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The following table shows the number of students enrolled in four different Colleges (A-D) during the four years from 2020 to 2023. Based on the data

Reading Comprehension

The following table shows the number of students enrolled in four different Colleges (A-D) during the four years from 2020 to 2023. Based on the data in the table, answer the questions that follow.

Year-wise Enrolment of students in colleges 
Year
Number of Students Enrolled in College
A
B
C
D
2020
1200
900
1000
700
2021
1100
800
1300
900
2022
1400
1000
1200
1100
2023
600
700
800
1000

1) Question

Taking all the Colleges, together, the total number of students enrolled in the year 2020 is ______ more than the total number of students enrolled in the year 2023.

A.

500

B.

900

C.

300

D.

700

Correct option is D

Solution:
For the year 2020:
Total students in 2020 = 1200 (A) + 900 (B) + 1000 (C) + 700 (D) = 3800
For the year 2023:
Total students in 2023 = 600 (A) + 700 (B) + 800 (C) + 1000 (D) = 3100
The difference between the number of students enrolled in 2020 and 2023 = 3800 - 3100 = 700
Hence, the total number of students enrolled in the year 2020 is 700 more than the total number of students enrolled in the year 2023.

2) Question

If the ratio between number of girls and boys in College B in 2021 is 3:5 and the ratio between the number of girls and boys in College C in 2022 is 7:5, then what is the ratio between the number of girls in College B in 2021 to the number of boys of College C in 2022?

A.

2:5

B.

3:5

C.

1:3

D.

2:3

Correct option is B

Given:
Number of students in College B in 2021 = 800
Number of students in College C in 2022 = 1200
Ratio of girls to boys in College B (2021) = 3:5
Ratio of girls to boys in College C (2022) = 7:5
Solution:
Total students in College B in 2021 = 800
Ratio of girls to boys = 3:5
Total parts = 3 + 5 = 8 parts
Number of girls in College B = 38\frac 38​ × 800 = 300 girls

Number of boys in College B = 58×\frac 58 \times 800 = 500 boys
Total students in College C in 2022 = 1200
Ratio of girls to boys = 7:5
Total parts = 7 + 5 = 12 parts
Number of girls in College C  =712\frac{7}{12}​ × 100 = 700 girls

Number of boys in College C = 512\frac 5 {12}​ × 1200 = 500 boys
Ratio between the number of girls in College B (2021) to the number of boys in College C (2022) = 300: 500 = 3: 5

3) Question

For College B in the year 2021, if 20% of students were enrolled in B.Sc, 30% of students were enrolled in B.Com, and the remaining students were enrolled in BCA, then what is the difference between the number of students enrolled in BCA and B.Sc?

A.

260

B.

220

C.

230

D.

240

Correct option is D

Given:
Total number of students in College B in 2021 = 800
20% of students were enrolled in B.Sc
30% of students were enrolled in B.Com
The remaining students were enrolled in BCA
Solution:
Number of students in B.Sc = 20% of 800 = 0.20 × 800 = 160 students
Number of students in B.Com = 30% of 800 = 0.30 × 800 = 240 students
Number of students in BCA = Remaining students = 50% of 800 = 0.50 × 800 = 400 students
Difference between the number of students enrolled in BCA and B.Sc = 400 (BCA) - 160 (B.Sc) = 240 students
Hence, the difference between the number of students enrolled in BCA and B.Sc is 240 students.

4) Question

What is the average number of students enrolled in College B over all the four years?

A.

850

B.

750

C.

840

D.

720

Correct option is A

Given:
Number of students enrolled in College B:
2020: 900 students
2021: 800 students
2022: 1000 students
2023: 700 students
Solution:
Total number of students in College B = 900 + 800 + 1000 + 700 = 3400 students
Average number of students = Total number of studentsNumber of years\frac{\text{Total number of students}}{\text{Number of years}}​​
Average = 34004=850 students\frac{3400}{4} = 850 \, \text{students}​​
Hence, the average number of students enrolled in College B over the four years is 850 students.




5) Question

Number of students enrolled in College A in year 2020 and 2021 together is ______ % more than the number of students enrolled in College C in the year 2022 and 2023 together.

A.

12.5

B.

8.5

C.

10

D.

15

Correct option is D

Given:
Number of students in College A:
2020: 1200 students
2021: 1100 students
Number of students in College C:
2022: 1200 students
2023: 800 students 
Solution:
Total for College C = 1200 + 800 = 2000 students
Total for College A = 1200 + 1100 = 2300 students
Percentage increase in students = (Total for College ATotal for College CTotal for College C)×100\left( \frac{\text{Total for College A} - \text{Total for College C}}{\text{Total for College C}} \right) \times 100​​
Percentage increase = (230020002000)×100=15%\left( \frac{2300 - 2000}{2000} \right) \times 100 = 15\%​​
Hence, the number of students enrolled in College A (2020 and 2021) is 15% more than the number of students enrolled in College C (2022 and 2023).

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