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5
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121
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 _______.
567
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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5
votes
1
answer
122
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 ________.
477
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
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2
votes
1
answer
123
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$
218
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
recurrence-relation
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2
votes
2
answers
124
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
386
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
+
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3
votes
1
answer
125
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 __________.
275
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
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8
votes
3
answers
126
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 _______.
413
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
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2
votes
1
answer
127
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...
345
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
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5
votes
3
answers
128
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...
563
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
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1
votes
2
answers
129
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
302
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
+
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1
votes
1
answer
130
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...
197
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
+
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2
votes
3
answers
131
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 ______.
520
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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1
votes
0
answers
132
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...
697
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asked
May 24, 2017
Set Theory & Algebra
tbb-mathematics-2
relations
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2
votes
2
answers
133
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 $60$).
427
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
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1
votes
1
answer
134
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
232
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asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
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2
votes
1
answer
135
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 _...
258
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
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1
votes
1
answer
136
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$$Y \text{ an...
270
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
+
–
2
votes
2
answers
137
Test by Bikram | Mathematics | Test 2 | Question: 14
Given $f : Z^*Z \rightarrow Z$ And: $f(m,n) = \mid m \mid – \mid n \mid$ $f(m,n) = m2 + n2$ $f(m,n) = m2 – 4$ $f(m,n) = 2m – n$ Which one of the following options is correct? only IV is onto. only IV and I are onto. III is not onto. II is onto.
Given $f : Z^*Z \rightarrow Z$And:$f(m,n) = \mid m \mid – \mid n \mid$$f(m,n) = m2 + n2$$f(m,n) = m2 – 4$$f(m,n) = 2m – n$ Which one of the following options is co...
350
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
+
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1
votes
1
answer
138
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 $g.f$ ...
304
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
+
–
1
votes
2
answers
139
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 ______...
588
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
–
5
votes
2
answers
140
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 _______.
518
views
asked
May 24, 2017
Mathematical Logic
tbb-mathematics-2
numerical-answers
+
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