UPSC Insta–DART (Daily Aptitude and Reasoning Test) 1 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).

#### 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 With reference to the above passage, the following assumptions have been made: I. Trust enhances cooperation among different stakeholders and lowers the cost of doing business. II. Countries with weak institutions cannot achieve entrepreneurial growth even if they provide financial incentives. 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 states that “trust reduces the cost of transactions, speeds up decision-making, and encourages collaboration,” directly validating this assumption. Assumption II is incorrect: Although weak institutions hinder trust, the passage does not assert that entrepreneurial growth is impossible in such settings—only that it becomes opportunistic or stagnant. The word “cannot” makes the assumption too absolute. Therefore, only Assumption I is valid, making option (a) correct. Incorrect Answer: (a) Explanation: Assumption I is correct: The passage explicitly states that “trust reduces the cost of transactions, speeds up decision-making, and encourages collaboration,” directly validating this assumption. Assumption II is incorrect: Although weak institutions hinder trust, the passage does not assert that entrepreneurial growth is impossible in such settings—only that it becomes opportunistic or stagnant. The word “cannot” makes the assumption too absolute. 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. Trust enhances cooperation among different stakeholders and lowers the cost of doing business. II. Countries with weak institutions cannot achieve entrepreneurial growth even if they provide financial incentives.

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 states that “trust reduces the cost of transactions, speeds up decision-making, and encourages collaboration,” directly validating this assumption. Assumption II is incorrect: Although weak institutions hinder trust, the passage does not assert that entrepreneurial growth is impossible in such settings—only that it becomes opportunistic or stagnant. The word “cannot” makes the assumption too absolute. Therefore, only Assumption I is valid, making option (a) correct.

Answer: (a)

• Question 2 of 5 2. Question A container is formed by surmounting a hemisphere on a right circular cylinder of the same radius as that of the hemisphere. If the volume of the container is 1863π m3 and the radius of the cylinder is 9 m, then find the height of the container. (a) 24 m (b) 32 m (c) 26 m (d) 28 m Correct Answer: c Volume of the container = Volume of the cylinder + Volume of the hemisphere Volume of the container = π 92h + (2/3) π 93 = 1863π = 81π (h + 6) = 1863π Solving we get h = 17 So the height of the container = 17 + 9 = 26 m Incorrect Answer: c Volume of the container = Volume of the cylinder + Volume of the hemisphere Volume of the container = π 92h + (2/3) π 93 = 1863π = 81π (h + 6) = 1863π Solving we get h = 17 So the height of the container = 17 + 9 = 26 m

#### 2. Question

A container is formed by surmounting a hemisphere on a right circular cylinder of the same radius as that of the hemisphere. If the volume of the container is 1863π m3 and the radius of the cylinder is 9 m, then find the height of the container.

Volume of the container = Volume of the cylinder + Volume of the hemisphere Volume of the container = π 92h + (2/3) π 93 = 1863π

= 81π (h + 6) = 1863π

Solving we get h = 17

So the height of the container = 17 + 9 = 26 m

Volume of the container = Volume of the cylinder + Volume of the hemisphere Volume of the container = π 92h + (2/3) π 93 = 1863π

= 81π (h + 6) = 1863π

Solving we get h = 17

So the height of the container = 17 + 9 = 26 m

• Question 3 of 5 3. Question In an 800 metre race, A beats B by 80 metres. In a 1000 metre race, B can give a start of 200 metres to C. By how much distance should A give a start to C so that A beats C by 160 metres in an 800 metre race? (a) 56 m (b) 60 m (c) 64 m (d) 72 m Correct Answer: (c) Solution: From 800 metres: A:B = 800:720 = 10:9. From 1000 metres: B:C = 1000:800 = 5:4. So A:B:C = 50:45:36. When A runs 800, C runs (36/50) × 800 = 576. To beat by 160, C should be at 640. Required start = 640 − 576 = 64 metres. Incorrect Answer: (c) Solution: From 800 metres: A:B = 800:720 = 10:9. From 1000 metres: B:C = 1000:800 = 5:4. So A:B:C = 50:45:36. When A runs 800, C runs (36/50) × 800 = 576. To beat by 160, C should be at 640. Required start = 640 − 576 = 64 metres.

