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Recent questions tagged tbb-mathematics-2
5
votes
2
answers
1
Test by Bikram | Mathematics | Test 2 | Question: 30
Let $S$ be the set $\{1,2,3, \dots ,8\}$. Let $n$ be the number of sets of two non-empty disjoint subsets of $S$. The value of $n$ is _______.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
339
views
tbb-mathematics-2
numerical-answers
5
votes
1
answer
2
Test by Bikram | Mathematics | Test 2 | Question: 29
Total number of ways we can fill a $4 \times 4$ matrix by $0$ and $1$’s such that every row and column contains odd no of $0$'s and $1$'s is ________.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
277
views
tbb-mathematics-2
numerical-answers
2
votes
1
answer
3
Test by Bikram | Mathematics | Test 2 | Question: 28
What is the solution of the following recurrence relation? $a_n = 6.a_{n-1} - 9.a_{n-2}$ Base cases : $a_0 = 1$ and $a_1 = 6$. $3n$ $2.3n$ $3n + n.3n$ $3n - n.3n$
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
102
views
tbb-mathematics-2
recurrence-relation
2
votes
2
answers
4
Test by Bikram | Mathematics | Test 2 | Question: 27
Which of the above is a lattice : b and c a and d b and d a only
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
180
views
tbb-mathematics-2
3
votes
1
answer
5
Test by Bikram | Mathematics | Test 2 | Question: 26
$O(G) = 12$ and $G$ is cyclic. The total number of generators possible in $G$ are __________.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
176
views
tbb-mathematics-2
numerical-answers
8
votes
3
answers
6
Test by Bikram | Mathematics | Test 2 | Question: 25
See the above table of a,b,c,d. The total number of subgroups possible from the above diagram are _______.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
252
views
tbb-mathematics-2
numerical-answers
2
votes
1
answer
7
Test by Bikram | Mathematics | Test 2 | Question: 24
$A$ and $B$ are two sets such that $n(A) * n(B) = 7$ and $A \subset K \subset B$, where $n(X)$ is the cardinality of set $X$ and $K$ is a set. Then, to satisfy proper subset constraint, the total number of $K$ sets possible is _______.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
228
views
tbb-mathematics-2
numerical-answers
5
votes
3
answers
8
Test by Bikram | Mathematics | Test 2 | Question: 23
$U = \{1,2,3,4,5 \}$ and $A$ and $B$ are two subsets. If $n(A \cap B) = 2$ and $A \neq B$ then, total number of ordered pairs $(A,B)$ possible are _________ (where $n(A)$ is the cardinality of set $A$).
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
359
views
tbb-mathematics-2
numerical-answers
1
vote
2
answers
9
Test by Bikram | Mathematics | Test 2 | Question: 22
Which one of the following is a Partial Order Relation ? Refer the Partial Order Diagram above. b and c a and b a and c c only
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
164
views
tbb-mathematics-2
1
vote
1
answer
10
Test by Bikram | Mathematics | Test 2 | Question: 21
Which of the following properties of variance is true? $V(px)=p^2(V(x); $ if $x$ is random variable and $p$ is constant. $V(x-4)=V(x)-V(4);$ if $x$ and $y$ are independent random variables. $V(px+z)=p^2(V(x)+z;$ ... are constants. [$V$ is the symbol that represents Variance.] Only (i) All are true (i) & (iii) are true (ii) and (iii) only
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
113
views
tbb-mathematics-2
2
votes
3
answers
11
Test by Bikram | Mathematics | Test 2 | Question: 20
An equivalent relation $R$ has three equivalent classes of sizes $5,6,7$. The cardinality of $R$, therefore, is ______.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
290
views
tbb-mathematics-2
numerical-answers
1
vote
0
answers
12
Test by Bikram | Mathematics | Test 2 | Question: 19
Read the statements below and pick the correct ones: $R$ is symmetric if $R == R-1$ $R$ on a set $A$ is anti symmetric if and only if $R \cap R-1$ is the subset of diagonal relation. If $R$ is reflexive and transitive then ... real numbers and a is a positive constant. I,II are correct. I,II,III are correct. I,III,IV are correct. All are correct.
Bikram
asked
in
Set Theory & Algebra
May 24, 2017
by
Bikram
265
views
tbb-mathematics-2
relations
2
votes
2
answers
13
Test by Bikram | Mathematics | Test 2 | Question: 18
The total number of pairs of positive integers possible for $p, \:q$ to satisfy $( 1/p + 4/q = 1/12)$ is _________ (where $q$ is any odd integer less than $60$).
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
254
views
tbb-mathematics-2
numerical-answers
1
vote
1
answer
14
Test by Bikram | Mathematics | Test 2 | Question: 17
$\forall \: x \: \exists \: y \: [ x + y = 2 \wedge 2x - y = 1 ]$. Truth value of this statement is : T F Both T and F Neither T nor F
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
120
views
tbb-mathematics-2
2
votes
1
answer
15
Test by Bikram | Mathematics | Test 2 | Question: 16
The diameter of a pipe is assumed to be a continuous random variable with density function $f(x) = 6x(1+x)/5$, where $x$ is between $0$ and $1$. The mean of the pipe is _______ (in one decimal place).
