What is the largest power of 10 that divides the product 29×28×27 x...2×1?

If x is the largest and y is the lowest among ∜6, √2 and ∛4, then (x³+y²)/(x³−y²) is

If 2 is a zero of the polynomial p(x) = x³ + 3x² - 6x - a then what is the sum of the squares of the other zeros of the polynomial ?

If the product of the roots of the equation 3kx^2 - 25kx + k + 8 = 0 is 3, then k is

If 2^(x−1) + 2^(x+1) = 1280, then the value of x²+9x is

Suppose n is an integer such that the sum of the digits of n is 2, and 10¹⁰ <n < 10¹¹, The number of different values for n is