Quantitative Aptitude - Arithmetic Ability Questions

If 7x - (3/2) * (4x - 9) = 6.5, then the value of x is?

If sinθ+cosecθ=2, the value of sinnθ+cosecnθ is

If 3n = 2187, then the value of n is:

A batsman makes a score of 81 runs in the 16th match and thus increases his average runs per match by 3. What is his average after the 16th match?

The average of a,b,c is 20 and that of b,c,d is 25; if d=30, then the value of a is

In the given figure, CD and AB are diameters of circle and AB and CD are perpendicular to each other. LQ and SR are perpendiculars to AB abd CD respectively. Radius of circle is 5 cm, PB : PA = 2 : 3 and CN: ND = 2 : 3. What is the length (in cm) of SM ?

If A is 6 times more than B, then by what percentage is B is less than A?

ABCD is square and CDE is an equilateral triangle outside the square. What is the value (in degrees) of ∠BEC?