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UPSC Insta–DART (Daily Aptitude and Reasoning Test) 3 Oct 2024

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 Pipe A can fill a tank in 12 hours and another pipe B can fill it in 16 hours. Both the pipes are opened together at 10 a.m. and pipe B is turned off after some time. The tank is filled at 7 p.m., and then finds the time at which the pipe B turned off? a) 12 p.m. b) 1:00 p.m. c) 2:00 p.m. d) 2:30 p.m. Correct Answer: Option (c) Explanation: Pipe A = 12 hours Pipe B = 16 hours LCM = 48 units Efficiency Pipe A = 4 Pipe B = 3 T ank filled in 9 hours. As per question, Pipe A worked for all the time. Let Pipe B work = x 4×9 + 3×x = 48 36+3x = 48 3x = 12 x = 4 hours Time = 2 p.m. Hence, option (c) is the correct answer. Incorrect Answer: Option (c) Explanation: Pipe A = 12 hours Pipe B = 16 hours LCM = 48 units Efficiency Pipe A = 4 Pipe B = 3 T ank filled in 9 hours. As per question, Pipe A worked for all the time. Let Pipe B work = x 4×9 + 3×x = 48 36+3x = 48 3x = 12 x = 4 hours Time = 2 p.m. Hence, option (c) is the correct answer.

#### 1. Question

A Pipe A can fill a tank in 12 hours and another pipe B can fill it in 16 hours. Both the pipes are opened together at 10 a.m. and pipe B is turned off after some time. The tank is filled at 7 p.m., and then finds the time at which the pipe B turned off?

• a) 12 p.m.

• b) 1:00 p.m.

• c) 2:00 p.m.

• d) 2:30 p.m.

Answer: Option (c)

Explanation:

Pipe A = 12 hours

Pipe B = 16 hours

LCM = 48 units

Efficiency

Pipe A = 4

Pipe B = 3 T

ank filled in 9 hours.

As per question, Pipe A worked for all the time.

Let Pipe B work = x 4×9 + 3×x = 48

36+3x = 48

x = 4 hours

Time = 2 p.m. Hence, option (c) is the correct answer.

Answer: Option (c)

Explanation:

Pipe A = 12 hours

Pipe B = 16 hours

LCM = 48 units

Efficiency

Pipe A = 4

Pipe B = 3 T

ank filled in 9 hours.

As per question, Pipe A worked for all the time.

Let Pipe B work = x 4×9 + 3×x = 48

36+3x = 48

x = 4 hours

Time = 2 p.m. Hence, option (c) is the correct answer.

• Question 2 of 5 2. Question Regarding thermobaric weapons, consider the following statements: They use the atmosphere’s oxygen to fuel the explosion, creating a powerful blast. These weapons are specifically banned under the Hague Conventions. They are most effective in open fields with large target areas. How many of the above statements is/are correct? a) Only one b) Only two c) All three d) None Correct Solution: a) Statement 1 is correct. Thermobaric weapons use the oxygen from the atmosphere to fuel an explosion, resulting in a high-temperature blast. However, statement 2 is incorrect, as thermobaric weapons are not specifically banned under the Hague Conventions, although targeting civilians could violate humanitarian laws. Statement 3 is incorrect because thermobaric weapons are most effective in enclosed spaces like buildings or tunnels, where the pressure wave can have a devastating effect. Incorrect Solution: a) Statement 1 is correct. Thermobaric weapons use the oxygen from the atmosphere to fuel an explosion, resulting in a high-temperature blast. However, statement 2 is incorrect, as thermobaric weapons are not specifically banned under the Hague Conventions, although targeting civilians could violate humanitarian laws. Statement 3 is incorrect because thermobaric weapons are most effective in enclosed spaces like buildings or tunnels, where the pressure wave can have a devastating effect.

#### 2. Question

Regarding thermobaric weapons, consider the following statements:

• They use the atmosphere’s oxygen to fuel the explosion, creating a powerful blast.

• These weapons are specifically banned under the Hague Conventions.

• They are most effective in open fields with large target areas.

How many of the above statements is/are correct?

• a) Only one

• b) Only two

• c) All three

Solution: a)

Statement 1 is correct. Thermobaric weapons use the oxygen from the atmosphere to fuel an explosion, resulting in a high-temperature blast.

However, statement 2 is incorrect, as thermobaric weapons are not specifically banned under the Hague Conventions, although targeting civilians could violate humanitarian laws.

Statement 3 is incorrect because thermobaric weapons are most effective in enclosed spaces like buildings or tunnels, where the pressure wave can have a devastating effect.

Solution: a)

Statement 1 is correct. Thermobaric weapons use the oxygen from the atmosphere to fuel an explosion, resulting in a high-temperature blast.

However, statement 2 is incorrect, as thermobaric weapons are not specifically banned under the Hague Conventions, although targeting civilians could violate humanitarian laws.

Statement 3 is incorrect because thermobaric weapons are most effective in enclosed spaces like buildings or tunnels, where the pressure wave can have a devastating effect.

• Question 3 of 5 3. Question Two pipes, Pipe X and Pipe Y can empty a cistern in 24 hours and 40 hours respectively while working alone. If both pipes are opened together, then the time taken to empty the cistern is given by a) 12 hours b) 13 hours c) 14 hours d) 15 hours Correct Answer: Option (d) Explanation: Pipe X = -1/24 pipe Y = -1/40 = -1/24 – 1/40 = -1/15 = 15 hours (- ve sign denotes negative work) Hence, option (d) is the correct answer. Incorrect Answer: Option (d) Explanation: Pipe X = -1/24 pipe Y = -1/40 = -1/24 – 1/40 = -1/15 = 15 hours (- ve sign denotes negative work) Hence, option (d) is the correct answer.

