There are three taps with diameters of 3cm, 4cm, and 5cm respectively. The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The largest tap alone can fill an empty tank in 81 minutes. If all the drains are opened simultaneously, then how much time (in minutes) will it take to fill the tank?

I. 2^(x+2)+ 2^(-x)=5

II. (1/(y+1)+ 1/(y+5))=(1/(y+2)+ 1/(y+4))

I. 144x² - 163x - 65 = 0

II. 91y² - 128y -48 = 0

I. 3y² - 20y + 25 = 0

II. 3x² - 8x + 5 = 0

I. x² + 91 = 20x

II. 10y² - 29y + 21 = 0

I. 8a² – 22a+ 15 = 0

II. 12b² - 47b + 40=0

I. 63x²+ 148x + 77 = 0

II. 21y²+ 89y + 88 = 0

The quadratic equation (p + 1)x ² -  8(p + 1)x + 8(p + 16) = 0 (where p ≠ -1) has equal roots. find the value of p.

I. 3x² - 22 x + 40 = 0   

II. 4y² + 22y  + 24 = 0    

I. 2y² - 35y + 132 = 0

II. 2x² - 31x + 110 = 0

I. x²– 9x + 18 = 0

II. y²– 5y + 6 = 0