Recent questions and answers in Engineering Mathematics

+3 votes

4 answers

1

subgraphs
number of subgraph for K3 is

answered 4 hours ago in Graph Theory by erh Junior (707 points) | 118 views

0 votes

0 answers

2

[Engineering maths] Linear homogeneous system of equation

asked 5 hours ago in Linear Algebra by rahul sharma 5 Loyal (4.8k points) | 4 views

0 votes

0 answers

3

[Engineering Mathematics]
In system of Linear equations Ax=B, where A is m*n ,which of the following is/are true? a:) If b=0, and m=n,then only trivial solution is possible. b:) If b=0, and m=n,then always trivial solution is possible. c:)If b=0 ... If b=0,and m<n ,then only non-trivial solution possible. d:)If b=0,and m>n ,then only non-trivial solution possible.

asked 5 hours ago in Linear Algebra by rahul sharma 5 Loyal (4.8k points) | 3 views

0 votes

1 answer

4

GATE_2015_ECE Matrices
.

answered 5 hours ago in Mathematical Logic by Arnab Bhadra Loyal (3.1k points) | 51 views

0 votes

1 answer

5

TESTBOOK TEST

answered 5 hours ago in Set Theory & Algebra by erh Junior (707 points) | 5 views

0 votes

1 answer

6

GATE 2013 EC-A-27
Let A be an mxn matrix and B an nxm matrix. It is given that determinant ( Im + AB ) = determinant ( In + BA ) , where Ik is the k k identity matrix. Using the above property, the determinant of the matrix given below is $\begin{bmatrix} 2& 1& ... 1& 1\\ 1& 1& 2& 1\\ 1& 1& 1& 2 \end{bmatrix}$ A) 2 B) 5 C) 8 D) 16

answered 6 hours ago in Linear Algebra by just_bhavana Junior (517 points) | 24 views

0 votes

3 answers

7

[Discrete Maths] Graph Theory Rosen,Chromatic number

answered 1 day ago in Mathematical Logic by abhishek tiwary (17 points) | 35 views

0 votes

2 answers

8

discrete mathematics , group theory

answered 1 day ago in Set Theory & Algebra by abhishek tiwary (17 points) | 27 views

+1 vote

1 answer

9

[Discrete maths] Exponent generating function

answered 1 day ago in Mathematical Logic by Niraj Singh 2 Active (1.3k points) | 23 views

0 votes

3 answers

10

[Discrete Maths] Counting
In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if the bride is positioned somewhere to the left of the groom? Please suggest non brute force approach

answered 1 day ago in Mathematical Logic by Nachiket Karambelkar (165 points) | 21 views

0 votes

1 answer

11

size of matrix
Calculate the size of a square matrix (n × n) where the elements are present at (i + j) ≥ n + 1 what is the size of a matrix? is it not n^2

answered 2 days ago in Linear Algebra by Sanyam Lakhanpal (35 points) | 75 views

0 votes

2 answers

12

How to solve this Determinant question

answered 2 days ago in Linear Algebra by Niraj Singh 2 Active (1.3k points) | 34 views

0 votes

1 answer

13

gate-2018
I am not good in calculus. Can anyone suggest me any maths books, for practicing calculus(useful for gate)

answered 2 days ago in Calculus by junaid ahmad Active (1.4k points) | 23 views

+7 votes

2 answers

14

TIFR2011-A-1
If either wages or prices are raised, there will be inflation. If there is inflation, then either the government must regulate it or the people will suffer. If the people suffer, the government will be unpopular. Government will not be ... raised Prices are not raised If the inflation is not regulated, then the prices are not raised Wages are not raised

answered 2 days ago in Mathematical Logic by Gate Ranker18 (449 points) | 268 views

+5 votes

3 answers

15

TIFR2012-A-2
If $Mr.M$ is guilty, then no witness is lying unless he is afraid. There is a witness who is afraid. Which of the following statements is true? (Hint: Formulate the problem using the following predicates $G - Mr.M$ is guilty $W(x) - ... guilty. From these facts one cannot conclude that $Mr.M$ is guilty. There is a witness who is lying. No witness is lying.

answered 2 days ago in Mathematical Logic by Gate Ranker18 (449 points) | 295 views

