Question

List-I	List-II
(P) The minimum value of n for which the function
$f(x) = \frac{[10x^3 - 45x^2 + 60x + 35]}{n}$ is continuous on the interval [1,2], is	(1) 8
(Q) The minimum value of n for which $g(x) = (2n^2 - 13n - 15)(x^3 + 3x), x \in \mathbb{R}$, is an increasing function on $\mathbb{R}$, is	(2) 9
(R) The smallest natural number n which is greater than 5, such that x=3 is a point of local minima of $h(x) = (x^2 - 9)^n(x^2 + 2x + 3)$, is	(3) 5
(S) Number of $x_0 \in \mathbb{R}$ such that $l(x) = \sum_{k=0}^{4} (	\sin{x} - k
(5) 10

• A. (P) $\rightarrow$ (1) (Q) $\rightarrow$ (3) (R) $\rightarrow$ (2) (S) $\rightarrow$ (5)
• B. (P) $\rightarrow$ (2) (Q) $\rightarrow$ (1) (R) $\rightarrow$ (4) (S) $\rightarrow$ (3)
• C. (P) $\rightarrow$ (5) (Q) $\rightarrow$ (1) (R) $\rightarrow$ (4) (S) $\rightarrow$ (3)
• D. (P) $\rightarrow$ (2) (Q) $\rightarrow$ (3) (R) $\rightarrow$ (1) (S) $\rightarrow$ (5)

Answer 1

Answer: (C)

C

Answer 2

The correct matching is:

• (P) $\rightarrow$ (5)
• (Q) $\rightarrow$ (1)
• (R) $\rightarrow$ (4)
• (S) $\rightarrow$ (3)