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Recent questions and answers in Engineering Mathematics

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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

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

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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

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

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

179 views

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

28 views

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

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

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

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

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

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

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

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

10.0k views

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

28.8k views

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

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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

26 views

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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

17 views

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

252 views

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

160 views

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

133 views

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

172 views

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

243 views

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

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

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

55 views

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

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

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

96 views

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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

45 views

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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

31 views

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

30 views

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

23 views

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

35 views

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

40 views

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

207 views

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

86 views

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

73 views

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

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

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Recent questions and answers in Engineering Mathematics