One fourth of the sum of the odd numbers greater than 14 but less than 50 is the square of -

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

A man fills a basket with eggs in such a way that the number of eggs added on each successive day is the same as the number already present in the basket. This way the basket gets completely filled i…

If z = x + iy is a complex number such that iz = 2 + 3i, then the value of x − y 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 ?

Among five persons A, B, C, D and E, A is shorter than B but taller than E. C is the tallest. D is shorter than B but taller than A. Who among them is shortest?