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 shows the monthly expenditure of Saumya. What percent of her monthly salary is she able to save?
Expense Amount Food 5,000 Rent 20,000 Travel 10,000 Clothing 3,000 Miscellaneous 15,000 Savings 7,500 What does the height of the rectangle in a histogram show?
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?
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?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
