For the following questions answer them individually
The height of the pillar when it is found that on walking towards it 60 meters in a horizontal line through the base. the angle of elevation of its top changes from $$30^\circ$$ to $$60^\circ$$. its height (in meters) is
The smallest value of x for which $$\left(\frac{12}{x} + 36\right)(4 - x^2) = 0$$ is
If $$\alpha$$ and $$\beta$$ are the roots of the equation $$8x^2 - 3x - 27 = 0$$, then the value of $$\left(\frac{\alpha^2}{\beta}\right)^{\frac{1}{3}} + \left(\frac{\beta^2}{\alpha}\right)^{\frac{1}{3}} =$$
If the number obtained after subtracting x from 2035 leaves the same remainder 5 when it is divided by 9, 10 and 15, then the smallest possible x is
If the remainder obtained whena certain integer x is divided by 5 is 2, then which one of the following is never an integer?
Rahim is 6 years older than David and David is 8 years older than Amar. After 8 years, if Rahim will be twice as old as Amar. then 4 years ago, David’s age was
Set X contains 10 consecutive integers. Sum of the 5 least numbers of the set is 265. The sum of the four greatest numbers of that set is
If the sum of three consecutive numbers in a geometric progression is 26 and the sum of their squares is 364, then the product of those numbers is
The sum of all the natural numbers between 100 and 1000 which are multiples of 5 is
The middle term in the expansion of $$\left(x^2 - \frac{1}{2x}\right)^{10}$$ is