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Recent questions tagged engineering-mathematics
3
votes
3
answers
151
ISI2018-MMA-15
Let $G$ be a finite group of even order. Then which of the following statements is correct? The number of elements of order $2$ in $G$ is even The number of elements of order $2$ in $G$ is odd $G$ has no subgroup of order $2$ None of the above.
akash.dinkar12
asked
in
Set Theory & Algebra
May 11, 2019
by
akash.dinkar12
3.1k
views
isi2018-mma
engineering-mathematics
discrete-mathematics
set-theory&algebra
group-theory
0
votes
1
answer
152
ISI2018-MMA-14
Let $A$ be a $3× 3$ real matrix with all diagonal entries equal to $0$. If $1 + i$ is an eigenvalue of $A$, the determinant of $A$ equals $-4$ $-2$ $2$ $4$
akash.dinkar12
asked
in
Linear Algebra
May 11, 2019
by
akash.dinkar12
1.6k
views
isi2018-mma
engineering-mathematics
linear-algebra
eigen-value
determinant
1
vote
2
answers
153
ISI2018-MMA-13
If $A =\begin{bmatrix} 2 &i \\ i & 0 \end{bmatrix}$ , the trace of $A^{10}$ is $2$ $2(1+i)$ $0$ $2^{10}$
akash.dinkar12
asked
in
Linear Algebra
May 11, 2019
by
akash.dinkar12
879
views
isi2018-mma
engineering-mathematics
linear-algebra
determinant
3
votes
4
answers
154
ISI2018-MMA-12
The rank of the matrix $\begin{bmatrix} 1 &2 &3 &4 \\ 5& 6 & 7 & 8 \\ 6 & 8 & 10 & 12 \\ 151 & 262 & 373 & 484 \end{bmatrix}$ $1$ $2$ $3$ $4$
akash.dinkar12
asked
in
Linear Algebra
May 11, 2019
by
akash.dinkar12
1.5k
views
isi2018-mma
engineering-mathematics
linear-algebra
rank-of-matrix
1
vote
1
answer
155
ISI2018-MMA-11
The value of $\lambda$ for which the system of linear equations $2x-y-z=12$, $x-2y+z=-4$ and $x+y+\lambda z=4$ has no solution is $2$ $-2$ $3$ $-3$
akash.dinkar12
asked
in
Quantitative Aptitude
May 11, 2019
by
akash.dinkar12
832
views
isi2018-mma
engineering-mathematics
linear-algebra
system-of-equations
1
vote
1
answer
156
ISI2018-MMA-10
A new flag of ISI club is to be designed with $5$ vertical strips using some or all of the four colors: green, maroon, red and yellow. In how many ways this can be done so that no two adjacent strips have the same color? $120$ $324$ $424$ $576$
akash.dinkar12
asked
in
Combinatory
May 11, 2019
by
akash.dinkar12
1.5k
views
isi2018-mma
engineering-mathematics
discrete-mathematics
combinatory
4
votes
1
answer
157
ISI2019-MMA-30
Consider the function $h$ defined on $\{0,1,…….10\}$ with $h(0)=0, \: h(10)=10 $ and $2[h(i)-h(i-1)] = h(i+1) – h(i) \: \text{ for } i = 1,2, \dots ,9.$ Then the value of $h(1)$ is $\frac{1}{2^9-1}\\$ $\frac{10}{2^9+1}\\$ $\frac{10}{2^{10}-1}\\$ $\frac{1}{2^{10}+1}$
Sayan Bose
asked
in
Calculus
May 7, 2019
by
Sayan Bose
1.8k
views
isi2019-mma
engineering-mathematics
discrete-mathematics
set-theory&algebra
functions
2
votes
1
answer
158
ISI2019-MMA-29
Let $\psi : \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function with $\psi(y) =0$ for all $y \notin [0,1]$ and $\int_{0}^{1} \psi(y) dy=1$. Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a twice differentiable function. Then the value of $\lim _{n\rightarrow \infty}n \int_{0}^{100} f(x)\psi(nx)dx$ is $f(0)$ $f’(0)$ $f’’(0)$ $f(100)$