#### 3. Question

In an 800 metre race, A beats B by 80 metres. In a 1000 metre race, B can give a start of 200 metres to C. By how much distance should A give a start to C so that A beats C by 160 metres in an 800 metre race?

Answer: (c)

Solution: From 800 metres: A:B = 800:720 = 10:9. From 1000 metres: B:C = 1000:800 = 5:4. So A:B:C = 50:45:36. When A runs 800, C runs (36/50) × 800 = 576. To beat by 160, C should be at 640. Required start = 640 − 576 = 64 metres.

Answer: (c)

• Question 4 of 5 4. Question By what least number should 392 be multiplied to obtain a perfect cube? (a) 2 (b) 7 (c) 14 (d) 28 Correct Answer: (b) Solution: Prime factorization of 392 = 2³ × 7². For a perfect cube, powers of all primes must be multiples of 3. Here, 2³ is already a cube, but 7² needs one more 7 to make 7³. Hence, multiply by 7. 392 × 7 = 2744 = 14³. Incorrect Answer: (b) Solution: Prime factorization of 392 = 2³ × 7². For a perfect cube, powers of all primes must be multiples of 3. Here, 2³ is already a cube, but 7² needs one more 7 to make 7³. Hence, multiply by 7. 392 × 7 = 2744 = 14³.

#### 4. Question

By what least number should 392 be multiplied to obtain a perfect cube?

Answer: (b) Solution: Prime factorization of 392 = 2³ × 7². For a perfect cube, powers of all primes must be multiples of 3. Here, 2³ is already a cube, but 7² needs one more 7 to make 7³. Hence, multiply by 7. 392 × 7 = 2744 = 14³.

• Question 5 of 5 5. Question Choose the group which is different from the others: (a) 64, 125, 216, 343 (b) 8, 27, 64, 125 (c) 1, 8, 27, 81 (d) 27, 64, 125, 216 Correct Answer: (c) Solution: Each group seems to represent cubes of natural numbers, check each: (a) 4³, 5³, 6³, 7³ → all perfect cubes. (b) 2³, 3³, 4³, 5³ → all perfect cubes. (c) 1³, 2³, 3³, 81 (not a cube, 81 = 3⁴) → one term not a cube. (d) 3³, 4³, 5³, 6³ → all perfect cubes. Hence, group (c) is different because 81 is not a perfect cube. Incorrect Answer: (c) Solution: Each group seems to represent cubes of natural numbers, check each: (a) 4³, 5³, 6³, 7³ → all perfect cubes. (b) 2³, 3³, 4³, 5³ → all perfect cubes. (c) 1³, 2³, 3³, 81 (not a cube, 81 = 3⁴) → one term not a cube. (d) 3³, 4³, 5³, 6³ → all perfect cubes. Hence, group (c) is different because 81 is not a perfect cube.

#### 5. Question

Choose the group which is different from the others:

• (a) 64, 125, 216, 343

• (b) 8, 27, 64, 125

• (c) 1, 8, 27, 81

• (d) 27, 64, 125, 216

Answer: (c) Solution: Each group seems to represent cubes of natural numbers, check each: (a) 4³, 5³, 6³, 7³ → all perfect cubes. (b) 2³, 3³, 4³, 5³ → all perfect cubes. (c) 1³, 2³, 3³, 81 (not a cube, 81 = 3⁴) → one term not a cube. (d) 3³, 4³, 5³, 6³ → all perfect cubes. Hence, group (c) is different because 81 is not a perfect cube.

• Official Facebook Page HERE

• Follow our Twitter Account HERE