Quantitative Aptitude - Arithmetic Ability Questions

Select the related number from the given alternatives.
0.02 : 0.002 :: 1/3 : ?

What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

The area of the largest triangle that can be inscribed in a semicircle of radius 6m is

A train of length 100 m crosses another train of length 150 m, running on a parallel track in the opposite direction in 9 seconds. If the speed of trainhaving length 150 m is 40 km/hr, then what is the speed (in km/hr) of the other train?

The distance between places U and V is 1008 km. An express train leaves place U at 9:00 a.m. and runs at a speed of 126 km/hr. The train stops on the way for 20 minutes. At what time (in p.m.) the train will reach at the place V?

Of the 5 numbers whose average is 76, the first is 3/7 times the sum of other 4. The first number is

If 2x + (9/x) = 9, then what is the minimum value of x2+1x2 = ?

The ratio of present ages of R and S is 6:7. Before 12 years the ratio of their ages was 9:11. What is R's present age (in years)?