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 |
For which college was the percentage increase in the number of students studying there from 2016 to 2021 the greatest?
Answer: D. R — ConceptThe 2016 admission figure is the baseline population for each college. The 2021 population is obtained by adding each year’s admissions and subtracting…
- A.
S
- B.
P
- C.
T
- D.
R
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept
The 2016 admission figure is the baseline population for each college. The 2021 population is obtained by adding each year’s admissions and subtracting each year’s departures for 2017–2021; percentage increase = (net increase / 2016 baseline) × 100.
Application
For P, the net addition from 2017 to 2021 is (660−440)+(580−420)+(690−400)+(760−500)+(700−460)=1170. Thus the 2021 number is 2250+1170=3420, and the increase is (1170/2250)×100=52.00%.
For Q, the net addition is (900−500)+(650−430)+(570−420)+(600−380)+(680−440)=1230. Thus the 2021 number is 2100+1230=3330, and the increase is (1230/2100)×100≈58.57%.
For R, the net addition is (840−460)+(800−500)+(720−450)+(680−480)+(820−560)=1410. Thus the 2021 number is 2400+1410=3810, and the increase is (1410/2400)×100=58.75%.
For S, the net addition is (880−500)+(800−520)+(790−440)+(840−450)+(920−480)=1840. Thus the 2021 number is 3200+1840=5040, and the increase is (1840/3200)×100=57.50%.
For T, the net addition is (700−450)+(760−460)+(820−440)+(880−420)+(850−430)=1810. Thus the 2021 number is 3100+1810=4910, and the increase is (1810/3100)×100≈58.39%.
Cross-check
P: 3420/2250 = 1.5200.
Q: 3330/2100 ≈ 1.5857.
R: 3810/2400 = 1.5875.
S: 5040/3200 = 1.5750.
T: 4910/3100 ≈ 1.5839.
The largest ratio is 1.5875, so college R has the maximum percentage increase, 58.75%.