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Recent questions tagged engineering-mathematics

45 votes

8 answers

1051

GATE CSE 2017 Set 2 | Question: 52
If the characteristic polynomial of a $3 \times 3$ matrix $M$ over $\mathbb{R}$ (the set of real numbers) is $\lambda^3 – 4 \lambda^2 + a \lambda +30, \quad a \in \mathbb{R}$, and one eigenvalue of $M$ is $2,$ then the largest among the absolute values of the eigenvalues of $M$ is _______

Madhav asked in Linear Algebra Feb 14, 2017

by Madhav

15.4k views

27 votes

2 answers

1052

GATE CSE 2017 Set 2 | Question: 10
If $f(x) = R \: \sin ( \frac{\pi x}{2}) + S, f’\left(\frac{1}{2}\right) = \sqrt{2}$ and $\int_0^1 f(x) dx = \frac{2R}{\pi}$, then the constants $R$ and $S$ are $\frac{2}{\pi}$ and $\frac{16}{\pi}$ $\frac{2}{\pi}$ and 0 $\frac{4}{\pi}$ and 0 $\frac{4}{\pi}$ and $\frac{16}{\pi}$

Madhav asked in Calculus Feb 14, 2017

by Madhav

8.5k views

0 votes

2 answers

1053

#first course in probability #sheldon_ross
In how many ways can 3 boys and 3 girls can sit together such that ONLY boys should together?

Vicky rix asked in Combinatory Feb 10, 2017

478 views

1 vote

1 answer

1054

Test by Bikram | Mock GATE | Test 3 | Question: 54
Consider a matrix: $A =$ $\begin{bmatrix} 6 & 10\\ -2&-3 \end{bmatrix}$ The trace of $A^{10}$ is ______.

Bikram asked in Linear Algebra Feb 9, 2017

by Bikram

607 views

1 vote

2 answers

1055

Test by Bikram | Mock GATE | Test 3 | Question: 49
In a hospital $’X’$ births occur randomly at an average rate of $1.8$ births per hour. The probability that we observe $5$ births in a given interval of $2$ hours is ______.

Bikram asked in GATE Feb 9, 2017

by Bikram

542 views

1 vote

2 answers

1056

Test by Bikram | Mock GATE | Test 3 | Question: 15
$’X’$ and $’T’$ are two square matrices. $’X’$ has eigen values $3, 0, 2$. $’T’$ has eigen values $4$ and $1$. Which of the following statements is CORRECT? $X$ and $T$ both are invertible. $T$ is invertible but not $X$. $X$ is invertible but not $T$. None of them are invertible.

Bikram asked in GATE Feb 9, 2017

by Bikram

412 views

2 votes

0 answers

1057

Integration doubt
How to integrate: $\int e^{-x^{2}} dx$ More specifically, how to integrate standard normal distribution function from 0 to a?

agoh asked in Calculus Feb 9, 2017

by agoh

538 views

0 votes

0 answers

1058

Basic Calculus
what is the difference between Local maxima/minima and absolute maxima/minima ???? example would be great

bad_engineer asked in Calculus Feb 7, 2017

by bad_engineer

244 views

3 votes

1 answer

1059

GeeksQuiz No of Linearly Independent Vector for Eigen value
The number of linearly independent eigen vector for eigen value 1 $\begin{bmatrix} 1 & 3 & 2 \\ 0 & 4 & 2\\ 0 &-3 & -1 \end{bmatrix}$ ... linearly independent Vector should be equal to Matrix Rank = 1 ? The ans given is No Of Unknown - Rank ( 3-1 = 2)

yg92 asked in Linear Algebra Feb 5, 2017

by yg92

1.6k views

1 vote

1 answer

1060

GATE ME-2017 mean value
A fair six faced die is rolled many times. The mean of outcomes is __________

Neal Caffery asked in Probability Feb 4, 2017

by Neal Caffery

1.6k views

1 vote

1 answer

1061

LIMIT
$\lim_{X\rightarrow \infty } -(x+1)(e^{\frac{1}{x+1}}-1)$

Supremo asked in Calculus Feb 4, 2017

597 views

0 votes

1 answer

1062

How to calculate standard deviation for Normal Distribution calculations using Gate Virtual Calculator?

Ami Ladani asked in Probability Feb 3, 2017

1.0k views

0 votes

0 answers

1063

Made easy Linear algebra
Is it necessary that the lower triangular matrix should contain 1 as leading diagonal in LU decomposition? In the solution to this problem they have taken the triangular matrix diagonal as 1.

Tendua asked in Linear Algebra Jan 30, 2017

by Tendua

432 views

0 votes

0 answers

1064

The Dice Game
Three Players A, B and C play a game with a single die. The rules of the game are: Player A ALWAYS goes first. A rolls the die. If the die lands showing a 1 then A wins the game. If A does not throw a 1 then B has a turn. B rolls a die. If ... . Who will be the most likely winner? 3. The most likely length of the game in terms of the number of rolls of the die to produce the winner

abhi_rana asked in Probability Jan 27, 2017

269 views

1 vote

3 answers

1065

Probability
A fair coin is tossed ten times in succession. If the first toss produces a head, then the probability of getting exactly three heads in ten tosses is I am doing like :- $\frac{1}{2}*n(9,2)*\frac{1}{2}^2\frac{1}{2}^7$ I am using bionomial distribution here,Now ... (1)? After that i will find 2 success if of 9 trials. Please help,that inital (1/2) term above is correct ir should it be 1?

rahul sharma 5 asked in Probability Jan 26, 2017

by rahul sharma 5

865 views

0 votes

1 answer

1066

Probability
A,B,C and D are four players playing the dice game and who gets the number 5 first wins the game. If A starts first what is the probability that D wins the game in second trail is

Supremo asked in Probability Jan 25, 2017

769 views

1 vote

1 answer

1067

Probability
Given below are two problems that I had encountered in two different tests. They seem to me as the same type. However, the solutions provided have been done differently. Where am I wrong?

