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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. What is the key advantage of using Geographic Information Systems (GIS) in disaster research?
  2. What will be the total area of land (million ha) of which 12% area is prone to flood and river erosion ?
  3. The total runs scored by four cricketers P, Q, R, and S in years $2009$ and $2010$ are given in the following table:
     

    Player$2009$$2010$
    P$802$$1008$
    Q$765$$912$
    R$429$$619$
    S$501$$701$


    The player with the lowest percentage increase in total runs is

  4. Study the given table and answer the following question:
    Annual consumption (in hundred tonnes) of tea in five states (A, B, C, D and E) across 6 years (2014 to 2019):

    State
    YearABCDE
    2014112130136105117
    2015122138150140120
    2016124134142144132
    2017132154198149133
    2018135148187151145
    2019153136198150187

    The total consumption of tea in state C in 2015 to 2017 is by what percentage more than the total consumption of tea in states A, B and D in 2015?

  5. The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.

    ColourTotal toysPercentage of cars
    C150012
    C260015
    C340012.5
    C455010
    C565020
    C645010

    What is the total number of car toys of C2 and C3 taken together?

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