The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
Recent questions tagged engineeringmathematics
+5
votes
4
answers
1
GATE2020CS1
Consider the functions $e^{x}$ $x^{2}\sin x$ $\sqrt{x^{3}+1}$ Which of the above functions is/are increasing everywhere in $[ 0,1]$? Ⅲ only Ⅱ only Ⅱ and Ⅲ only Ⅰ and Ⅲ only
asked
Feb 12
in
Mathematical Logic
by
Arjun
Veteran
(
435k
points)

1.6k
views
gate2020cs
engineeringmathematics
+2
votes
5
answers
2
GATE2020CS18
Let $G$ be a group of $35$ elements. Then the largest possible size of a subgroup of $G$ other than $G$ itself is _______.
asked
Feb 12
in
Linear Algebra
by
Arjun
Veteran
(
435k
points)

1k
views
gate2020cs
numericalanswers
engineeringmathematics
grouptheory
+3
votes
3
answers
3
GATE2020CS27
Let $A$ and $B$ be two $n \times n$ matrices over real numbers. Let rank($M$) and $\text{det}(M)$ denote the rank and determinant of a matrix $M$, respectively. Consider the following statements. $\text{rank}(AB) = \text{rank }(A) \text{rank }(B)$ ... Which of the above statements are TRUE? I and II only I and IV only II and III only III and IV only
asked
Feb 12
in
Linear Algebra
by
Arjun
Veteran
(
435k
points)

829
views
gate2020cs
discretemathematics
engineeringmathematics
matrices
+4
votes
4
answers
4
GATE2020CS39
Which one of the following predicate formulae is NOT logically valid? Note that $W$ is a predicate formula without any free occurrence of $x$. $\forall x (p(x) \vee W) \equiv \forall x \: ( px) \vee W$ ... $\exists x(p(x) \rightarrow W) \equiv \forall x \: p(x) \rightarrow W$
asked
Feb 12
in
Mathematical Logic
by
Arjun
Veteran
(
435k
points)

1.9k
views
gate2020cs
engineeringmathematics
+4
votes
6
answers
5
GATE2020CS42
The number of permutations of the characters in LILAC so that no character appears in its original position, if the two L’s are indistinguishable, is ______.
asked
Feb 12
in
Combinatory
by
Arjun
Veteran
(
435k
points)

1.5k
views
gate2020cs
numericalanswers
engineeringmathematics
0
votes
3
answers
6
TIFR2020B11
Which of the following graphs are bipartite? Only $(1)$ Only $(2)$ Only $(2)$ and $(3)$ None of $(1),(2),(3)$ All of $(1),(2),(3)$
asked
Feb 11
in
Graph Theory
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

91
views
tifr2020
engineeringmathematics
graphtheory
graphcoloring
0
votes
1
answer
7
TIFR2020A10
In a certain year, there were exactly four Fridays and exactly four Mondays in January. On what day of the week did the $20^{th}$ of the January fall that year (recall that January has $31$ days)? Sunday Monday Wednesday Friday None of the others
asked
Feb 10
in
Probability
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

63
views
tifr2020
engineeringmathematics
probability
0
votes
1
answer
8
TIFR2020A8
Consider a function $f:[0,1]\rightarrow [0,1]$ which is twice differentiable in $(0,1).$ Suppose it has exactly one global maximum and exactly global minimum inside $(0,1).$ What can you say about the behaviour of the first derivative $f'$ and and second derivative $f''$ on ... is zero at atleast one point $f'$ is zero at atleast two points, $f''$ is zero at atleast two points
asked
Feb 10
in
Calculus
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

46
views
tifr2020
engineeringmathematics
calculus
maximaminima
0
votes
1
answer
9
TIFR2020A7
A lottery chooses four random winners. What is the probability that at least three of them are born on the same day of the week? Assume that the pool of candidates is so large that each winner is equally likely to be born on any of the seven days of the week independent of the other ... . $\dfrac{17}{2401}$ $\dfrac{48}{2401}$ $\dfrac{105}{2401}$ $\dfrac{175}{2401}$ $\dfrac{294}{2401}$
asked
Feb 10
in
Probability
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

