What is the value of
\[
\frac{1}{1 + \cos(90^\circ - \theta)} + \frac{1}{1 - \cos(90^\circ - \theta)} = \_\_\_\_\_\_\_\_\_
\]
If \(
\left(4a + \frac{5}{a} + 5\right) = 14
\) , what is the value of \(
\left(16a^{2} + \frac{25}{a^{2}}\right)
\)?
Study the following table and answer the question that follows.
A school has four sections A,B,C,D of class IX students.
The result of Science and Mathematics exam are shown in the following table.
| RESULT |
No. of Students
|
|||
| Section A | Section B | Section C | Section D | |
| Failed in both | 24 | 25 | 18 | 20 |
| Failed in Science but passed in Mathematics | 14 | 12 | 10 | 15 |
| Passed in Science but failed in Mathematics | 7 | 6 | 8 | 10 |
| Passed in both | 63 | 60 | 56 | 55 |
What percentage of students of section C Passed in Science but failed in Mathematics?
Ram loses 12(1/2)% of his money and after spending 75% of the remainder, is left with ₹630. How much money did Ram have initially?
If \(
x - \frac{1}{x} = 13
\), what will be the value of \(
x^{4} + \frac{1}{x^{4}}
\) ?
Study the given chart and answer the questions that follows.
The chart shows the quantities of machines (M1,M2,M3) available in different stores (S1,S2,S3,S4).
Which stores have more number of M2 machines than the average number of M2 machines per store?