#### 3. Question

Two pipes, Pipe X and Pipe Y can empty a cistern in 24 hours and 40 hours respectively while working alone. If both pipes are opened together, then the time taken to empty the cistern is given by

• a) 12 hours

• b) 13 hours

• c) 14 hours

• d) 15 hours

Answer: Option (d)

Explanation:

Pipe X = -1/24

pipe Y = -1/40

= -1/24 – 1/40

= 15 hours (- ve sign denotes negative work) Hence, option (d) is the correct answer.

Answer: Option (d)

Explanation:

Pipe X = -1/24

pipe Y = -1/40

= -1/24 – 1/40

= 15 hours (- ve sign denotes negative work) Hence, option (d) is the correct answer.

• Question 4 of 5 4. Question Consider the following statements about the Bagmati River: It originates in the Shivapuri Hills of Nepal. It flows through the Indian states of Bihar and Uttar Pradesh. The river has cultural significance and is home to the Pashupatinath Temple. Which of the statements given above is/are correct? a) Only one b) Only two c) All three d) None Correct Solution: b) Statements 1 and 3 are correct. The Bagmati River originates in the Shivapuri Hills of Nepal and holds significant cultural value as it is home to the Pashupatinath Temple in Kathmandu. However, statement 2 is incorrect because the river only flows through Bihar in India, not Uttar Pradesh. Incorrect Solution: b) Statements 1 and 3 are correct. The Bagmati River originates in the Shivapuri Hills of Nepal and holds significant cultural value as it is home to the Pashupatinath Temple in Kathmandu. However, statement 2 is incorrect because the river only flows through Bihar in India, not Uttar Pradesh.

#### 4. Question

Consider the following statements about the Bagmati River:

• It originates in the Shivapuri Hills of Nepal.

• It flows through the Indian states of Bihar and Uttar Pradesh.

• The river has cultural significance and is home to the Pashupatinath Temple.

Which of the statements given above is/are correct?

• a) Only one

• b) Only two

• c) All three

Solution: b)

Statements 1 and 3 are correct. The Bagmati River originates in the Shivapuri Hills of Nepal and holds significant cultural value as it is home to the Pashupatinath Temple in Kathmandu.

However, statement 2 is incorrect because the river only flows through Bihar in India, not Uttar Pradesh.

Solution: b)

Statements 1 and 3 are correct. The Bagmati River originates in the Shivapuri Hills of Nepal and holds significant cultural value as it is home to the Pashupatinath Temple in Kathmandu.

However, statement 2 is incorrect because the river only flows through Bihar in India, not Uttar Pradesh.

• Question 5 of 5 5. Question The respective ratio between the speed of a car, a train, and a bus is 4 : 10 : 6.The average speed of the car , the bus and the train is 72 km/hr together. What is the average speed of the car and the train together? a) 75.6 km/h b) 82 km/h c) 72 km/h d) 67 km/h Correct Answer: Option (a) Explanation: Let speed of the car, the train, and the bus be 4a Km/hr , 10a Km/hr and 6a Km/hr respectively Given: total speed = (72 × 3) Km/hr = 216 Km/hr ⇒4a + 10a + 6a = 216 ⇒20a = 216 ⇒ a = 10.8 Km/hr ⇒ speed of car = 4 × 10.8 = 43.2 Km/hr And, speed of train = 10 × 10.8 = 108 Km/hr ⇒ their average speed = (43.2 + 108) / 2 = 75.6 Km/hr Hence, option (a) is the correct answer. Incorrect Answer: Option (a) Explanation: Let speed of the car, the train, and the bus be 4a Km/hr , 10a Km/hr and 6a Km/hr respectively Given: total speed = (72 × 3) Km/hr = 216 Km/hr ⇒4a + 10a + 6a = 216 ⇒20a = 216 ⇒ a = 10.8 Km/hr ⇒ speed of car = 4 × 10.8 = 43.2 Km/hr And, speed of train = 10 × 10.8 = 108 Km/hr ⇒ their average speed = (43.2 + 108) / 2 = 75.6 Km/hr Hence, option (a) is the correct answer.

#### 5. Question

The respective ratio between the speed of a car, a train, and a bus is 4 : 10 : 6.The average speed of the car , the bus and the train is 72 km/hr together. What is the average speed of the car and the train together?

• a) 75.6 km/h

• b) 82 km/h

• c) 72 km/h

• d) 67 km/h

Answer: Option (a)

Explanation:

Let speed of the car, the train, and the bus be 4a Km/hr , 10a Km/hr and 6a Km/hr respectively

total speed = (72 × 3) Km/hr = 216 Km/hr

⇒4a + 10a + 6a = 216

⇒20a = 216

⇒ a = 10.8 Km/hr

⇒ speed of car = 4 × 10.8 = 43.2 Km/hr

And, speed of train = 10 × 10.8 = 108 Km/hr

⇒ their average speed = (43.2 + 108) / 2 = 75.6 Km/hr Hence, option (a) is the correct answer.

Answer: Option (a)

Explanation:

Let speed of the car, the train, and the bus be 4a Km/hr , 10a Km/hr and 6a Km/hr respectively

total speed = (72 × 3) Km/hr = 216 Km/hr

⇒4a + 10a + 6a = 216

⇒20a = 216

⇒ a = 10.8 Km/hr

⇒ speed of car = 4 × 10.8 = 43.2 Km/hr

And, speed of train = 10 × 10.8 = 108 Km/hr

⇒ their average speed = (43.2 + 108) / 2 = 75.6 Km/hr Hence, option (a) is the correct answer.

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