selective_sloth's posts
selective_sloth replied to CAT 2007: Quantitative Questions a Day 134 till...
In that case we are done for the day.
selective_sloth replied to CAT 2007: Quantitative Questions a Day 134 till...
Aarav, thanks for the admiration. But kindly don't reduce me to an IITian!
selective_sloth replied to CAT 2007: Quantitative Questions a Day 134 till...
Math Honours? That explains. From where? I was doing my M.Sc Math from I.I.T Bombay.
selective_sloth replied to CAT 2007: Quantitative Questions a Day 134 till...
That is correct Aarav. Did you study Pure Mathematics?
selective_sloth replied to CAT 2007: Quantitative Questions a Day 134 till...
selective_sloth , y shld one count identity map as only 1 , it is possible to have different functions for (1,1) (2,2) (3,3) (4,4)
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selective_sloth replied to CAT 2007: Quantitative Questions a Day 134 till...
I am referring to the binary tree of possible score-lines. The root of this tree is 2 - 0 and the leaf nodes are all 5 - 4. At each node there are at most two branches. Hence, binary tree.
selective_sloth replied to CAT 2007: Quantitative Questions a Day 134 till...
Part A -- Answer is (5)
If f:X -> X where X = {1,2,3,4} such that f.f (x) = x, then f is a bijection. There are 24 bijections from X to X. Of these only 10 are such that f.f (x) = x for all x in X.
In giving these maps explicitly I will use a cyclic notation for convenience.
eg, (1 2) st...
3 3
selective_sloth replied to CAT 2007: Quantitative Questions a Day 51 to 10...
So far.. all the answers are wrong. Somebody has factored n^4 + n^2 + 1 which was a previous problem in this forum in place of n^4 + n^2 + n which is required here.
selective_sloth replied to CAT 2007: Quantitative Questions a Day 51 to 10...
Why is the ratio of the two diagonals 2:1?
selective_sloth replied to CAT 2007: Quantitative Questions a Day 51 to 10...
And of course.. there is that thrill that you sometimes get when you cheat..!