Engineering Mathematics
Probability and Statistics
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
Linear Algebra
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
1
GATE CE 2025 Set 2
MCQ (More than One Correct Answer)
+2
-0

Consider the function given below and pick one or more CORRECT statement(s) from the following choices.

$$ f(x)=x^3-\frac{15}{2} x^2+18 x+20 $$

A
$f(x)$ has a local minimum at $x=3$
B
$f(x)$ has a local maximum at $x=3$
C
$f(x)$ has a local minimum at $x=2$
D
$f(x)$ has a local maximum at $x=2$
2
GATE CE 2025 Set 1
MCQ (Single Correct Answer)
+2
-0.67

$$ \text { The value of }\mathop {\lim }\limits_{x \to \infty } \left(x-\sqrt{x^2+x}\right) \text { is equal to }$$

A
-1
B
-0.5
C
-2
D
0
3
GATE CE 2025 Set 1
Numerical
+2
-0

The maximum value of the function $h(x)=-x^3+2 x^2$ in the interval $[-1,1.5]$ is equal to _________ . (rounded off to 1 decimal place)

Your input ____
4
GATE CE 2024 Set 2
Numerical
+2
-0

The expression for computing the effective interest rate $(i_{eff})$ using continuous compounding for a nominal interest rate of 5% is

$i_{eff} = \lim\limits_{m \to \infty} \left(1 + \frac{0.05}{m}\right)^m - 1$

The effective interest rate (in percentage) is ___________ (rounded off to 2 decimal places).

Your input ____
GATE CE Subjects
Engineering Mechanics
Strength of Materials Or Solid Mechanics
Structural Analysis
Construction Material and Management
Reinforced Cement Concrete
Steel Structures
Geotechnical Engineering
Fluid Mechanics and Hydraulic Machines
Hydrology
Irrigation
Geomatics Engineering Or Surveying
Environmental Engineering
Transportation Engineering
Engineering Mathematics
General Aptitude