64
views
tifr2020
engineeringmathematics
probability
independentevents
0
votes
0
answers
10
TIFR2020A4
Fix $n\geq 4.$ Suppose there is a particle that moves randomly on the number line, but never leaves the set $\{1,2,\dots,n\}.$ Let the initial probability distribution of the particle be denoted by $\overrightarrow{\pi}.$ In the first step, if the particle is at position $i,$ it ... $i\neq 1$ $\overrightarrow{\pi}(n) = 1$ and $\overrightarrow{\pi}(i) = 0$ for $i\neq n$
asked
Feb 10
in
Probability
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

35
views
tifr2020
engineeringmathematics
probability
uniformdistribution
0
votes
1
answer
11
TIFR2020A5
Let $A$ be am $n\times n$ invertible matrix with real entries whose column sums are all equal to $1.$ Consider the following statements: Every column in the matrix $A^{2}$ sums to $2.$ Every column in the matrix $A^{3}$ sums to $3.$ Every column in the matrix $A^{1}$ ... $(1)\:\text{or}\:(2)$ all the $3$ statements $(1),(2),$ and $(3)$ are correct
asked
Feb 10
in
Linear Algebra
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

64
views
tifr2020
engineeringmathematics
linearalgebra
matrices
0
votes
0
answers
12
TIFR2020A3
Let $d\geq 4$ and fix $w\in \mathbb{R}.$ Let $S = \{a = (a_{0},a_{1},\dots ,a_{d})\in \mathbb{R}^{d+1}\mid f_{a}(w) = 0\: \text{and}\: f'_{a}(w) = 0\},$ where the polynomial function $f_{a}(x)$ ... is a $d$dimensional vector subspace of $\mathbb{R}^{d+1}$ $S$ is a $(d1)$dimensional vector subspace of $\mathbb{R}^{d+1}$ None of the other options
asked
Feb 10
in
Linear Algebra
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

30
views
tifr2020
engineeringmathematics
linearalgebra
vectorspace
0
votes
1
answer
13
TIFR2020A2
Let $M$ be a real $n\times n$ matrix such that for every nonzero vector $x\in \mathbb{R}^{n},$ we have $x^{T}M x> 0.$ Then Such an $M$ cannot exist Such $Ms$ exist and their rank is always $n$ Such $Ms$ exist, but their eigenvalues are always real No eigenvalue of any such $M$ can be real None of the above
asked
Feb 10
in
Linear Algebra
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

46
views
tifr2020
engineeringmathematics
linearalgebra
rankofmatrix
eigenvalue
0
votes
1
answer
14
TIFR2020A1
Two balls are drawn uniformly at random without replacement from a set of five balls numbered $1,2,3,4,5.$ What is the expected value of the larger number on the balls drawn? $2.5$ $3$ $3.5$ $4$ None of the above
asked
Feb 10
in
Probability
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

47
views
tifr2020
engineeringmathematics
probability
expectation
+1
vote
0
answers
15
Gravner probability
Each day, you independently decide, with probability p, to flip a fair coin. Otherwise, you do nothing. (a) What is the probability of getting exactly 10 Heads in the first 20 days? (b) What is the probability of getting 10 Heads before 5 Tails?
asked
Oct 23, 2019
in
Probability
by
ajaysoni1924
Boss
(
11.1k
points)

113
views
gravner
probability
engineeringmathematics
0
votes
0
answers
16
ISI2017DCG24
The differential equation $x \frac{dy}{dx} y=x^3$ with $y(0)=2$ has unique solution no solution infinite number of solutions none of these
asked
Sep 18, 2019
in
Others
by
gatecse
Boss
(
17.7k
points)

26
views
isi2017dcg
engineeringmathematics
calculus
nongate
differentialequation
0
votes
1
answer
17
Sheldon Ross Chapter2 Question15b
If it is assumed that all $\binom{52}{5}$ poker hands are equally likely, what is the probability of being dealt two pairs? (This occurs when the cards have denominations a, a, b, b, c, where a, b, and c are all distinct.) my approach is: selecting a ... I'm getting answer 0.095 but in the book answer is given 0.0475 where am I going wrong?
asked
Jun 14, 2019
in
Probability
by
aditi19
Loyal
(
5.3k
points)

153
views
probability
sheldonross
engineeringmathematics
0
votes
1
answer
18
SelfDoubt: Diagonalizable Matrix
$1)$ How to find a matrix is diagonalizable or not? Suppose a matrix is $A=\begin{bmatrix} \cos \Theta &\sin \Theta \\ \sin\Theta & \cos\Theta \end{bmatrix}$ Is it diagonalizable? $2)$ What is it’s eigen spaces?
asked
May 27, 2019
in
Linear Algebra
by
srestha
Veteran
(
120k
points)

199
views
engineeringmathematics
linearalgebra
matrices
0
votes
1
answer
19
Maths: Limits
$\LARGE \lim_{n \rightarrow \infty} \frac{n^{\frac{3}{4}}}{log^9 n}$
asked
May 26, 2019
in
Calculus
by
Mk Utkarsh
Boss
(
36.9k
points)

174
views
engineeringmathematics
calculus
limits
+1
vote
1
answer
20
ISI2018PCBCS3
An $n$variable Boolean function $f:\{0,1\}^n \rightarrow \{0,1\} $ is called symmetric if its value depends only on the number of $1’s$ in the input. Let $\sigma_n $ denote the number of such functions. Calculate the value of $\sigma_4$. Derive an expression for $\sigma_n$ in terms of $n$.
asked
May 12, 2019
in
Set Theory & Algebra
by
akash.dinkar12
Boss
(
42.8k
points)

63
views
isi2018pcbcs
engineeringmathematics
discretemathematics
settheory&algebra
functions
descriptive
+1
vote
1
answer
21
ISI2018PCBA1
Consider a $n \times n$ matrix $A=I_n\alpha\alpha^T$, where $I_n$ is the $n\times n$ identity matrix and $\alpha$ is an $n\times 1$ column vector such that $\alpha^T\alpha=1$.Show that $A^2=A$.
asked
May 12, 2019
in
Linear Algebra
by
akash.dinkar12
Boss
(
42.8k
points)

112
views
isi2018pcba
engineeringmathematics
linearalgebra
matrices
descriptive
0
votes
1
answer
22
ISI2018MMA28
Consider the following functions $f(x)=\begin{cases} 1, & \text{if } \mid x \mid \leq 1 \\ 0, & \text{if } \mid x \mid >1 \end{cases}.$ ... at $\pm1$ $h_2$ is continuous everywhere and $h_1$ has discontinuity at $\pm2$ $h_1$ has discontinuity at $\pm 2$ and $h_2$ has discontinuity at $\pm1$.
asked
May 11, 2019
in
Calculus
by
akash.dinkar12
Boss
(
42.8k
points)

106
views
isi2018mma
engineeringmathematics
calculus
continuity
0
votes
0
answers
23
ISI2018MMA30
Consider the function $f(x)=\bigg(1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\dots+\frac{x^n}{n!}\bigg)e^{x}$, where $n\geq4$ is a positive integer. Which of the following statements is correct? $f$ has no local maximum For every $n$, $f$ has a local maximum at $x = 0$ ... at $x = 0$ when $n$ is even $f$ has no local extremum if $n$ is even and has a local maximum at $x = 0$ when $n$ is odd.
asked
May 11, 2019
in
Calculus
by
akash.dinkar12
Boss
(
42.8k
points)

74
views
isi2018mma
engineeringmathematics
calculus
maximaminima
0
votes
0
answers
24
ISI2018MMA29
Let $f$ be a continuous function with $f(1) = 1$. Define $F(t)=\int_{t}^{t^2}f(x)dx$. The value of $F’(1)$ is $2$ $1$ $1$ $2$
asked
May 11, 2019
in
Calculus
by
akash.dinkar12
Boss
(
42.8k
points)

98
views
isi2018mma
engineeringmathematics
calculus
integration
+2
votes
1
answer
25
ISI2018MMA26
Let $C_i(i=0,1,2...n)$ be the coefficient of $x^i$ in $(1+x)^n$.Then $\frac{C_0}{2} – \frac{C_1}{3}+\frac{C_2}{4}\dots +(1)^n \frac{C_n}{n+2}$ is equal to $\frac{1}{n+1}\\$ $\frac{1}{n+2}\\$ $\frac{1}{n(n+1)}\\$ $\frac{1}{(n+1)(n+2)}$
asked
May 11, 2019
in
Combinatory
by
akash.dinkar12
Boss
(
42.8k
points)

