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Recent questions tagged engineering-mathematics

4 votes
1 answer
631
largest eigen value
Assume determinant of a $3\times3$ matrix is a prime number and trace is $15.$Largest eigen value is _______(Assume only positve eigen values)
Assume determinant of a $3\times3$ matrix is a prime number and trace is $15.$Largest eigen value is _______(Assume only positve eigen values)
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5 votes
1 answer
634
Testbook:matrix
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2 votes
0 answers
635
The number of ways six distinct balls be distributed into 3 distinct urns. If each urn contain at least one ball are
The number of ways six distinct balls be distributed into 3 distinct urns. If each urn contain at least one ball are ____
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1 votes
0 answers
636
Linear Algebra
If $I$ is the unit matrix of order $n$ , where $k!=0$ is a constant then $adj \ kI$ is
If $I$ is the unit matrix of order $n$ , where $k!=0$ is a constant then $adj \ kI$ is
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4 votes
1 answer
638
Probability
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4 votes
3 answers
639
Total probability and Baye's theorem
When we should use Total probability and Baye's Theorem? Explain with examples.
When we should use Total probability and Baye's Theorem? Explain with examples.
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1 votes
0 answers
640
Self Doubt
In a production facility, iron rods are made with a mean diameter of 6cm and Standard Deviation of 0.02cm. If a large number of rods are tested, the approximate percentage of rods whose size fall in range of 5.98cm and 6.02 cm is _____?
In a production facility, iron rods are made with a mean diameter of 6cm and Standard Deviation of 0.02cm. If a large number of rods are tested, the approximate percentag...
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4 votes
1 answer
641
matrix adjoint
If $1,-2,3$ are the eigen values of the matrix $A$ then ratio of determinant of $B$ to the trace of $B$ is_______where $B=[adj(A)-A-A^{-1}-A^{2}]$
If $1,-2,3$ are the eigen values of the matrix $A$ then ratio of determinant of $B$ to the trace of $B$ is_______where $B=[adj(A)-A-A^{-1}-A^{2}]$
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3 votes
1 answer
642
matrix
Given that the matrix $A=\begin{bmatrix} 1 &2 &2 \\ 2 &1 &-2 \\ a& 2 &b \end{bmatrix}$ and $AAA^{T}=3I$ where $I$ is a $3\times3$ identity matrix$.$ Find $(a,b)$ can be$?$
Given that the matrix $A=\begin{bmatrix} 1 &2 &2 \\ 2 &1 &-2 \\ a& 2 &b \end{bmatrix}$ and $AAA^{T}=3I$ where $I$ is a $3\times3$ identity matrix$.$Find $(a,b)$ can be$?...
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1 votes
1 answer
643
ENGINEERING MATHEMATICS
The number of multi sets of size $4$ are possible with the elements of the set $S= \{1,2,3,4,5,6\}$ is ________ .
The number of multi sets of size $4$ are possible with the elements of the set $S= \{1,2,3,4,5,6\}$ is ________ .
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4 votes
4 answers
644
Probability of Dice
A pair of dice is rolled, till a sum of either 5 or 7 obtained. Find the probability that 5 comes before 7?
A pair of dice is rolled, till a sum of either 5 or 7 obtained. Find the probability that 5 comes before 7?
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1 votes
0 answers
645
Matrices
$\begin{bmatrix} 1 &2 &0 \\ 1& 1 &0 \\ 2& 1 &0 \end{bmatrix}$ What is the degree sequences can we get in a graph by the above matrix
$\begin{bmatrix} 1 &2 &0 \\ 1& 1 &0 \\ 2& 1 &0 \end{bmatrix}$What is the degree sequences can we get in a graph by the above matrix
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2 votes
0 answers
648
Maths: Probability
Consider that, there are 365 days in a year, what is the probability that exactly two out of ten people are born on the same day?
Consider that, there are 365 days in a year, what is the probability that exactly two out of ten people are born on the same day?
