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Questions without answers in Engineering Mathematics

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TIFR CSE 2023 | Part B | Question: 10
A $d$-regular graph is one in which every vertex has degree $d$. Also, a minimum cut in a graph is a smallest set of edges which, upon removal, disconnects the ... Which of the following must be the size of this minimum cut?$0$1$2$3$4$
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TIFR CSE 2023 | Part B | Question: 12
A graph $G=(V, E)$ is said to be $k$-colourable if the set $V$ of vertices can be coloured with $k$ colours such that no edge has both its endpoints of the same colour. ... and $\text{(P4)}$Only problems $\text{(P1), (P2)}$and $\text{(P4)}$
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TIFR CSE 2023 | Part A | Question: 1
Let $A$ be a symmetric $3 \times 3$ matrix with real entries. Let $u$ and $v$ be non-zero vectors with real entries such that $A u=2 u$ and $A v=3 v$. From the ... $0,1$ and $-1$None of the values $0,1$ and $-1$
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TIFR CSE 2023 | Part A | Question: 8
Let $\mu$ be a probability distribution on the interval $[0,1]$ with probability density function $p(x)=c \cdot x^{2}$ where $c$ is an ... value of $b-a$ cannot be determined uniquely from the information given in the question.
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TIFR CSE 2023 | Part A | Question: 12
Suppose is a piece on a chess board that attacks squares that are exactly two steps in the vertical direction, and squares that are adjacent horizontally (as marked with a ... square is allowed to contain at most one piece.)$4$8$16$24$32$
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TIFR CSE 2023 | Part A | Question: 13
We have a coin that is equally likely to land heads (denoted $\text{ H'})$ or tails (denoted $\text{ T'})$ when tossed. Suppose we keep tossing this coin and stop the game as soon ... $1 / 4$2 / 3$3 / 4$1 / 3$1 / 2$
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LU decomposition
Use LU Decomposition method to solve the following system. ...
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Numerical Method Analysis : Help...
Solve the following system using Gauss elimination with partial pivoting. ...
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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 ... can show what combinations my approach is not including but the given solution includes.
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Test series
A bag contains four balls. Two balls are drawn and found them to be white. The probability that all the balls are white is 1/2 3/5 1/4 4/6
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#Graphs #Self_Doubt #Connectivity
What is a biconnected componenet?Does it always include V-V’ where V’ represent the set of articulation points of a graph G?
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Kenneth Rosen Edition 7 Exercise 1.6 Question 11 (Page No. 79)
Show that the argument form with premises $p_1,p_2$,...,$p_n$ and conclusion q → r is valid if the argument form with premises $p_1,p_2,$...,$p_n$,q, and conclusion r is valid.
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Discrete Mathematics & Its Applications. Basic Structures - Sets, Functions, Sequences and Sums
N = {0,1,2,3 .} is the set of natural numbers. In Note, it is mentioned that some people do not consider 0 as a natural number.We know that set ... the set of Natural numbers, then what is the definition of Whole numbers in that scenario?
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TestBook graph theory question
If G is a simple planar connected graph with 5 vertices, how many edges in maximum can be there in the given graph?
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TestBook graph theory questions
Let Gn be the complete bipartite graph K13, 17 then the chromatic number of G̅n is _____ (G̅n is complement of Gn and n = 30)A13B17Cn(n−1)2−13×17Dn(n−1)2−2
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TestBook Lattice question
Consider the relation R = {(p, p), (p, q), (p, r), (p, s), (p, t), (q, q,) (q, s), (q, t), (s, s), (s, t), (r, r), (r, t), ... A, R) is a Boolean Algebra2(A, R) is a complemented lattice3(A, R) is distributed lattice4(A, R) is not a lattice
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TestBook Hasse Diagram question to find GLB
If [P(A); ⊆] is a lattice where A = {x, y} and P(A) is the power set then what is the sum of element in Greatest Lower Bound (GLB) set of given lattice?x + y xy0
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Testbook Relations in discrete maths
Which of the following statement is not true?1If a relation on a set A is symmetric and transitive then R is reflexive.2If a relation R on a set A is irreflexive and ... set A then R U S need not be transitive and R ꓵ S are also transitive.
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Kenneth Rosen Edition 7 Exercise 1.3 Question 10 (Page No. 35)
Show that each of these conditional statements is a tautology by using truth tables.a) [¬p ∧ (p ∨ q)] → qb) [(p → q) ∧ (q → r)] → (p → r)c) [p ∧ (p → q)] → qd) [(p ∨ q) ∧ (p → r) ∧ (q → r)] → r
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set, relation
Consider the partition of a set having 3 block of 5 elements each, 4 block of 2 elements each and 2 block of 3 elements in each block.Find the cardinality of equivalence relation.
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Linear Algebra, Vectors
What is the equation of the plane that contains point (-2, 4, 5) and the vector (7, 0, -6) is normal to the plane? And check if this plane intersects the y-axis.
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Linear Algebra, Vectors
Find equation of a line passes through the points = (0, 1, 2) and = (-1, 1, 1).
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#selfdoubt
Let n players enter a chess tournament. How many tournament trees are possible?RULES: a player is eliminated after one loss and games are played until only one ... (n-1)similarly we can do the remaining cases.Is the above method right?
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Made Easy Full Syllabus Test 3 Probability
can anyone verify if options are correct i am not satisfied with the solution given.
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Set Theory Test Series Question
Statement 1: If $A\subseteq B$ and $B \subseteq A$ then $A= B$Statement 2: If $A= B$ then $A\subseteq B$ or $B \subseteq A$Which of these statements ... Equivalence of 2 sets, so always true.Statement 2 seems to be true but I am not sure.
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3 votes
graph theory
Let $G=(V,E)$ where $V=\left \{ 1,2,3,4,.....,150\right \}$ and $(u,v) \in E$ if either $(u mod v) =0$ or $(v mod u)=0$.The Chromatic number of G is ?
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Self Doubt
A relation R1 : aRb iff (a congruent b) modulo 5 and relation R2 : aRb iff (a congruent b modulo 7). What will be R1 U R2 ?
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Unacademy AIMT 1
How many integers are there in the set {1,2,3,…..,1000} with no digit being repeated?
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Self Doubt
Question: How NullSpace of the matrix A and the uniqueness of the solution of Ax=b are related ??
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Maths
Can anyone please suggest any single resource which has a comprehensive list of Trigonometric Identities which might be useful to solve sums ?? (Inverses, Half angles, Double Angles, Sum rule, Product Rule etc.).
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