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Quants Questions : Data Interpretation Set 16

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Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample From Data Intrepretation that is important for IBPS,SBI exam,SSC exam, Railways Exam,FCI exam  and other competitive exams. We have included Some questions that are repeatedly asked in exams !!

I. Study the following information to answer the given questions
line chart

  1. Expenditure of A in 1994 and 1995 are Rs. 12lak and Rs.14lak. What was the total income of A in 1994 and 1995 together ?
    A)Rs.40.8L
    B)Rs.40.4L
    C)Rs.44L
    D)Rs.46.4L
    E)None of these
    B)40.4L
    Explanation :
    1994 E = 12 L
    % P = (I – E)*100 / E
    50 = (I – 12)*100 / 12
    I = 6+12 = 18 L
    1995 E = 14L
    60 = (I – 14)*100 / 14
    I = 22.4L
    Total = 18+22.4 = 40.4L

  2. Ratio of Expenditure of Companies A and B in 1993 was 4:5. What was the ratio of their incomes in the same year ?
    A)58:75
    B)75:58
    C)78:55
    D)72:55
    E) None of these
    A)58:75
    Explanation :
    A : B = 40:50
    45 = (I – 40)*100/40………….(A)
    I = 58L
    50 = (I – 50)*100/50
    I = 75L ………………………………(B)
    A:B = 58:75

  3. Total Expenditure of company B in all the years together was Rs.125L. What was the total income of the company in all the years together ?
    A)Rs.185L
    B)Rs,.520L
    C)Rs.250L
    D)Cannot be determined
    E) None of these
    D)Cannot be determined
    Explanation :Over all % is not known

  4. If the incomes of the B in 1992 and 1993 were in the ratio 3:4, Find the ratio of Expenditures of that company in these 2 years ?
    A)48:55
    B)42:53
    C)58:45
    D)45:58
    E) None of these
    D)45:58
    Explanation :
    Income => 1992:1993 = 3:4 = 30:40
    45 = (30-E)*100/E
    45E/100 = 30 – E
    9E/20 = 30 – E
    9E = 600 – 20E
    29E = 600
    E = 600/29……………1992
    50 = (40 – E)*100 / E
    50E/100 = 40 – E
    E = 2(40 – E)
    E = 80 – 2E
    3E = 80
    E = 80/3
    Ratio = (600/29) / (80/3) = 600*3 / 29*80
    = 1800/2320 = 180/232 = 45/58

  5. If the expenditure of A and B in 1991 were equal and total income of  A and B was
    Rs. 116L, what was the total expenditure of A and B in the same years ?
    A)Rs.84L
    B)Rs.83L
    C)Rs.80L
    D)Rs.40L
    E) None of these
    C)Rs.80L
    Explanation :
    For A
    40 = (I – E)*100/E
    40E = (I – E)100
    2E = 5I – 5E
    5I = 7E
    I = 7/5 E
    For B
    50 = (116-I – E)*100/E
    E = 2(116 – I – E)
    E = 232 -2I – 2E
    2I = 232 – 3E
    I = (232 – 3E)/2
    7/5E = (-232 – 3E)/2
    14E = 1160  – 15E
    29E = 1160
    E = 1160/29 = 40
    2E = 80

II. Study the following information to answer the given questions
table

  1. What is the average no of candidates qualified from  state S over the given years ?
    A)115.7
    B)117.5
    C)157.5
    D)155.7
    E) None of these
    B)117.5
    Explanation :(105+110+120+125+135+110)/6 =  705 / 6 = 117.5

  2. Percentage of candidates qualified over appeared in 1993 is the highest for which of the following state except R?
    A)U
    B)T
    C)Q
    D)R
    E) None of these
    A)U
    Explanation :
    P = 115*100/165 = 69.69
    Q = 125*100/130 = 96.15
    R = 140*100/140 = 100
    S = 120*100/170 = 70.58
    T =140*100/160 = 87.5
    U = 145*100/150 = 96.67
    U has highest % = 96.67

  3. Approximately what is the percentage of candidates qualified over appeared from all 6 states together in 1991 ?
    A)85.90%
    B)84.76%
    C)87.03%
    D)83.07%
    E) None of these
    D)83.07%
    Explanation :
    Q =125+140+110+105+175+130 = 785
    A = 140+165+65+155+185+135 = 945
    % = 785*100/945 = 83.07%

  4. Which year the Percentage of candidates qualified over appeared is low in  the State P ?
    A)1991
    B)1996
    C)1994
    D)1993
    E) None of these
    B)1996
    Explanation :
    1991 = 125*100/140 = 89.28
    1992 = 120*100/130 = 92.30
    1993 = 115*100/165 = 69.69
    1994 = 120*100/145 = 82.76
    1995 = 105*100/170 = 61.76
    1996 = 110*100/180 = 61.11

  5. Total no of candidates qualified in the year 1996 ?
    A)650
    B)860
    C)750
    D)720
    E) None of these
    C)750
    Explanation :Q = 110+175+125+110+120+110 = 750