Quantitative Aptitude
The table shows number of officers working in 6 companies.
| Companies | Officers |
| D | 400 |
| E | 500 |
| F | 600 |
| G | 350 |
| H | 450 |
| I | 800 |
What is the total number of officers working in all the companies?
What is the value of sin4θ − cos4θ if
\(
\frac{\sin \theta + \cos \theta}{\sin \theta - \cos \theta} = \frac{3}{2}
\)
In a circle of radius 3 cm, two chords of length 2 cm and 3 cm lie on the same side of a diameter. What is the perpendicular distance between the two chords?
\(
\frac{4\sqrt{3} - 3\sqrt{2}}{2} \, \text{cm}
\)
\(
\frac{4\sqrt{2} - 3\sqrt{3}}{2} \, \text{cm}
\)
\(
\frac{4\sqrt{2} - 3\sqrt{3}}{3} \, \text{cm}
\)
\(
\frac{4\sqrt{2} - 3\sqrt{3}}{4} \, \text{cm}
\)
If k + (1/k) = 4, then what is the value of
\(
k^4 + \frac{1}{k^4}
\)