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Question

Study carefully the table given below and answer the question asked here under.
A college has four programs B.A., B.Sc., B.Com. and B.B.A. The results of the mid-semester and end-semester tests are shown in the table given below.
ResultsNumber of students
Β.Α.B.Sc.B.Com.Β.Β.Α.
Failed in both tests28231727
Failed in mid-semester test but passed in end-semester test1412813
passed in mid-semester test but failed in end-semester test617915
Passed in both tests64554676

How many students are there in the four programs ?

The correct answer is
430

Calculating Total Students Across College Programs

To find the total number of students in the four programs (B.A., B.Sc., B.Com., B.B.A.), we need to sum the counts for all categories within each program and then sum the totals for all programs.

B.A. Program Total

Students in B.A. = Failed in both + Failed mid, passed end + Passed mid, failed end + Passed both

B.A. = $28 + 14 + 6 + 64 = 112$ students

B.Sc. Program Total

Students in B.Sc. = Failed in both + Failed mid, passed end + Passed mid, failed end + Passed both

B.Sc. = $23 + 12 + 17 + 55 = 107$ students

B.Com. Program Total

Students in B.Com. = Failed in both + Failed mid, passed end + Passed mid, failed end + Passed both

B.Com. = $17 + 8 + 9 + 46 = 80$ students

B.B.A. Program Total

Students in B.B.A. = Failed in both + Failed mid, passed end + Passed mid, failed end + Passed both

B.B.A. = $27 + 13 + 15 + 76 = 131$ students

Overall Student Count

Total students in all four programs = B.A. Total + B.Sc. Total + B.Com. Total + B.B.A. Total

Total Students = $112 + 107 + 80 + 131 = 430$ students

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Important Questions from Data Interpretation

  1. The table shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?

    ExpenseAmount
    Food5,000
    Rent20,000
    Travel10,000
    Clothing3,000
    Miscellaneous15,000
    Savings7,500

  2. What does the height of the rectangle in a histogram show?

  3. Following table provides figures (in rupees) on annual expenditure of a firm for two years – 2010 and 2011.

    Category

    2010

    2011

    Raw material

    5200

    6240

    Power & fuel

    7000

    9450

    Salary & wages

    9000

    12600

    Plant & machinery

    20000

    25000

    Advertising

    15000

    19500

    Research & Development

    22000

    26400

    In 2011, which of the following two categories have registered increase by same percentage?

  4. Read the following table giving sales data of five types of batteries for years 2006 to 2012

    Year

    Type I

    Type II

    Type III

    Type IV

    Type V

    2006

    75

    144

    114

    102

    108

    2007

    90

    126

    102

    84

    126

    2008

    96

    114

    75

    105

    135

    2009

    105

    90

    150

    90

    75

    2010

    90

    75

    135

    75

    90

    2011

    105

    60

    165

    45

    120

    2012

    115

    85

    160

    100

    145


    Out of the following which type of battery achieved highest growth between the years 2006 and 2012?
  5. Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F and G?

    A

    D

    B

    G

    E

    C

    F

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