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Recent questions and answers in Engineering Mathematics
0
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0
answers
1
Dearangements in permutations and combinations
How many derangements of {1, 2, 3, 4, 5, 6, 7} begin with the integers 1, 2, & 3 in some order
Aj1202
asked
in
Mathematical Logic
5 hours
ago
by
Aj1202
7
views
mathematical-logic
32
votes
4
answers
2
GATE CSE 1992 | Question: 14a
If $G$ is a group of even order, then show that there exists an element $a≠e$, the identity in $G$, such that $a^2 = e$.
Shubhamishere
answered
in
Set Theory & Algebra
9 hours
ago
by
Shubhamishere
5.7k
views
gate1992
set-theory&algebra
group-theory
normal
descriptive
proof
0
votes
0
answers
3
GATE EE 2007
The linear operation L(x) is defined by the cross product L(x) = b x X, where b=[0 1 0] and X=[xxx]' are three dimensional vectors. The 3 x 3 matrix M of this operation satisfies: L(x)=M (x1 x2 x3)' Then the eigen values of M are: (a) 0, +1,-1 (b) 1, -1, 1 (c) i, -i, 0 (d) i, -i, 1 [EE, GATE-2007, 2 marks]
Priyanshu Karmakar
asked
in
Linear Algebra
10 hours
ago
by
Priyanshu Karmakar
12
views
linear-algebra
eigen-value
16
votes
3
answers
4
GATE CSE 1994 | Question: 1.9
The rank of matrix $\begin{bmatrix} 0 & 0 & -3 \\ 9 & 3 & 5 \\ 3 & 1 & 1 \end{bmatrix}$ is: $0$ $1$ $2$ $3$
-RahulKumar-
answered
in
Linear Algebra
10 hours
ago
by
-RahulKumar-
4.3k
views
gate1994
linear-algebra
matrix
rank-of-matrix
easy
0
votes
3
answers
5
Applied Mathematics Question
Let $f(x) = e^{x^2},$ then find $f''(x).$
ritik456
answered
in
Calculus
12 hours
ago
by
ritik456
179
views
calculus
differentiation
0
votes
1
answer
6
What is the probability that a five-card poker hand contains the two of diamonds, the three of spades, the six of hearts, the ten of clubs, and the king of hearts?
venturekin
answered
in
Probability
14 hours
ago
by
venturekin
28
views
probability
42
votes
7
answers
7
GATE CSE 2017 Set 1 | Question: 29
Let $p$, $q$ and $r$ be propositions and the expression $\left ( p\rightarrow q \right )\rightarrow r$ be a contradiction. Then, the expression $\left ( r\rightarrow p \right )\rightarrow q$ is a tautology a contradiction always TRUE when $p$ is FALSE always TRUE when $q$ is TRUE
himanshud2611
answered
in
Mathematical Logic
15 hours
ago
by
himanshud2611
8.2k
views
gatecse-2017-set1
mathematical-logic
propositional-logic
25
votes
7
answers
8
GATE CSE 2017 Set 1 | Question: 01
The statement $\left ( ¬p \right ) \Rightarrow \left ( ¬q \right )$ is logically equivalent to which of the statements below? $p \Rightarrow q$ $q \Rightarrow p$ $\left ( ¬q \right ) \vee p$ $\left ( ¬p \right ) \vee q$ I only I and IV only II only II and III only
himanshud2611
answered
in
Mathematical Logic
15 hours
ago
by
himanshud2611
7.0k
views
gatecse-2017-set1
mathematical-logic
propositional-logic
easy
31
votes
2
answers
9
GATE CSE 2015 Set 1 | Question: 14
Which one of the following is NOT equivalent to $p ↔ q$? $(\neg p ∨ q) ∧ (p ∨ \neg q)$ $(\neg p ∨ q) ∧ (q → p)$ $(\neg p ∧ q) ∨ ( p ∧ \neg q)$ $(\neg p ∧ \neg q) ∨ (p ∧ q)$
himanshud2611
answered
in
Mathematical Logic
16 hours
ago
by
himanshud2611
5.9k
views
gatecse-2015-set1
mathematical-logic
easy
propositional-logic
44
votes
5
answers
10
GATE CSE 2014 Set 3 | Question: 1
Consider the following statements: P: Good mobile phones are not cheap Q: Cheap mobile phones are not good L: P implies Q M: Q implies P N: P is equivalent to Q Which one of the following about L, M, and N is CORRECT? Only L is TRUE. Only M is TRUE. Only N is TRUE. L, M and N are TRUE.
