Permutations an...

If $$ '-'$$ denotes $$'\div ',\ '\div '$$ denotes $$'\times ',\ '+'$$ denotes' - 'and $$'\times '$$ denotes $$'+'$$, then find the value of $$116+9\div 52-4\times 5$$.

If $$n\ \in\ N$$ & $$n$$ is even, then $$\dfrac {1}{1\ .\ (n-1)\ !}+\dfrac {1}{3\ !(n-3)\ !}+\dfrac {1}{5\ !\  (n-5)\ !}+....+\dfrac {1}{(n-1)\ !\ 1\ !}=$$ 

$$40280625, 732375, 16275, 465, 18.6, 1.24,?$$

$$435, 354, 282, 219, 165, ?$$

Find the number .

 There is a specific relationship between the numbers that are given in the following figures. On the basis of the relationship choose the correct alternative to replace the question mark.

if the points A(z),B(-z) and C(z+1) are vertices of an equilateral triangle then ---- test question

If three lines $$x-3y=p,ax+2y=q$$ and $$ax+y=r$$ form a right angled triangle, then 

If the tangent at $$\theta =\frac { \pi  }{ 4 } $$ to the curve $$x=a\cos ^{ 3 }{ \theta  } ,y=a\sin ^{ 3 }{ \theta  } $$ meets the x and y axes in A and B then the area of the triangle OAB is

Area of a triangle whose vertices are $$ (a \cos \theta, b \sin \theta),(-a \sin \theta, b \cos \theta)  $$ and$$ (-a \cos \theta,-b \sin \theta)  $$ is $$ - $$