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Section – I : Quantitative Techniques & Data Interpretation 1. A person invested <1,00,000 at 8% simple interest for 5 years and reinvested the amount received at 10% simple interest for 2 years. What was the final amount received by him? (a) <1,56,000 (b) <1,60,000 (c) <1,68,000 (d) <1,70,000 2. A 100 liters spirit water solution contains 75% spirit. Find the amount of water to be added to convert it into 60% spirit solution. (a) 15 liters (b) 25 liters (c) 40 liters (d) 20 liters 3. Ajay started a firm with a capital of <28,000. After 5 months, Boman joined him and invested <40,000 in the firm. Chirag was also added as a new partner with an individual investment of <56,000 after 7 months of commencement. If at the end of the year, the profit of the firm is <32,000, what is the share of Boman? (a) <12,000 (b) <8,000 (c) <14,000 (d) <10,000 4. The price of a machine increases by 20% in a year and decreases by 15% in the following year. What is net percentage increase/decrease in the price of the machine? (a) 1% increase (b) 2% increase (c) 1% decrease (d) 2% decrease 5. The question given below is followed by two statements, I and II. Mark the answer using the following instructions: Mark (a) if the question can be answered by using statement I alone, but not by using statement II alone. Mark (b) if the question can be answered by using statement II alone, but not by using statement I alone. Mark (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone. Mark (d) if the question cannot be answered even by using both the statements together. Q. In a class, the ratio of boys to girls is 13 : 10. How many boys are there in the class? I. The number of boys is 30% more than the number of girls. II. The number of girls is 15 less than the number of boys. 6. A person covers 180 km, 240 km and 300 km by car, train and bus respectively. Find the average speed of the whole journey if the speed of car, train and bus is 60 km/hr, 80 km/hr and 50 km/hr respectively. (a) 1 63 3 km/hr (b) 60 km/hr (c) eerarm.com 0,000 Careerarm.com 0,000 r to be added to conve Careerarm.com r to be added to conve (d) 20 liters Careerarm.com (d) 20 liters Boman joined him a Careerarm.com Boman joined him a ner with an individual Careerarm.com ner with an individual he year, the profit of th Careerarm.com he year, the profit of th 14,000 Careerarm.com 14,000 (d) Careerarm.com (d) year and decreases b Careerarm.com year and decreases b n the price of the mach Careerarm.com n the price of the mach (c) 1% decrease Careerarm.com (c) 1% decrease by two statements, I and Careerarm.com by two statements, I and answered by using sta Careerarm.com answered by using sta n be answered by usin Careerarm.com n be answered by usin ion can be answered Careerarm.com ion can be answered Caree g either statement alon Careerarm.com g either statement alon question cannot be ans Careerarm.com question cannot be ans ass, the ratio of boys Careerarm.com ass, the ratio of boys e number of boys is 3 Careerarm.com e number of boys is 3 The number of girls is Careerarm.com The number of girls is A person covers 180 Careerarm.com A person covers 180 speed of the whole Careerarm.com speed of the whole respectively. Careerarm.com respectively. (a) Careerarm.com (a) C 1 Careerarm.com 1 63 Careerarm.com 63 3 Careerarm.com 3 k Careerarm.com k

Section – I : Quantitative Techniques & Data Interpretation€¦ · Section – I : Quantitative Techniques & Data Interpretation 1. A person invested 1,00,000 at 8% simple interest

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  • Section I : Quantitative Techniques & Data Interpretation

    1. A person invested 1,00,000 at 8% simple interest for 5 years and reinvested the amount receivedat 10% simple interest for 2 years. What was the final amount received by him?(a) 1,56,000 (b) 1,60,000 (c) 1,68,000 (d) 1,70,000

    2. A 100 liters spirit water solution contains 75% spirit. Find the amount of water to be added to convertit into 60% spirit solution.(a) 15 liters (b) 25 liters (c) 40 liters (d) 20 liters

