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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 given below shows the earnings of two persons on five different days.

    Earnings
    Days PQ
    Monday105150
    Tuesday96110
    Wednesday65122
    Thursday115106
    Friday13068
    What is the ratio of total earnings of P to the total earnings of Q? 
  2. 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?

  3. Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.

    The ratio between the companies having more production than demand and more demand than production is:

  4. Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.

     

    During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?

  5. The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?

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