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Quantitative Aptitude-Workbook
Data Sufficiency Model 1 Directions: Each of the questions given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/ are sufficient to answer the given question. Read both the statements and Give answer 1) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. Give answer 2) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question. Give answer 3) if the data either in Statement I or in Statement II alone are sufficient to answer the question. Give answer 4) if the data even in both Statements I and II together are not sufficient to answer the question. Give answer 5) if the data in both Statements I and II together are necessary to answer the questions. 1. What is the two digit number? I.
The sum of the two digits is 8. The ratio of the two digits is 1:3
II.
The product of the two digits of a number is 12. The quotient of two digits is 3
2. What is the sum which earned interest? I.
The total simple interest was ` 7000 after 7 years.
II. The total of sum and simple interest was double of the sum after 5 years. 3. What is Reena’s present age? I.
Reena’s present age is 5 times her son’s present age
II. Reena’s age two years hence will be three times her daughter’s age at that time. 4. What is the area of the circle? I.
The circumference of the circle is 308 m.
II. The radius of the circle is 28 m 5. What is the speed of the train? I.
280 m long train crosses a signal pole in 18 seconds
II. 280 m long train crosses a platform in 45 seconds
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6. Is Kareena the wife of Saif? I.
Kareena is a female person and Saif is a male person
II. Kareena is the daughter of Saif 7. What is the two digit number? I. The difference between the two digits is 9 II.
The sum of the digits is equal to the difference between the two digits
8. What is the difference between the digits of a two – digit number? I.
The sum of the digits of that number is 8
II.
One fifth of that number is 15 less than half of 44
9. By selling a product with 20% profit, how much profit was earned? I.
The difference between cost and selling price is ` 40
II. The selling price is 120% of the cost price. 10.What would have been the selling price per kg of rice? I.
50 kg of rice was purchased for ` 3350 and ` 150 was spent on transport.
II. Profit earned was 5% 11.What is the percent profit earned by selling the product? I. II.
The profit earned was ` 50 Had it been sold for ` 310, the profit would be ` 70
12.What was the cost price of the suitcase purchased by Richard? I.
Richard got 20% concession on the labeled price.
II. Richard sold the suitcase for ` 2000 with 25% profit on the labeled price. 13.By selling a product for ` 100, how much profit was earned? I.
20% profit would have been earned if it were sold for ` 90
II. The profit was one-third of the purchase price. 14.How much profit did Anand make by selling a bed? I. II.
He bought the bed with 40% discount on the labeled price. He sold it with 20% profit on the labeled price.
15.What is the rate of simple interest? I.
The total interest earned was ` 4000
II.
The sum was invested for 4 years
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16.What will be the compounded amount? I.
` 200 were borrowed for 192 months at 6% compounded annually.
II. ` 200 were borrowed for 16 years at 6% 17.What was the rate of interest on a sum of money? I.
The sum fetched a total of ` 2522 as compound interest at the end of 3 years.
II. The difference between the simple interest and the compound interest at the end of 2 years at the same rate was ` 40 18.What is Sonia’s present age? I.
Sonia’s present age is five times Deepak’s present age.
II. Five years ago her age was 25 times Deepak’s age at that time. 19.Divya is twice as old as Shruti. What is the difference in their ages? I.
Five years hence, the ratio of their ages would be 9:5
II. Ten years back, the ratio of their ages was 3:1 20.Rahul, Anurag and Vivek started a business together. In what proportion would the annual profit be distributed among them? I.
Rahul got one – fourth of the profit.
II. Rahul and Vivek contributed 75% of the total investment. 21.The towns A, B and C are on a straight line. Town C is between A and B. The distance from A to B is 100 km. How far is A from C? I.
The distance from A to B is 25% more than the distance from C to B.
II. The distance from A to C is ¼ of the distance from C to B. 22.How much time did X take to reach the destination? I.
The ratio between the speeds of X and Y is 3:4
II. Y takes 36 minutes to reach the same destination 23.Two cars pass each other in opposite direction. How long would they take to be 500 km apart? I.
The sum of their speeds is 135 kmph
II. The difference of their speeds is 25 km/ hr 24.What is the length of a running train? I.
The train crosses a man in 9 seconds
II. The train crosses a 240 m long platform in 24 seconds
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25.What was the length of a running train crossing another 180 m long train running in the opposite direction? I.
