Quantitative Aptitude
` Annual income of five schools (in lakhs)
| Source of Income | Schools | ||||
| X | Y | Z | U | V | |
| Tuition Fee | 13 | 26 | 15 | 17 | 16 |
| Semester Fee | 43 | 56 | 39 | 89 | 59 |
| Donation | 14 | 17 | 14 | 50 | 19 |
| Miscellaneous | 25 | 18 | 29 | 13 | 23 |
| Total | 95 | 117 | 97 | 169 | 117 |
In case of how many schools, the income by semester fee is less than three times of donation?
Study the given table and answer the question that follows.
The following table shows the percentage distribution of students in four different schools during the years 2021-22.
| Year | Schools | |||
| School 1 | School 2 | School 3 | School 4 | |
| 2021 | 28 | 25 | 24 | 23 |
| 2022 | 27 | 28 | 23 | 22 |
If there was a total number of 16,000 and 18,000 students during the years 2021 and 2022 respectively, then the difference in number of students in school 4 in 2022 with respect to 2021 is:
What is the toal surface area of a cone whose curved surface area is 550cm2 and radius is 7cm?\(\text{(take } \pi = \dfrac{22}{7}\text{)}\)
Evaluate the given expression \(\dfrac{5}{1+\cot^2\theta} + \dfrac{3}{1+\tan^2\theta} + 2\cos^2\theta\)