UPSC Insta–DART (Daily Aptitude and Reasoning Test) 26 Dec 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 The wheel of a car has 210 cm diameter. How many revolutions per minute must the wheel make so that the speed of the car is kept at 120 km/h? a) 326.42 b) 245 c) 303.03 d) 289 Correct Answer: C Explanation One revolution= 2πr= 222/7210/2 =2230 Diameter of wheel = 210 cm Speed of car = 120 km/h Distance covered by car in 1 hour = 120 km i.e. in 60 min distance covered = 12000000cm In 1 min distance covered =12000000/60 = 200000cm Number of revolution taken by when per minute to cover 200000 cm = (200000)/ (2230)=303.0303 Incorrect Answer: C Explanation One revolution= 2πr= 222/7210/2 =2230 Diameter of wheel = 210 cm Speed of car = 120 km/h Distance covered by car in 1 hour = 120 km i.e. in 60 min distance covered = 12000000cm In 1 min distance covered =12000000/60 = 200000cm Number of revolution taken by when per minute to cover 200000 cm = (200000)/ (2230)=303.0303
#### 1. Question
The wheel of a car has 210 cm diameter. How many revolutions per minute must the wheel make so that the speed of the car is kept at 120 km/h?
Explanation
One revolution= 2πr= 222/7210/2 =22*30
Diameter of wheel = 210 cm
Speed of car = 120 km/h
Distance covered by car in 1 hour = 120 km i.e. in 60 min distance covered = 12000000cm
In 1 min distance covered =12000000/60 = 200000cm
Number of revolution taken by when per minute to cover 200000 cm = (200000)/ (22*30)=303.0303
Explanation
One revolution= 2πr= 222/7210/2 =22*30
Diameter of wheel = 210 cm
Speed of car = 120 km/h
Distance covered by car in 1 hour = 120 km i.e. in 60 min distance covered = 12000000cm
In 1 min distance covered =12000000/60 = 200000cm
Number of revolution taken by when per minute to cover 200000 cm = (200000)/ (22*30)=303.0303
• Question 2 of 5 2. Question The area of a square field is 7200 m2. What is the length of its diagonal? a) 60 m b) 1800 m c) 180 m d) 120 m Correct Answer: D Explanation Area of square a2 = 7200; a=60√2 Length of the diagonal =√2 a =>60√2 √2 =>60 2 =120 Incorrect Answer: D Explanation Area of square a2 = 7200; a=60√2 Length of the diagonal =√2 a =>60√2 √2 =>60 2 =120
#### 2. Question
The area of a square field is 7200 m2. What is the length of its diagonal?
Explanation
Area of square a2 = 7200; a=60√2
Length of the diagonal =√2 a =>60√2 √2 =>60 2 =120
Explanation
Area of square a2 = 7200; a=60√2
Length of the diagonal =√2 a =>60√2 √2 =>60 2 =120
• Question 3 of 5 3. Question Consider the following pairs. Green Ammonia: Made from sustainable electricity and water Blue Ammonia: Made without using any fossil fuel Brown Ammonia: Made from a fossil fuel with carbon capture How many of the above statements is/are correct? a) Only one b) Only two c) All three d) None Correct Solution: a) Only Statement 1 is correct. Incorrect Solution: a) Only Statement 1 is correct.
#### 3. Question
Consider the following pairs.
• Green Ammonia: Made from sustainable electricity and water
• Blue Ammonia: Made without using any fossil fuel
• Brown Ammonia: Made from a fossil fuel with carbon capture
How many of the above statements is/are correct?
• a) Only one
• b) Only two
• c) All three
Solution: a)
Only Statement 1 is correct.
Solution: a)
Only Statement 1 is correct.
• Question 4 of 5 4. Question The volume of a tank is 72 cubic meters. Water is poured into it at the rate of 60 litres per minute. How much time will it take to fill the tank? a) 6 hours b) 20 hours c) 12 hours d) 10hours Correct Answer: B Explanation Volume of tank = 72 cubic meter = 72000 litre Rate of filling = 60 litre per min =>6060 litres per hour Required time =72000/ (6060) = 20 hours Incorrect Answer: B Explanation Volume of tank = 72 cubic meter = 72000 litre Rate of filling = 60 litre per min =>6060 litres per hour Required time =72000/ (6060) = 20 hours
#### 4. Question
The volume of a tank is 72 cubic meters. Water is poured into it at the rate of 60 litres per minute. How much time will it take to fill the tank?
• a) 6 hours
• b) 20 hours
• c) 12 hours
• d) 10hours
Explanation
Volume of tank = 72 cubic meter = 72000 litre
Rate of filling = 60 litre per min =>60*60 litres per hour
Required time =72000/ (60*60) = 20 hours
Explanation
Volume of tank = 72 cubic meter = 72000 litre
Rate of filling = 60 litre per min =>60*60 litres per hour
Required time =72000/ (60*60) = 20 hours
• Question 5 of 5 5. Question The diameter of a wheel is 49 cm. The number of revolutions in which it will have to cover a distance of 770 m, is: A. 400 B. 600 C. 700 D. 500 Correct Answer: D Explanation Radius of wheel= 49/200m Circumference of circle (One revolution)= 2πr = 2 22/7 49/200 =227/100 Number of revolution= 770/ (22 7/100) = 77000/227 = 500 Incorrect Answer: D Explanation Radius of wheel= 49/200m Circumference of circle (One revolution)= 2πr = 2 22/7 49/200 =227/100 Number of revolution= 770/ (22 7/100) = 77000/227 = 500
#### 5. Question
The diameter of a wheel is 49 cm. The number of revolutions in which it will have to cover a distance of 770 m, is:
Explanation
Radius of wheel= 49/200m
Circumference of circle (One revolution)= 2πr = 2 22/7 49/200 =22*7/100
Number of revolution= 770/ (22 7/100) = 77000/227 = 500
Explanation
Radius of wheel= 49/200m
Circumference of circle (One revolution)= 2πr = 2 22/7 49/200 =22*7/100
Number of revolution= 770/ (22 7/100) = 77000/227 = 500
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