The relative speed of the two trains was 150 kmph
II. The trains took 9 seconds to cross each other 26.The area of a play ground is 1600 sq m. What is its perimeter? I.
It is a perfect square playground
II. It cost ` 3200 to put a fence around the playground at the rate of ` 20 per m 27.What is the area of the rectangle? I.
The difference between the sides is 5 cm
II. The measure of its diagonal is 10 cm 28.What is the weight of the iron beam? I.
The beam is 9 m long, 40 cm wide and 20 cm high
II. Iron weighs 50 kg per cubic m 29.What is the volume of a cube? I.
The area of each face of the cube is 64 sq m
II. The length of one side of the cube is 8 m 30.What is the volume of the cylinder? I.
Height is equal to the diameter
II. Perimeter of the base is 352 cm
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Quantitative Aptitude-Workbook
Model 2 Directions: Each of the following questions consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement(s) is / are necessary to answer the question. 31.How many articles were sold? I.
Total profit earned was Rs. 1596
II. Cost price of article was Rs. 632 III. Selling price per article was Rs. 765 1. Any two of the three 2. I and II only 3. II and III only 4. All I, II and III 5. Question cannot be answered even with the information in all the three statements. 32.In how many days can the work be completed by A and B together? I.
A alone can complete the work in 8 days.
II. If A alone works for 5 days and B alone works for 6 days, the work gets completed. III. B alone can complete the work in 16 days. 1. I and II only 2. II and III only 3. Any two of the three 4. II and either I or III 5. None of these 33.What is Ravi’s present age? I.The present age of Ravi is half of that of his father. II.After 5 years, the ratio of Ravi’s age to that of his father’s age will be 6:11 III.Ravi is 5 years younger than his brother. 1. I and II only 2. II and III only 3. I and III only 4. All I, II and III 5. Even with all the three statements answer cannot be given.
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Quantitative Aptitude-Workbook
34. What is the rate of interest p.c. p.a.? I.An amount doubles itself in 5 years on simple interest. II.Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400 III.Simple interest earned per annum is Rs. 2000 1. I only 2. II only 3. III only 4. I and III only 5. Either I only ;or II and III 35. How many marks did Tarun secure in English? I.The average marks obtained by Tarun in four subjects including English are 60. II.The total marks obtained by him in English and Mathematics together are 170. III.The total marks obtained by him in Mathematics and Science together are 180. 1. I and II only 2. II and III only 3. I and III only 4. All I, II and III 5. None of these Directions: Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.
Model 3 36. Three friends, P, Q and R started a partnership business investing money in the ratio of 5:4:2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit? I.Total amount invested in the business is Rs. 22000 II.The profit earned at the end of 3 years is 3/8 of the total investment. III.The average amount of profit earned per year is Rs. 2750
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1. I or II or III 2. Either III only or I and II together 3. Any two of the three 4. All I, II and III are required. 5. None of these 37.At what time will the train reach city X from city Y? I.
The train crosses another train of equal length of 200 m and running in opposite direction in 15 seconds
II. The train leaves city Y at 7.15 am for city X situated at a distance of 558 km. III. The 200 m long train crosses a signal pole 10 seconds. 1. II and III only 2. I only 3. III only 4. I or III only 5. All I, II and III are required 38.What is the cost of painting the two adjacent walls of a hall at Rs. 5 per sq.cm.which has no windows or doors? I.
The area of the hall is 24 sq.m
II. The breadth, length and height of the hall are in the ratio of 4:6:5 respectively III. Area of one wall is 30 sq.m 1. I only 2. II only 3. III only 4. Either I or III 5. All I, II and III are required 39. 8 men and 12 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many days will be required to complete the work? I.
19 men and 12 women together can complete the work in 18 days.
II. 16 men can complete two – third of the work in 16 days. III. In a day, the work done by three men is equal to the work done by four women. 1. I only 2. II only TalentSprint | © Copyright 2014 V1.00
Quantitative Aptitude-Workbook
3. III only 4. Any two of the statements 5. II or III only 40.What is the rate of interest per annum? I.
The amount becomes Rs. 11025 with compound interest after 2 years.
