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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeDirections for Question 15: Study the following figures and and asnwer the questions that follow:
Capacity utilisation was/will be the maximum in which of the following years, and how much % is wasted in that particular year?
Correct
Solution: It is very clear from the graph that for 200102, the capacity utilisation is maximum as the difference between Installed capacity and production is least hence minimum waste i.e. = (1702 1523)/1702*100= 10.52%
Incorrect
Solution: It is very clear from the graph that for 200102, the capacity utilisation is maximum as the difference between Installed capacity and production is least hence minimum waste i.e. = (1702 1523)/1702*100= 10.52%

Question 2 of 10
2. Question
1 pointsCategory: Quantitative AptitudeDirections for Question 15: Study the following figures and and asnwer the questions that follow:
In which year production as a percentage of installed capacity will be the least/was the least?
Correct
Solution: Production/Installed Capacity*100 in 200001= 80.08%, in 200102=89.48%, in 200203=87.42%, in 200304= 78.49%, in 200405= 84.3% hence the least % among all is 78.49% which is in year 200304.
Incorrect
Solution: Production/Installed Capacity*100 in 200001= 80.08%, in 200102=89.48%, in 200203=87.42%, in 200304= 78.49%, in 200405= 84.3% hence the least % among all is 78.49% which is in year 200304.

Question 3 of 10
3. Question
1 pointsCategory: Quantitative AptitudeDirections for Question 15: Study the following figures and and asnwer the questions that follow:
The installed capacity of HP (in ‘000 tonnes) in 200304 is expected to be? (Assume the same share of capacity for HP as it had in 200102)
Correct
Solution: Capacity of HP in 200102 = 4% assuming same capacity for 200304, then 4% of installed capacity of HP= 4% of 1893 = 76
Incorrect
Solution: Capacity of HP in 200102 = 4% assuming same capacity for 200304, then 4% of installed capacity of HP= 4% of 1893 = 76

Question 4 of 10
4. Question
1 pointsCategory: Quantitative AptitudeDirections for Question 15: Study the following figures and and asnwer the questions that follow:
If, when consumption is more than the production, the government has to import shortfall, find what percentage of consumption will be required to be imported in 200304?
Correct
Solution: Percentage of consumption that will be required to be imported in 200304 is (15761486)/1576*100 = 5.77%
Incorrect
Solution: Percentage of consumption that will be required to be imported in 200304 is (15761486)/1576*100 = 5.77%

Question 5 of 10
5. Question
1 pointsCategory: Quantitative AptitudeDirections for Question 15: Study the following figures and and asnwer the questions that follow:
If TC will double its installed capacity of 2003 04 in the years 200506, what would be the installed capacity of the industry in 200506? (Assume that no other manufacturer adds to their capacity in 2005 06.) (Assume that TC had a 46% share in 2003 04)
Correct
Solution: In 200304, TC has a capacity of 46% of 1893= 870.78 which increases to 1741.56 in 200506. So installed capacity remaining in 200304= 1022.92. Hence capacity in 200506 = 1022.92+ 1741.56 = 2763
Incorrect
Solution: In 200304, TC has a capacity of 46% of 1893= 870.78 which increases to 1741.56 in 200506. So installed capacity remaining in 200304= 1022.92. Hence capacity in 200506 = 1022.92+ 1741.56 = 2763

Question 6 of 10
6. Question
1 pointsCategory: Quantitative AptitudeDirection for Question 68: In the following question, two statements are numbered as I and II. On solving these statements you get Quantity I and Quantity II respectively. Solve for both the statements individually and mark the correct answer.
Quantity I: Two trains foe Howrah leave Muzaffarpur at 8.30 a.m. and 9.00 a.m. respectively and travel at 60 km/h and 70 km/h respectively. How many kilometres from Muzaffarpur will the two trains meet?
Quantity II: X and Y are two stations 600 km apart. A train starts from X and moves towards Y at the rate of 25 km/h. Another train starts from Y at the rate of 35 km/h. How far from X they will cross each other?Correct
Solution: Quantity I, when the second train leaves Muzaffarpur, the first train would have already travelled 30 km. Now, after 9AM, the relative speed of the two trains would be 10 km/h. Since the faster train has to catch up a relative distance of 30 km in order for the trains to meet, it would take 30/10 =3 hours to catch up. Therefore distance from Muzaffarpur = 70*3=210km and Quantity II, The distance would get divided into ratio of speeds (since time is constant). Thus the distance ratio would be 5:7 and required distance = 5/12*600 = 250 km. Hence, Quantity I < Quantity II
Incorrect
Solution: Quantity I, when the second train leaves Muzaffarpur, the first train would have already travelled 30 km. Now, after 9AM, the relative speed of the two trains would be 10 km/h. Since the faster train has to catch up a relative distance of 30 km in order for the trains to meet, it would take 30/10 =3 hours to catch up. Therefore distance from Muzaffarpur = 70*3=210km and Quantity II, The distance would get divided into ratio of speeds (since time is constant). Thus the distance ratio would be 5:7 and required distance = 5/12*600 = 250 km. Hence, Quantity I < Quantity II

Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeDirection for Question 68: In the following question, two statements are numbered as I and II. On solving these statements you get Quantity I and Quantity II respectively. Solve for both the statements individually and mark the correct answer.
Quantity I: A vessel is full of refined oil. ¼ of the refined oil is taken out and the vessel is filled with the mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?
Quantity II: A dishonest milkman purchased milk at Rs. 10 per litre and mixed 5 litres of water in it. By selling the mixture at the rate of Rs. 10 per litre he earns a profit of 25%. The quantity of the amount of the mixture that he had used was?Correct
Solution: Quantity I, Let the quantity of refined oil initially be Q. Then we have Q*3/4*3/4*3/4*3/4= 10, therefore Q= 2560/81 ~ 31.6 litres. Quantity II, The cost price of the mixture would have been Rs. 8 per litre for him to get a profit of 25% by selling at Rs.10 per litre. The ratio of mixing would have been = (108)/ (80) = 1:4. Since we are putting in 5 litre of water, the amount of milk must be 20 litres. The amount of mixture than would become 25 litres. Hence, Quantity I > Quantity II
Incorrect
Solution: Quantity I, Let the quantity of refined oil initially be Q. Then we have Q*3/4*3/4*3/4*3/4= 10, therefore Q= 2560/81 ~ 31.6 litres. Quantity II, The cost price of the mixture would have been Rs. 8 per litre for him to get a profit of 25% by selling at Rs.10 per litre. The ratio of mixing would have been = (108)/ (80) = 1:4. Since we are putting in 5 litre of water, the amount of milk must be 20 litres. The amount of mixture than would become 25 litres. Hence, Quantity I > Quantity II

Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeDirection for Question 68: In the following question, two statements are numbered as I and II. On solving these statements you get Quantity I and Quantity II respectively. Solve for both the statements individually and mark the correct answer.
Quantity I: In the university examination last year, Rajesh scored 65% in English and 82% in History. What is the minimum percent he should score in Sociology, which is out of 50 marks (if English and History were for 100 marks each), if he aims at getting 78% overall?
Quantity II: In a town consisting of three localities A, B and C, the population of the three localities A, B and C are in the ratio 9:8:3. In locality A, 80% of the people are literate, in locality B, 30% of the people are illiterate. If 90% people in locality C are literate, find the percentage literacy in that town?Correct
Solution: Quantity I, Rajesh’s scores in each area is 65 and 82 respectively out of 100 each. Since, the exam is of a total of 250 marks he needs a total of 195 marks in order to get his target of 78% overall. Thus, he should score 1956582= 195147=48 marks in sociology which would mean 96%. Quantity II, The total population of the town can be taken as 9+ 8 + 3= 20. The number of literates would be: 80% of 9 + 70% of 8 + 90% of 3= 7.2 + 5.6 + 2.7 = 15.5. i.e. 15.5 out of 20 represents a 77.5% literacy rate. Hence, Quantity I > Quantity II
Incorrect
Solution: Quantity I, Rajesh’s scores in each area is 65 and 82 respectively out of 100 each. Since, the exam is of a total of 250 marks he needs a total of 195 marks in order to get his target of 78% overall. Thus, he should score 1956582= 195147=48 marks in sociology which would mean 96%. Quantity II, The total population of the town can be taken as 9+ 8 + 3= 20. The number of literates would be: 80% of 9 + 70% of 8 + 90% of 3= 7.2 + 5.6 + 2.7 = 15.5. i.e. 15.5 out of 20 represents a 77.5% literacy rate. Hence, Quantity I > Quantity II

Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeTwo vessels contain a mixture of spirit and water. In the first vessel the ratio of spirit to water is 8: 3 and in the second vessel the ratio is 5: 1. A 35 litre cask is filled from these vessels so as to contain a mixture of spirit and water in the ratio of 4:1. How many litres are taken from the first vessel?
Correct
Solution: Solving through the option is the best way to tackle this question. Option (a) fits the condition of the problem as if there are 11 litres in the first vessel, there would be 8 litres of spirit. Also it means that we would be taking 24 litres from the second vessel out of which there would be 20 litres of spirit. Thus, total spirit would be 28 out of 35 litres giving us 7 litres of water.
Incorrect
Solution: Solving through the option is the best way to tackle this question. Option (a) fits the condition of the problem as if there are 11 litres in the first vessel, there would be 8 litres of spirit. Also it means that we would be taking 24 litres from the second vessel out of which there would be 20 litres of spirit. Thus, total spirit would be 28 out of 35 litres giving us 7 litres of water.

Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeThree bells ring at intervals of 5 seconds, 6 seconds and 7 seconds respectively. If they toll together for the first time at 9 AM in the morning, after what interval of time will they together ring for the second time.
Correct
Solution: They would ring together again after a time interval which would be the LCM of 5, 6 and 7. Since, the LCM is 210, they would ring for the second time after 2*210= 420 sec.
Incorrect
Solution: They would ring together again after a time interval which would be the LCM of 5, 6 and 7. Since, the LCM is 210, they would ring for the second time after 2*210= 420 sec.
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