    3. Ajay started a firm with a capital of 28,000. After 5 months, Boman joined him and invested40,000 in the firm. Chirag was also added as a new partner with an individual investment of56,000 after 7 months of commencement. If at the end of the year, the profit of the firm is 32,000,what is the share of Boman?(a) 12,000 (b) 8,000 (c) 14,000 (d) 10,000

    4. The price of a machine increases by 20% in a year and decreases by 15% in the following year.What is net percentage increase/decrease in the price of the machine?(a) 1% increase (b) 2% increase (c) 1% decrease (d) 2% decrease

    5. The question given below is followed by two statements, I and II. Mark the answer using the followinginstructions:Mark (a) if the question can be answered by using statement I alone, but not by using statement IIalone.Mark (b) if the question can be answered by using statement II alone, but not by using statement Ialone.Mark (c) if the question can be answered by using both the statements together, but cannot beanswered by using either statement alone.Mark (d) if the question cannot be answered even by using both the statements together.

    Q. In a class, the ratio of boys to girls is 13 : 10. How many boys are there in the class?I. The number of boys is 30% more than the number of girls.II. The number of girls is 15 less than the number of boys.

    6. A person covers 180 km, 240 km and 300 km by car, train and bus respectively. Find the averagespeed of the whole journey if the speed of car, train and bus is 60 km/hr, 80 km/hr and 50 km/hrrespectively.

    (a)1633 km/hr (b) 60 km/hr (c)Ca

    reerar

    m.co

    m

    1,70,000

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    1,70,000

    A 100 liters spirit water solution contains 75% spirit. Find the amount of water to be added to convert

    Caree

    rarm.

    comA 100 liters spirit water solution contains 75% spirit. Find the amount of water to be added to convert(d) 20 liters

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    com(d) 20 liters28,000. After 5 months, Boman joined him and invested

    Caree

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    com28,000. After 5 months, Boman joined him and invested

    40,000 in the firm. Chirag was also added as a new partner with an individual investment of

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    40,000 in the firm. Chirag was also added as a new partner with an individual investment of56,000 after 7 months of commencement. If at the end of the year, the profit of the firm is

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    56,000 after 7 months of commencement. If at the end of the year, the profit of the firm is

    14,000

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    14,000 (d)

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    (d)

    4. The price of a machine increases by 20% in a year and decreases by 15% in the following year.

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    4. The price of a machine increases by 20% in a year and decreases by 15% in the following year.What is net percentage increase/decrease in the price of the machine?

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    What is net percentage increase/decrease in the price of the machine?(a) 1% increase (b) 2% increase (c) 1% decrease (d) 2% decrease

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    (a) 1% increase (b) 2% increase (c) 1% decrease (d) 2% decrease

    5. The question given below is followed by two statements, I and II. Mark the answer using the following

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    5. The question given below is followed by two statements, I and II. Mark the answer using the following

    Mark (a) if the question can be answered by using statement I alone, but not by using statement II

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    Mark (a) if the question can be answered by using statement I alone, but not by using statement II

    Mark (b) if the question can be answered by using statement II alone, but not by using statement I

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    Mark (b) if the question can be answered by using statement II alone, but not by using statement I

    Mark (c) if the question can be answered by using both the statements together, but cannot be

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    Mark (c) if the question can be answered by using both the statements together, but cannot be

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    answered by using either statement alone.

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    answered by using either statement alone.Mark (d) if the question cannot be answered even by using both the statements together.

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    Mark (d) if the question cannot be answered even by using both the statements together.

    Q. In a class, the ratio of boys to girls is 13 : 10. How many boys are there in the class?

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    Q. In a class, the ratio of boys to girls is 13 : 10. How many boys are there in the class?The number of boys is 30% more than the number of girls.

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    The number of boys is 30% more than the number of girls.The number of girls is 15 less than the number of boys.

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    The number of girls is 15 less than the number of boys.

    6. A person covers 180 km, 240 km and 300 km by car, train and bus respectively. Find the average

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    6. A person covers 180 km, 240 km and 300 km by car, train and bus respectively. Find the averagespeed of the whole journey if the speed of car, train and bus is 60 km/hr, 80 km/hr and 50 km/hrCa

    reerar

    m.co

    mspeed of the whole journey if the speed of car, train and bus is 60 km/hr, 80 km/hr and 50 km/hrrespectively.Ca

    reerar

    m.co

    mrespectively.