II. The same amount with simple interest becomes Rs. 11000 after 2 years. III. The amount invested is Rs. 10000 1. I or II only 2. II or III only 3. I or III only 4. I or II or III only 5. All I, II and III are required
Answers 1-4 11 - 5 21 - 3 31 - 4
2-5 12 - 5 22 - 5 32 - 3
3-4 13 - 3 23 - 1 33 - 1
4-3 14 - 4 24 - 5 34 - 5
5-5 15 - 4 25 - 5 35 - 5
6-2 16 - 3 26 - 3 36 - 2
7-1 17 - 5 27 - 5 37 - 2
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8-2 18 - 5 28 - 5 38 - 3
9-1 19 - 3 29 - 3 39 - 4
10 20 30 40
-
5 5 5 4
Quantitative Aptitude-Workbook
Set Theory Model 1 1. In a class of 120 students, 70 students passed in English, 80 students passed in Hindi and 40 students passed in both English and Hindi. How many students failed in both the subjects? 1) 20
2) 30
3) 10
4) 15
5) None of these
2. In a school of 1000 students, 700 students play Cricket, 550 students play football and 180 students play neither cricket nor football. How many students play both cricket and football? 1)230
2) 360
3) 430
4) 70
5) None of these
Model 2 Directions (3-7): Read the following data to answer the questions that follow. In a class of 106 students, each student studies at least one of the three subjects Maths, Physics and Chemistry. 48 of them study Maths, 51 Physics and 53 Chemistry. 16 study Maths and Physics,17 study Maths and Chemistry and 18 study Physics and Chemistry. 3.The number of students who study exactly two subjects is 1)31
2) 32
3) 33
4) 36
5) None of these
4.The number of students who study more than one subject is 1)39
2) 41
3) 40
4) 42
5) None of these
5.The number of students who study all the three subjects is 1)5
2) 6
3) 7
4) 4
5) None of these
6.The number of students who study, exactly one subject is 1)45
2) 55
3) 65
4) 70
5) None of these
7.The number of students who study physics and Maths but not Chemistry is 1)9
2) 11
3) 10
4) 12
5) None of these
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Directions (8-12): Read the following data to answer the questions that follow. In a pollution study of 1500 Indian rivers, the following data was reported. 520 were polluted by sulphur compounds, 335 were poliuted by phosphates, 425 were polluted by crude oil, 100 were polluted by both crude oil and sulphur compounds, 180 were polluted by both sulphur compounds and phosphates, 150 were polluted by both phosphates and crude oil and 28 were polluted by sulphur compounds, phosphates and crude oil. 8.How many of the rivers were polluted by at least one of the three impurities? 1) 878
2) 374
3) 346
4) 890
5) None of these
9.How many of the rivers were polluted by exactly two impurities? 1)878
2) 374
3) 346
4) 280
5) None of these
10.How many of the rivers were polluted by all the three impurities? 1)78
2) 55
3) 65
4) 28
5) None of these
11.How many rivers were polluted by Sulphur and Phosphate compounds only? 1)180
2) 152
3) 72
4) 122
5) None of these
12. How many of the rivers were not polluted by any of the impurities? 1) 378
2) 622
3) 456
4) 298
5) None of these
5-1
6-3
Answers 1-3 11 - 2
2-3 12 - 2
3-4
4-2
7-2
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8-1
9-3
10 - 4
Quantitative Aptitude-Workbook
Case Lets Model 1 Directions (1-5): Study the information carefully and answer the questions that follow In a school having 400 students, boys and girls are in the ratio of 3:5. The students speak Hindi, English or both the language. 12% of the boys speak only Hindi. 22% of the girls speak only English. 24% of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi. 1.How many boys speak Hindi? 1) 18
2) 126
3) 108
4) 26
5) None of these
2.How many girls speak only Hindi? 1) 55
2) 117
3) 96
4) 78
5) None of these
3.How many students speak English? 1) 304
2) 79
3) 225
4) 117
5) None of these
4.The number of girls speaking only Hindi is what per cent of the total number of students speaking only Hindi? 1) 38.2%
2) 71.8%
3) 31.2%
4) 78%
5) None of these
5.What is the ratio of the number of boys to the number of girls speaking both the languages? 1) 23:25
2) 12:25
3) 12:13
4) 25:13
5) None of these
Directions (6-10): Study the information carefully to answer the questions that follow A school consisting of a total of 1560 students has boys and girls in the ratio of 7:5. All the students are enrolled in different types of hobby classes, viz Singing, Dancing and Painting classes. Twenty per cent of the girls are enrolled in only painting classes. Ten per cent of the boys are enrolled in only Singing classes. Twenty four per cent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2:1. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both TalentSprint | © Copyright 2014 V1.00
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Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes. Number of boys enrolled in only dancing is same as those of girls enrolled in singing. 6.
