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UPSC Insta–DART (Daily Aptitude and Reasoning Test) 9 Jan 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 A competition places 15 bags along a field in a straight line at intervals of 12 meters, with the first bag at a distance of 36 meters from the starting line. A player must bring all the bags back one at a time. What is the total distance travelled? (a) 2.5 km (b) 3.6 km (c) 4.0 km (d) 2.9 km Correct Incorrect

#### 1. Question

A competition places 15 bags along a field in a straight line at intervals of 12 meters, with the first bag at a distance of 36 meters from the starting line. A player must bring all the bags back one at a time. What is the total distance travelled?

• (a) 2.5 km

• (b) 3.6 km

• (c) 4.0 km

• (d) 2.9 km

• Question 2 of 5 2. Question A tank is fitted with two inlet pipes, D and E, having radii 3 cm and 6 cm, respectively. The rate of water flow through each pipe is directly proportional to the cube of its radius. If the pipe with the smaller radius takes 90 minutes to fill the empty tank, how much time will pipe E take to fill a tank that is already 20% full? (a) 9 minutes (b) 8 minutes (c) 12 minutes (d) 6 minutes Correct Answer: (a) Solution Water flow is directly proportional to the cube of the radius. Let k be the proportionality constant. Then, Pipe D (radius 3 cm) = k × 3³ = 27k units/minute Pipe E (radius 6 cm) = k × 6³ = 216k units/minute Pipe D has the smaller radius and it takes 90 minutes to fill the tank. Capacity of tank = flow rate × time = 27k × 90 = 2430k units The tank is already 20% full, so 80% remains to be filled: Remaining volume = 80% of 2430k = 0.8 × 2430k = 1944k units Time taken by pipe E to fill the remaining 80% of the tank = remaining volume / flow rate of E = 1944k / 216k = 9 minutes Hence, option (a) is correct. Incorrect Answer: (a) Solution Water flow is directly proportional to the cube of the radius. Let k be the proportionality constant. Then, Pipe D (radius 3 cm) = k × 3³ = 27k units/minute Pipe E (radius 6 cm) = k × 6³ = 216k units/minute Pipe D has the smaller radius and it takes 90 minutes to fill the tank. Capacity of tank = flow rate × time = 27k × 90 = 2430k units The tank is already 20% full, so 80% remains to be filled: Remaining volume = 80% of 2430k = 0.8 × 2430k = 1944k units Time taken by pipe E to fill the remaining 80% of the tank = remaining volume / flow rate of E = 1944k / 216k = 9 minutes Hence, option (a) is correct.

#### 2. Question

A tank is fitted with two inlet pipes, D and E, having radii 3 cm and 6 cm, respectively. The rate of water flow through each pipe is directly proportional to the cube of its radius. If the pipe with the smaller radius takes 90 minutes to fill the empty tank, how much time will pipe E take to fill a tank that is already 20% full?

• (a) 9 minutes

• (b) 8 minutes

• (c) 12 minutes

• (d) 6 minutes

Answer: (a)

Solution Water flow is directly proportional to the cube of the radius. Let k be the proportionality constant.

Then, Pipe D (radius 3 cm) = k × 3³ = 27k units/minute Pipe E (radius 6 cm) = k × 6³ = 216k units/minute

Pipe D has the smaller radius and it takes 90 minutes to fill the tank.

Capacity of tank = flow rate × time = 27k × 90 = 2430k units

The tank is already 20% full, so 80% remains to be filled: Remaining volume = 80% of 2430k = 0.8 × 2430k = 1944k units

Time taken by pipe E to fill the remaining 80% of the tank = remaining volume / flow rate of E = 1944k / 216k = 9 minutes

Hence, option (a) is correct.

Answer: (a)

Solution Water flow is directly proportional to the cube of the radius. Let k be the proportionality constant.

Then, Pipe D (radius 3 cm) = k × 3³ = 27k units/minute Pipe E (radius 6 cm) = k × 6³ = 216k units/minute

Pipe D has the smaller radius and it takes 90 minutes to fill the tank.

Capacity of tank = flow rate × time = 27k × 90 = 2430k units

The tank is already 20% full, so 80% remains to be filled: Remaining volume = 80% of 2430k = 0.8 × 2430k = 1944k units

Time taken by pipe E to fill the remaining 80% of the tank = remaining volume / flow rate of E = 1944k / 216k = 9 minutes

Hence, option (a) is correct.

• Question 3 of 5 3. Question In a college sports meet, each student participates in at least one of three games—cricket, football, or basketball—and no student participates in all three. If 80 students play cricket, 55 play football, 45 play basketball, and 30 students participate in exactly two games, then how many students are there in total? (a) 150 (b) 140 (c) 160 (d) 165 Correct Answer: (a) Solution Total number of students = number of students that participated in cricket number of students that participated in football number of students that participated in basketball – number of students that participated in exactly 2 games – 2 × number of students that participated in 3 games Given that no one participates in all three games, the last term is zero. Total students = 80 + 55 + 45 – 30 – (2 × 0) = 180 – 30 = 150 Hence, option (a) is correct. Incorrect Answer: (a) Solution Total number of students = number of students that participated in cricket number of students that participated in football number of students that participated in basketball – number of students that participated in exactly 2 games – 2 × number of students that participated in 3 games Given that no one participates in all three games, the last term is zero. Total students = 80 + 55 + 45 – 30 – (2 × 0) = 180 – 30 = 150 Hence, option (a) is correct.

