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#3021
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1 votes
ACE Test Series
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#3022
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ACE Test Series
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#3023
532
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2 answers
1 votes
DISCRETE MATHEMATICS
Determine which one of the following is a partition of the set R of real numbers.a.[{x:x>4},{x:x<5}]b.[{x:x>0},{0},{x:x<0}]c.[{x:x^2>11},{x:x^2<11}]d.none
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#3024
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ACE Test Series
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#3025
528
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1 answers
1 votes
ACE Test Series
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#3026
408
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1 answers
0 votes
Ace academy test series
Ans:C.Please explain
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#3027
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self doubt
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#3028
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1 answers
2 votes
ME Test Series
The number of totally ordered sets compatible to the given POSET are ________
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#3029
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1 answers
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GATE Overflow | Mock GATE | Test 1 | Question: 11
Which one of the following best expresses the generating function sequence $\{a_n\}$, for the given closed form representation?$F(x) = \frac{1}{1-x-x^2}$ ... $a_n=2a_{n-1}+3, n>1, a_0=1$
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#3030
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2 answers
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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}$\frac{1}{16}$
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#3031
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1 answers
1 votes
GATE Overflow | Mock GATE | Test 1 | Question: 23
What is the minimum number of people that must be there in a room to make the probability of two people having same birthday be at least 50%? Assume a ... $ days and the probability distribution is uniform throughout.$23$182$183$123$
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#3032
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3 votes
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$
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#3033
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4 answers
2 votes
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$
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#3034
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GATE Overflow | Mock GATE | Test 1 | Question: 35
Consider the following graph.How many paths of length $4$ exist from node $A$ to node $D$?(Note: The path may have repeated vertices. You can think of it as walks in general rather than path)
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#3035
755
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1 answers
3 votes
GATE Overflow | Mock GATE | Test 1 | Question: 42
An urn contains $m$ WHITE and $n$ BLACK balls. A ball is drawn at random and is put back into the urn along with $k$ additional balls of the same color as that of the ball drawn. If now a ... +k)/(m+n+k)$(n+k)/(m+n+k)$m/(m+n+k)$m/(m+n)$
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#3036
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2 answers
4 votes
GATE Overflow | Mock GATE | Test 1 | Question: 44
For two data sets, each of size $5$, the variances are given to be $4$ and $5$ and the corresponding means are given to be $2$ and $4$ respectively. The variance of the combined data is?$11/2$6$13/2$5/2$
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#3037
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1 answers
5 votes
GATE Overflow | Mock GATE | Test 1 | Question: 51
... a graph containing $7$ nodes (namely A , B, C, D, E, F, G). The Chromatic number of the given graph is?
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#3038
1.0k
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1 answers
4 votes
GATE Overflow | Mock GATE | Test 1 | Question: 52
$\begin{bmatrix} 2 & 2 & 1 \\ 1 & 3 & 1 \\ 1 & 2 & 2 \end{bmatrix}$For the above given matrix $A,$A^3 -7A^2 +10A = $5I+A$5I-A$A-5I$6I$
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#3039
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3 answers
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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 ... $ to$8.75$7.45$9.27$8.97$
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#3040
1.1k
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1 answers
4 votes
GATE Overflow | Mock GATE | Test 1 | Question: 54
Let $S$ be a set of $n$ elements $\{1, 2, \dots n\}$ and $G$ a graph with $2^n$ vertices, where each vertex corresponds to a distinct subset of $S$. Two vertices are adjacent ... $ have, respectively?$n, 3$(n(n-1))/2,2$1, n$n+1, n$
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