JEE Advance 2025 Paper 1

Match the functions of $n$  . (P) Min $n$   for $f(x) = [\frac{10x^3-45x^2+60x+35}{n}]$   continuous on [1,2]. (Q) Min $n$   for $g(x) = (2n^2-13n-15)(x^3+3x)$   increasing. (R) Smallest $n > 5$   such that $x=3$   is local minima of $h(x)=(x^2-9)^n(x^2+2x+3)$  . (S) Count of points where $l(x) = \sum_{k=0}^4 (\sin|x-k| + \cos|x-k+0.5|)$   is NOT differentiable.