• SBI (Associates) PO Exam (August 2011) – Test 2: Quantitative Aptitude

     

     

    Quantitative Aptitude

      Directions (Questions: 51-55): What will come in place of question mark (?) in the following questions?
       
    51 32.05% of 259.99 = ?
      1) 92
      2) 88
      3) 78
      4) 90
      5) 83
       
       
    52 1/8 of 2/3 of 3/5 of 1715 = ?
      1) 80
      2) 85
      3) 90
      4) 95
      5) 75
       
       
    53 25.05 × 123.95 + 388.999 × 15.001 = ?
      1) 900
      2) 8950
      3) 8935
      4) 8975
      5) 8995
       
       
    54 561 / 35.05 × 19.99 = ?
      1) 320
      2) 330
      3) 315
      4) 325
      5) 335
       
       
    55 (15.01)^2 × Sqrt(730) = ?
      1) 6125
      2) 6225
      3) 6200
      4) 6075
      5) 6250
       
       
      Directions (Questions: 56-60): In each of these questions, a number series is given. In each series, only one number is wrong. Find out the wrong number.
       
    56 3601 3602 1803 604 154 36 12
      1) 3602
      2) 1803
      3) 604
      4) 154
      5) 36
       
       
    57 4 12 42 196 1005 6066 42511
      1) 12
      2) 42
      3) 1005
      4) 196
      5) 6066
       
       
    58 2 8 12 20 30 42 56
      1) 8
      2) 42
      3) 30
      4) 20
      5) 12
       
       
    59 32 16 24 65 210 945 5197.5
      1) 945
      2) 16
      3) 24
      4) 210
      5) 65
       
       
    60 7 13 25 49 97 194 385
      1) 13
      2) 49
      3) 97
      4) 194
      5) 25
       
       
    61 Mr X invested a certain amount in Debt and Equity Funds in the ratio of 4 : 5. At the end of one year, he earned a total dividend of 30% on his investment. After one year, he reinvested the amount including the dividend in the ratio of 6 : 7 in Debt and Equity Funds. If the amount reinvested in Equity Funds was Rs. 94,500, what was the original amount invested in Equity Funds?
      1) Rs. 75,000
      2) Rs. 81,000
      3) Rs. 60,000
      4) Rs. 65,000
      5) None of these
       
       
    62 The age of the father is 30 years more than the son’s age. Ten years hence, the father’s age will become three times the son’s age that time. What is the son’s present age in years?
      1) Eight
      2) Seven
      3) Five
      4) Cannot be determined
      5) None of these
       
       
    63 If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192 m2. What is the area of the original rectangle?
      1) 184 m2
      2) 196 m2
      3) 204 m2
      4) 225 m2
      5) None of these
       
       
    64 The product of one-third of a number and 150% of another number is what per cent of the product of the original numbers?
      1) 80%
      2) 50%
      3) 75%
      4) 120%
      5) None of these
       
       
    65 Inside a square plot, a circular garden is developed which exactly fits in the square plot and the diameter of the garden is equal to the side of the square plot which is 28 metres. What is the area of the space left out in the square plot after developing the garden?
      1) 98 m2
      2) 146 m2
      3) 84 m2
      4) 168 m2
      5) None of these
       
       
    66 Amit and Sujit together can complete an assignment of data entry in five days. Sujit’s speed is 80% of Amit’s speed and the total key depressions in the assignment are 5,76,000. What is Amit’s speed in key depressions per hour if they work for 8 hours a day?
      1) 4800
      2) 6400
      3) 8000
      4) 7200
      5) None of these
       
       
    67 Out of five girls and three boys, four children are to be randomly selected for a quiz contest. What is the probability that all the selected children are girls?
      1) 1/14
      2) 1/7
      3) 5/17
      4) 2/17
      5) None of these
       
       
    68 Profit earned by an organisation is distributed among officers and clerks in the ratio of 5 : 3. If the number of officers is 45 and the number of clerks is 80 and the amount received by each officer is Rs. 25,000, what was the total amount of profit earned?
      1) Rs. 22 lakh
      2) Rs. 18.25 lakh
      3) Rs. 18 lakh
      4) Rs. 23.25 lakh
      5) None of these
       
       
    69 A shopkeeper labelled the price of his articles so as to earn a profit of 30% on the cost price. He then sold the articles by offering a discount of 10% on the labelled price. What is the actual per cent profit earned in the deal?
      1) 18%
      2) 15%
      3) 20%
      4) Cannot be determined
      5) None of these
       
       
    70 Mr Shamin’s salary increases every year by 10% in June. If there is no other increase or reduction in the salary and his salary in June 2011 was Rs. 22,385, what was his salary in June 2009?
      1) Rs. 18,650
      2) Rs. 18,000
      3) Rs. 19,250
      4) Rs. 18,500
      5) None of these
       
       
      Directions (Questions: 71-75): In each of these questions, one question is given followed by data in three statements I, II and III. You have to study the question and the data in statements and decide the question can be answered with data in which of the statements and mark your answer accordingly.
       
