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Hot questions in Engineering Mathematics
0
votes
2
answers
2921
self doubt
What is the general formula for number of simple graph having n unlabelled vertices ??
What is the general formula for number of simple graph having n unlabelled vertices ??
Doraemon
1.3k
views
Doraemon
asked
Mar 31, 2019
Graph Theory
simple-graph
+
–
1
votes
1
answer
2922
ISI2015-MMA-52
Two coins are tossed independently where $P$(head occurs when coin $i$ is tossed) $=p_i, \: i=1,2$. Given that at least one head has occurred, the probability that coins produced different outcomes is $\frac{2p_1p_2}{p_1+p_2-2p_1p_2}$ $\frac{p_1+p_2-2p_1p_2}{p_1+p_2-p_1p_2}$ $\frac{2}{3}$ none of the above
Two coins are tossed independently where $P$(head occurs when coin $i$ is tossed) $=p_i, \: i=1,2$. Given that at least one head has occurred, the probability that coins ...
Arjun
737
views
Arjun
asked
Sep 23, 2019
Probability
isi2015-mma
probability
independent-events
+
–
0
votes
1
answer
2923
ISI2016-MMA-25
A integer is said to be a $\textbf{palindrome}$ if it reads the same forward or backward. For example, the integer $14541$ is a $5$-digit palindrome and $12345$ is not a palindrome. How many $8$-digit palindromes are prime? $0$ $1$ $11$ $19$
A integer is said to be a $\textbf{palindrome}$ if it reads the same forward or backward. For example, the integer $14541$ is a $5$-digit palindrome and $12345$ is not a ...
go_editor
384
views
go_editor
asked
Sep 13, 2018
Combinatory
isi2016-mmamma
combinatory
+
–
3
votes
2
answers
2924
Power Set
$R=P\left ( P\left ( P\left ( \phi \right ) \right ) \right )$ $T=P\left ( P\left ( \left \{ 1,2 \right \} \right ) \right )$ What is cardinality of set $S$, where $S=R\times T$
$R=P\left ( P\left ( P\left ( \phi \right ) \right ) \right )$$T=P\left ( P\left ( \left \{ 1,2 \right \} \right ) \right )$What is cardinality of set $S$, where $S=R\tim...
srestha
574
views
srestha
asked
Dec 28, 2017
Set Theory & Algebra
discrete-mathematics
set-theory
+
–
2
votes
1
answer
2925
ISI2014-DCG-13
Let the function $f(x)$ be defined as $f(x)=\mid x-1 \mid + \mid x-2 \:\mid$. Then which of the following statements is true? $f(x)$ is differentiable at $x=1$ $f(x)$ is differentiable at $x=2$ $f(x)$ is differentiable at $x=1$ but not at $x=2$ none of the above
Let the function $f(x)$ be defined as $f(x)=\mid x-1 \mid + \mid x-2 \:\mid$. Then which of the following statements is true?$f(x)$ is differentiable at $x=1$$f(x)$ is di...
Arjun
570
views
Arjun
asked
Sep 23, 2019
Calculus
isi2014-dcg
calculus
differentiation
+
–
0
votes
1
answer
2926
ISI2015-MMA-94
Let $G$ be the group $\{\pm1, \pm i \}$ with multiplication of complex numbers as composition. Let $H$ be the quotient group $\mathbb{Z}/4 \mathbb{Z}$. Then the number of nontrivial group homomorphisms from $H$ to $G$ is $4$ $1$ $2$ $3$
Let $G$ be the group $\{\pm1, \pm i \}$ with multiplication of complex numbers as composition. Let $H$ be the quotient group $\mathbb{Z}/4 \mathbb{Z}$. Then the number of...
Arjun
811
views
Arjun
asked
Sep 23, 2019
Set Theory & Algebra
isi2015-mma
group-theory
non-gate
+
–
2
votes
2
answers
2927
testbook
Which of the above lattice is distributve? a) both iii and iv) b) only iv)
Which of the above lattice is distributve?a) both iii and iv)b) only iv)
GATE2017TP
415
views
GATE2017TP
asked
Oct 16, 2016
1
votes
1
answer
2928
Kenneth Rosen Edition 7 Exercise 1.4 Question 17 (Page No. 53)
Suppose that the domain of the propositional function $P(x)$ consists of the integers $0,1,2,3, 4.$ Write out each of these propositions using disjunctions, conjunctions, and negations. $\exists x P(x)$ $\forall x P(x)$ $\exists x \sim P(x)$ $\forall x \sim P(x)$ $\sim \exists x P(x)$ $\sim \forall x P(x)$
Suppose that the domain of the propositional function $P(x)$ consists of the integers $0,1,2,3, 4.$ Write out each of these propositions using disjunctions, conjunctions,...