0 votes

1 answer

16

Rosen
How can this English sentence be translated into a logical expression ? “You cannot ride the roller coaster if you are under 4 feet tall unless you are older than 16 years old.”

answered 2 days ago in Mathematical Logic by junaid ahmad Active (1.4k points) | 15 views

+1 vote

2 answers

17

TIFR2010-A-4
If the bank receipt is forged, then Mr. M is liable. If Mr. M is liable, he will go bankrupt. If the bank will loan him money, he will not go bankrupt. The bank will loan him money. Which of the following can be concluded from the above statements? Mr. M is liable The receipt is not forged Mr. M will go bankrupt The bank will go bankrupt None of the above

answered 2 days ago in Mathematical Logic by Gate Ranker18 (449 points) | 183 views

0 votes

0 answers

18

Diameter of a graph and tree
Why there is a difference between diameter of a graph and tree? Diameter of a tree as i have read is the maximum path between two vertices(number of edges between two vertices) But for tree it says number of nodes on the longest path. But tree is a graph so why cant i find the diameter of tree in similar way?

asked 2 days ago in Mathematical Logic by rahul sharma 5 Loyal (4.8k points) | 7 views

0 votes

2 answers

19

Maths: Limit Que02
lim x->0 xx y = xx logy = xlogx = $\frac{logx}{\frac{1}{x}}$ my question is when this equation not in the form of 0/0 or inf/inf then how can I apply L'Hospital's Rule??

answered 3 days ago in Calculus by Niraj Singh 2 Active (1.3k points) | 93 views

0 votes

2 answers

20

[Discrete Maths] Group Theory
If the group has 40 elements and it has two subgroups namely h and k with order 10 and 20 then what can't be order of (h intersection k) a:)10 b:)20 c:)3 d:)1 e:) 4 My answer is both c and b and e. Is it correct?

answered 3 days ago in Mathematical Logic by No_name (255 points) | 23 views

0 votes

2 answers

21

[Discrete Maths] Function,Rosen p-154.1.c

answered 3 days ago in Mathematical Logic by Arjun Veteran (286k points) | 25 views

0 votes

1 answer

22

maths
Q.9 (B) 4 (C) 7 (D) 8 Consider the function f(x) = sin(x) in the interval x  [π/4, 7π/4]. The number and location(s) of the local minima of this function are (A) One, at π/2 (B) One, at 3π/2 (C) Two, at π/2 and 3π/2 (D) Two, at π/4 and 3π/2

answered 3 days ago in Calculus by Niraj Singh 2 Active (1.3k points) | 13 views

0 votes

1 answer

23

ISI2017 MMA
Let S ⊆ R. Consider the statement: "There exists a continuous function f:S -> S such that f(x) != x for all x belongs to S." This statement is false if S equals A) [2,3] B) (2,3] c) [-3,-2] union [2,3] D) (- ... to +infinity, f(x) will definitely be equal to x at some point but we want this to not happen as said in the question. Am I correct?

answered 3 days ago in Set Theory & Algebra by Niraj Singh 2 Active (1.3k points) | 24 views

+11 votes

5 answers

24

GATE2002-2.10
Consider the following algorithm for searching for a given number $x$ in an unsorted array $A[1..n]$ having $n$ distinct values: Choose an $i$ at random from $1..n$ If $A[i] = x$, then Stop else Goto 1; Assuming that $x$ is present in $A$, what is the expected number of comparisons made by the algorithm before it terminates? $n$ $n-1$ $2n$ $\frac{n}{2}$

answered 3 days ago in Probability by Ahwan Loyal (2.5k points) | 1.4k views

0 votes

1 answer

25

Self - Doubt
What is clique?

answered 3 days ago in Graph Theory by Niraj Singh 2 Active (1.3k points) | 14 views

0 votes

1 answer

26

[Discrete Maths] predicate Logic

answered 3 days ago in Mathematical Logic by Vasu Srivastava (11 points) | 39 views

+11 votes

3 answers

27

GATE2000-2.7
Let a, b, c, d be propositions. Assume that the equivalence a ⇔ ( b V- b) and b ⇔c hold. Then the truth-value of the formula (a ∧ b) → (a ∧ c) ∨ d is always True False Same as the truth-value of b Same as the truth-value of d

answered 3 days ago in Mathematical Logic by Gate Ranker18 (449 points) | 547 views

