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
The table given below shows the earnings of two persons on five different days.
What is the ratio of total earnings of P to the total earnings of Q?Earnings Days P Q Monday 105 150 Tuesday 96 110 Wednesday 65 122 Thursday 115 106 Friday 130 68 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?
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:
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?
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?