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4 votes
2 answers
649
Probability
Given 4 children lives in Mrs. A home. One fine day Mrs. A reveals to Mr. A that atleast 1 out of 4 children is a girl. Probability that there are exactly 3 girl in Mrs. A's home __________
Given 4 children lives in Mrs. A home. One fine day Mrs. A reveals to Mr. A that atleast 1 out of 4 children is a girl. Probability that there are exactly 3 girl in Mrs. ...
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1 votes
1 answer
650
Area Calculation
Consider the following set of lines :|x|+|y|=1 Area enclosed by them is A)1 B)2 C)3 D)4
Consider the following set of lines :|x|+|y|=1Area enclosed by them isA)1 B)2 C)3 D)4
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3 votes
1 answer
651
GATE 2017 - [EE]
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable Y denote the number of heads. The value of var (Y) where var (.) denotes the variance, equals (A) 7/8 (B) 49/64 (C) 7/64 (D) 105/64
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable Y denote the number of heads. The value of va...
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5 votes
0 answers
653
Maxima-Minima: EC GATE 2014
$The\ maximum\ value\ of\\f(x)\ =\ 2x^3-9x^2+12x-3\ in\ the\ interval\ 0<=x<=3\ is\ $ _____________________
$The\ maximum\ value\ of\\f(x)\ =\ 2x^3-9x^2+12x-3\ in\ the\ interval\ 0<=x<=3\ is\ $_____________________
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3 votes
0 answers
654
Maxima-Minima: ME GATE 2015
$At\ x\ =\ 0,\ the\ function\ f(x)\ =\ |x|\ has\ a\\ (a)Minimum\\(b)Maximum\\(c)a\ point\ of\ inflection\\(d)Neither\ a\ maxima\ nor\ a\ minima$
$At\ x\ =\ 0,\ the\ function\ f(x)\ =\ |x|\ has\ a\\ (a)Minimum\\(b)Maximum\\(c)a\ point\ of\ inflection\\(d)Neither\ a\ maxima\ nor\ a\ minima$
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2 votes
1 answer
655
Matrix
Let $M=\begin{pmatrix} 6 & 2\\ -2& -3 \end{pmatrix}$ then trace of $M^{5}$
Let $M=\begin{pmatrix} 6 & 2\\ -2& -3 \end{pmatrix}$then trace of $M^{5}$
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1 votes
0 answers
656
nielit scientist assistan
If a random coin is tossed $11$ times, then what is the probability that for $7$th toss head appears exactly $4$ times? $5/32$ $15/128$ $35/128$ None of the options
If a random coin is tossed $11$ times, then what is the probability that for $7$th toss head appears exactly $4$ times?$5/32$$15/128$$35/128$None of the options
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4 votes
1 answer
657
Calculus
It should be 1 and 3 ?? please correct me if I'm wrong.
It should be 1 and 3 ?? please correct me if I'm wrong.
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2 votes
1 answer
658
Linear Algebra: Matrix operations
Consider two statements:- 1) Eigenvalue of M = Eigenvalue of M' {M' is the matrix gets after row operation} 2) Eigenvalue of |M- $\lambda$I| = Eigenvalue of |M- $\lambda$I|' {|M- $\lambda$I|' is the matrix gets after row operation}
Consider two statements:-1) Eigenvalue of M = Eigenvalue of M' {M' is the matrix gets after row operation}2) Eigenvalue of |M- $\lambda$I| = Eigenvalue of |M- $\lambda$I|...
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5 votes
1 answer
660
Limit and Continuity
Evaluate the given limit : $lim_{x\rightarrow0} \ {\Large \frac{(1+x)^{\frac{1}{x}}-e}{x}}$ options : $ \\ a) \frac{e}{8} \\ b) -\frac{e}{2} \\ c)- \frac{e}{4} \\ d) 1$
Evaluate the given limit :$lim_{x\rightarrow0} \ {\Large \frac{(1+x)^{\frac{1}{x}}-e}{x}}$options :$ \\ a) \frac{e}{8} \\ b) -\frac{e}{2} \\ c)- \frac{e}{4} \\ d) 1$
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