The following table shows the percentage (%) of colleges offering the four IT…
2022
The following table shows the percentage (%) of colleges offering the four IT courses on Python, Java, Multimedia and AI in four Indian States A-D, in a certain year. The table also presents the percentage-wise distribution of the number of Colleges in the four states. The total number of Colleges in the four states is 4000. Based on the data in the table, answer the questions 1-5.
State-wise Percentage of Colleges offering IT Courses
State | % of Colleges offering Python | % of Colleges offering Java | % of Colleges offering Multimedia | % of Colleges offering AI | % Distribution of Number of Colleges |
|---|---|---|---|---|---|
A | 86% | 74% | 59% | 56% | 35% |
B | 80% | 92% | 82% | 84% | 15% |
C | 74% | 88% | 84% | 86% | 20% |
D | 68% | 64% | 68% | 70% | 30% |
The number of Colleges offering the Python course is more than 460 in
Answer: A. All the four states — ConceptWhen a total is distributed by state, the number in a state equals the overall total multiplied by that state’s distribution percentage. For a course…
- A.
All the four states
- B.
Only three states
- C.
Only two states
- D.
Only one state
Show answer & explanation
Correct answer: A
Concept
When a total is distributed by state, the number in a state equals the overall total multiplied by that state’s distribution percentage.
For a course offered by a percentage of that state’s colleges, multiply once more by the course percentage. Compare each resulting count with the stated threshold.
Application
State A has 4000 × 35% = 1400 colleges; Python is offered by 1400 × 86% = 1204 colleges.
State B has 4000 × 15% = 600 colleges; Python is offered by 600 × 80% = 480 colleges.
State C has 4000 × 20% = 800 colleges; Python is offered by 800 × 74% = 592 colleges.
State D has 4000 × 30% = 1200 colleges; Python is offered by 1200 × 68% = 816 colleges.
Cross-check
The four state distributions add to 35% + 15% + 20% + 30% = 100%, so every college is counted once. The smallest Python-course count is 480, which is still greater than 460.
Therefore, the number of colleges offering Python is more than 460 in all four states.