What is the total number of boys who are enrolled in Dancing? 1) 318
7.
2) 364
3) 292
4) 434
5) None of these
Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school? 1) 37
2) 19
3) 32
4) 14
5) 26
8. What is the total number of students enrolled in all the three classes together? 1) 135
2) 164
3) 187
4) 142
5) None of these
9. Number of girls enrolled in only Dancing classes is what percent of the boys enrolled in the same? (rounded off to two digits after decimal) 1) 38.67
2) 35.71
3) 41.83
4) 28.62
5) None of these
10. What is the ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same? 1) 77:26
2) 21:73
3) 26:77
4) 73:21
5) None of these
Directions (11-16): Refer to the following information to answer the questions that follow The population of a town in 1998, consisted of 45% men, 35% women and the remaining children of the children, 40% were: female and 60% male. Of the men, 10% were over the age of 60 years and 25% below the age of 40 years. Of the women, 20% were over the age of 60 years and an equal number were under 40 years of age. The number of men increased by 4% in 1999 and that of women increased by 6% The population of the town in 1998 was 2,00,000. 11. What is the number of men in 1999? 1) 90,000
2) 92,000
3) 93,600
4) 94,200
5) None of these
12. What was the number of adults above the age of 60 years in 1998? 1) 20,000
2) 23,000
3) 26,000
4) Cannot be determined 5) None of these
13. What percentage of the population in 1999 consisted of children? TalentSprint | © Copyright 2014 V1.00
Quantitative Aptitude-Workbook
1) 16%
2) 20%
3) 13%
4) Cannot be determined
5) None of these
14. What percentage of the total females in 1998were children. 1) 18.6%
2) 20%
3) 15.7%
4) Cannot be determined
5) None of
these 15. What percentage of the population in 1998 are women below 40years of age? 1) 20%
2) 15%
3) 7 %
4) None of these
5) 2%
16. What is the number of women in 1999? 1) 70,000
2) 74,200
3) 78, 100
4) None of these
5) 50, 000
Directions (17-22): Refer to the following Information to answer the question that follow ABC Ltd. is operating in 4 businesses Viz. beverages, automobiles, refrigeration and electronics. The net capital allotted for these four each year is in proportion to the profit they generated in the previous year. Furthermore, the capital allotted to them in the previous year was ` 32 Crores, ` 38 crores, `41 crores and `45 crores respectively for beverages, automobiles, refrigeration and electronics. The net profit generated in the previous year was shared in the ratio as follows – 20%, 30%, 15% and 35%, in the same order. The profit this year has increased by 3%, 2%, 6% and 7% in the same order. Further more, the company is planning to get out of the refrigeration business and divide its capital equally among the remaining three. The total capital to be allotted this year is `40 crores. The net profit last year was `10 crores. 17. The profit (in ` crores) for beverages this year is 1) 4.3
2)2.06
3) 1
4) 6.01
5) None of these
18. Total profits (in ` crores) generated this year is 1) 14.33
2) 22.22
3) 6.82
4) 10.46
5) None of these
19. The capital (in ` crores) allotted for automobiles this year is 1) 8
2) 10
3) 12
4) 16
5) None of these
20. After the closure of the refrigeration business, the capital (in ` crores) allocated this year for electronics is 1) 16
2) 24
3) 10
4) 20
5) None of these
21. The capital (in ` crores) allotted for electronics this year is TalentSprint | © Copyright 2014 V1.00
Quantitative Aptitude-Workbook
1) 10
2) 12
3) 14
4) 16
5) None of these
22. After the closure of the refrigeration business, the capital (in ` crores) allocated this year for automobile is 1) 14
2) 24
3) 10
4) 20
5) None of these
Answers 1-2 11 - 3 21 - 3
2-4 12 - 2 22 - 1
3-1 13 - 4
4-5 14 - 1
5-3 15 - 3
6-4 16 - 2
7-5 17 - 2
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8-1 18 - 4
9-2 19 - 3
10 - 3 20 – 1
Data Sufficiency Model 1 Directions: Each of the questions given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/ are sufficient to answer the given question. Read both the statements and Give answer 1) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. Give answer 2) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question. Give answer 3) if the data either in Statement I or in Statement II alone are sufficient to answer the question. Give answer 4) if the data even in both Statements I and II together are not sufficient to answer the question. Give answer 5) if the data in both Statements I and II together are necessary to answer the questions. 1. What is the two digit number? I.