Pooja Khatri
8.7k
views
Pooja Khatri
asked
Mar 16, 2019
Mathematical Logic
kenneth-rosen
discrete-mathematics
mathematical-logic
propositional-logic
+
–
1
votes
1
answer
2929
ISI2015-MMA-36
For non-negative integers $m$, $n$ define a function as follows $f(m,n) = \begin{cases} n+1 & \text{ if } m=0 \\ f(m-1, 1) & \text{ if } m \neq 0, n=0 \\ f(m-1, f(m,n-1)) & \text{ if } m \neq 0, n \neq 0 \end{cases}$ Then the value of $f(1,1)$ is $4$ $3$ $2$ $1$
For non-negative integers $m$, $n$ define a function as follows$$f(m,n) = \begin{cases} n+1 & \text{ if } m=0 \\ f(m-1, 1) & \text{ if } m \neq 0, n=0 \\ f(m-1, f(m,n-1))...
Arjun
527
views
Arjun
asked
Sep 23, 2019
Calculus
isi2015-mma
calculus
functions
non-gate
+
–
6
votes
1
answer
2930
ISI2018-MMA-26
Let $C_i(i=0,1,2...n)$ be the coefficient of $x^i$ in $(1+x)^n$.Then $\frac{C_0}{2} – \frac{C_1}{3}+\frac{C_2}{4}-\dots +(-1)^n \frac{C_n}{n+2}$ is equal to $\frac{1}{n+1}\\$ $\frac{1}{n+2}\\$ $\frac{1}{n(n+1)}\\$ $\frac{1}{(n+1)(n+2)}$
Let $C_i(i=0,1,2...n)$ be the coefficient of $x^i$ in $(1+x)^n$.Then $\frac{C_0}{2} – \frac{C_1}{3}+\frac{C_2}{4}-\dots +(-1)^n \frac{C_n}{n+2}$ is equal to$\frac{1}{n+...
akash.dinkar12
1.9k
views
akash.dinkar12
asked
May 11, 2019
Combinatory
isi2018-mma
engineering-mathematics
discrete-mathematics
generating-functions
+
–
0
votes
1
answer
2931
Maths
HOW MANY ways we can distribute 10 objects to 3 children so that every child gets atleast one object?
HOW MANY ways we can distribute 10 objects to 3 children so that every child gets atleast one object?
Raghav Khajuria
542
views
Raghav Khajuria
asked
Jan 9, 2019
2
votes
1
answer
2932
ISI2015-DCG-24
If the letters of the word $\textbf{COMPUTER}$ be arranged in random order, the number of arrangements in which the three vowels $O, U$ and $E$ occur together is $8!$ $6!$ $3!6!$ None of these
If the letters of the word $\textbf{COMPUTER}$ be arranged in random order, the number of arrangements in which the three vowels $O, U$ and $E$ occur together is$8!$$6!$$...
gatecse
742
views
gatecse
asked
Sep 18, 2019
Combinatory
isi2015-dcg
combinatory
arrangements
+
–
2
votes
1
answer
2933
ISI2014-DCG-12
The integral $\int _0^{\frac{\pi}{2}} \frac{\sin^{50} x}{\sin^{50}x +\cos^{50}x} dx$ equals $\frac{3 \pi}{4}$ $\frac{\pi}{3}$ $\frac{\pi}{4}$ none of these
The integral $$\int _0^{\frac{\pi}{2}} \frac{\sin^{50} x}{\sin^{50}x +\cos^{50}x} dx$$ equals$\frac{3 \pi}{4}$$\frac{\pi}{3}$$\frac{\pi}{4}$none of these
Arjun
732
views
Arjun
asked
Sep 23, 2019
Calculus
isi2014-dcg
calculus
definite-integral
integration
+
–
3
votes
1
answer
2934
ISI2014-DCG-9
The values of $\eta$ for which the following system of equations $\begin{array} {} x & + & y & + & z & = & 1 \\ x & + & 2y & + & 4z & = & \eta \\ x & + & 4y & + & 10z & = & \eta ^2 \end{array}$ has a solution are $\eta=1, -2$ $\eta=-1, -2$ $\eta=3, -3$ $\eta=1, 2$
The values of $\eta$ for which the following system of equations$$\begin{array} {} x & + & y & + & z & = & 1 \\ x & + & 2y & + & 4z & = & \eta \\ x & + & 4y & + & 10z & ...
