The following table shows the number of students admitted (A) and left (L)…
2022
The following table shows the number of students admitted (A) and left (L) from the five different colleges (P-T) during the years 2016-2021. Year of foundation of all the five colleges is 2016. Based on the data in the table, answer the questions 1-5:
Year-wise Distribution of Students
Year | P A | P L | Q A | Q L | R A | R L | S A | S L | T A | T L |
|---|---|---|---|---|---|---|---|---|---|---|
2016 | 2250 | - | 2100 | - | 2400 | - | 3200 | - | 3100 | - |
2017 | 660 | 440 | 900 | 500 | 840 | 460 | 880 | 500 | 700 | 450 |
2018 | 580 | 420 | 650 | 430 | 800 | 500 | 800 | 520 | 760 | 460 |
2019 | 690 | 400 | 570 | 420 | 720 | 450 | 790 | 440 | 820 | 440 |
2020 | 760 | 500 | 600 | 380 | 680 | 480 | 840 | 450 | 880 | 420 |
2021 | 700 | 460 | 680 | 440 | 820 | 560 | 920 | 480 | 850 | 430 |
The number of students leaving is approximately ______ % of the number of students taking admission in College Q from the year 2016 to 2021.
Answer: C. 39 — ConceptA percentage compares a part with a whole: percentage = (part ÷ whole) × 100. For totals across several years, first add all yearly values for each…
- A.
37
- B.
43
- C.
39
- D.
41
Attempted by 1 students.
Show answer & explanation
Correct answer: C
Concept
A percentage compares a part with a whole: percentage = (part ÷ whole) × 100.
For totals across several years, first add all yearly values for each category, then form the ratio using the required numerator and denominator.
Application
Total admissions in College Q = 2100 + 900 + 650 + 570 + 600 + 680 = 5500.
The dash in 2016 means no student left in the foundation year. Total students who left College Q = 0 + 500 + 430 + 420 + 380 + 440 = 2170.
Required percentage = (2170 ÷ 5500) × 100 = 39.45%, approximately.
Cross-check
As a check, 39% of 5500 is 2145, which is close to 2170; 41% is 2255.
Therefore, the nearest offered percentage is 39%.