Sayan Bose
asked
in
Calculus
May 7, 2019
by
Sayan Bose
1.9k
views
isi2019-mma
engineering-mathematics
calculus
integration
1
vote
1
answer
159
ISI2019-MMA-28
Consider the functions $f,g:[0,1] \rightarrow [0,1]$ given by $f(x)=\frac{1}{2}x(x+1) \text{ and } g(x)=\frac{1}{2}x^2(x+1).$ Then the area enclosed between the graphs of $f^{-1}$ and $g^{-1}$ is $1/4$ $1/6$ $1/8$ $1/24$
Sayan Bose
asked
in
Calculus
May 7, 2019
by
Sayan Bose
2.1k
views
isi2019-mma
calculus
engineering-mathematics
integration
3
votes
3
answers
160
ISI2019-MMA-27
A general election is to be scheduled on $5$ days in May such that it is not scheduled on two consecutive days. In how many ways can the $5$ days be chosen to hold the election? $\begin{pmatrix} 26 \\ 5 \end{pmatrix}$ $\begin{pmatrix} 27 \\ 5 \end{pmatrix}$ $\begin{pmatrix} 30 \\ 5 \end{pmatrix}$ $\begin{pmatrix} 31 \\ 5 \end{pmatrix}$
Sayan Bose
asked
in
Combinatory
May 7, 2019
by
Sayan Bose
4.9k
views
isi2019-mma
engineering-mathematics
discrete-mathematics
combinatory
0
votes
1
answer
161
ISI2019-MMA-25
Let $a,b,c$ be non-zero real numbers such that $\int_{0}^{1} (1 + \cos^8x)(ax^2 + bx +c)dx = \int_{0}^{2}(1+ \cos^8x)(ax^2 + bx + c) dx =0$ Then the quadratic equation $ax^2 + bx +c=0$ has no roots in $(0,2)$ one root in $(0,2)$ and one root outside this interval one repeated root in $(0,2)$ two distinct real roots in $(0,2)$
Sayan Bose
asked
in
Calculus
May 7, 2019
by
Sayan Bose
1.2k
views
isi2019-mma
engineering-mathematics
calculus
integration
1
vote
2
answers
162
ISI2019-MMA-24
Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a continuous function such that $\lim _{n\rightarrow \infty} f^n(x)$ exists for every $x \in \mathbb{R}$, where $f^n(x) = f \circ f^{n-1}(x)$ for $n \geq 2$ ... $S \subset T$ $T \subset S$ $S = T$ None of the above
Sayan Bose
asked
in
Calculus
May 7, 2019
by
Sayan Bose
1.6k
views
isi2019-mma
engineering-mathematics
calculus
limits
1
vote
1
answer
163
ISI2019-MMA-23
Let $A$ be $2 \times 2$ matrix with real entries. Now consider the function $f_A(x)$ = $Ax$ . If the image of every circle under $f_A$ is a circle of the same radius, then A must be an orthogonal matrix A must be a symmetric matrix A must be a skew-symmetric matrix None of the above must necessarily hold
Sayan Bose
asked
in
Linear Algebra
May 7, 2019
by
Sayan Bose
1.7k
views
isi2019-mma
engineering-mathematics
linear-algebra
matrix
0
votes
3
answers
164
ISI2019-MMA-20
Suppose that the number plate of a vehicle contains two vowels followed by four digits. However, to avoid confusion, the letter $‘O’$ and the digit $‘0’$ are not used in the same number plate. How many such number plates can be formed? $164025$ $190951$ $194976$ $219049$
Sayan Bose
asked
in
Combinatory
May 7, 2019
by
Sayan Bose
2.4k
views
isi2019-mma
engineering-mathematics
discrete-mathematics
combinatory
2
votes
3
answers
165
ISI2019-MMA-19
