent. Of those who appeared, 4/5 passed the exam. If 320 students failed, consider the following statements: Statement I: The total number of students who appeared for the exam is 1600. Statement II: The number of students who passed the exam is four times the number of students who failed. Which of the above statements is/are correct? (a) I only (b) II only (c) Both I and II (d) Neither I nor II Correct Incorrect

#### 3. Question

In an examination, 1/10 of the students were absent. Of those who appeared, 4/5 passed the exam. If 320 students failed, consider the following statements:

Statement I: The total number of students who appeared for the exam is 1600. Statement II: The number of students who passed the exam is four times the number of students who failed.

Which of the above statements is/are correct?

• (a) I only

• (b) II only

• (c) Both I and II

• (d) Neither I nor II

• Question 4 of 5 4. Question 2 – 4 + 6 – 8 + 10 – 12 + 14 ……… If the sum of 50 terms of the given series is X, then consider the following statements: Statement I: The value of X is a negative number. Statement II: The value of X is a multiple of 50. Which of the above-mentioned statements is/are correct? (a) I only (b) II only (c) Both I and II (d) Neither I nor II Correct Answer: (c) Solution: Given that, Series is: 2 – 4 + 6 – 8 + … up to 50 terms. Group terms in pairs: (2 − 4) + (6 − 8) + (10 − 12) + … Each pair sum = −2 Number of terms = 50 So, number of pairs = 50/2 = 25 Therefore, X = 25 × (−2) = −50 Statement I: X is negative → true Statement II: X is a multiple of 50 → −50 is a multiple of 50 → true Hence, option (c) is correct. Incorrect Answer: (c) Solution: Given that, Series is: 2 – 4 + 6 – 8 + … up to 50 terms. Group terms in pairs: (2 − 4) + (6 − 8) + (10 − 12) + … Each pair sum = −2 Number of terms = 50 So, number of pairs = 50/2 = 25 Therefore, X = 25 × (−2) = −50 Statement I: X is negative → true Statement II: X is a multiple of 50 → −50 is a multiple of 50 → true Hence, option (c) is correct.

#### 4. Question

2 – 4 + 6 – 8 + 10 – 12 + 14 ……… If the sum of 50 terms of the given series is X, then consider the following statements: Statement I: The value of X is a negative number. Statement II: The value of X is a multiple of 50. Which of the above-mentioned statements is/are correct?

• (a) I only

• (b) II only

• (c) Both I and II

• (d) Neither I nor II

Answer: (c)

Given that,

Series is: 2 – 4 + 6 – 8 + … up to 50 terms.

Group terms in pairs:

(2 − 4) + (6 − 8) + (10 − 12) + …

Each pair sum = −2

Number of terms = 50 So, number of pairs = 50/2 = 25

Therefore,

X = 25 × (−2) = −50

Statement I:

X is negative → true

Statement II:

X is a multiple of 50 → −50 is a multiple of 50 → true

Hence, option (c) is correct.

Answer: (c)

Given that,

Series is: 2 – 4 + 6 – 8 + … up to 50 terms.

Group terms in pairs:

(2 − 4) + (6 − 8) + (10 − 12) + …

Each pair sum = −2

Number of terms = 50 So, number of pairs = 50/2 = 25

Therefore,

X = 25 × (−2) = −50

Statement I:

X is negative → true

Statement II:

X is a multiple of 50 → −50 is a multiple of 50 → true

Hence, option (c) is correct.

• Question 5 of 5 5. Question Human reason is often invoked as the primary instrument for ordering social life, resolving conflicts, and advancing collective welfare. Yet reason rarely operates in isolation. It is shaped by inherited beliefs, historical contingencies, and institutional incentives that define what is considered rational at a given time. Consequently, appeals to reason may stabilise existing arrangements as much as they challenge them. While rational justification is frequently presented as a neutral arbiter in public life, its application often reflects underlying power structures and normative assumptions. Which one of the following statements best reflects the critical message conveyed by the author of the passage? (a) Human reason is fundamentally incapable of producing fair and objective social outcomes. (b) Reason functions independently of historical and institutional influences in public decision-making. (c) Rationality, though important, is conditioned by context and cannot be assumed to be value-neutral. (d) Power structures completely determine what is regarded as rational in society. Correct Answer: (c) Explanation Option (a) is incorrect: The passage explicitly states, “This does not render reason irrelevant”. Hence, a total rejection of reason is not supported. Option (b) is incorrect: The passage repeatedly emphasises that reason is shaped by beliefs, history, and institutions. This option directly contradicts that idea. Option (c) is correct: The passage walks a careful line: it neither glorifies nor dismisses reason. It highlights that rationality is context-conditioned and often reflects normative and power assumptions, undermining claims of neutrality. This option captures that balance without overreach. Option (d) is incorrect: While power structures influence rationality, the passage does not claim they completely determine it. The word “completely” makes this option absolutist and hence incorrect. Incorrect Answer: (c) Explanation Option (a) is incorrect: The passage explicitly states, “This does not render reason irrelevant”. Hence, a total rejection of reason is not supported. Option (b) is incorrect: The passage repeatedly emphasises that reason is shaped by beliefs, history, and institutions. This option directly contradicts that idea. Option (c) is correct: The passage walks a careful line: it neither glorifies nor dismisses reason. It highlights that rationality is context-conditioned and often reflects normative and power assumptions, undermining claims of neutrality. This option captures that balance without overreach. Option (d) is incorrect: While power structures influence rationality, the passage does not claim they completely determine it. The word “completely” makes this option absolutist and hence incorrect.

#### 5. Question

Human reason is often invoked as the primary instrument for ordering social life, resolving conflicts, and advancing collective welfare. Yet reason rarely operates in isolation. It is shaped by inherited beliefs, historical contingencies, and institutional incentives that define what is considered rational at a given time. Consequently, appeals to reason may stabilise existing arrangements as much as they challenge them. While rational justification is frequently presented as a neutral arbiter in public life, its application often reflects underlying power structures and normative assumptions.

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

• (a) Human reason is fundamentally incapable of producing fair and objective social outcomes.

• (b) Reason functions independently of historical and institutional influences in public decision-making.

• (c) Rationality, though important, is conditioned by context and cannot be assumed to be value-neutral.

• (d) Power structures completely determine what is regarded as rational in society.

Answer: (c)

Explanation

Option (a) is incorrect: The passage explicitly states, “This does not render reason irrelevant”. Hence, a total rejection of reason is not supported.

• Option (b) is incorrect: The passage repeatedly emphasises that reason is shaped by beliefs, history, and institutions. This option directly contradicts that idea.

• Option (c) is correct: The passage walks a careful line: it neither glorifies nor dismisses reason. It highlights that rationality is context-conditioned and often reflects normative and power assumptions, undermining claims of neutrality. This option captures that balance without overreach.

• Option (d) is incorrect: While power structures influence rationality, the passage does not claim they completely determine it. The word “completely” makes this option absolutist and hence incorrect.

Answer: (c)

Explanation

Option (a) is incorrect: The passage explicitly states, “This does not render reason irrelevant”. Hence, a total rejection of reason is not supported.

• Option (b) is incorrect: The passage repeatedly emphasises that reason is shaped by beliefs, history, and institutions. This option directly contradicts that idea.

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