    (a) Caree

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    (a) Caree

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    633Ca

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    m3 km/hr (b)Ca

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    m km/hr (b)

  • 8. The bar graph given below shows profit (in 00,000) of three companies for four quarters of thefinancial year 2011-12.

    0

    10

    20

    30

    40

    50

    60

    1st Q tr 2nd Q tr 3rd Q tr 4th Q tr

    Pro

    fit

    (in

    00

    ,000

    )

    Sun Enterta inment Moon Pvt. L td. S tar Interna tiona l

    Which company recorded the highest percentage increase in profit over the previous quarter duringany of the four quarters?(a) Sun Entertainment (b) Moon Pvt. Ltd. (c) Star International (d) Both (a) and (b)

    9. If the natural numbers starting from 1 are written one after the other to form a 121-digit number, thenwhat will be the last digit of the resultant number?(a) 5 (b) 3 (c) 6 (d) 7

    10. Four tables and 3 chairs cost 3,200 whereas 5 tables and 7 chairs cost 5,300. What is the priceof a table?(a) 600 (b) 500 (c) 480 (d) 300

    11. Find the value of a in the equation 3x2 (3a + 2) x + 7 = 0, if one of its root is 4.

    (a)353 (b)

    4712

    (c)103 (d)

    113

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    10. Four tables and 3 chairs cost

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  • 12. The table given below shows the number of students admitted across various courses in 5 eliteinstitutes in the year 2012.

    Courses Institute

    PGDM BBA ENGG. MBBS

    A 216 72 300 112B 150 100 400 150C 200 128 200 172D 184 100 216 100E 250 150 284 116

    Number of students admitted in the five institutes in MBBS is what percent of the total number ofstudents admitted in institutes A and B together?(a) 43.33% (b) 50% (c) 61.8% (d) 74%

    13. The question given below is followed by two statements, I and II. Mark the answer using the followinginstructions:Mark (a) if the question can be answered by using statement I alone, but not by using statement IIalone.Mark (b) if the question can be answered by using statement II alone, but not by using statement Ialone.Mark (c) if the question can be answered by using both the statements together, but cannot beanswered by using either statement alone.Mark (d) if the question cannot be answered even by using both the statements together.

    Q. The average marks of three students X, Y and Z were 2025. What were the marks of each student?I. Y and Z together secured 1324 marks.II. X and Z together secured 1355 marks.

    14. The remainder when 2582 is divided by 27 is(a) 2 (b) 25 (c) 1 (d) 0

    15. The average of 5 numbers is 150. The largest number exceeds the smallest number by 100. If thefive numbers are in arithmetic progression, find the smallest number.(a) 100 (b) 150 (c) 170 (d) 135

    16. Find the volume of water (in litres) that is flowing through a cylindrical pipe of diameter 14 metersin a minute, if water is flowing at the rate of 30 km per hour.(a) 7.7 107 (b) 1.54 106 (c) 1.54 107 (d) 7.7 106

    17. Find the number of ways in which 14 persons can sit on 14 chairs such that 3 particular personsalways sit together.(a) 14! (b) 14! 3! (c) 11! (d) 12! 3!Ca

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    Q. The average marks of three students X, Y and Z were 2025. What were the marks of each student?Y and Z together secured 1324 marks.

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    108 (c)16 (d)

    736

    19. The pie-chart given below shows quantities (in ml) of different liquids A, B, C, D and E in amixture.

    35

    1725

    27

    48

    Liquid A Liquid B Liquid C Liquid D Liquid E

    If the quantity of liquid C is doubled, keeping the quantities of rest of the liquids constant, find thepercentage of liquid E in the final mixture. (a) 16.67% (b) 33.33% (c) 12.5% (d) 18%

    20. If f(x) = x2 3x + 2 and g(x) = x3 2x, find the value of g(f(x)), for x = 4.(a) 214 (b) 204 (c) 212 (d) 202

    21. The digit at the unit place of the product 1213 135 142 is(a) 6 (b) 4 (c) 0 (d) 2

    22. A work gets completed in 10 days if either 5 men and 4 women work on it or 7 men and 3 womenwork on it. How long will 10 men take to complete the work?(a) 9 days (b) 10 days (c) 14 days (d) 13 days

    23. Two successive discounts of 20% and y% are given on marked price such that the selling price is800. If the marked price of the article is 1,200, find the value of y.