himanshud2611
answered
in
Mathematical Logic
16 hours
ago
by
himanshud2611
8.4k
views
gatecse-2014-set3
mathematical-logic
easy
propositional-logic
28
votes
4
answers
11
GATE CSE 2004 | Question: 70
The following propositional statement is $\left(P \implies \left(Q \vee R\right)\right) \implies \left(\left(P \wedge Q \right)\implies R\right)$ satisfiable but not valid valid a contradiction None of the above
himanshud2611
answered
in
Mathematical Logic
19 hours
ago
by
himanshud2611
5.9k
views
gatecse-2004
mathematical-logic
normal
propositional-logic
20
votes
3
answers
12
GATE CSE 1994 | Question: 3.13
Let $p$ and $q$ be propositions. Using only the Truth Table, decide whether $p \Longleftrightarrow q$ does not imply $p \to \lnot q$ is True or False.
himanshud2611
answered
in
Mathematical Logic
1 day
ago
by
himanshud2611
6.1k
views
gate1994
mathematical-logic
normal
propositional-logic
true-false
14
votes
6
answers
13
GATE CSE 2021 Set 2 | Question: 15
Choose the correct choice(s) regarding the following proportional logic assertion $S$: $S: (( P \wedge Q) \rightarrow R) \rightarrow (( P \wedge Q) \rightarrow (Q \rightarrow R))$ $S$ is neither a tautology nor a contradiction $S$ is a tautology $S$ is a contradiction The antecedent of $S$ is logically equivalent to the consequent of $S$
-RahulKumar-
answered
in
Mathematical Logic
1 day
ago
by
-RahulKumar-
4.9k
views
gatecse-2021-set2
multiple-selects
mathematical-logic
propositional-logic
1-mark
34
votes
7
answers
14
GATE CSE 2014 Set 2 | Question: 4
If the matrix $A$ is such that $A= \begin{bmatrix} 2\\ −4\\7\end{bmatrix}\begin{bmatrix}1& 9& 5\end{bmatrix}$ then the determinant of $A$ is equal to ______.
Souvik33
answered
in
Linear Algebra
1 day
ago
by
Souvik33
10.0k
views
gatecse-2014-set2
linear-algebra
numerical-answers
easy
determinant
67
votes
13
answers
15
GATE CSE 1994 | Question: 1.6, ISRO2008-29
The number of distinct simple graphs with up to three nodes is $15$ $10$ $7$ $9$
Souvik33
answered
in
Graph Theory
1 day
ago
by
Souvik33
28.8k
views
gate1994
graph-theory
graph-connectivity
combinatory
normal
isro2008
counting
0
votes
0
answers
16
discrete mathematics
The maximum number of edges possible in a graph G with 9 vertices which is 3 colourable is equal to A 24 B 27 C 36 D None of the above
someshawasthi
asked
in
Graph Theory
3 days
ago
by
someshawasthi
56
views
graph-theory
0
votes
0
answers
17
kenneth rosen, counting, exercise: 6.5, question: 50
How many ways are there to distribute five distinguishable objects into three indistinguishable boxes?
Roshakaw
asked
in
Combinatory
Mar 24
by
Roshakaw
26
views
discrete-mathematics
kenneth-rosen
0
votes
0
answers
18
Kenneth Rosen, exercise: 6.2, question: 8
Show that if f is a function from S to T , where S and T are finite sets with |S| > |T |, then there are elements s1 and s2 in S such that f (s1) = f (s2), or in other words, f is not one-to-one. How can I prove it by using “proof by contradiction”? Is it possible to prove the same by using “proof by contraposition”? If yes, how?
Roshakaw
asked
in
Combinatory
Mar 23
by
Roshakaw
17
views
discrete-mathematics
kenneth-rosen
pigeonhole-principle
4
votes
2
answers
19
GO Classes Weekly Quiz 4 | Propositional Logic | Question: 4
If $\mathbf{p}$ is true, $\mathbf{q}$ is true, and $\mathbf{r}$ is true, find the truth value of the statement. $ (p \wedge q) \leftrightarrow(q \vee \sim r) $ Choose the correct answer below. True because $(p \wedge q)$ ... and $(q \vee \sim r)$ is false. False because $(p \wedge q)$ is true and $(q \vee \sim r)$ is true.
