Attempt all questions, marks of the questions are indicated on the right in brackets
Ques. 1(a) Prove that √3 is an irrational number (10)
“Frigety frack!, what fresh hell is this??”, I went into flashback where my pre-high school teacher was teaching us “All roots are irrational numbers”, now riddle me this, you taught us basics on an elementary level and now after ten years you come ask to prove that statement of yours, No Sir! I so refuse to answer this and would be adversarial to this injustice (but now I realize that I should not have done it because when my rebellious attitude would reflect in my results and it wouldn’t be a pretty sight).
I started doodling and scrawling in the allotted ‘rough-work’ box. I gazed upon the newly installed board, a smooth glistening surface and the partly removed polythene cover seemed like a couple of soaring waves and a whale with lazy eye, a very cheerful Moby Dick it seemed like. While I was seeking answers from the board, others were trying to sap it from ceilings and windows and one guy from his sub-conscious mind as he dozed off. A ‘best of luck’ of message for some 'Saurabh Uniyal' was scrolled over the wall, invigilators whispering and giggling among themselves, maybe mocking others to compensate for the null in their socially deprived lives.
Finally , the moment of epiphany struck me in a tenure of an hour, i realized it was of no use sitting here and doodling poetry in a maths exam, "better waste time indulging in something recreational rather than wasting it here" and with this thought, I gathered all my stationary(a pen) and handed over the paper to the teacher who I thought had an expression of either scorn or constipation, just smiled back and stepped out to think more about waves and whales. :)