In how many year(s) does the 50% of total number of admitted students in a year is less than the number of students admitted in B.A. program that year?

Question

Prepp Team · Accepted Answer

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).

Prepp Team · Answer

1

Prepp Team · Answer

2

Prepp Team · Answer

3

Expense	Amount
Food	5,000
Rent	20,000
Travel	10,000
Clothing	3,000
Miscellaneous	15,000
Savings	7,500