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Recent questions and answers in Engineering Mathematics

38 votes

6 answers

1

GATE CSE 2017 Set 2 | Question: 31
For any discrete random variable $X$, with probability mass function $P(X=j)=p_j, p_j \geq 0, j \in \{0, \dots , N \}$, and $\Sigma_{j=0}^N \: p_j =1$, define the polynomial function $g_x(z) = \Sigma_{j=0}^N \: p_j \: z^j$. For a certain ... . The expectation of $Y$ is $N \beta(1-\beta)$ $N \beta$ $N (1-\beta)$ Not expressible in terms of $N$ and $\beta$ alone

Shakir Ahmad answered in Probability 15 hours ago

by Shakir Ahmad

12.0k views

1 vote

2 answers

2

KENNITH ROSEN LATTICE
Find a compatible total order for the divisibility relation on the set {1, 2, 3, 6, 8, 12, 24, 36}.

Vishal_kumar98 answered in Set Theory & Algebra 3 days ago

by Vishal_kumar98

64 views

0 votes

0 answers

3

Topic: Combining relations (Composition of relations)
Let R be a relation. Why $R^2 oR^2 !=R^4$ while $R^3 oR =R^4$? Please explain.

Yamini_learner asked in Set Theory & Algebra 4 days ago

by Yamini_learner

51 views

0 votes

1 answer

4

Ace Book for Discreet Mathematics , Combinatorics.
Number of ways to assign 5 different people in 3 different rooms, so that each room contains at least one person?

Pranavpurkar answered in Mathematical Logic Sep 23

by Pranavpurkar

84 views

1 vote

2 answers

5

[email protected] Test Series 2023
Ans: 43333

Pranavpurkar answered in Combinatory Sep 22

by Pranavpurkar

95 views

0 votes

0 answers

6

Internet
For f(x)=√x x€[0,b] the number c satisfying mean value therom is c=1

Katyayani0306 asked in Calculus Sep 21

by Katyayani0306

24 views

35 votes

5 answers

7

GATE CSE 2014 Set 1 | Question: 48
Four fair six-sided dice are rolled. The probability that the sum of the results being $22$ is $\dfrac{X}{1296}$. The value of $X$ is _______

Argharupa Adhikary answered in Probability Sep 21

by Argharupa Adhikary

6.2k views

0 votes

1 answer

8

Engineering mathematics
If A is a non-zero column matrix of order n×1 and B is a non-zero row matrix of order 1×n then rank of AB equals ? Rank(ab) can be zero???

afroze answered in Linear Algebra Sep 21

by afroze

65 views

0 votes

3 answers

9

ISRO2006-ECE calculus

shuham kumar answered in Calculus Sep 20

by shuham kumar

368 views

0 votes

2 answers

10

ISRO 2009-ECE Engineering Mathematics
There is a function f(x), such that f(0) = 1 and f ' (0)= -1 and f(x) is positive for all values of x. Then, a) f"(x) < 0 for all x b) -1 < f'' (x) < 0 for all x c) -2 < f '' (x) < -1 for all x d) None of the above

shuham kumar answered in Calculus Sep 20

by shuham kumar

235 views

3 votes

1 answer

11

Calculus
It should be 1 and 3 ?? please correct me if I'm wrong.

shuham kumar answered in Calculus Sep 20

by shuham kumar

592 views

2 votes

1 answer

12

Continuity and Differentiability of root mod function
1) Consider f(x) = $|x|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 2) Consider f(x) = $|x-1|^{3/2}$ Check for Differentiability and Continuity. I am getting Cont and Differentiable both. 3) Find the value of $f(x) = \int_{-2}^{2}|1-x^4|dx$. I am getting 8/5, but answer is 12.

shuham kumar answered in Calculus Sep 20

by shuham kumar

655 views

2 votes

2 answers

13

Made Easy: Linear Algebra (MSQ)
Let $A$ be a $3$ x $3$ matrix with rank $2$. Then, $AX=0$ has The trivial solution $X=0$. One independent solution. Two independent solution. Three independent solution.

samarpita answered in Linear Algebra Sep 19

114 views

0 votes

1 answer

14

[email protected] Test Series 2023
Ans: 211

afroze answered in Combinatory Sep 19

by afroze

89 views

1 vote

0 answers

15

Self doubt.
If A, B & C are matrices & AB=AC then B=C? as we know it is not always true because when A is singular matrix then B=C not possible so what is the right ans to say B=C is (always not equal) or (may or may not be equal) or (simply not equal)?

