For the following questions answer them individually
If a 7-storey building has a 28 m long shadow, the number of storeys of the building whose shadow is 48 m long is:
10 women take 16 days to complete a work which can be completed by 6 men in 8Â days. 12 men started working and after 2 days 6 men left, and 5 women joined them. In how many days will the work be completed?
If $$\cos x + \sec x = \frac{7}{2\sqrt{3}}$$, then the value of $$\cos^{2}x + \sec^{2}x$$ will be ___________.
Find the value of $$\frac{\cos^{2}15^{\circ} - \sin^{2}15^{\circ}}{\cos^{2}145^{\circ} + \sin^{2}145^{\circ}}$$
When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15?
If $$\tan A = \frac{3}{8}$$, then the value of $$\frac{3\sin A + 2 \cos A}{3\sin A - 2 \cos A}$$ is:
Rajdhani Express train of length 108 m is running at the speed of 128 km/h. Another train of length 148 m is standing at the station. In what time will the Rajdhani Express cross the other train?
The value of $$\frac{2}{3}-\frac{5}{6}\times\frac{4}{5}\div\frac{4}{3}+\frac{1}{2}$$ is: