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
Analyzing College Admission Data
The question asks to identify the number of years where the number of students admitted to the B.A. program is greater than 50% of the total number of students admitted across all programs in that year.
Student Admissions Data
| Year | 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 | 32 |
| 2024 | 470 | 73 | 35 | 105 | 70 |
| 2025 | 500 | 80 | 36 | 132 | 74 |
Calculating Years: B.A. vs. 50% Total
We need to perform calculations for each year:
- Calculate the total number of students admitted.
- Calculate 50% of the total students.
- Compare this 50% value with the number of B.A. students.
- Count the years where B.A. students > 50% of Total students.
Year-wise Analysis
Year 2021
- Total Students = 150 + 25 + 50 + 45 + 75 = 345
- 50% of Total Students = $\frac{345}{2}$ = 172.5
- B.A. Students = 150
- Comparison: Is 150 > 172.5? No.
Year 2022
- Total Students = 225 + 40 + 45 + 62 + 70 = 442
- 50% of Total Students = $\frac{442}{2}$ = 221
- B.A. Students = 225
- Comparison: Is 225 > 221? Yes. (Count = 1)
Year 2023
- Total Students = 450 + 65 + 30 + 90 + 32 = 667
- 50% of Total Students = $\frac{667}{2}$ = 333.5
- B.A. Students = 450
- Comparison: Is 450 > 333.5? Yes. (Count = 2)
Year 2024
- Total Students = 470 + 73 + 35 + 105 + 70 = 753
- 50% of Total Students = $\frac{753}{2}$ = 376.5
- B.A. Students = 470
- Comparison: Is 470 > 376.5? Yes. (Count = 3)
Year 2025
- Total Students = 500 + 80 + 36 + 132 + 74 = 822
- 50% of Total Students = $\frac{822}{2}$ = 411
- B.A. Students = 500
- Comparison: Is 500 > 411? Yes. (Count = 4)
Final Result
The condition (B.A. students > 50% of Total students) is met in 4 years (2022, 2023, 2024, 2025).
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?