+5 votes

2 answers

28

GATE1991_03,xii
Choose the correct alternatives (more than one may be correct) and write the corresponding letters only: If $F_1$, $F_2$ and $F_3$ are propositional formulae such that $F_1 \land F_2 \rightarrow F_3$ and $F_1 \land F_2 \rightarrow \sim F_3$ are ... F_2$ is not satisfiable (c). Neither is tautologous (d). Neither is satisfiable (e). None of the above.

answered 3 days ago in Mathematical Logic by Gate Ranker18 (449 points) | 326 views

0 votes

1 answer

29

[Discrete Maths] Dual of a function

answered 3 days ago in Mathematical Logic by Niraj Singh 2 Active (1.3k points) | 26 views

0 votes

1 answer

30

HK Das Book Page# 72
#Matrices Determine b such that the system of homogeneous equation 2x+y+2z=0 x+y+3z=0 4x+3y+bz=0 has trivial solution This problem is taken from HK Das Book Page# 72 and solution by book is For trivial solution We know that x=0,y ... of A=n(no of unknowns) for unique solution but book said anyvalue of b Please tell if anyone know. Thanks in advance.

answered 3 days ago in Linear Algebra by Niraj Singh 2 Active (1.3k points) | 16 views

0 votes

1 answer

31

#combinatory
Determine the number of factors of 34 * 52 * * 117 * 138.

answered 3 days ago in Combinatory by Rupendra Choudhary Active (1.3k points) | 42 views

+1 vote

1 answer

32

General Math
Why is $n \leq 2^{h+1} - 1$ equivalent to $h \geq \log_2{\frac{n+1}{2}}$ ? This is applicable to Binary Trees

answered 3 days ago in Graph Theory by Rupendra Choudhary Active (1.3k points) | 28 views

0 votes

0 answers

33

[Discrete Maths] Generating functions

asked 3 days ago in Mathematical Logic by rahul sharma 5 Loyal (4.8k points) | 51 views

0 votes

1 answer

34

[Discrete maths] permutations
How many possibilities are there for the win, place and show (first, second, and third) positions in a horse race with 12 horses if all orders of finish are possible?

answered 4 days ago in Mathematical Logic by junaid ahmad Active (1.4k points) | 22 views

+6 votes

5 answers

35

GATE2014-1-53
Which one of the following propositional logic formulas is TRUE when exactly two of $p,q$ and $r$ are TRUE? $(( p \leftrightarrow q) \wedge r) \vee (p \wedge q \wedge \sim r)$ $( \sim (p \leftrightarrow q) \wedge r)\vee (p \wedge q \wedge \sim r)$ ... (p \wedge q \wedge \sim r)$ $(\sim (p \leftrightarrow q) \wedge r) \wedge (p \wedge q \wedge \sim r) $

answered 4 days ago in Mathematical Logic by Gate Ranker18 (449 points) | 940 views

0 votes

4 answers

36

GATE2002-2.16
Four fair coins are tossed simultaneously. The probability that at least one head and one tail turn up is A. $\frac{1}{16}$ B. $\frac{1}{8}$ C. $\frac{7}{8}$ D. $\frac{15}{16}$

answered 5 days ago in Probability by PRANAV M (17 points) | 615 views

0 votes

1 answer

37

Testbook test series

answered 5 days ago in Mathematical Logic by Aashish S Junior (601 points) | 35 views

+1 vote

1 answer

38

Testbook testseries

answered 5 days ago in Mathematical Logic by Aashish S Junior (601 points) | 30 views

0 votes

0 answers

39

[Self doubt] Permutation
Default permutation is with repetition or not?I came across some questions and it was nothing mentioned like repetition and all.But if questions says how many passwords then it was assumed that they are distinct and repetition not allowed ... by 4 digits etc. and in these question it was with repitiion.So how to differentiate between these two?

asked 5 days ago in Mathematical Logic by rahul sharma 5 Loyal (4.8k points) | 18 views

+1 vote

1 answer

40

Sheldon Ross chapter 2 questions 26

answered 6 days ago in Probability by Surajit Junior (635 points) | 51 views

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