The sum of the two digits is 8. The ratio of the two digits is 1:3
II.
The product of the two digits of a number is 12. The quotient of two digits is 3
2. What is the sum which earned interest? I.
The total simple interest was ` 7000 after 7 years.
II. The total of sum and simple interest was double of the sum after 5 years. 3. What is Reena’s present age? I.
Reena’s present age is 5 times her son’s present age
II. Reena’s age two years hence will be three times her daughter’s age at that time. 4. What is the area of the circle? I.
The circumference of the circle is 308 m.
II. The radius of the circle is 28 m 5. What is the speed of the train? I.
280 m long train crosses a signal pole in 18 seconds
II. 280 m long train crosses a platform in 45 seconds
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Quantitative Aptitude-Workbook
6. Is Kareena the wife of Saif? I.
Kareena is a female person and Saif is a male person
II. Kareena is the daughter of Saif 7. What is the two digit number? I. The difference between the two digits is 9 II.
The sum of the digits is equal to the difference between the two digits
8. What is the difference between the digits of a two – digit number? I.
The sum of the digits of that number is 8
II.
One fifth of that number is 15 less than half of 44
9. By selling a product with 20% profit, how much profit was earned? I.
The difference between cost and selling price is ` 40
II. The selling price is 120% of the cost price. 10.What would have been the selling price per kg of rice? I.
50 kg of rice was purchased for ` 3350 and ` 150 was spent on transport.
II. Profit earned was 5% 11.What is the percent profit earned by selling the product? I. II.
The profit earned was ` 50 Had it been sold for ` 310, the profit would be ` 70
12.What was the cost price of the suitcase purchased by Richard? I.
Richard got 20% concession on the labeled price.
II. Richard sold the suitcase for ` 2000 with 25% profit on the labeled price. 13.By selling a product for ` 100, how much profit was earned? I.
20% profit would have been earned if it were sold for ` 90
II. The profit was one-third of the purchase price. 14.How much profit did Anand make by selling a bed? I. II.
He bought the bed with 40% discount on the labeled price. He sold it with 20% profit on the labeled price.
15.What is the rate of simple interest? I.
The total interest earned was ` 4000
II.
The sum was invested for 4 years
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Quantitative Aptitude-Workbook
16.What will be the compounded amount? I.
` 200 were borrowed for 192 months at 6% compounded annually.
II. ` 200 were borrowed for 16 years at 6% 17.What was the rate of interest on a sum of money? I.
The sum fetched a total of ` 2522 as compound interest at the end of 3 years.
II. The difference between the simple interest and the compound interest at the end of 2 years at the same rate was ` 40 18.What is Sonia’s present age? I.
Sonia’s present age is five times Deepak’s present age.
II. Five years ago her age was 25 times Deepak’s age at that time. 19.Divya is twice as old as Shruti. What is the difference in their ages? I.
Five years hence, the ratio of their ages would be 9:5
II. Ten years back, the ratio of their ages was 3:1 20.Rahul, Anurag and Vivek started a business together. In what proportion would the annual profit be distributed among them? I.
Rahul got one – fourth of the profit.
II. Rahul and Vivek contributed 75% of the total investment. 21.The towns A, B and C are on a straight line. Town C is between A and B. The distance from A to B is 100 km. How far is A from C? I.
The distance from A to B is 25% more than the distance from C to B.
II. The distance from A to C is ¼ of the distance from C to B. 22.How much time did X take to reach the destination? I.
The ratio between the speeds of X and Y is 3:4
II. Y takes 36 minutes to reach the same destination 23.Two cars pass each other in opposite direction. How long would they take to be 500 km apart? I.
The sum of their speeds is 135 kmph
II. The difference of their speeds is 25 km/ hr 24.What is the length of a running train? I.
The train crosses a man in 9 seconds
II. The train crosses a 240 m long platform in 24 seconds
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Quantitative Aptitude-Workbook
25.What was the length of a running train crossing another 180 m long train running in the opposite direction? I.
