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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. Who had the best score on either test?

  3. Who had the most consistent scores on both tests?

  4. Who had the least consistent scores on both tests?

  5. Who had the poorest score on either test?

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