GO Classes
asked
in
Mathematical Logic
Mar 22
by
GO Classes
252
views
goclasses2024_wq4
goclasses
mathematical-logic
propositional-logic
1-mark
2
votes
2
answers
20
GO Classes Weekly Quiz 4 | Propositional Logic | Question: 5
If $p$ is true and $q$ is false then the truth values of $(p \rightarrow q) \leftrightarrow(\sim q \rightarrow \sim p)$ and $(\sim p \vee \sim q) \wedge(\sim q \vee p)$ are respectively True, True True, False False, False False, True
GO Classes
asked
in
Mathematical Logic
Mar 22
by
GO Classes
160
views
goclasses2024_wq4
goclasses
mathematical-logic
propositional-logic
1-mark
2
votes
2
answers
21
GO Classes Weekly Quiz 4 | Propositional Logic | Question: 6
If $(p \wedge \sim q) \wedge(p \wedge r) \rightarrow \sim p \vee q$ is false, then the truth values of $p, q$ and $r$ are, respectively : $F, T, F$ $T, F, T$ $T, T, T$ $F, F, F$
GO Classes
asked
in
Mathematical Logic
Mar 22
by
GO Classes
133
views
goclasses2024_wq4
goclasses
mathematical-logic
propositional-logic
1-mark
2
votes
3
answers
22
GO Classes Weekly Quiz 4 | Propositional Logic | Question: 7
If $p, q, r$ are simple statement with truth values $T, F, T$ respectively then the truth value of $((\sim p \vee q) \wedge r) \rightarrow p$ is : True False True if $r$ is false True if $q$ is true
GO Classes
asked
in
Mathematical Logic
Mar 22
by
GO Classes
172
views
goclasses2024_wq4
goclasses
mathematical-logic
propositional-logic
1-mark
6
votes
4
answers
23
GO Classes Weekly Quiz 4 | Propositional Logic | Question: 8
A very special island, "Smullyan's island", is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You encounter two people, $\text{A}$ and $\text{B. A}$ says " ... , respectively, if they address you in the above way described: Knight, Knight Knight, Knave Knave, Knight Knave, Knave
GO Classes
asked
in
Mathematical Logic
Mar 22
by
GO Classes
243
views
goclasses2024_wq4
goclasses
mathematical-logic
propositional-logic
2-marks
0
votes
1
answer
24
#Eigen Vectors
Find the eigen values and eigen vector of the following matrix????
Çșȇ ʛấẗẻ
asked
in
Mathematical Logic
Mar 21
by
Çșȇ ʛấẗẻ
54
views
eigen-value
linear-algebra
engineering-mathematics
matrix
0
votes
1
answer
25
self doubt
how to write if and only if symbolic form explain in detail????
Çșȇ ʛấẗẻ
asked
in
Mathematical Logic
Mar 20
by
Çșȇ ʛấẗẻ
32
views
self-doubt
discrete-mathematics
matematical
mathematical-logic
0
votes
2
answers
26
Can any one solve this , 6B and 4G ,at least 2 girls should be together in circular arrangement
Shivank121
asked
in
Combinatory
Mar 19
by
Shivank121
55
views
discrete-mathematics
combinatory
0
votes
1
answer
27
explain universal quantifiers and existential quantifiers with example what is De morgan's law for quantifiers
gund pragati sunil
asked
in
Mathematical Logic
Mar 11
by
gund pragati sunil
63
views
mathematical-logic
0
votes
1
answer
28
explain with example, notations used and mathematical expressions to describe the following terms .i)membership ii) subset iii) equality of two sets iv) union
gund pragati sunil
asked
in
Mathematical Logic
Mar 11
by
gund pragati sunil
48
views
mathematical-logic
set-theory
1
vote
1
answer
29
canvas
The weight of a light bulb has an average of 12.5 grs. with a standard deviation of 2. Assume the variable is normally distributed. If an inspector select randomly a sample of 30 bulbs ¿what is the probability of the weight of one bulb falls between 10 and 15 grs.?
Ernestogld
asked
in
Probability
Mar 10
by
Ernestogld
96
views
probability
normal-distribution
0
votes
0
answers
30
Numerical Method Analysis : Help...
Use LU Decomposition method to solve the following system. $\left\{\begin{matrix} & x_{1} +x_{2}-x_{3} =1 \\ & x_{1} +2x_{2}-2x_{3} =0 \\ & -2x_{1} +x_{2}+x_{3} =1 \end{matrix}\right.$ ...
kidussss
asked
in
Linear Algebra
Mar 8
by
kidussss
45
views
numerical-methods
algorithms
discrete-mathematics
linear-algebra
engineering-mathematics
0
votes
0
answers
31
Numerical Method Analysis : Help...