The relative speed of the two trains was 150 kmph
II. The trains took 9 seconds to cross each other 26.The area of a play ground is 1600 sq m. What is its perimeter? I.
It is a perfect square playground
II. It cost ` 3200 to put a fence around the playground at the rate of ` 20 per m 27.What is the area of the rectangle? I.
The difference between the sides is 5 cm
II. The measure of its diagonal is 10 cm 28.What is the weight of the iron beam? I.
The beam is 9 m long, 40 cm wide and 20 cm high
II. Iron weighs 50 kg per cubic m 29.What is the volume of a cube? I.
The area of each face of the cube is 64 sq m
II. The length of one side of the cube is 8 m 30.What is the volume of the cylinder? I.
Height is equal to the diameter
II. Perimeter of the base is 352 cm
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Quantitative Aptitude-Workbook
Model 2 Directions: Each of the following questions consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement(s) is / are necessary to answer the question. 31.How many articles were sold? I.
Total profit earned was Rs. 1596
II. Cost price of article was Rs. 632 III. Selling price per article was Rs. 765 1. Any two of the three 2. I and II only 3. II and III only 4. All I, II and III 5. Question cannot be answered even with the information in all the three statements. 32.In how many days can the work be completed by A and B together? I.
A alone can complete the work in 8 days.
II. If A alone works for 5 days and B alone works for 6 days, the work gets completed. III. B alone can complete the work in 16 days. 1. I and II only 2. II and III only 3. Any two of the three 4. II and either I or III 5. None of these 33.What is Ravi’s present age? I.The present age of Ravi is half of that of his father. II.After 5 years, the ratio of Ravi’s age to that of his father’s age will be 6:11 III.Ravi is 5 years younger than his brother. 1. I and II only 2. II and III only 3. I and III only 4. All I, II and III 5. Even with all the three statements answer cannot be given.
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Quantitative Aptitude-Workbook
34. What is the rate of interest p.c. p.a.? I.An amount doubles itself in 5 years on simple interest. II.Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400 III.Simple interest earned per annum is Rs. 2000 1. I only 2. II only 3. III only 4. I and III only 5. Either I only ;or II and III 35. How many marks did Tarun secure in English? I.The average marks obtained by Tarun in four subjects including English are 60. II.The total marks obtained by him in English and Mathematics together are 170. III.The total marks obtained by him in Mathematics and Science together are 180. 1. I and II only 2. II and III only 3. I and III only 4. All I, II and III 5. None of these Directions: Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.
Model 3 36. Three friends, P, Q and R started a partnership business investing money in the ratio of 5:4:2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit? I.Total amount invested in the business is Rs. 22000 II.The profit earned at the end of 3 years is 3/8 of the total investment. III.The average amount of profit earned per year is Rs. 2750
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Quantitative Aptitude-Workbook
1. I or II or III 2. Either III only or I and II together 3. Any two of the three 4. All I, II and III are required. 5. None of these 37.At what time will the train reach city X from city Y? I.
The train crosses another train of equal length of 200 m and running in opposite direction in 15 seconds
II. The train leaves city Y at 7.15 am for city X situated at a distance of 558 km. III. The 200 m long train crosses a signal pole 10 seconds. 1. II and III only 2. I only 3. III only 4. I or III only 5. All I, II and III are required 38.What is the cost of painting the two adjacent walls of a hall at Rs. 5 per sq.cm.which has no windows or doors? I.
The area of the hall is 24 sq.m
II. The breadth, length and height of the hall are in the ratio of 4:6:5 respectively III. Area of one wall is 30 sq.m 1. I only 2. II only 3. III only 4. Either I or III 5. All I, II and III are required 39. 8 men and 12 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many days will be required to complete the work? I.
19 men and 12 women together can complete the work in 18 days.
II. 16 men can complete two – third of the work in 16 days. III. In a day, the work done by three men is equal to the work done by four women. 1. I only 2. II only TalentSprint | © Copyright 2014 V1.00
Quantitative Aptitude-Workbook
3. III only 4. Any two of the statements 5. II or III only 40.What is the rate of interest per annum? I.
The amount becomes Rs. 11025 with compound interest after 2 years.