Let $G =\{a_1,a_2, \dots ,a_{12}\}$ be an Abelian group of order $12$ . Then the order of the element $ ( \prod_{i=1}^{12} a_i)$ is $1$ $2$ $6$ $12$
Sayan Bose
asked
in
Set Theory & Algebra
May 7, 2019
by
Sayan Bose
2.0k
views
isi2019-mma
engineering-mathematics
discrete-mathematics
set-theory&algebra
group-theory
1
vote
1
answer
166
ISI2019-MMA-18
For the differential equation $\frac{dy}{dx} + xe^{-y}+2x=0$ It is given that $y=0$ when $x=0$. When $x=1$, $\:y$ is given by $\text{ln} \bigg(\frac{3}{2e} – \frac{1}{2} \bigg)$ $\text{ln} \bigg(\frac{3e}{2} – \frac{1}{4} \bigg)$ $\text{ln} \bigg(\frac{3}{e} – \frac{1}{2} \bigg)$ $\text{ln} \bigg(\frac{3}{2e} – \frac{1}{4} \bigg)$
Sayan Bose
asked
in
Others
May 6, 2019
by
Sayan Bose
4.5k
views
isi2019-mma
non-gate
engineering-mathematics
calculus
differential-equation
1
vote
2
answers
167
ISI2019-MMA-15
The rank of the matrix $\begin{bmatrix} 0 &1 &t \\ 2& t & -1\\ 2& 2 & 0 \end{bmatrix}$ equals $3$ for any real number $t$ $2$ for any real number $t$ $2$ or $3$ depending on the value of $t$ $1,2$ or $3$ depending on the value of $t$
Sayan Bose
asked
in
Linear Algebra
May 6, 2019
by
Sayan Bose
1.3k
views
isi2019-mma
linear-algebra
engineering-mathematics
matrix
1
vote
2
answers
168
ISI2019-MMA-13
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is $8$ $10$ $12$ $14$
Sayan Bose
asked
in
Linear Algebra
May 6, 2019
by
Sayan Bose
2.2k
views
isi2019-mma
engineering-mathematics
linear-algebra
vector-space
non-gate
0
votes
1
answer
169
ISI2019-MMA-10
The chance of a student getting admitted to colleges $A$ and $B$ are $60\%$ and $40\%$, respectively. Assume that the colleges admit students independently. If the student is told that he has been admitted to at least one of these colleges, what is the probability that he has got admitted to college $A$? $3/5$ $5/7$ $10/13$ $15/19$
Sayan Bose
asked
in
Probability
May 6, 2019
by
Sayan Bose
2.7k
views
isi2019-mma
engineering-mathematics
discrete-mathematics
probability
0
votes
1
answer
170
ISI2019-MMA-6
The solution of the differential equation $\frac{dy}{dx} = \frac{2xy}{x^2-y^2}$ is $x^2 + y^2 = cy$, where $c$ is a constant $x^2 + y^2 = cx$, where $c$ is a constant $x^2 – y^2 = cy$ , where $c$ is a constant $x^2 - y^2 = cx$, where $c$ is a constant
Sayan Bose
asked
in
Calculus
May 6, 2019
by
Sayan Bose
1.1k
views
isi2019-mma
non-gate
engineering-mathematics
calculus
differential-equation
1
vote
1
answer
171
ISI2019-MMA-4
Suppose that $6$-digit numbers are formed using each of the digits $1, 2, 3, 7, 8, 9$ exactly once. The number of such $6$-digit numbers that are divisible by $6$ but not divisible by $9$ is equal to $120$ $180$ $240$ $360$
Sayan Bose
asked
in
Combinatory
May 5, 2019
by
Sayan Bose
2.0k
views
isi2019-mma
engineering-mathematics
discrete-mathematics
combinatory
0
votes
1
answer
172
ISI2019-MMA-2
The number of $6$ digit positive integers whose sum of the digits is at least $52$ is $21$ $22$ $27$ $28$
Sayan Bose
asked
in
Combinatory
May 5, 2019
by
Sayan Bose
3.4k
views
isi2019-mma
engineering-mathematics
