Number of subordinates a superior can supervise

I. 2p² + 5p + 2 = 0               II. 2q² + 11 q + 14 = 0

3 pens + 5 pencils = ₹49

4 pens + 3 pencils = ₹47

Find cost of one pen.

If α and β are roots of the equation x² - 9x + 20 = 0, then find α² + β².

For given pair of equations, how many solutions are possible?

5x − 2y = 12 and 10x − 4y = 24

If 0.4x + 0.6y = 26 and x - y = 10, find x.

For which value of m, there is no solution to the equation -

a – b = 5

ma – 4b = 1

If in two linear equations ax + by = c and dx + ey = f and a/d = b/e = c/f  then, which of the following is true about the two equations?

The ratio of roots of the equation mx² + nx + n = 0 is α/ β = a/b, then find the value of `sqrt(a/b)+sqrt(b/a)+sqrt(n/m)`

The slope of the equation  24x+ 8y =56 is