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Recent questions tagged tbb-mathematics-2
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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 _______.
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
567
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Bikram
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May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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5
votes
1
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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 ________.
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
477
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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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 $a_1 = 6$. $3n$ $2.3n$ $3n + n.3n$ $3n - n.3n$
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
218
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
recurrence-relation
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2
votes
2
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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
Which of the above is a lattice :b and ca and db and da only
Bikram
387
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
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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 __________.
$O(G) = 12$ and $G$ is cyclic. The total number of generators possible in $G$ are __________.
Bikram
275
views
Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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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 _______.
See the above table of a,b,c,d. The total number of subgroups possible from the above diagram are _______.
Bikram
413
views
Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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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 _______.
$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 su...
Bikram
345
views
Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
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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$).
$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...
Bikram
563
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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1
votes
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
Which one of the following is a Partial Order Relation ?Refer the Partial Order Diagram above.b and ca and ba and cc only
Bikram
302
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
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1
votes
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
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...
Bikram
197
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
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2
votes
3
answers
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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 ______.
An equivalent relation $R$ has three equivalent classes of sizes $5,6,7$. The cardinality of $R$, therefore, is ______.
Bikram
520
views
Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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1
votes
0
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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.
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...
Bikram
697
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Bikram
asked
May 24, 2017
Set Theory & Algebra
tbb-mathematics-2
relations
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2
votes
2
answers
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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 $60$).
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
429
views
Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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1
votes
1
answer
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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
$\forall \: x \: \exists \: y \: [ x + y = 2 \wedge 2x - y = 1 ]$. Truth value of this statement is :TFBoth T and FNeither T nor F
Bikram
232
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
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2
votes
1
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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).
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 _...
Bikram
258
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
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1
votes
1
answer
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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.
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$$Y \text{ an...
Bikram
270
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
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2
votes
2
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Test by Bikram | Mathematics | Test 2 | Question: 14
Given $f : Z^*Z \rightarrow Z$ And: $f(m,n) = \mid m \mid – \mid n \mid$ $f(m,n) = m2 + n2$ $f(m,n) = m2 – 4$ $f(m,n) = 2m – n$ Which one of the following options is correct? only IV is onto. only IV and I are onto. III is not onto. II is onto.
Given $f : Z^*Z \rightarrow Z$And:$f(m,n) = \mid m \mid – \mid n \mid$$f(m,n) = m2 + n2$$f(m,n) = m2 – 4$$f(m,n) = 2m – n$ Which one of the following options is co...
Bikram
350
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
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1
votes
1
answer
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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.
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 $g.f$ ...
Bikram
304
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
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1
votes
2
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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 ______.
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
588
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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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 _______.
$3x + y + z + w = 14$The number of non negative integral solutions possible is _______.
Bikram
518
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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4
votes
3
answers
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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 _________.
$S = 1.2 + 2.3.x + 3.4.x^2 + 4.5.x^3 + \dots +\infty$ where $x = 0.5$.The sum of the series is _________.
Bikram
572
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
number-series
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5
votes
4
answers
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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 _______.
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
493
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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4
votes
1
answer
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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 _________.
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 fro...
Bikram
438
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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1
votes
1
answer
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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? $40! ^* (23!^* 17! )$ $40^* (23!^*17!)$ $40!/(23!^*17!)$ $40!^* C(40,17)$
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 diff...
Bikram
315
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
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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 _____. $2A$ $4A$ $8A$ $16A$
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
345
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
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5
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2
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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 ____________
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
720
views
Bikram
asked
May 24, 2017
Graph Theory
tbb-mathematics-2
numerical-answers
graph-theory
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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 $(z_1 \setminus z_2) \cup (z_2 \setminus z_1)$
$S = \{ a_1, a_2, a_3 , \dots , a_n \}$ 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 ...
Bikram
494
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Bikram
asked
May 24, 2017
Graph Theory
tbb-mathematics-2
numerical-answers
graph-connectivity
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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.
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 maxi...
Bikram
455
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Bikram
asked
May 24, 2017
Graph Theory
tbb-mathematics-2
graph-theory
graph-connectivity
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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 ______.
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
366
views
Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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5
votes
3
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.
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 ...
Bikram
698
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Bikram
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
+
–
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