Solve the following system using Gauss elimination with partial pivoting. $\left\{\begin{matrix} &2x_{1}+x_{2}+x_{3}=10\\ & 3x_{1}+2x_{2}+3x_{3}=18 \\ & 5x_{1}+4x_{2}+2x_{3}=9 \end{matrix}\right.$ ...
kidussss
asked
in
Linear Algebra
Mar 8
by
kidussss
31
views
numerical-methods
algorithms
linear-algebra
engineering-mathematics
discrete-mathematics
0
votes
0
answers
32
Numerical Method Analysis : Help...
Use Secant method to find roots of: $x^3-2x^2+3x-5=0$ $x+1 = 4sinx$ $e^x = x + 2$
kidussss
asked
in
Linear Algebra
Mar 8
by
kidussss
30
views
numerical-methods
algorithms
discrete-mathematics
linear-algebra
engineering-mathematics
0
votes
0
answers
33
Numerical Method Analysis : Help....
Use NR method to find a root of the equation with tolerance x=0.00001. $x^3-2x-5=0$ $e^x-3x^2=0$
kidussss
asked
in
Linear Algebra
Mar 8
by
kidussss
23
views
numerical-methods
algorithms
discrete-mathematics
linear-algebra
engineering-mathematics
0
votes
0
answers
34
Numerical Method Analysis : Help...
Use Bisection method to find all roots of $x^3 – 5x + 3 = 0$
kidussss
asked
in
Linear Algebra
Mar 8
by
kidussss
35
views
numerical-methods
algorithms
linear-algebra
engineering-mathematics
discrete-mathematics
0
votes
0
answers
35
Numerical Method Analysis : Help...
Use Bisection method to find the root of the following equation with tolerance 0.001. $x^4 - 2x^3 - 4x^2 + 4x + 4 = 0$ $x^3 – e^x + sin(x) = 0$
kidussss
asked
in
Linear Algebra
Mar 8
by
kidussss
40
views
numerical-methods
algorithms
linear-algebra
engineering-mathematics
discrete-mathematics
2
votes
3
answers
36
NTRO exam 2023
the solution of the linear congruence 4x = 5(mod9)? 6 (mod 9) 8 (mod 9) 9(mod 9) 10 (mod 9)
jugnu1337
asked
in
Mathematical Logic
Mar 5
by
jugnu1337
207
views
discrete-mathematics
maths
1
vote
0
answers
37
Kenneth Rosen, exercise 6.1, Qs - 42 (d)
How many 4-element DNA sequences contain exactly three of the four bases A, T, C, and G? Solution given: There are four ways to choose which letter is to occur twice and three ways to decide which of the other letters to leave ... wrong. It would be of great help if you can show what combinations my approach is not including but the given solution includes.
Roshakaw
asked
in
Combinatory
Mar 3
by
Roshakaw
86
views
kenneth-rosen
discrete-mathematics
counting
combinatory
0
votes
2
answers
38
Discrete Maths by Kenneth Rosen, exercise 6.1, Qs - 12
How many bit strings are there of length six or less, not counting the empty string? Solution given:- We use the sum rule, adding the number of bit strings of each length up to 6. If we include the empty string, then we get 2^0 ... a binary string such as 000100 of length 3, and so on Please let me know if I am wrong somewhere in my approach.
Roshakaw
asked
in
Combinatory
Mar 2
by
Roshakaw
73
views
discrete-mathematics
kenneth-rosen
counting
0
votes
1
answer
39
The failure distribution is defined by f(t) = .0≤t≤1000 hr. (a) What is the probability of failure within 100hr warranty period? (b) Compute the MTTF.
Pooja Mandavya
asked
in
Probability
Feb 27
by
Pooja Mandavya
100
views
probability
0
votes
1
answer
40
set theory
If A = {1, 2, 3, . . . . . . 10} then the number of 4 element subsets of A containing ‘2’?
someshawasthi
asked
in
Set Theory & Algebra
Feb 27
by
someshawasthi
108
views
set-theory
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Recent questions and answers in Engineering Mathematics
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Please upload updated previous year question...
The last hardcopy that was made was for GATE 2022...
overall only 3 post .no post for gen male
for gen GS in the range of 720-750 approx.
can we get 2023 hark copy from amazon?