    (a)113 %3 (b) 17% (c)

    216 %3 (d)

    111 %9

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    If the quantity of liquid C is doubled, keeping the quantities of rest of the liquids constant, find thepercentage of liquid E in the final mixture.

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    percentage of liquid E in the final mixture.(b)

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    (b) 33.33%

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    3

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    2x, find the value of g(f(x)), for x = 4. 2x, find the value of g(f(x)), for x = 4.

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    2x, find the value of g(f(x)), for x = 4.

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    (b) 204

    21. The digit at the unit place of the product 12

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    21. The digit at the unit place of the product 12 6

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    22. A work gets completed in 10 days if either 5 men and 4 women work on it or 7 men and 3 women

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    22. A work gets completed in 10 days if either 5 men and 4 women work on it or 7 men and 3 womenwork on it. How long will 10 men take to complete the work?Ca

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    800. If the marked price of the article is

  • 24. If two pipes can fill a cistern of capacity 1,00,000 liters in 20 hours and 30 hours respectively, findthe time taken by both of them to fill 75,000 liters of water in it.(a) 24 hours (b) 9 hours (c) 20 hours (d) 12 hours

    25. A train travelling at a certain speed can cross a person standing on the platform in 10 seconds, whileit takes 2 seconds more for the same if it travels slower by 18 km/hr. Find the length of the train.(a) 400 m (b) 250 m (c) 300 m (d) 200 m

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  • Section II : Logical Reasoning

    26. While speaking to a lady, Aryan said You are the mother of the daughter of the only son of the wifeof the father of my sister's father. How is the lady related to Aryan?(a) Mother (b) Aunt (c) Sister (d) Cannot be determined

    27. Find the next term in the series: 25, 52, 38, 83, 50, 5, 126, ____(a) 36 (b) 111 (c) 534 (d) 621

    28. A cube is painted red on all of its faces and then cut into 64 identical smaller cubes. How many ofthese smaller cubes have exactly two faces painted red?(a) 12 (b) 16 (c) 24 (d) 32

    29. A is to the South of B who is to the East of C. E is to the East of D who is to the North of C. Whatis the direction of D with respect to A?(a) North-west (b) West (c) East (d) South-west

    30. Find the next term in the series: B6D, C9F, E15J, H24P, ____(a) L27X (b) K27X (c) K36X (d) L36X

    31. In the diagram given below, Square represents the number of families having VCR, Rectanglerepresents the number of families having scooter, the smaller Oval represents the number of familieshaving TV and the bigger Oval represents the number of families having Maruti Car.

    110

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    How many families are there with all the four things?(a) 40 (b) 30 (c) 35 (d) 20

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    29. A is to the South of B who is to the East of C. E is to the East of D who is to the North of C. What

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    29. A is to the South of B who is to the East of C. E is to the East of D who is to the North of C. What

    (d) South-west

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    (d) South-west

    30. Find the next term in the series: B6D, C9F, E15J, H24P, ____

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    30. Find the next term in the series: B6D, C9F, E15J, H24P, ____(c) K36X

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    (c) K36X

    31. In the diagram given below, Square represents the number of families having VCR, Rectangle

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    31. In the diagram given below, Square represents the number of families having VCR, Rectanglerepresents the number of families having scooter, the smaller Oval represents the number of families

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    represents the number of families having scooter, the smaller Oval represents the number of familieshaving TV and the bigger Oval represents the number of families having Maruti Car.

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    having TV and the bigger Oval represents the number of families having Maruti Car.

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