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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeDirections for question (1 – 5): Study the following table to answer the questions that follow. Some values are missing. Study the table carefully and answer the questions based on data in table and particular questions.
Distance upstream = Distance downstream (if not stated)
Total time taken = Downstream time + Upstream timeOn Monday, if difference between the time taken by the boat to go upstream and the time taken by the boat to go downstream is 20 hours, find the total time taken by the boat to go upstream and downstream.
Correct
Solution: Given: 320/(a4) – 320/(a+4) = 20
Solve, a = 12 km/hr = speed of boat
So total time = 320/(124) + 320/(12+4) = 40 + 20 = 60 hoursIncorrect
Solution: Given: 320/(a4) – 320/(a+4) = 20
Solve, a = 12 km/hr = speed of boat
So total time = 320/(124) + 320/(12+4) = 40 + 20 = 60 hours 
Question 2 of 10
2. Question
1 pointsCategory: Quantitative AptitudeDirections for question (1 – 5): Study the following table to answer the questions that follow. Some values are missing. Study the table carefully and answer the questions based on data in table and particular questions.
Distance upstream = Distance downstream (if not stated)
Total time taken = Downstream time + Upstream timeOn Tuesday, if difference between the time taken by the boat to go upstream and the time taken by the boat to go downstream is 45 hours, find the total distance covered by the boat to go upstream and downstream. Downstream speed is 24 km/hr.
Correct
Solution: Let upstream distance = downstream distance = x km
Speed of boat = a km/hr, speed of stream = b km/hr
So x/(ab) + x/(a+b) = 75
2xa/(a^{2} – b^{2}) = 75 ……………..(1)
Also x/(ab) – x/(a+b) = 45
2xb/(a^{2} – b^{2}) = 45 ………………..(2)
Divide (1) by (2)
a/b = 5/3
3a – 5b = 0 ………………(3)
Also, a + b = 24 …………….(4)
Solve (3) and (4)
a = 15, b = 9
From x/(ab) + x/(a+b) = 75
Solve, x = 360 km
So total 720 kmIncorrect

Question 3 of 10
3. Question
1 pointsCategory: Quantitative AptitudeDirections for question (1 – 5): Study the following table to answer the questions that follow. Some values are missing. Study the table carefully and answer the questions based on data in table and particular questions.
Distance upstream = Distance downstream (if not stated)
Total time taken = Downstream time + Upstream timeOn Wednesday, if the boat covered half distance upstream with usual speed and other half with double its speed, then it takes 33 3/4 hours less time than usual time to go upstream. Find the total time taken by the boat to go upstream and downstream.
Correct
Solution:
Let speed of boat = a km/hr
So 270/(a6) – [135/(a6) + 135/(2a6)] = 33.75
270/(a6) – 135/(a6) – 135/(2a6) = 33.75
135/(a6) – 135/(2a6) = 33.75
1/(a6) – 1/(2a6) = 1/4
Solve, a = 9 and 2
Speed of stream = 6 km/hr, so speed of boat = 9 km/hr [speed of boat remains greater than speed of stream] So total time = 270/(96) + 270/(9+6) = 90 + 18 = 108 hoursIncorrect
Solution:
Let speed of boat = a km/hr
So 270/(a6) – [135/(a6) + 135/(2a6)] = 33.75
270/(a6) – 135/(a6) – 135/(2a6) = 33.75
135/(a6) – 135/(2a6) = 33.75
1/(a6) – 1/(2a6) = 1/4
Solve, a = 9 and 2
Speed of stream = 6 km/hr, so speed of boat = 9 km/hr [speed of boat remains greater than speed of stream] So total time = 270/(96) + 270/(9+6) = 90 + 18 = 108 hours 
Question 4 of 10
4. Question
1 pointsCategory: Quantitative AptitudeDirections for question (1 – 5): Study the following table to answer the questions that follow. Some values are missing. Study the table carefully and answer the questions based on data in table and particular questions.
Distance upstream = Distance downstream (if not stated)
Total time taken = Downstream time + Upstream timeOn Thursday, difference between time taken by the boat to cover ‘X’ km upstream and (X+120) km downstream is 26 hours. Had the boat covered same distance upstream as downstream, what would be the difference in time taken then?
Correct
Solution: Downstream speed = 11+7 = 18 km/hr
Upstream speed = 117 = 4 km/hr
X/4 – (X+120)/18 = 26
Solve, X = 168 km = Upstream distance
Downstream distance = 168+120 = 288 km
Required time now = 288/4 – 288/18 = 56 hoursIncorrect
Solution: Downstream speed = 11+7 = 18 km/hr
Upstream speed = 117 = 4 km/hr
X/4 – (X+120)/18 = 26
Solve, X = 168 km = Upstream distance
Downstream distance = 168+120 = 288 km
Required time now = 288/4 – 288/18 = 56 hours 
Question 5 of 10
5. Question
1 pointsCategory: Quantitative AptitudeDirections for question (1 – 5): Study the following table to answer the questions that follow. Some values are missing. Study the table carefully and answer the questions based on data in table and particular questions.
Distance upstream = Distance downstream (if not stated)
Total time taken = Downstream time + Upstream timeOn Friday, if ratio of speed of boat to speed of stream is 2 : 1, what is the difference between the time taken by the boat to go upstream and the time taken by the boat to go downstream?
Correct
Solution: Speeds = 2a, a
So 324/(2a+a) + 324/(2aa) = 72
Solve, a = 6.So speed of stream is 6 km/hr and speed of boat is 12 km/hr
So difference in time = 324/(126) – 324/(12+6) = 54 – 18 = 36 hoursIncorrect
Solution: Speeds = 2a, a
So 324/(2a+a) + 324/(2aa) = 72
Solve, a = 6.So speed of stream is 6 km/hr and speed of boat is 12 km/hr
So difference in time = 324/(126) – 324/(12+6) = 54 – 18 = 36 hours 
Question 6 of 10
6. Question
1 pointsCategory: Quantitative AptitudeRadhika started a workshop with an investment of Rs.40,000. She invested additional amount of Rs.10,000 every year. After two years her sister Rama joined her with an amount of Rs.85,000. Therefore, Rama did not invest any additional amount. On completion of 4 years from the opening of workshop they earned an amount of Rs.1,95,000. What will be Radhika’s share in the earning ?
Correct
Solution: Investment of Radhika = Rs. 40,000 +Rs. 50,000 +Rs. 60,000+Rs. 70,000 = Rs. 2,20,000
Investment of Rama = 85,000 * 2 = Rs. 1,70,000
Ratio = 22 : 17
Radhika’s share = (22/39 )*1,95,000 = Rs.1,10,000Incorrect

Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeThe circumference of a circular garden is 1320m.Find the area. Outside the garden , a road of 2m width runs around it .What is the area of this road and calculate the cost of gravelling it at the rate of 50 paise per sq. m .
Correct
Solution: Circumference of the garden = 2*pi*R = 1320
R= 210m
Outer radius = 210 +2= 212 m
Area of the road = pi*(212)^a – pi*(210)^2
= pi*422*2 = 2652.57 m^2
Therefore , cost of gravelling = 2652.57 * 0.5 = Rs.1326.285Incorrect
Solution: Circumference of the garden = 2*pi*R = 1320
R= 210m
Outer radius = 210 +2= 212 m
Area of the road = pi*(212)^a – pi*(210)^2
= pi*422*2 = 2652.57 m^2
Therefore , cost of gravelling = 2652.57 * 0.5 = Rs.1326.285 
Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeDirections for questions 810: Read the following paragraph and answer the questions that follow:
Fabric X has to go through tree stages of manufacturing, viz spinning, weaving and dyeing. In Rimal Fabic company, there are six spinning machines, ten weaving machines and five dyeing machines. Each machine work for 10 hrs day. One unit of fabric X needs 40 minutes on a spinning machine, 2 hours on a weaving machine and 30 minutes on a dyeing machine in order to completed. Similarly one unit of Fabric Y needs 60 minutes on a spinning machine, 30 minutes on a weaving machine and 60 minutes on a dyeing machine in order to be completed.
In a day, how many units of Fabric Y can be completed at most?
Correct
Solution: With respect to Fabric Y, 60 units can be made in 60 hours on the spinning machine, 200 units can be woven on the weaving machine and 50 units can be made on the dyeing machine. Since, only 50 units can be dyed, only 50 units can be completed in a day.
Incorrect
Solution: With respect to Fabric Y, 60 units can be made in 60 hours on the spinning machine, 200 units can be woven on the weaving machine and 50 units can be made on the dyeing machine. Since, only 50 units can be dyed, only 50 units can be completed in a day.

Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeDirections for questions 810: Read the following paragraph and answer the questions that follow:
Fabric X has to go through tree stages of manufacturing, viz spinning, weaving and dyeing. In Rimal Fabic company, there are six spinning machines, ten weaving machines and five dyeing machines. Each machine work for 10 hrs day. One unit of fabric X needs 40 minutes on a spinning machine, 2 hours on a weaving machine and 30 minutes on a dyeing machine in order to completed. Similarly one unit of Fabric Y needs 60 minutes on a spinning machine, 30 minutes on a weaving machine and 60 minutes on a dyeing machine in order to be completed.
If 20 units of Fabric Y are made in a day, how many units of Fabric X can be completed the same day?
Correct
Solution: 20 units of Fabric Y will consume 20 hours of spinning, 10 hours on weaving and 20 hours on dyeing. Capacity left will be 40 hours of spinning, 90 hours on weaving and 30 hours on dyeing. In this available time 60 units can be spun, 45 units can be woven and 60 units can be dyed. Hence, only 45 units of X can be completed after 20 units of Y are made.
Incorrect
Solution: 20 units of Fabric Y will consume 20 hours of spinning, 10 hours on weaving and 20 hours on dyeing. Capacity left will be 40 hours of spinning, 90 hours on weaving and 30 hours on dyeing. In this available time 60 units can be spun, 45 units can be woven and 60 units can be dyed. Hence, only 45 units of X can be completed after 20 units of Y are made.

Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeDirections for questions 810: Read the following paragraph and answer the questions that follow:
Fabric X has to go through tree stages of manufacturing, viz spinning, weaving and dyeing. In Rimal Fabic company, there are six spinning machines, ten weaving machines and five dyeing machines. Each machine work for 10 hrs day. One unit of fabric X needs 40 minutes on a spinning machine, 2 hours on a weaving machine and 30 minutes on a dyeing machine in order to completed. Similarly one unit of Fabric Y needs 60 minutes on a spinning machine, 30 minutes on a weaving machine and 60 minutes on a dyeing machine in order to be completed.
If only 30 units of Fabric Y are made in a day, how many machine hours will be idle that day?
Correct
Solution: 30 units of Y will consume (30+15+30)= 75 hours totally. 135 hours will remain idle.
Incorrect
Solution: 30 units of Y will consume (30+15+30)= 75 hours totally. 135 hours will remain idle.
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