II. The same amount with simple interest becomes Rs. 11000 after 2 years. III. The amount invested is Rs. 10000 1. I or II only 2. II or III only 3. I or III only 4. I or II or III only 5. All I, II and III are required
Answers 1-4 11 - 5 21 - 3 31 - 4
2-5 12 - 5 22 - 5 32 - 3
3-4 13 - 3 23 - 1 33 - 1
4-3 14 - 4 24 - 5 34 - 5
5-5 15 - 4 25 - 5 35 - 5
6-2 16 - 3 26 - 3 36 - 2
7-1 17 - 5 27 - 5 37 - 2
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8-2 18 - 5 28 - 5 38 - 3
9-1 19 - 3 29 - 3 39 - 4
10 20 30 40
-
5 5 5 4
Quantitative Aptitude-Workbook
Set Theory Model 1 1. In a class of 120 students, 70 students passed in English, 80 students passed in Hindi and 40 students passed in both English and Hindi. How many students failed in both the subjects? 1) 20
2) 30
3) 10
4) 15
5) None of these
2. In a school of 1000 students, 700 students play Cricket, 550 students play football and 180 students play neither cricket nor football. How many students play both cricket and football? 1)230
2) 360
3) 430
4) 70
5) None of these
Model 2 Directions (3-7): Read the following data to answer the questions that follow. In a class of 106 students, each student studies at least one of the three subjects Maths, Physics and Chemistry. 48 of them study Maths, 51 Physics and 53 Chemistry. 16 study Maths and Physics,17 study Maths and Chemistry and 18 study Physics and Chemistry. 3.The number of students who study exactly two subjects is 1)31
2) 32
3) 33
4) 36
5) None of these
4.The number of students who study more than one subject is 1)39
2) 41
3) 40
4) 42
5) None of these
5.The number of students who study all the three subjects is 1)5
2) 6
3) 7
4) 4
5) None of these
6.The number of students who study, exactly one subject is 1)45
2) 55
3) 65
4) 70
5) None of these
7.The number of students who study physics and Maths but not Chemistry is 1)9
2) 11
3) 10
4) 12
5) None of these
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Quantitative Aptitude-Workbook
Directions (8-12): Read the following data to answer the questions that follow. In a pollution study of 1500 Indian rivers, the following data was reported. 520 were polluted by sulphur compounds, 335 were poliuted by phosphates, 425 were polluted by crude oil, 100 were polluted by both crude oil and sulphur compounds, 180 were polluted by both sulphur compounds and phosphates, 150 were polluted by both phosphates and crude oil and 28 were polluted by sulphur compounds, phosphates and crude oil. 8.How many of the rivers were polluted by at least one of the three impurities? 1) 878
2) 374
3) 346
4) 890
5) None of these
9.How many of the rivers were polluted by exactly two impurities? 1)878
2) 374
3) 346
4) 280
5) None of these
10.How many of the rivers were polluted by all the three impurities? 1)78
2) 55
3) 65
4) 28
5) None of these
11.How many rivers were polluted by Sulphur and Phosphate compounds only? 1)180
2) 152
3) 72
4) 122
5) None of these
12. How many of the rivers were not polluted by any of the impurities? 1) 378
2) 622
3) 456
4) 298
5) None of these
5-1
6-3
Answers 1-3 11 - 2
2-3 12 - 2
3-4
4-2
7-2
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8-1
9-3
10 - 4
Quantitative Aptitude-Workbook
Case Lets Model 1 Directions (1-5): Study the information carefully and answer the questions that follow In a school having 400 students, boys and girls are in the ratio of 3:5. The students speak Hindi, English or both the language. 12% of the boys speak only Hindi. 22% of the girls speak only English. 24% of the total students speak only Hindi and the number of boys speaking both the languages is six times the number of boys speaking only Hindi. 1.How many boys speak Hindi? 1) 18
2) 126
3) 108
4) 26
5) None of these
2.How many girls speak only Hindi? 1) 55
2) 117
3) 96
4) 78
5) None of these
3.How many students speak English? 1) 304
2) 79
3) 225
4) 117
5) None of these
4.The number of girls speaking only Hindi is what per cent of the total number of students speaking only Hindi? 1) 38.2%
2) 71.8%
3) 31.2%
4) 78%
5) None of these
5.What is the ratio of the number of boys to the number of girls speaking both the languages? 1) 23:25
2) 12:25
3) 12:13
4) 25:13
5) None of these
Directions (6-10): Study the information carefully to answer the questions that follow A school consisting of a total of 1560 students has boys and girls in the ratio of 7:5. All the students are enrolled in different types of hobby classes, viz Singing, Dancing and Painting classes. Twenty per cent of the girls are enrolled in only painting classes. Ten per cent of the boys are enrolled in only Singing classes. Twenty four per cent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2:1. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both TalentSprint | © Copyright 2014 V1.00
Quantitative Aptitude-Workbook
Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes. Number of boys enrolled in only dancing is same as those of girls enrolled in singing. 6.
