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 studying in College Q till 2020 is
Answer: C. 3090 — ConceptWhen a group changes through additions and departures, the number remaining at a cutoff date equals the initial number plus all additions up to that…
- A.
3110
- B.
2890
- C.
3090
- D.
3290
Attempted by 1 students.
Show answer & explanation
Correct answer: C
Concept
When a group changes through additions and departures, the number remaining at a cutoff date equals the initial number plus all additions up to that date minus all departures up to that date.
Application
For College Q, total admissions through 2020 = 2100 + 900 + 650 + 570 + 600 = 4820.
Total departures through 2020 = 500 + 430 + 420 + 380 = 1730.
Students studying through 2020 = 4820 - 1730 = 3090.
Cross-check
Starting from 2100 in 2016 and applying each year’s net change gives 2100 + (900 - 500) + (650 - 430) + (570 - 420) + (600 - 380) = 3090. Therefore, the required number is 3090.