Samujjal Das asked in Probability Jan 24, 2017

by Samujjal Das

580 views

2 votes

1 answer

1068

Test by Bikram | Mock GATE | Test 2 | Question: 50
A random variable has the Probability Density Function (PDF) $f(x) = \begin{cases}3x^2&; 0 < x < 1\\ 0&; otherwise \end{cases}$ Then $P\left ( x\leqslant 1/2 \right )=$ __________

Bikram asked in Probability Jan 24, 2017

by Bikram

530 views

3 votes

2 answers

1069

Test by Bikram | Mock GATE | Test 2 | Question: 45
An experiment gives three mutually exclusive and collectively exhaustive events $X, Y, Z$ such that $P$\left ( X\right )$=$ $2P$\left ( Y\right )$ $=$ $3P$\left ( Z\right )$ Then $P$\left ( \bar{x} \right )$ is _______

Bikram asked in GATE Jan 24, 2017

by Bikram

665 views

5 votes

2 answers

1070

Test by Bikram | Mock GATE | Test 2 | Question: 36
Amazon shipped $5$ computer parts, $1$ of which was defective, and Flipkart shipped $4$ computer parts, $2$ of which were defective. One computer part is to be chosen uniformly at random from the $9$ parts shipped by the companies. If the chosen part is found to be defective, the probability that the chip came from Flipkart is _______.

Bikram asked in Probability Jan 24, 2017

by Bikram

634 views

2 votes

2 answers

1071

Test by Bikram | Mock GATE | Test 2 | Question: 33
Let A represent the below matrix: $\begin{pmatrix} 1 & 0 & 3 \\ 2 & 1 & -1 \\ 1 & -1 & 1 \end{pmatrix}$ Then which among these four options are correct : $A^{3}$ $+ 3$ $A^{2}$ $+ A – 9I = 0$ $A^{3}$ $- 3$ $A^{2}$ $- A + 9I = 0$ $A^{3}$ $- 3$ $A^{2}$ $+ A + 9I = 0$ $A^{3}$+ 3$ $A^{2}$- A + 9I = 0$

Bikram asked in GATE Jan 24, 2017

by Bikram

412 views

0 votes

0 answers

1072

Jason_Roy asked in Mathematical Logic Jan 23, 2017

304 views

0 votes

1 answer

1073

type of relation
how is it not transitive?? i mean take any time instant.ie x= 4:00 and y=4:20,z= 4:40..they are transitive..right??

Akriti sood asked in Set Theory & Algebra Jan 23, 2017

725 views

1 vote

2 answers

1074

MadeEasy Subject Test: Engineering Mathematics - Probability
Fifteen coupons are numbered from 1 to 15. Seven coupons are selected at random one at a time with replacement. What is the probability that the largest number appearing on a selected coupon is 9 ? The solution provided is (3/5)^7 but from the language ... be at least one 9 hence I think the solution should be $\frac{9^{7}-8^{7}}{15^{7}}$

Pankaj Joshi asked in Probability Jan 23, 2017

by Pankaj Joshi

1.6k views

0 votes

1 answer

1075

Graph Theory Problem-Test Series
A Connected Graph has Cut edge, Then Graph has Cut vertex also. 1. True 2. False Choose Correct One.

parthbkgadoya asked in Graph Theory Jan 20, 2017

by parthbkgadoya

4.0k views

4 votes

1 answer

1076

probability
Consider four coins, three of which are fair, that is they have heads on one side and tails on the other and both are equally likely to occur in a toss. The fourth coin has tails on both sides. Given that one coin amongst the four is picked at random and is tossed, and the outcome is seen to be tail, what is the probability that its other side is heads

Supremo asked in Probability Jan 19, 2017

434 views

4 votes

0 answers

1077

probability
If two cards are drawn from a pack of 52 cards, which are diamonds. Using Poissons distribution find the probability of getting two diamonds at least 3 times in 51 consecutive trials of two cards drawing each time _________

Supremo asked in Probability Jan 19, 2017

1.3k views

0 votes

1 answer

1078

Graph Theory
Let G be a undirected graph with 35 edges and degree of each vertex is at least 3 then maximum number of vertices possible in G is (A) 22 (B) 23 (C) 24 (D) 25 P.S. Explain with ease, if possible!

smartmeet asked in Graph Theory Jan 18, 2017

855 views

0 votes

1 answer

1079

Çșȇ ʛấẗẻ asked in Mathematical Logic Jan 18, 2017

by Çșȇ ʛấẗẻ

948 views

0 votes

1 answer

1080

mock1 ace
How to solve this?

Purple asked in Mathematical Logic Jan 18, 2017

by Purple

583 views

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Recent questions tagged engineering-mathematics