       
    71 What is the rate of interest pcpa?
    Statements:
    I. The difference between the compound interest and simple interest earned in two years on the amount invested is Rs. 100.
    II. The amount becomes Rs. 19,500 in three years on simple interest.
    III.The simple interest accrued in two years on the same amount at the same rate of interest is Rs. 3,000.
      1) Only I and II
      2) Only I and III
      3) Only II and III
      4) Only I and either II or III
      5) None of these
       
       
    72 What is the speed of the train in kmph?
    Statements:
    I. The train crosses an ‘x’ metre-long platform in ‘n’ seconds.
    II. The length of the train is ‘y’ metres.
    III.The train crosses a signal pole in ‘m’ seconds.
      1) Any two of the three
      2) Only II and III
      3) Only I and III
      4) All I, II and III
      5) Question cannot be answered even with information in all three statements.
       
       
    73 How many students passed in first class?
    Statements:
    I. 85% of the students who appeared in examination have passed either in first class or in second class or in pass class.
    II. 750 students have passed in second class.
    III.The number of students who passed in pass class is 28% of those passed in second class.
      1) All I, II and III
      2) Only I and III
      3) Only II and III
      4) Question cannot be answered even with information in all three statements.
      5) None of these
       
       
    74 What is the amount invested in Scheme ‘B’?
    Statements:
    I. The amounts invested in Schemes ‘A’ and ‘B’ are in the ratio of 2 : 3.
    II. The amount invested in Scheme ‘A’ is 40% of the total amount invested.
    III.The amount invested in Scheme ‘A’ is `45,000.
      1) Only I and II
      2) Only I and III
      3) Only II and III
      4) All I, II and III
      5) Only III and either I or II
       
       
    75 What is the cost of flooring a rectangular hall?
    Statements:
    I. The length of the rectangle is 6 metres.
    II. The breadth of the rectangle is two-thirds of its length.
    III.The cost of flooring the area of 100 cm2 is Rs. 45.
      1) Only I and III
      2) Only II and III
      3) All I, II and III
      4) Question cannot be answered even with data in all three statements.
      5) None of these
       
       
      Directions (Questions: 76-83): Study the following graph carefully to answer these questions.
      Per cent profit earned by two companies producing electronic goods over the years.
    % Profit = (Total Investment/Profit Earned) × 100
    Profit Earned = Total Income – Total Investment in the year
      76-83

    Image 76-83

       
       
    76 If the profit earned in 2006 by Company B was Rs. 8,12,500, what was the total income of the company in that year?
      1) Rs. 12,50,000
      2) Rs. 20,62,500
      3) Rs. 16,50,000
      4) Rs. 18,25,000
      5) None of these
       
       
    77 If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the Company A to that of B in 2005?
      1) 31 : 33
      2) 33 : 31
      3) 34 : 31
      4) 14 : 11
      5) None of these
       
       
    78 If the total amount invested by the two companies in 2009 was Rs. 27 lakh, while the amount invested by Company B was 50% of the amount invested by Company A, what was the total profit earned by the two companies together?
      1) Rs. 21.15 lakh
      2) Rs. 20.70 lakh
      3) Rs. 18.70 lakh
      4) Rs. 20.15 lakh
      5) None of these
       
       
    79 If the income of Company A in 2007 and that in 2008 were equal and the amount invested in 2007 was Rs. 12 lakh, what was the amount invested in 2008?
      1) Rs. 10,87,500
      2) Rs. 10,85,700
      3) Rs. 12,45,000
      4) Rs. 12,85,000
      5) None of these
       
       
    80 If the amount of profit earned by Company A in 2006 was Rs. 10.15 lakh, what was the total investment?
      1) Rs. 13.8 lakh
      2) Rs. 14.9 lakh
      3) Rs. 15.4 lakh
      4) Rs. 14.2 lakh
      5) None of these
       
