Discussion
A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts.
What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III?
| Grade I | Grade II | Grade III | |
|---|---|---|---|
| Universities | 31% | 62% | 7% |
| Colleges | 9% | 68% | 23% |
Answer: A
The share in Grade III is 22.7 per cent.
Grade III holds 7% of the universities and 23% of the colleges, so count the institutions in each and divide by the total of 504 + 25951 = 26455.
\[ \begin{aligned} 0.07 \times 504 &= 35.28 \\ 0.23 \times 25951 &= 5968.73 \\ 35.28 + 5968.73 &= 6004.01 \end{aligned} \]
\[ \frac{6004.01}{26455} \times 100 \approx 22.7\% \]
Because colleges outnumber universities about fifty to one, the result sits just below the college figure of 23%. Taking the plain average of 7% and 23% gives 15.0, which wrongly gives both groups equal weight; 23.7 and 66.8 do not come from the Grade III shares at all.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development