If x is such an integer that \(x + \dfrac{1}{x} = \dfrac{65}{8}\) , then find the value of \(x - \dfrac{1}{x}\).
\(\dfrac{63}{6}\)
\(\dfrac{63}{8}\)
\(\dfrac{36}{8}\)
\(\dfrac{32}{6}\)
The below table gives shares traded on Hyderabad, Mubai and Bengaluru stock exchange (in Rs.).Study the table and answer the questions.
| Name of the company | Hyderabad | Mumbai | Bengaluru | |||
| High | Low | High | Low | High | Low | |
| A | 150 | 140 | 180 | 165 | 160 | 155 |
| B | 250 | 225 | 325 | 315 | 300 | 290 |
| C | 180 | 175 | 195 | 180 | 190 | 185 |
| D | 350 | 325 | 410 | 395 | 390 | 375 |
For C, the low rates of shares are less than the average of the low rates of shares of the same company, in the stock exchange(s) is at ?
The following table shows the expenditure of a factory (in lakhs) oer annum on different heads over the given years.
| Year/Expenditure Head | Salary | Transport | Bonus | Loan Interest |
| 1998 | 125 | 38 | 8 | 25 |
| 1999 | 135 | 45 | 18 | 37 |
| 2000 | 149 | 57 | 37 | 39 |
| 2001 | 153 | 63 | 50 | 43 |
What was the avergae expenditure(in lakhs) on transport per year that the factory ahd to pay during the given period?
If cosec x = \( \frac{4}{5} \), then the value of \( \frac{5\sin^2 x + 8\cot^2 x}{27\tan^2 x - 125\cos^2 x} \) is
\( \frac{33}{91} \)
\( \frac{77}{30} \)
\( \frac{55}{87} \)
\( \frac{99}{47} \)