(a) Find the value of ' $\mathrm{p}$ ' for which the quadratic equation $\mathrm{p}\left(\mathit{x}-4\right)\left(\mathit{x}-2\right)+$ ${\left(\mathit{x}-1\right)}^2=0$ has real and equal roots.
OR
(b) Had Aarush scored 8 more marks in a Mathematics test, out of 35 marks, 7 times these marks would have been 4 less than square of his actual marks. How many marks did he get in the test?