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2 votes
1 answer
7481
Counting Theory
5 points were selected in an equilateral triangle with each side 1 units. There will at least 2 points (of those points) such that the distance between them can not exceed 1/2 1/3 1/4 None
5 points were selected in an equilateral triangle with each side 1 units. There will at least 2 points (of those points) such that the distance between them can not excee...
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1 votes
4 answers
7484
UGC NET CSE | December 2011 | Part 2 | Question: 49
What is the probability of choosing correctly an unknown integer between $0$ and $9$ with $3$ chances ? $\frac{963}{1000}$ $\frac{973}{1000}$ $\frac{983}{1000}$ $\frac{953}{1000}$
What is the probability of choosing correctly an unknown integer between $0$ and $9$ with $3$ chances ?$\frac{963}{1000}$$\frac{973}{1000}$$\frac{983}{1000}$$\frac{953}{1...
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3 votes
2 answers
7486
limits
what is the value of $\textstyle \lim_{x \to 2}\frac{x-2}{\log(x-1)}$
what is the value of$\textstyle \lim_{x \to 2}\frac{x-2}{\log(x-1)}$
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3 votes
1 answer
7487
Combinatorics
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1 votes
1 answer
7488
Kenneth Rosen: Counting-Chapter 5
How many license plates consisting of three letters followed by three digits contain no letter or digit twice?
How many license plates consisting of three letters followed by three digits contain no letter or digit twice?
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4 votes
1 answer
7489
UGC NET CSE | June 2016 | Part 3 | Question: 31
The number of different binary trees with 6 nodes is 6 42 132 256
The number of different binary trees with 6 nodes is642132256
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1 votes
2 answers
7491
Propositional Logic | Self doubt
Please give one example of each following logic in english sentence - 1. ($\forall$xP(x) -> $\exists$xQ(x)) == $\exists$x(P(x) -> Q(x)) 2. ($\exists$xP(x) -> $\forall$xQ(x)) -> $\forall$x(P(x) -> Q(x)) 3. $\forall$x(P(x) -> R) -> ($\exists$xP(x) -> R)
Please give one example of each following logic in english sentence -1. ($\forall$xP(x) - $\exists$xQ(x)) == $\exists$x(P(x) - Q(x))2. ($\exists$xP(x) - $\forall$xQ(x)) ...
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3 votes
2 answers
7492
Gatebook
Let A has n vertices. If Ā is connected graph then the maximum number of edges that A can have is a) (n-1)(n-2)/2 b) n(n-1)/2 c) n-1 d) n
Let A has n vertices. If Ā is connected graph then the maximum number of edges that A can have isa) (n-1)(n-2)/2b) n(n-1)/2c) n-1d) n
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2 votes
1 answer
7493
eigen vector
Let A be the matrix [3112][3112]. What is the maximum value of xT Ax where the maximum is taken over all x that are the unit eigenvectors of A? A) 3 B) (5 + √5)/2 C) 3 D) (5 - √5)/2 PLEASE EXPLAIN THE MEANING OF UNIT EIGENVECTORS OF A
Let A be the matrix [3112][3112]. What is the maximum value of xT Ax where the maximum is taken over all x that are the unit eigenvectors of A?A)3B)(5 + √5)/2C)3D)(...
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2 votes
0 answers
7494
Discrete Mathematics Imp
In the set of all integers a relation is defined by: a $\equiv$ b(mod m) i.e. m divides a-b Show that:The relation is an Equivalance Relation.
In the set of all integers a relation is defined by:a $\equiv$ b(mod m)i.e. m divides a-bShow that:The relation is an Equivalance Relation.
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1 votes
1 answer
7495
Discrete MatheMatics Imp
If A,B,C are 3 sets and R is a subset of A x B i.e R ⊆ A x B S ⊆ B x C Then Prove that :
If A,B,C are 3 sets and R is a subset of A x Bi.e R ⊆ A x BS ⊆ B x CThen Prove that :
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1 votes
2 answers
7498
MADEEASY Doubt Matrix
If A is a Skew Symmetric MAtrix then A.A is_______ a)symmetric b)skew-symmetric c)Diagonal d)nothing can be said
If A is a Skew Symmetric MAtrix then A.A is_______a)symmetric b)skew-symmetric c)Diagonal d)nothing can be said
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5 votes
3 answers
7499
UGC NET CSE | June 2016 | Part 2 | Question: 25
In how many ways can the string $A \cap B - A \cap B -A$ be fully paranthesized to yield an infix expression? 15 14 13 12
In how many ways can the string $A \cap B - A \cap B -A$ be fully paranthesized to yield an infix expression?15141312
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1 votes
0 answers
7500
made easy test series que
a real n*n matrix aij =i if i = j , otherwise 0 the determinant of all n eigen values of A is a) n(n+1)/2 b) n(n-1)/2 c) n(n+1)(2n+1)/6 d) factorial(n) my ans is d but the ans given is a. Is it correct?
a real n*n matrix aij =i if i = j , otherwise 0the determinant of all n eigen values of A isa) n(n+1)/2b) n(n-1)/2c) n(n+1)(2n+1)/6d) factorial(n)my ans is d but the ans ...
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