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questions
List of practice Questions
What is the limit of characters for a tweet on Twitter?
TANCET - 2024
TANCET
Computer Awareness
Internet Protocols (FTP)
The address given to each computer on the Internet is known as
TANCET - 2024
TANCET
Computer Awareness
Internet Protocols (FTP)
A compiler is used to translate a program written in
TANCET - 2024
TANCET
Computer Awareness
Computer Languages and Algorithms
If the system of equations:
\[ 3x + 2y + z = 0, \quad x + 4y + z = 0, \quad 2x + y + 4z = 0 \]
is given, then:
TANCET - 2024
TANCET
Engineering Mathematics
Matrices and Determinants
Let
\(M = \begin{bmatrix} 1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}\)
The maximum number of linearly independent eigenvectors of \( M \) is:
TANCET - 2024
TANCET
Engineering Mathematics
Matrices and Determinants
The shortest and longest distance from the point \( (1,2,-1) \) to the sphere \( x^2 + y^2 + z^2 = 24 \) is:
TANCET - 2024
TANCET
Engineering Mathematics
Vectors
The solution of the given ordinary differential equation \( x \frac{d^2 y}{dx^2} + \frac{dy}{dx} = 0 \) is:
TANCET - 2024
TANCET
Engineering Mathematics
Partial Differential Equations
The complete integral of the partial differential equation \( pz^2 \sin^2 x + qz^2 \cos^2 y = 1 \) is:
TANCET - 2024
TANCET
Engineering Mathematics
Partial Differential Equations
The area between the parabolas \( y^2 = 4 - x \) and \( y^2 = x \) is given by:
TANCET - 2024
TANCET
Engineering Mathematics
Integration
The value of the integral
\[ \iiint\limits_{0}^{a, b, c} e^{x+y+z} \, dz \, dy \, dx \]
is:
TANCET - 2024
TANCET
Engineering Mathematics
Integration
If \( \nabla \phi = 2xy^2 \hat{i} + x^2z^2 \hat{j} + 3x^2y^2z^2 \hat{k} \), then \( \phi(x,y,z) \) is:
TANCET - 2024
TANCET
Engineering Mathematics
Vector Calculus
The only function from the following that is analytic is:
TANCET - 2024
TANCET
Engineering Mathematics
Complex Variables
The value of \( m \) so that \( 2x - x^2 + m y^2 \) may be harmonic is:
TANCET - 2024
TANCET
Engineering Mathematics
Complex Variables
The value of \( \oint_C \frac{1}{z} dz \), where \( C \) is the circle \( z = e^{i\theta}, 0 \leq \theta \leq \pi \), is:
TANCET - 2024
TANCET
Engineering Mathematics
Complex Variables
The Region of Convergence (ROC) of the signal \( x(n) = \delta(n - k), k>0 \) is:
TANCET - 2024
TANCET
Engineering Mathematics
Laplace, Fourier and z-transforms
The Laplace transform of a signal \( X(t) \) is
\[ X(s) = \frac{4s + 1}{s^2 + 6s + 3}. \]
The initial value \( X(0) \) is:
TANCET - 2024
TANCET
Engineering Mathematics
Laplace, Fourier and z-transforms
Given the inverse Fourier transform of
\(f(s) = \begin{cases} a - |s|, & |s| \leq a \\ 0, & |s|>a \end{cases}\)
.The value of
\[ \int_0^\pi \left( \frac{\sin x}{x} \right)^2 dx \]
is:
TANCET - 2024
TANCET
Engineering Mathematics
Laplace, Fourier and z-transforms
If \( A = [a_{ij}] \) is the coefficient matrix for a system of algebraic equations, then a sufficient condition for convergence of Gauss-Seidel iteration method is:
TANCET - 2024
TANCET
Engineering Mathematics
Numerical Methods
For applying Simpson's \( \frac{1}{3} \) rule, the given interval must be divided into how many number of sub-intervals?
TANCET - 2024
TANCET
Engineering Mathematics
Numerical Methods
A program that converts Source Code into machine code is called
TANCET - 2024
TANCET
Basic Engineering and Science
Computer Organization and Architecture
Which of the following can adsorb larger volume of hydrogen gas?
TANCET - 2024
TANCET
Basic Engineering and Science
Adsorption
Which one of the following flows in the internal circuit of a galvanic cell?
TANCET - 2024
TANCET
Basic Engineering and Science
Electrochemistry
Which one of the following is not a primary fuel?
TANCET - 2024
TANCET
Basic Engineering and Science
Fuels and Combustion
Which of the following molecules will not display an infrared spectrum?
TANCET - 2024
TANCET
Basic Engineering and Science
Spectroscopy
Which one of the following behaves like an intrinsic semiconductor, at absolute zero temperature?
TANCET - 2024
TANCET
Basic Engineering and Science
Material Science
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