What does F in the PMFME scheme stand

LCM of 'x' and 'y' is 30 and their HCF is 1 such that {10 > x > y > 1}.

I. 2p²- (x + y) p + 3y = 0

II. 2q² + (9x + 2) = (3x + y) q

I. 96x² + 52x - 63 = 0

II. 77y² + 155y + 72 = 0

I. 10p² + 21p + 8 = 0

II. 5q² + 19q + 18 = 0

I. 8x² + 2x – 3 = 0

II. 6y² + 11y + 4 = 0

If the roots of the quadratic equation 6m² + 7m + 8 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?

I. 27x⁶ - 152x³ + 125 = 0

II. 216y⁶ - 91y³ + 8 = 0

I. x² + 13x + 42 = 0

II. y² + 13y + 40 = 0

How many values of x and y satisfy the equation 2x + 4y = 8 & 3x + 6y = 10.

I. 8x² - 2x – 15 = 0

II. 12y² - 17y – 40 = 0