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23 votes
2 answers
242
GATE CSE 1999 | Question: 1.2
The number of binary relations on a set with $n$ elements is: $n^2$ $2^n$ $2^{n^2}$ None of the above
The number of binary relations on a set with $n$ elements is:$n^2$$2^n$$2^{n^2}$None of the above
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46 votes
6 answers
244
GATE CSE 2002 | Question: 1.4
The minimum number of colours required to colour the vertices of a cycle with $n$ nodes in such a way that no two adjacent nodes have the same colour is $2$ $3$ $4$ $n-2 \left \lfloor \frac{n}{2} \right \rfloor+2$
The minimum number of colours required to colour the vertices of a cycle with $n$ nodes in such a way that no two adjacent nodes have the same colour is$2$$3$$4$$n-2 \lef...
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1 votes
2 answers
245
A is an upper triangular with all diagonal entries zero, then I+A is
A is an upper triangular with all diagonal entries zero, then I+A is (a) invertible       (b) idempotent (c) singular        (d) nilpotent
A is an upper triangular with all diagonal entries zero, then I+A is(a) invertible       (b) idempotent(c) singular        (d) nilpotent
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29 votes
4 answers
248
GATE CSE 2012 | Question: 26
Which of the following graphs is isomorphic to
Which of the following graphs is isomorphic to
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14 votes
5 answers
249
GATE CSE 1995 | Question: 1.18
The probability that a number selected at random between $100$ and $999$ (both inclusive) will not contain the digit $7$ is: $\dfrac{16}{25}$ $\left(\dfrac{9}{10}\right)^{3}$ $\dfrac{27}{75}$ $\dfrac{18}{25}$
The probability that a number selected at random between $100$ and $999$ (both inclusive) will not contain the digit $7$ is: $\dfrac{16}{25}$$\left(\dfrac{9}{10}\right)^...
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25 votes
7 answers
251
GATE CSE 2011 | Question: 31
Given $i = \sqrt{-1}$, what will be the evaluation of the definite integral $\int \limits_0^{\pi/2} \dfrac{\cos x +i \sin x} {\cos x - i \sin x} dx$ ? $0$ $2$ $-i$ $i$
Given $i = \sqrt{-1}$, what will be the evaluation of the definite integral $\int \limits_0^{\pi/2} \dfrac{\cos x +i \sin x} {\cos x - i \sin x} dx$ ?$0$$2$$-i$$i$
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3 votes
2 answers
253
Gate_2007 ME
The number of linearly independent Eigen vectors of is a) 0 b) 1 C) 2 d) infinite
The number of linearly independent Eigen vectors of is a) 0b) 1 C) 2d) infinite
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1 votes
1 answer
254
Discrete mathematics veii imp
Prove the validity of the following argument " If I get the job and work hard,then I'll get promoted. If I get promoted then i'll be happy. I will not be happy. Therefore either i will not get the job or i will not work hard."
Prove the validity of the following argument " If I get the job and work hard,then I'll get promoted.If I get promoted then i'll be happy.I will not be happy.Therefore ei...
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31 votes
5 answers
255
GATE CSE 2014 Set 3 | Question: 6
If $\int \limits_0^{2 \pi} |x \: \sin x| dx=k\pi$, then the value of $k$ is equal to ______.
If $\int \limits_0^{2 \pi} |x \: \sin x| dx=k\pi$, then the value of $k$ is equal to ______.
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16 votes
3 answers
258
number of perfect matching in complete graph
Is there a way to find no of perfect matchings in a complete graph Kn where n could be either even or odd..?
Is there a way to find no of perfect matchings in a complete graph Kn where n could be either even or odd..?
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24 votes
4 answers
259
GATE CSE 1992 | Question: 02,xvi
Which of the following is/are a tautology? $a \vee b \to b \wedge c$ $a \wedge b \to b \vee c$ $a \vee b \to \left(b \to c \right)$ $a \to b \to \left(b \to c \right)$
Which of the following is/are a tautology?$a \vee b \to b \wedge c$$a \wedge b \to b \vee c$$a \vee b \to \left(b \to c \right)$$a \to b \to \left(b \to c \right)$
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