If $$ {x=7-4\sqrt{3}}$$ find the value of $$ {\sqrt{x}+{1\over {\sqrt{x}}}}$$.

Length of train A is half as that of train B. Train A and B crosses the platform of length 100 meters in 5 seconds and 6 seconds respectively. If the ratio of speed of train A and B is 2 : 3, Find the length of train B.

The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is 

0.08% of 120% of 40,000 is equal to___.

In a circle, PQ is diameter, RS is chord of length equal to radius of circle. PR and QS when produced intersect at point T. Find the ∠PTQ?

If $$ {x=a^{2\over3}-a^{-2\over3}}$$ then the value of $$ {x^{3}+3x}$$.

If 4sin² θ – 1 = 0 and angle θ is less than 90⁰. The value of cos² θ + tan² θ is:
(Take 0⁰ < θ < 90⁰) 

B is 20% more efficient than A. A started the work and work for x days and then A is replaced by B. B completed the remaining work in x+8 days. Ratio of the work done by A and B is 2:3. In how many days A and B working together can complete the whole work?