discrete-mathematics
combinatory
0
votes
1
answer
173
Gate 2002 - ME
Which of the following functions is not differentiable in the domain $[-1,1]$ ? (a) $f(x) = x^2$ (b) $f(x) = x-1$ (c) $f(x) = 2$ (d) $f(x) = Maximum (x,-x)$
balchandar reddy san
asked
in
Calculus
May 4, 2019
by
balchandar reddy san
2.6k
views
engineering-mathematics
usergate2002
usermod
calculus
differentiation
4
votes
1
answer
174
Vani Institute Question Bank Pg-231 chapter 6
The Eigen values of $A=\begin{bmatrix} a& 1& 0\\1 &a &1 \\0 &1 &a \end{bmatrix}$ are______ $a,a,a$ $0,a,2a$ $-a,2a,2a$ $a,a+\sqrt{2},a-\sqrt{2}$
Hirak
asked
in
Linear Algebra
Apr 25, 2019
by
Hirak
1.2k
views
engineering-mathematics
linear-algebra
eigen-value
1
vote
1
answer
175
ISI2017-PCB-CS-1(b)
Show that if the edge set of the graph $G(V,E)$ with $n$ nodes can be partitioned into $2$ trees, then there is at least one vertex of degree less than $4$ in $G$.
akash.dinkar12
asked
in
Graph Theory
Apr 8, 2019
by
akash.dinkar12
842
views
isi2017-pcb-cs
engineering-mathematics
discrete-mathematics
graph-theory
graph-connectivity
descriptive
0
votes
2
answers
176
Probability - Independent Events
What is the probability that, in six throws of a die, there will be exactly one each of “1”, “2”, “3”, “4”, “5” and “6”? $0.00187220$ $0.01432110$ $0.01176210$ $0.01543210$
zeeshanmohnavi
asked
in
Probability
Mar 8, 2019
by
zeeshanmohnavi
577
views
probability
engineering-mathematics
0
votes
1
answer
177
Ace Test Series: Set Theory & Algebra - Relations
Let $A=\left \{ 1,2,3 \right \}$. Number of relation on $A$ which are neither reflexive, nor irreflexive but symmetric is ___________ Ans given 48 but I got 8 Please verify
srestha
asked
in
Set Theory & Algebra
Mar 7, 2019
by
srestha
850
views
ace-test-series
engineering-mathematics
discrete-mathematics
set-theory&algebra
relations
1
vote
1
answer
178
ISI MMA-2015
Let, $a_{n} \;=\; \left ( 1-\frac{1}{\sqrt{2}} \right ) ... \left ( 1- \frac{1}{\sqrt{n+1}} \right )$ , $n \geq 1$. Then $\lim_{n\rightarrow \infty } a_{n}$ (A) equals $1$ (B) does not exist (C) equals $\frac{1}{\sqrt{\pi }}$ (D) equals $0$
ankitgupta.1729
asked
in
Calculus
Feb 21, 2019
by
ankitgupta.1729
1.3k
views
engineering-mathematics
calculus
userisi2015
usermod
sequence-series
limits
2
votes
1
answer
179
ISI MMA-2015
If two real polynomials $f(x)$ and $g(x)$ of degrees $m\;(\geq2)$ and $n\;(\geq1)$ respectively, satisfy $f(x^{2}+1) = f(x)g(x)$ $,$ for every $x\in \mathbb{R}$ , then (A) $f$ has exactly one real root $x_{0}$ such that $f'(x_{0}) \neq 0$ (B) $f$ has exactly one real root $x_{0}$ such that $f'(x_{0}) = 0$ (C) $f$ has $m$ distinct real roots (D) $f$ has no real root.
ankitgupta.1729
asked
in
Calculus
Feb 20, 2019
by
ankitgupta.1729
1.2k
views
engineering-mathematics
calculus
userisi2015
usermod
0
votes
0
answers
180
Discrete random variable
Na462
asked
in
Probability
Feb 20, 2019
by
Na462
480
views
probability
random-variable
engineering-mathematics
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