What is the total number of boys who are enrolled in Dancing? 1) 318
7.
2) 364
3) 292
4) 434
5) None of these
Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school? 1) 37
2) 19
3) 32
4) 14
5) 26
8. What is the total number of students enrolled in all the three classes together? 1) 135
2) 164
3) 187
4) 142
5) None of these
9. Number of girls enrolled in only Dancing classes is what percent of the boys enrolled in the same? (rounded off to two digits after decimal) 1) 38.67
2) 35.71
3) 41.83
4) 28.62
5) None of these
10. What is the ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same? 1) 77:26
2) 21:73
3) 26:77
4) 73:21
5) None of these
Directions (11-16): Refer to the following information to answer the questions that follow The population of a town in 1998, consisted of 45% men, 35% women and the remaining children of the children, 40% were: female and 60% male. Of the men, 10% were over the age of 60 years and 25% below the age of 40 years. Of the women, 20% were over the age of 60 years and an equal number were under 40 years of age. The number of men increased by 4% in 1999 and that of women increased by 6% The population of the town in 1998 was 2,00,000. 11. What is the number of men in 1999? 1) 90,000
2) 92,000
3) 93,600
4) 94,200
5) None of these
12. What was the number of adults above the age of 60 years in 1998? 1) 20,000
2) 23,000
3) 26,000
4) Cannot be determined 5) None of these
13. What percentage of the population in 1999 consisted of children? TalentSprint | © Copyright 2014 V1.00
Quantitative Aptitude-Workbook
1) 16%
2) 20%
3) 13%
4) Cannot be determined
5) None of these
14. What percentage of the total females in 1998were children. 1) 18.6%
2) 20%
3) 15.7%
4) Cannot be determined
5) None of
these 15. What percentage of the population in 1998 are women below 40years of age? 1) 20%
2) 15%
3) 7 %
4) None of these
5) 2%
16. What is the number of women in 1999? 1) 70,000
2) 74,200
3) 78, 100
4) None of these
5) 50, 000
Directions (17-22): Refer to the following Information to answer the question that follow ABC Ltd. is operating in 4 businesses Viz. beverages, automobiles, refrigeration and electronics. The net capital allotted for these four each year is in proportion to the profit they generated in the previous year. Furthermore, the capital allotted to them in the previous year was ` 32 Crores, ` 38 crores, `41 crores and `45 crores respectively for beverages, automobiles, refrigeration and electronics. The net profit generated in the previous year was shared in the ratio as follows – 20%, 30%, 15% and 35%, in the same order. The profit this year has increased by 3%, 2%, 6% and 7% in the same order. Further more, the company is planning to get out of the refrigeration business and divide its capital equally among the remaining three. The total capital to be allotted this year is `40 crores. The net profit last year was `10 crores. 17. The profit (in ` crores) for beverages this year is 1) 4.3
2)2.06
3) 1
4) 6.01
5) None of these
18. Total profits (in ` crores) generated this year is 1) 14.33
2) 22.22
3) 6.82
4) 10.46
5) None of these
19. The capital (in ` crores) allotted for automobiles this year is 1) 8
2) 10
3) 12
4) 16
5) None of these
20. After the closure of the refrigeration business, the capital (in ` crores) allocated this year for electronics is 1) 16
2) 24
3) 10
4) 20
5) None of these
21. The capital (in ` crores) allotted for electronics this year is TalentSprint | © Copyright 2014 V1.00
Quantitative Aptitude-Workbook
1) 10
2) 12
3) 14
4) 16
5) None of these
22. After the closure of the refrigeration business, the capital (in ` crores) allocated this year for automobile is 1) 14
2) 24
3) 10
4) 20
5) None of these
Answers 1-2 11 - 3 21 - 3
2-4 12 - 2 22 - 1
3-1 13 - 4
4-5 14 - 1
5-3 15 - 3
6-4 16 - 2
7-5 17 - 2
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8-1 18 - 4
9-2 19 - 3
10 - 3 20 – 1
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