Number of students in different academic programs of a college are provided year-wise.Year Number of students admitted in different programs B.A. B.Sc. B.B.A. B. Com. B.C.A 2021 150 25 50 45 75 2022 225 40 45 62 70 2023 450 65 30 90 73 2024 470 73 35 105 70 2025 500 80 36 132 74
To determine the year in which the ratio of admitted students in the B.A. program to those in all the programs is the lowest, we need to calculate the ratio for each year and compare them.
Step 1: Calculate Total Students for Each Year
- For 2021: Total students = 150 (B.A.) + 25 (B.Sc.) + 50 (B.B.A.) + 45 (B.Com.) + 75 (B.C.A) = 345
- For 2022: Total students = 225 + 40 + 45 + 62 + 70 = 442
- For 2023: Total students = 450 + 65 + 30 + 90 + 73 = 708
- For 2024: Total students = 470 + 73 + 35 + 105 + 70 = 753
- For 2025: Total students = 500 + 80 + 36 + 132 + 74 = 822
Step 2: Compute the Ratio of B.A. Students to Total Students for Each Year
- For 2021: Ratio = \(\frac{150}{345}\)
- For 2022: Ratio = \(\frac{225}{442}\)
- For 2023: Ratio = \(\frac{450}{708}\)
- For 2024: Ratio = \(\frac{470}{753}\)
- For 2025: Ratio = \(\frac{500}{822}\)
Step 3: Calculate the Numerical Value of Each Ratio
- 2021: \(\frac{150}{345} \approx 0.4348\)
- 2022: \(\frac{225}{442} \approx 0.5090\)
- 2023: \(\frac{450}{708} \approx 0.6356\)
- 2024: \(\frac{470}{753} \approx 0.6245\)
- 2025: \(\frac{500}{822} \approx 0.6083\)
Conclusion: The lowest ratio of B.A. students to total students occurs in the year 2021, with a ratio of approximately 0.4348.
Important Questions from Data Interpretation
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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 isStudy the given table and answer the following question:
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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.
Colour Total toys Percentage of cars C1 500 12 C2 600 15 C3 400 12.5 C4 550 10 C5 650 20 C6 450 10 What is the total number of car toys of C2 and C3 taken together?