       
    81 If the amount invested by Company B in 2004 is Rs. 12 lakh and the income of 2004 is equal to the investment in 2005, what is the amount of profit earned in 2005 by Company B?
      1) Rs. 6.6 lakh
      2) Rs. 18.6 lakh
      3) Rs. 10.23 lakh
      4) Rs. 9.6 lakh
      5) None of these
       
       
    82 If the investments of Company A in 2007 and 2008 were equal, what is the difference between the profits earned in the two years if the income in 2008 was Rs. 24 lakh?
      1) Rs. 2.25 lakh
      2) Rs. 3.6 lakh
      3) Rs. 1.8 lakh
      4) Rs. 2.6 lakh
      5) None of these
       
       
    83 If each of the companies A and B invested Rs. 25 lakh in 2010, what was the average profit earned by the two companies?
      1) Rs. 18 lakh
      2) Rs. 22.5 lakh
      3) Rs. 17.5 lakh
      4) Rs. 20 lakh
      5) None of these
       
       
      Directions (Questions: 84-90): Study the following table carefully and answer the questions which follow.
      Number of Candidates found Eligible and the Number of Candidates Short listed for Interview for a recent Recruitment Process for Six Posts from Different States
      84-90

    Image – 84-90

    E–Eligible S– Short listed

       
       
    84 From State B, which post had the highest percentage of candidates short listed?
      1) V
      2) IV
      3) VI
      4) II
      5) None of these
       
       
    85 What is the average number of candidates (approximately) found eligible for Post III from all states?
      1) 6700
      2) 6200
      3) 4200
      4) 4500
      5) 5500
       
       
    86 What is the overall percentage (rounded off to one digit after decimal) of candidates short listed over the total number of candidates eligible for Post I from all the States together?
      1) 9.5%
      2) 12.5%
      3) 7.2%
      4) 6.5%
      5) None of these
       
       
    87 What is the ratio of the total number of candidates shortlisted for all the posts together from State E to that from state G?
      1) 307 : 369
      2) 73 : 79
      3) 6 : 5
      4) 9 : 7
      5) None of these
       
       
    88 The total number of candidates found eligible for Post I from all states together is approximately what per cent of the total number of candidates found eligible for Post VI from all States together?
      1) 45%
      2) 50%
      3) 60%
      4) 55%
      5) 65%
       
       
    89 Which state had the lowest percentage of candidates short listed with respect to candidate eligible for Post IV?
      1) G
      2) F
      3) E
      4) C
      5) None of these
       
       
    90 What is the ratio of the total number of candidates short listed for post V to that for post VI from all states together?
      1) 6:7
      2) 55:96
      3) 165:278
      4) 16:25
      5) None of these
       
       
      Directions (Questions: 91-95): These questions are based on the following data. Study it 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 languages. 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.
       
       
    91 How many boys speak Hindi?
    1) 18
      2) 126
      3) 108
      4) 26
      5) None of these
       
       
    92 How many girls speak only Hindi?
      1) 55
      2) 117
      3) 96
      4) 78
      5) None of these
       
       
    93 How many students speak English?
      1) 304
      2) 79
      3) 225
      4) 117
      5) None of these
       
       
    94 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
       
       
    95 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 (Questions: 96-100): Study the information given in each of these questions and then answer the questions.
       
       
    96 96. The area of the circle is 616 cm2. What is the area of the rectangle? (• or ‘dot’ or indicates centre of the circle the.)

    96
    Image 96

      1)784 cm2
      2) 196 cm2
      3) 392 cm2
      4) Cannot be determined
      5) None of these
       
       
    97 97

    Image 97

      What is the average female population in million?
      1) 8.32
      2) 8.86
      3) 8.68
      4) 9.12
      5) None of these
       
       
    98 98

    Image 98

      What is the per cent rise in production in 2007 from 2006? (Round off to two digits after decimal.)
      1) 28.18%
      2) 18.18%
      3) 16.28%
      4) 26.18%
      5) None of these
       
       
    99 Out of a total 550 students, how many students did not prefer Maths or Economics?
    Break-up of students having preference for each subject
    99

    Image 99

      1) 462
      2) 154
      3) 196
      4) 396
      5) None of these
       
       
    100 100

    Image 100

      What is the difference (in Rs lakh) between the average salary and the lowest salary?
      1) 4.2
      2) 2.65
      3) 3.65
      4) 4.06
      5) None of these

     

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