If p is the third proportional to 8,20 and q is the fourth proportional to 3, 5, 24, then find the value of (2p + q).

140 126 90 104

140

Using direct formula,  Third proportional of A and B = \(\frac{B\; \times\;B}{A}\) p = \(\frac{20\; \times\; 20}{8}\)    =  50 p = \(\frac{5\; \times\; 24}{3}\)    =  40 2p + q = 100 + 40 = 140