212
views
isi2018mma
engineeringmathematics
discretemathematics
generatingfunctions
+1
vote
1
answer
26
ISI2018MMA20
Consider the set of all functions from $\{1, 2, . . . ,m\}$ to $\{1, 2, . . . , n\}$,where $n > m$. If a function is chosen from this set at random, the probability that it will be strictly increasing is $\binom{n}{m}/n^m\\$ $\binom{n}{m}/m^n\\$ $\binom{m+n1}{m1}/n^m\\$ $\binom{m+n1}{m}/m^n$
asked
May 11, 2019
in
Probability
by
akash.dinkar12
Boss
(
42.8k
points)

155
views
isi2018mma
engineeringmathematics
probability
0
votes
1
answer
27
ISI2018MMA19
Let $X_1,X_2, . . . ,X_n$ be independent and identically distributed with $P(X_i = 1) = P(X_i = −1) = p\ $and$ P(X_i = 0) = 1 − 2p$ for all $i = 1, 2, . . . , n.$ ... $a_n \rightarrow p, b_n \rightarrow p,c_n \rightarrow 12p$ $a_n \rightarrow1/2, b_n \rightarrow1/2,c_n \rightarrow0$ $a_n \rightarrow0, b_n \rightarrow0,c_n \rightarrow1$
asked
May 11, 2019
in
Calculus
by
akash.dinkar12
Boss
(
42.8k
points)

58
views
isi2018mma
engineeringmathematics
calculus
limits
0
votes
2
answers
28
ISI2018MMA18
Let $A_1 = (0, 0), A_2 = (1, 0), A_3 = (1, 1)\ $and$\ A_4 = (0, 1)$ be the four vertices of a square. A particle starts from the point $A_1$ at time $0$ and moves either to $A_2$ or to $A_4$ with equal probability. Similarly, in each of the subsequent ... $T$ be the minimum number of steps required to cover all four vertices. The probability $P(T = 4)$ is $0$ $1/16$ $1/8$ $1/4$
asked
May 11, 2019
in
Probability
by
akash.dinkar12
Boss
(
42.8k
points)

85
views
isi2018mma
engineeringmathematics
probability
0
votes
2
answers
29
ISI2018MMA17
There are eight coins, seven of which have the same weight and the other one weighs more. In order to find the coin having more weight, a person randomly chooses two coins and puts one coin on each side of a common balance. If these two coins are found to have the same ... as before. The probability that the coin will be identified at the second draw is $1/2$ $1/3$ $1/4$ $1/6$
asked
May 11, 2019
in
Probability
by
akash.dinkar12
Boss
(
42.8k
points)

113
views
isi2018mma
engineeringmathematics
probability
0
votes
2
answers
30
ISI2018MMA16
Consider a large village, where only two newspapers $P_1$ and $P_2$ are available to the families. It is known that the proportion of families not taking $P_1$ is $0.48$, not taking $P_2$ is $0.58$, taking only $P_2$ is $0.30$. The probability that a randomly chosen family from the village takes only $P_1$ is $0.24$ $0.28$ $0.40$ can not be determined
asked
May 11, 2019
in
Probability
by
akash.dinkar12
Boss
(
42.8k
points)

137
views
isi2018mma
engineeringmathematics
probability
Page:
1
2
3
4
5
6
...
39
next »
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
IITGN PGDIIT Fees/Placement/other info.
Online Python Programming Course by IIT Kanpur
CCMT (Portal for NIT admission) is now open
Generating Functions  All you need to know for GATE
The Truth about M.Tech Placements at IIIT Allahabad.
Follow @csegate
Recent questions tagged engineeringmathematics
Recent Blog Comments
It has been modified. For online admission you...
Is it true that final year students are not...
Is it true ?
I looked into its syllabus and there are some...
kudos bro you made it
51,840
questions
58,630
answers
200,017
comments
111,645
users