Arjun
524
views
Arjun
asked
Sep 23, 2019
Linear Algebra
isi2014-dcg
linear-algebra
system-of-equations
+
–
1
votes
1
answer
2935
Kenneth Rosen Edition 7 Exercise 1.7 Question 11 (Page No. 91)
Prove or disprove that the product of two irrational numbers is irrational.
Prove or disprove that the product of two irrational numbers is irrational.
Pooja Khatri
302
views
Pooja Khatri
asked
Apr 4, 2019
Mathematical Logic
kenneth-rosen
discrete-mathematics
mathematical-logic
propositional-logic
+
–
4
votes
1
answer
2936
ISI2018-DCG-2
If $P$ is an integer from $1$ to $50$, what is the probability that $P(P+1)$ is divisible by $4$? $0.25$ $0.50$ $0.48$ none of these
If $P$ is an integer from $1$ to $50$, what is the probability that $P(P+1)$ is divisible by $4$?$0.25$$0.50$$0.48$none of these
gatecse
784
views
gatecse
asked
Sep 18, 2019
Probability
isi2018-dcg
probability
number-system
+
–
10
votes
1
answer
2937
Mathematics GATE EE
The maximum value of a such that the matrix below has three linearly independent real eigen vectors is $\begin{pmatrix} -3& 0 &-2 \\ 1& -1 & 0\\ 0& a & 2 \end{pmatrix}$ (a) $\frac{2}{3\sqrt{3}}$ (b) $\frac{1}{3\sqrt{3}}$ (c) $\frac{1+2\sqrt{3}}{3\sqrt{3}}$ (d)$\frac{1+\sqrt{3}}{3\sqrt{3}}$
The maximum value of a such that the matrix below has three linearly independent real eigen vectors is$\begin{pmatrix} -3& 0 &-2 \\ 1& -1 & 0\\ 0& a & 2 \end{pmatrix}$(a)...
Ayush Upadhyaya
3.6k
views
Ayush Upadhyaya
asked
Nov 23, 2017
Linear Algebra
engineering-mathematics
gate-2015ee
+
–
1
votes
2
answers
2938
GateForum Question Bank :Graph Theory
What is the probability that there is an edge in an undirected random graph having 8 vertices? 1 1/8
What is the probability that there is an edge in an undirected random graph having 8 vertices?1 1/8
Hirak
2.1k
views
Hirak
asked
May 19, 2019
Graph Theory
graph-theory
discrete-mathematics
+
–
2
votes
1
answer
2939
ISI2014-DCG-15
Let $\mathbb{N}=\{1,2,3, \dots\}$ be the set of natural numbers. For each $n \in \mathbb{N}$, define $A_n=\{(n+1)k, \: k \in \mathbb{N} \}$. Then $A_1 \cap A_2$ equals $A_3$ $A_4$ $A_5$ $A_6$
Let $\mathbb{N}=\{1,2,3, \dots\}$ be the set of natural numbers. For each $n \in \mathbb{N}$, define $A_n=\{(n+1)k, \: k \in \mathbb{N} \}$. Then $A_1 \cap A_2$ equals$A_...
Arjun
490
views
Arjun
asked
Sep 23, 2019
Set Theory & Algebra
isi2014-dcg
set-theory
algebra
+
–
0
votes
1
answer
2940
Kenneth Rosen Edition 7 Exercise 1.7 Question 15 (Page No. 91)
Use a proof by contraposition to show that if $x+y≥2$,where $x$ and $y$ are real numbers, then $x≥1$ or $y≥1$.
Use a proof by contraposition to show that if $x+y≥2$,where $x$ and $y$ are real numbers, then $x≥1$ or $y≥1$.
Pooja Khatri
471
views
Pooja Khatri
asked
Apr 4, 2019
Mathematical Logic
kenneth-rosen
discrete-mathematics
mathematical-logic
propositional-logic
+
–
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