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Question

Study carefully the table given below and answer the question asked here under.
Number of students in different academic programs of a college are provided year-wise.
YearNumber of students admitted in different programs
B.A.B.Sc.B.B.A.B. Com.B.C.A
202115025504575
202222540456270
202345065309073
2024470733510570
2025500803613274

In which year, the ratio of admitted students to its previous year admitted students, is the highest?

The correct answer is
2023

Student Admission Ratio Analysis

The question asks to identify the year with the highest ratio of admitted students compared to the previous year. This involves calculating the total number of students admitted each year and then determining the year-over-year growth ratio.

Yearly Admissions Data

Year B.A. B.Sc. B.B.A. B.Com. B.C.A. Total Students
2021 150 25 50 45 75 345
2022 225 40 45 62 70 442
2023 450 65 30 90 73 708
2024 470 73 35 105 70 753
2025 500 80 36 132 74 822

Calculate Total Students Per Year

Sum the number of students across all programs for each academic year:

  • 2021 Total: 150 + 25 + 50 + 45 + 75 = 345 students
  • 2022 Total: 225 + 40 + 45 + 62 + 70 = 442 students
  • 2023 Total: 450 + 65 + 30 + 90 + 73 = 708 students
  • 2024 Total: 470 + 73 + 35 + 105 + 70 = 753 students
  • 2025 Total: 500 + 80 + 36 + 132 + 74 = 822 students

Calculate Year-on-Year Admission Ratios

Calculate the ratio of total students in a given year to the total students in the previous year:

  • Ratio for 2022: \(\frac{442}{345} \approx 1.281\)
  • Ratio for 2023: \(\frac{708}{442} \approx 1.602\)
  • Ratio for 2024: \(\frac{753}{708} \approx 1.063\)
  • Ratio for 2025: \(\frac{822}{753} \approx 1.092\)

Identify Highest Admission Ratio Year

Compare the calculated ratios:

  • 1.281 (Year 2022)
  • 1.602 (Year 2023)
  • 1.063 (Year 2024)
  • 1.092 (Year 2025)

The highest ratio is approximately 1.602, corresponding to the year 2023.

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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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