1
KCET 2020
MCQ (Single Correct Answer)
+1
-0

The maximum value of $$\frac{\log _e x}{x}$$, if $$x>0$$ is

A
$$e$$
B
1
C
$$\frac{1}{e}$$
D
$$-\frac{1}{e}$$
2
KCET 2019
MCQ (Single Correct Answer)
+1
-0

The interval in which the function $$f(x)=x^3-6 x^2+9 x+10$$ is increasing in

A
$$[1,3]$$
B
$$(-\infty, 1) \cup(3, \infty)$$
C
$$(-\infty,-1] \cup[3, \infty)$$
D
$$(-\infty, 1] \cup[3, \infty)$$
3
KCET 2019
MCQ (Single Correct Answer)
+1
-0

The sides of an equilateral triangle are increasing at the rate of $$4 \mathrm{~cm} / \mathrm{sec}$$. The rate at which its area is increasing, when the side is $$14 \mathrm{~cm}$$

A
$$42 \mathrm{~cm}^2 / \mathrm{sec}$$
B
$$10 \sqrt{3} \mathrm{~cm}^2 / \mathrm{sec}$$
C
$$14 \mathrm{~cm}^2 / \mathrm{sec}$$
D
$$14 \sqrt{3} \mathrm{~cm}^2 / \mathrm{sec}$$
4
KCET 2018
MCQ (Single Correct Answer)
+1
-0
Approximate change in the volume $V$ of a cube of side $x$ metres caused by increasing the side by $3 \%$ is
A
$0.09 \mathrm{x}^3 \mathrm{~m}^3$
B
$0.03 x^3 \mathrm{~m}^3$
C
$0.06 x^3 \mathrm{~m}^3$
D
$0.04 x^3 \mathrm{~m}^3$
KCET Subjects
EXAM MAP