Differentiation...

Sum of the three digit numbers (no digit being zero) having the property that all digits are perfect squares, is

The number of ways in which $$6$$ rings can be worn on the four fingers of one hand is

Let $$\int _{ 0 }^{ x }{ \left( \cfrac { bt\cos { 4t } -a\sin { 4t }  }{ { t }^{ 2 } }  \right)  } dt=\cfrac { a\sin { 4x }  }{ x } $$ then $$a$$ and $$b$$ are given by

Directions for questions 1 to 3: Find the related word/ letters/numbers from given alternatives.
12:72::8:?

Select the missing number from the given alternatives.

Choose the correct answer alternatives given.
Select the missing number from the given alternatives.

How many different $$4$$-person committees can be chosen form the $$100$$ members of the Senate ?

Arrange these numbers in ascending order. 
$$756, 567, 657, 676$$ 

If $$8f(x) + 6f\left( {{1 \over x}} \right) = x + 5$$ and $$y = {x^2}f(x)$$ ,then $${{dy} \over {dx}}$$ at x=-1 is equal to

If $$f:\mathrm{R}\to\mathrm{R}$$ is a differentiable function such that $$f'(x)\gt 2f(x)\forall x\in \mathrm{R}$$ and $$f(0)=1$$, then