If x3+ ax2+bx +6 has (x – 2) as a factor and leaves a remainder 3 when divided by (x – 3), the value of a and b respectively are

If x=2+2^2/3+2^1/3, then which of the following is true?

If the equations x2 + ax + b = 0 and x2 + bx + a = 0, have one root in common, then find the value of (a + b).

n⁴ − 20n² + 4 = k where k is a prime number and n is an integer. How many such k exist?

In 1994, students seeking jobs in finance earned Rs. _____ more than those opting for software (in lakhs)

23.999 X 9.004 X 16.997 =?

Solve the following equation 3 (x + 2) + 5 (x + 6) = 56

If xy = 96 and 3y = 2x, then what is the value of x

Find the number of pairs of real numbers x, y such that (x² + 8x +17)(y² − 2y + 6) = 5

A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?