All Engineering Mathematics questions

Single correct

• A1/4
• B1/3
• C1/2
• D2/3

Single correct

• A$n$
• B$n - 1$
• C1
• D$n + 1$

One or more correct

• ADeterminant of $M$ is 1
• BDeterminant of $M$ is 0
• CRank of $M$ is 1
• DThere are at least two non-zero vectors in the null space of $M$

Numerical answer

One or more correct

• A$f$ has a local maximum
• B$f$ has a local minimum
• C$f'$ is continuous over $\mathbb{R}$
• D$f'$ is not differentiable over $\mathbb{R}$

Numerical answer

Single correct

• A$X$ is an exponential random variable
• B$X$ is a normal random variable
• C$X$ is a Poisson random variable
• D$X$ is a uniform random variable

One or more correct

• AThe value of $I(a)$ is independent of the value of $a$
• BThe value of $I(a)$ can vary with the value of $a$
• CThere exists $a \in (-\infty, +\infty)$ such that $I(a)$ is a positive real number
• DThere exists $a \in (-\infty, +\infty)$ such that $I(a)$ is a negative real number

Numerical answer

Numerical answer

Numerical answer

Numerical answer

One or more correct

• AThere is exactly one value of $k$ for which the above system of equations has no solution.
• BThere exist an infinite number of values of $k$ for which the system of equations has no solution.
• CThere exists exactly one value of $k$ for which the system of equations has exactly one solution.
• DThere exists exactly one value of $k$ for which the system of equations has an infinite number of solutions.

Numerical answer

Numerical answer

Single correct

• A$1, -1$
• B$2\sqrt{2}, -2\sqrt{2}$
• C$4\sqrt{2}, -4\sqrt{2}$
• D$64\sqrt{2}, -64\sqrt{2}$

Numerical answer

Numerical answer

Single correct

• A$\begin{pmatrix} 25 & 0 \\ 0 & 25 \end{pmatrix}$
• B$\begin{pmatrix} 125 & 0 \\ 0 & 125 \end{pmatrix}$
• C$\begin{pmatrix} 625 & 0 \\ 0 & 625 \end{pmatrix}$
• D$\begin{pmatrix} 3125 & 0 \\ 0 & 3125 \end{pmatrix}$

Single correct

• A$\sqrt{e}$
• B$e$
• C$e^2$
• D$e - 1$