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
154
views
tbb-mathematics-2
numerical-answers
1
vote
1
answer
16
Test by Bikram | Mathematics | Test 2 | Question: 15
Read the following premises: $\textbf{A} \rightarrow X \text{ or } Y \text{ or not }P$ $\textbf{B} \rightarrow \text{ not }Y$ $A \text{ or not } B \rightarrow P$ $Y \text{ and } A \text{ are true}$ Which of the following statements is ... $X$ is true. $\textbf{A}$ and $\textbf{B}$ are false. Either $X$ or $Y$ is true.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
157
views
tbb-mathematics-2
2
votes
2
answers
17
Test by Bikram | Mathematics | Test 2 | Question: 14
Given $f : Z^*Z \rightarrow Z$ And: $f(m,n) = \mid m \mid – \mid n \mid$ $f(m,n) = m2 + n2$ $f(m,n) = m2 – 4$ $f(m,n) = 2m – n$ Which one of the following options is correct? only IV is onto. only IV and I are onto. III is not onto. II is onto.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
175
views
tbb-mathematics-2
1
vote
1
answer
18
Test by Bikram | Mathematics | Test 2 | Question: 13
With reference to the above diagram: $f$ is onto, $g$ is onto $\implies \: g.f$ is onto. if $g.f$ is one-to-one $\implies \: g$ and $f$ both need to be one-to-one. if $g.f$ is onto $\implies \: g$ has to be ... is bijective Which of the following statements is TRUE? I,II are correct. I,II,III are correct. I,III,IV are correct. I,IV are correct.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
135
views
tbb-mathematics-2
1
vote
2
answers
19
Test by Bikram | Mathematics | Test 2 | Question: 12
The total number of functions from the set $\{1,2,3,4, \dots ,10\}$ to the set $\{0,1\}$ that assign $1$ to exactly one of the positive integers less than $10$ are ______.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
308
views
tbb-mathematics-2
numerical-answers
5
votes
2
answers
20
Test by Bikram | Mathematics | Test 2 | Question: 11
$3x + y + z + w = 14$ The number of non negative integral solutions possible is _______.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
343
views
tbb-mathematics-2
numerical-answers
4
votes
3
answers
21
Test by Bikram | Mathematics | Test 2 | Question: 10
$S = 1.2 + 2.3.x + 3.4.x^2 + 4.5.x^3 + \dots +\infty$ where $x = 0.5$. The sum of the series is _________.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
283
views
tbb-mathematics-2
numerical-answers
number-series
5
votes
4
answers
22
Test by Bikram | Mathematics | Test 2 | Question: 9
The total number of bit strings (that contain only $0$'s and $1$'s) of length $6$ that do NOT contain consecutive zeros are _______.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
254
views
tbb-mathematics-2
numerical-answers
4
votes
1
answer
23
Test by Bikram | Mathematics | Test 2 | Question: 8
There are three divisions of employees and each category has $5$ employees. The total number of ways a team of $8$ employees can be formed (where at least $2$ members from each division must be included in the team) is _________.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
291
views
tbb-mathematics-2
numerical-answers
1
vote
1
answer
24
Test by Bikram | Mathematics | Test 2 | Question: 7
A student writes $40$ chemistry True/False questions in an exam. Among these questions, $17$ are true. If the questions can be positioned in any order, then how many different answer keys are possible? $40! ^* (23!^* 17! )$ $40^* (23!^*17!)$ $40!/(23!^*17!)$ $40!^* C(40,17)$
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
113
views
tbb-mathematics-2
3
votes
1
answer
25
Test by Bikram | Mathematics | Test 2 | Question: 6
If $A$ is a $4$ rowed square matrix such that $\mid A \mid = 4$, then $\text{adj (adj } A)$ is equal to _____. $2A$ $4A$ $8A$ $16A$
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
204
views
tbb-mathematics-2
5
votes
2
answers
26
Test by Bikram | Mathematics | Test 2 | Question: 5
Let $G$ be a graph of order $8$ in which every vertex has equal degree $D$. In order to guarantee that $G$ is connected, the minimum value of $D$ must be ____________
Bikram
asked
in
Graph Theory
May 24, 2017
by
Bikram
425
views
tbb-mathematics-2
numerical-answers
graph-theory
8
votes
2
answers
27
Test by Bikram | Mathematics | Test 2 | Question: 4
$S = \{ a_1, a_2, a_3 , \dots , a_n \}$ and $X$ and $Y$ are subsets of $S,$ where each subset represents one vertex in a graph $G$. If number of elements in $(X\setminus Y) \cup (Y\setminus X) = 3,$ then there is ... is ________. Note: The symmetric difference of two sets $z_1$ and $z_2$ is defined as $(z_1 \setminus z_2) \cup (z_2 \setminus z_1)$
Bikram
asked
in
Graph Theory
May 24, 2017
by
Bikram
299
views
tbb-mathematics-2
numerical-answers
graph-connectivity
4
votes
1
answer
28
Test by Bikram | Mathematics | Test 2 | Question: 3
Read the following statements and identify the correct ones: Any two simple connected graphs with $n$ vertices, where all vertices have degree two, are isomorphic. The maximum vertex connectivity possible is $\lfloor 2e/n \rfloor$. If $G$ is a simple ... . I,II are correct. I,II,III are correct. I,II,IV are correct. I,IV are correct.
Bikram
asked
in
Graph Theory
May 24, 2017
by
Bikram
256
views
tbb-mathematics-2
graph-theory
graph-connectivity
2
votes
3
answers
29
Test by Bikram | Mathematics | Test 2 | Question: 2
The total number of vertices in a graph is $n = 6$. The maximum number of possible edges (so that the graph remains disconnected) is ______.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
209
views
tbb-mathematics-2
numerical-answers
5
votes
2
answers
30
Test by Bikram | Mathematics | Test 2 | Question: 1
Which of the following statements is FALSE? If G(e,v) is a connected bipartite planar graph and $v \geq 3$ , then $e \leq 2v - 4$. $3,3,2,2,2,2$ is a graphic sequence. In a simple graph with at least two vertices, ... be two vertices that have the same degree. An edge set S is called cut set' if removal of edges from S disconnects the graph.
Bikram
asked
in
Mathematical Logic
May 24, 2017
by
Bikram
332
views
tbb-mathematics-2
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