UPSC Insta–DART (Daily Aptitude and Reasoning Test) 5 Nov 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 ratio of speed of boat in skill water and the current speed is 5:1 distance covered by boat in downstream speed and upstream speed is 120km. each find the speed of boat in skill water if total time taken boat in both downstream and upstream speed ids 10 hours. a) 25 km/hr b) 26 km/hr c) 24 km/hr d) 27 km/hr Correct Answer: A Explanation Let the speed of boat in skill water= 5x current speed =x downstream speed of boat =5x+x =6x upstream speed of boat =5x-x =4x 120/6x+120/4x= 10 20/x+30/x =10 x=5 speed of boat in still water =55 =25 km/hr Incorrect Answer: A Explanation Let the speed of boat in skill water= 5x current speed =x downstream speed of boat =5x+x =6x upstream speed of boat =5x-x =4x 120/6x+120/4x= 10 20/x+30/x =10 x=5 speed of boat in still water =55 =25 km/hr
#### 1. Question
The ratio of speed of boat in skill water and the current speed is 5:1 distance covered by boat in downstream speed and upstream speed is 120km. each find the speed of boat in skill water if total time taken boat in both downstream and upstream speed ids 10 hours.
• a) 25 km/hr
• b) 26 km/hr
• c) 24 km/hr
• d) 27 km/hr
Explanation
Let the speed of boat in skill water= 5x current speed =x downstream speed of boat =5x+x =6x upstream speed of boat =5x-x =4x 120/6x+120/4x= 10 20/x+30/x =10 x=5 speed of boat in still water =5*5 =25 km/hr
Explanation
Let the speed of boat in skill water= 5x current speed =x downstream speed of boat =5x+x =6x upstream speed of boat =5x-x =4x 120/6x+120/4x= 10 20/x+30/x =10 x=5 speed of boat in still water =5*5 =25 km/hr
• Question 2 of 5 2. Question A boat takes 20 hours to cover 400 km in upstream and 12 hours to cover 480 km in downstream. Speed of boat in still water is how much percent more than speed of stream ? a) 150 % b) 200 % c) 50 % d) 100% Correct Answer: B Explanation upstream speed of boat=400/20=20 km/hr downstream speed of boat=480/12=40 km/hr speed of boat in still water=40+20/2=30 km/hr speed of current=40-20/2=10 km/hr percentage=30-10/10100=200% Incorrect Answer: B Explanation upstream speed of boat=400/20=20 km/hr downstream speed of boat=480/12=40 km/hr speed of boat in still water=40+20/2=30 km/hr speed of current=40-20/2=10 km/hr percentage=30-10/10100=200%
#### 2. Question
A boat takes 20 hours to cover 400 km in upstream and 12 hours to cover 480 km in downstream. Speed of boat in still water is how much percent more than speed of stream ?
Explanation
upstream speed of boat=400/20=20 km/hr downstream speed of boat=480/12=40 km/hr speed of boat in still water=40+20/2=30 km/hr speed of current=40-20/2=10 km/hr percentage=30-10/10*100=200%
Explanation
upstream speed of boat=400/20=20 km/hr downstream speed of boat=480/12=40 km/hr speed of boat in still water=40+20/2=30 km/hr speed of current=40-20/2=10 km/hr percentage=30-10/10*100=200%
• Question 3 of 5 3. Question The speed of boat in still water is 18 km/hr and current speed is 6 km/hr. If time taken by boat to cover certain distance both downstream and upstream is 12 hours. Find the distance. a) 90 km b) 106 km c) 96 km d) 76 km Correct Answer: C Explanation speed of boat in still water=18 speed of current=6 downstream speed of boat=18+6=24 upstream speed of boat=18-6=12 let distance be D km D/24+D/12=12 D=96 km Incorrect Answer: C Explanation speed of boat in still water=18 speed of current=6 downstream speed of boat=18+6=24 upstream speed of boat=18-6=12 let distance be D km D/24+D/12=12 D=96 km
#### 3. Question
The speed of boat in still water is 18 km/hr and current speed is 6 km/hr. If time taken by boat to cover certain distance both downstream and upstream is 12 hours. Find the distance.
Explanation
speed of boat in still water=18 speed of current=6 downstream speed of boat=18+6=24 upstream speed of boat=18-6=12 let distance be D km D/24+D/12=12 D=96 km
Explanation
speed of boat in still water=18 speed of current=6 downstream speed of boat=18+6=24 upstream speed of boat=18-6=12 let distance be D km D/24+D/12=12 D=96 km
• Question 4 of 5 4. Question Two stations P and Q are at a distance of 225 km. Train A starts running from station P and train B starts running from station Q respectively and meet each other after 3 hours. If the speed of train A is 5 km/hr more than the speed of train B, then find speed of train A ? a) 40 km/hr b) 30 km/hr c) 25 km/hr d) 35 km/hr Correct Answer: D Explanation Let speed of train B = x km/hr speed of train A = (x + 5) km/hr total distance = 225 km 225/(x + 5 + x) = 3 225 = 6x + 15 x = 35 km/hr Incorrect Answer: D Explanation Let speed of train B = x km/hr speed of train A = (x + 5) km/hr total distance = 225 km 225/(x + 5 + x) = 3 225 = 6x + 15 x = 35 km/hr
#### 4. Question
Two stations P and Q are at a distance of 225 km. Train A starts running from station P and train B starts running from station Q respectively and meet each other after 3 hours. If the speed of train A is 5 km/hr more than the speed of train B, then find speed of train A ?
• a) 40 km/hr
• b) 30 km/hr
• c) 25 km/hr
• d) 35 km/hr
Explanation
Let speed of train B = x km/hr speed of train A = (x + 5) km/hr total distance = 225 km 225/(x + 5 + x) = 3 225 = 6x + 15 x = 35 km/hr
Explanation
Let speed of train B = x km/hr speed of train A = (x + 5) km/hr total distance = 225 km 225/(x + 5 + x) = 3 225 = 6x + 15 x = 35 km/hr
• Question 5 of 5 5. Question 180m length of train crosses a platform at speed of 90 km/hr in 12 sec. Another train ar speed of 144 km/hr crosses same platform in 8 seconds. What is length of the other train ? a) 2225 m b) 200 m c) 175 m d) 215 m Correct Answer: B Explanation Speed of train = 90 5 / 18 = 25 m/sec let length of platform = x x + 180/25 = 12 x = 300 – 180 = 120 m let length another train = y speed of other train = 144 5/18 = 40 m/sec y + 120/40 = 8 y = 320 – 120 = 200m Incorrect Answer: B Explanation Speed of train = 90 5 / 18 = 25 m/sec let length of platform = x x + 180/25 = 12 x = 300 – 180 = 120 m let length another train = y speed of other train = 144 5/18 = 40 m/sec y + 120/40 = 8 y = 320 – 120 = 200m
#### 5. Question
180m length of train crosses a platform at speed of 90 km/hr in 12 sec. Another train ar speed of 144 km/hr crosses same platform in 8 seconds. What is length of the other train ?
Explanation
Speed of train = 90 5 / 18 = 25 m/sec let length of platform = x x + 180/25 = 12 x = 300 – 180 = 120 m let length another train = y speed of other train = 144 5/18 = 40 m/sec y + 120/40 = 8 y = 320 – 120 = 200m
Explanation
Speed of train = 90 5 / 18 = 25 m/sec let length of platform = x x + 180/25 = 12 x = 300 – 180 = 120 m let length another train = y speed of other train = 144 5/18 = 40 m/sec y + 120/40 = 8 y = 320 – 120 = 200m
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