Nisha Bharti asked in Linear Algebra Sep 19

by Nisha Bharti

81 views

53 votes

3 answers

16

GATE CSE 2014 Set 1 | Question: 2
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is ________ .

Abhrajyoti00 answered in Probability Sep 18

by Abhrajyoti00

13.5k views

0 votes

1 answer

17

Gate At Zeal
Question → If (G,*) is a group of order 960 and there exist a in G such that a^m=e for some integer m<=960 where e is identity element of G then total number of possible value of m is___________ Answer==28

afroze answered in Set Theory & Algebra Sep 17

by afroze

90 views

1 vote

2 answers

18

NIELIT 2016 MAR Scientist B - Section B: 5
The greatest and the least value of $f(x)=x^4-8x^3+22x^2-24x+1$ in $[0,2]$ are $0,8$ $0,-8$ $1,8$ $1,-8$

neel19 answered in Calculus Sep 16

by neel19

372 views

2 votes

3 answers

19

GATE Overflow | Mock GATE | Test 1 | Question: 53
A class of first year B.tech students is composed of four batches A, B, C and D, each consisting of $30$ students. It is found that the sessional marks of students in Engineering Drawing in batch C have a mean of $6.6$ and standard deviation of $2.3$. ... this, the marks of a student in batch C are changed from $8.5$ to $8.75$ $7.45$ $9.27$ $8.97$

MANSI_SOMANI answered in Probability Sep 13

by MANSI_SOMANI

650 views

3 votes

2 answers

20

GATE Overflow | Mock GATE | Test 1 | Question: 33
If $x=cy+bz, \: y=az+cx, \: z=bx+ay,$ where $x,y,z$ are not all zero, then $a^2+b^2+c^2=$ $1+2abc$ $1-2abc$ $1+abc$ $abc-1$

MANSI_SOMANI answered in Set Theory & Algebra Sep 13

by MANSI_SOMANI

556 views

2 votes

3 answers

21

GATE Overflow | Mock GATE | Test 1 | Question: 34
Let $G$ be a graph of order $n$ in which every vertex has degree equal to $d$. How large must $d$ be in order to guarantee that $G$ is connected? $\frac{n}{2}$ $\lceil (n-1)/2 \rceil$ $\lfloor (n+1)/2 \rfloor$ $(n-1)/2$

MANSI_SOMANI answered in Graph Theory Sep 13

by MANSI_SOMANI

1.2k views

2 votes

2 answers

22

GATE Overflow | Mock GATE | Test 1 | Question: 19
Evaluate the limit: $ \lim_{x \to -3} \frac{\sqrt{2x+22}-4}{x+3}$ $\frac{1}{2}$ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$

MANSI_SOMANI answered in Calculus Sep 13

by MANSI_SOMANI

604 views

1 vote

2 answers

23

PhD Admissions Written Test (Basic)
Let x1, x2, ...x8 be 8 propositional variables. Let · represent AND connective ⊕ represent the Exclusive-or connective. The number of satisfying assignments of the formula x1 ⊕ x2 ⊕ ...x8 is _________________ The number of satisfying assignments of the formula (x1·x2) ⊕ (x3·x4)... ⊕ (x7·x8) is __________________

maverick answered in Mathematical Logic Sep 12

107 views

0 votes

1 answer

24

A First Course In Probability, 9th Edition, Indian Version, Sheldon Ross, Chapter 3, Problems, 33.
The meteorology department predicts the rain correctly with a probability of 4/5. When rain is predicted Amit travels by his car. When rain is not forecasted, he travels with his car with a probability of ... a probability of 1/2. Find the probability that Amit does not travel by car given it rains.

shishir__roy answered in Probability Sep 10

by shishir__roy

82 views

1 vote

1 answer

25

igate test series
Selection of how many integers from the first ten positive integers (1, 2, ...) guarantees that there must be a pair of these integers with a sum equal to 11 ?

maverick answered in Combinatory Sep 10

102 views

35 votes

4 answers

26

GATE CSE 1994 | Question: 2.2
On the set $N$ of non-negative integers, the binary operation ______ is associative and non-commutative.