#### 3. Question

In a college sports meet, each student participates in at least one of three games—cricket, football, or basketball—and no student participates in all three. If 80 students play cricket, 55 play football, 45 play basketball, and 30 students participate in exactly two games, then how many students are there in total?

Answer: (a)

Solution Total number of students = number of students that participated in cricket

• number of students that participated in football

• number of students that participated in basketball – number of students that participated in exactly 2 games – 2 × number of students that participated in 3 games

Given that no one participates in all three games, the last term is zero.

Total students = 80 + 55 + 45 – 30 – (2 × 0) = 180 – 30 = 150

Hence, option (a) is correct.

Answer: (a)

Solution Total number of students = number of students that participated in cricket

• number of students that participated in football

• number of students that participated in basketball – number of students that participated in exactly 2 games – 2 × number of students that participated in 3 games

Given that no one participates in all three games, the last term is zero.

Total students = 80 + 55 + 45 – 30 – (2 × 0) = 180 – 30 = 150

Hence, option (a) is correct.

• Question 4 of 5 4. Question If the length of the minute hand is 6 cm, what is the area swept by it in 15 minutes? (a) 14.1 cm² (a) 14.1 cm² (c) 28.2 cm² (d) 37.7 cm² Correct Incorrect

#### 4. Question

If the length of the minute hand is 6 cm, what is the area swept by it in 15 minutes?

• (a) 14.1 cm²

• (a) 14.1 cm²

• (c) 28.2 cm²

• (d) 37.7 cm²

• Question 5 of 5 5. Question In an age obsessed with constant connectivity, solitude is increasingly misunderstood as loneliness or social withdrawal. Yet solitude, when chosen rather than imposed, serves as a vital space for mental clarity and inner renewal. It allows individuals to disengage from external noise and reorient themselves toward their own thoughts, values, and aspirations. Without such pauses, one’s identity becomes entangled with the expectations and judgments of others. However, modern life often crowds out these reflective moments with endless distractions—notifications, conversations, and pressures to be constantly available. As a result, people may remain surrounded by interactions yet feel strangely disconnected from themselves. Solitude is not an escape from life; it is a return to one’s center. Societies that dismiss its importance risk producing individuals who are hyper-connected yet internally fragmented, active yet unanchored. True emotional balance requires not just social bonds, but also the courage to be alone. Q. Which of the following best captures the central idea of the passage? (a) Spending time alone weakens social relationships and emotional stability. (b) Solitude, when embraced consciously, is essential for self-understanding and inner balance. (c) Modern connectivity has eliminated the need for solitude in daily life. (d) People should reduce social interactions to avoid psychological stress. Correct Answer: (b) Explanation: (b) is correct: The passage clearly states that solitude is a space for clarity, renewal, and inner grounding, and that it is essential for emotional balance. (a) is incorrect: The passage distinguishes solitude from loneliness and does not claim it weakens relationships. (c) is incorrect: The passage warns that modern life disrupts solitude, not replaces its importance. (d) is too extreme and not supported; the passage values both solitude and social bonds. Thus, (b) best summarizes the central theme. Incorrect Answer: (b) Explanation: (b) is correct: The passage clearly states that solitude is a space for clarity, renewal, and inner grounding, and that it is essential for emotional balance. (a) is incorrect: The passage distinguishes solitude from loneliness and does not claim it weakens relationships. (c) is incorrect: The passage warns that modern life disrupts solitude, not replaces its importance. (d) is too extreme and not supported; the passage values both solitude and social bonds. Thus, (b) best summarizes the central theme.

#### 5. Question

In an age obsessed with constant connectivity, solitude is increasingly misunderstood as loneliness or social withdrawal. Yet solitude, when chosen rather than imposed, serves as a vital space for mental clarity and inner renewal. It allows individuals to disengage from external noise and reorient themselves toward their own thoughts, values, and aspirations. Without such pauses, one’s identity becomes entangled with the expectations and judgments of others. However, modern life often crowds out these reflective moments with endless distractions—notifications, conversations, and pressures to be constantly available. As a result, people may remain surrounded by interactions yet feel strangely disconnected from themselves. Solitude is not an escape from life; it is a return to one’s center. Societies that dismiss its importance risk producing individuals who are hyper-connected yet internally fragmented, active yet unanchored. True emotional balance requires not just social bonds, but also the courage to be alone.

Q. Which of the following best captures the central idea of the passage?

• (a) Spending time alone weakens social relationships and emotional stability.

• (b) Solitude, when embraced consciously, is essential for self-understanding and inner balance.

• (c) Modern connectivity has eliminated the need for solitude in daily life.

• (d) People should reduce social interactions to avoid psychological stress.

Answer: (b)

Explanation:

(b) is correct: The passage clearly states that solitude is a space for clarity, renewal, and inner grounding, and that it is essential for emotional balance.

(a) is incorrect: The passage distinguishes solitude from loneliness and does not claim it weakens relationships.

(c) is incorrect: The passage warns that modern life disrupts solitude, not replaces its importance.

(d) is too extreme and not supported; the passage values both solitude and social bonds.

Thus, (b) best summarizes the central theme.

Answer: (b)

Explanation:

(b) is correct: The passage clearly states that solitude is a space for clarity, renewal, and inner grounding, and that it is essential for emotional balance.

(a) is incorrect: The passage distinguishes solitude from loneliness and does not claim it weakens relationships.

(c) is incorrect: The passage warns that modern life disrupts solitude, not replaces its importance.

(d) is too extreme and not supported; the passage values both solitude and social bonds.

Thus, (b) best summarizes the central theme.

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