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?
Madhu has received admission in all schools listed above. She wishes to select the highest overall ranked school whose a) annual tuition fee does not exceed $23,000 and b) median starting salary is at least $70,000. Which school will she select?
What is the minimum value of the expression 2x2+3y2-4x-12y+18?