GateOverflow04 answered in Set Theory & Algebra Sep 10

by GateOverflow04

3.5k views

0 votes

2 answers

27

Predicate Translation
S(x): x is a Student P(x): x is a Professor A(x, y): x has asked a question to y Domain not given, so we have to think about default domain Q1) Translate There is a student who has asked every professor a question Q2) Translate ... a professor who has been asked a question by every student Q4) Translate There is a student who has been asked a question by every professor

shishir__roy answered in Mathematical Logic Sep 6

by shishir__roy

87 views

29 votes

5 answers

28

GATE CSE 2015 Set 1 | Question: 1‏8
In the LU decomposition of the matrix $\begin{bmatrix}2 & 2 \\ 4 & 9\end{bmatrix}$, if the diagonal elements of $U$ are both $1$, then the lower diagonal entry $l_{22}$ of $L$ is_________________.

shishir__roy answered in Linear Algebra Sep 5

by shishir__roy

7.5k views

42 votes

6 answers

29

GATE CSE 2003 | Question: 72
The following resolution rule is used in logic programming. Derive clause $(P \vee Q)$ from clauses $(P\vee R),(Q \vee ¬R)$ Which of the following statements related to this rule is FALSE? $((P ∨ R)∧(Q ∨ ¬R))⇒(P ∨ Q)$ ... if $(P ∨ R)∧(Q ∨ ¬R)$ is satisfiable $(P ∨ Q)⇒ \text{FALSE}$ if and only if both $P$ and $Q$ are unsatisfiable

prithatiti answered in Mathematical Logic Sep 5

9.0k views

0 votes

0 answers

30

Eigen Value Of A Matrix
For given Matrix: [ 1 2 3 1 5 1 3 1 1 ] Why does the sum of the eigen values of above matrix is the sum of diagonal elements of that matrix?

ryandany07 asked in Linear Algebra Sep 4

66 views

0 votes

0 answers

31

Linear Algebra
MX = O is a homogeneous equation and such an equation when |M| = 0 has non trivial solution. M: Square Matrix O: Null Matrix Kindly help me with the above statement.

ryandany07 asked in Mathematical Logic Aug 30

73 views

0 votes

0 answers

32

Engineering Mathematics
How the value of a1 = 3, a2 = 2 is calculated.

GateOverflow04 asked in Mathematical Logic Aug 25

by GateOverflow04

59 views

0 votes

1 answer

33

combinatorics problem-2
How many ways are there to distribute 5 distinct toys among 3 children such that every child gets at least 1 toy? answer given is 150. but I'm getting 9. My approach go as follows: step-1 : give 1 toy to all 3 children, now, I am left with (5-3) = ... to either of first or second or third child. thus, toy1 has 3 choices and so do toy2. Therefore, my answer would be 3*3 = 9.

Roshakaw asked in Combinatory Aug 25

119 views

1 vote

2 answers

34

Combinatorics
How many ways are there to distribute 10 identical candies among 3 children such that the first child receives at least 2 candies, the second child receives atmost 6 candies and the third child receives atmost 3 candies.

Roshakaw asked in Combinatory Aug 25

127 views

0 votes

1 answer

35

Engineering Mathematics
Does the given solution is correct: When S is symmetric and transitive, if S contain (3,1),(1,3) then (3,3) should also be present form transitivity. Please verify the solution.

GateOverflow04 asked in Set Theory & Algebra Aug 23

by GateOverflow04

100 views

5 votes

0 answers

36

Combinatorics : Distinct objects and Distinct boxes
How many ways are there to Distribute 7 distinct objects to 3 Distinct boxes and No box should be Empty Any box can be Empty

[ Jiren ] asked in Combinatory Aug 22

102 views

0 votes

1 answer

37

Engineering Mathematics
why 4^10 is done. solution: Please explain the last portion why 4^ 10 is done.

GateOverflow04 asked in Set Theory & Algebra Aug 22

by GateOverflow04

83 views

1 vote

0 answers

38

Engineering Mathematics
Please verify the solution(the differentiation part ),

GateOverflow04 asked in Calculus Aug 21

by GateOverflow04

99 views

0 votes

2 answers

39

maths probability
A dice is tossed seven times. What is the probability that all six faces appear at least once?

jugnu1337 asked in Probability Aug 15

170 views

0 votes

1 answer

40

maths igate test series
Which of the relations below can also be characterized as a function defined on the set I = { 1, 2, 3, 4, 5 } { (x, y) | x, y ∈ I, x < y } B{ (x, y) | x, y ∈ I, x = 1 } C{ (x, y) | x, y ∈ I, x! = y } None of these

jugnu1337 asked in Set Theory & Algebra Aug 15

97 views

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Recent questions and answers in Engineering Mathematics