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Recent questions tagged set-theory&algebra

2 votes
1 answer
391
NIELIT 2016 MAR Scientist C - Section C: 16
If $f:\{a,b\}^{\ast}\rightarrow \{a,b\}^{\ast }$ be given by $f(n)=ax$ for every value of $n\in \{a,b\}$, then $f$ is one to one not onto one to one and onto not one to one and not onto not one to one and onto
If $f:\{a,b\}^{\ast}\rightarrow \{a,b\}^{\ast }$ be given by $f(n)=ax$ for every value of $n\in \{a,b\}$, then $f$ isone to one not ontoone to one and ontonot one to one ...
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2 votes
1 answer
396
NIELIT 2016 DEC Scientist B (CS) - Section B: 34
How many onto (or surjective) functions are there from an $n$-element $(n>=2)$ set to a $2$-element set? $2^n$ $2^n-1$ $2^n-2$ $2(2^n-2)$
How many onto (or surjective) functions are there from an $n$-element $(n>=2)$ set to a $2$-element set?$2^n$$2^n-1$$2^n-2$$2(2^n-2)$
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3 votes
1 answer
398
NIELIT 2017 July Scientist B (IT) - Section B: 10
What is the Cartesian product of $A=\{1,2\}$ and $B=\{a,b\}$? $\{(1,a),(1,b),(2,a),(b,b)\}$ $\{(1,1),(2,2),(a,a),(b,b)\}$ $\{(1,a),(2,a),(1,b),(2,b)\}$ $\{(1,1),(a,a),(2,a),(1,b)\}$
What is the Cartesian product of $A=\{1,2\}$ and $B=\{a,b\}$?$\{(1,a),(1,b),(2,a),(b,b)\}$$\{(1,1),(2,2),(a,a),(b,b)\}$$\{(1,a),(2,a),(1,b),(2,b)\}$$\{(1,1),(a,a),(2,a),(...
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1 votes
1 answer
401
NIELIT 2017 July Scientist B (IT) - Section B: 17
​ Let $N=\{1,2,3,\dots\}$ be ordered by divisibility, which of the following subset is totally ordered? $(2,6,24)$ $(3,5,15)$ $(2,9,16)$ $(4,15,30)$
​ Let $N=\{1,2,3,\dots\}$ be ordered by divisibility, which of the following subset is totally ordered?$(2,6,24)$$(3,5,15)$$(2,9,16)$$(4,15,30)$
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1 votes
1 answer
405
NIELIT 2017 July Scientist B (IT) - Section B: 22
Let $L$ be a lattice. Then for every $a$ and $b$ in $L$ which one of the following is correct? $a\lor b = a​\land \:b$ $a\lor(b\lor c)=(a\lor b)\lor c$ $a\lor(b​\land \:c)=a$ $a\lor(b\lor c)=b$
Let $L$ be a lattice. Then for every $a$ and $b$ in $L$ which one of the following is correct?$a\lor b = a​\land \:b$$a\lor(b\lor c)=(a\lor b)\lor c$$a\lor(b​\land \:...
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1 votes
4 answers
406
NIELIT 2017 DEC Scientist B - Section B: 46
The number of integers between $1$ and $500$(both inclusive) that are divisible by $3$ or $5$ or $7$ is _________. $269$ $270$ $271$ $272$
The number of integers between $1$ and $500$(both inclusive) that are divisible by $3$ or $5$ or $7$ is _________.$269$$270$$271$$272$
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0 votes
2 answers
408
UGC NET CSE | January 2017 | Part 2 | Question: 4
How many multiples of $6$ are there between the following pairs of numbers? $0$ and $100$ and $-6$ and $34$ $1$ and $6$ $17$ and $6$ $17$ and $7$ $16$ and $7$
How many multiples of $6$ are there between the following pairs of numbers?$0$ and $100$ and $-6$ and $34$$1$ and $6$$17$ and $6$$17$ and $7$$16$ and $7$
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3 votes
1 answer
409
ISRO2020-76
If $A=\{x,y,z\}$ and $B=\{u,v,w,x\}, $ and the universe is $\{s,t,u,v,w,x,y,z\}$. Then $(A \cup \overline{B}) \cap (A \cap B)$ is equal to $\{u,v,w,x\}$ $\{ \: \}$ $\{u,v,w,x,y,z\}$ $\{u,v,w\}$
If $A=\{x,y,z\}$ and $B=\{u,v,w,x\}, $ and the universe is $\{s,t,u,v,w,x,y,z\}$. Then $(A \cup \overline{B}) \cap (A \cap B)$ is equal to$\{u,v,w,x\}$$\{ \: \}$$\{u,v,w,...
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1 votes
2 answers
411
UGC NET CSE | June 2019 | Part 2 | Question: 9
Find the zero-one matrix of the transitive closure of the relation given by the matrix $A$ : $A =\begin{bmatrix} 1 & 0& 1\\ 0 & 1 & 0\\ 1& 1& 0 \end{bmatrix}$ ... $\begin{bmatrix} 1 & 1& 1\\ 0 & 1 & 0\\ 1& 0& 1 \end{bmatrix}$
Find the zero-one matrix of the transitive closure of the relation given by the matrix $A$ :$$A =\begin{bmatrix} 1 & 0& 1\\ 0 & 1 & 0\\ 1& 1& 0 \end{bmatrix}$$$\begin{bma...
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19 votes
2 answers
413
GATE CSE 1995 | Question: 25b
Determine the number of positive integers $(\leq 720)$ which are not divisible by any of $2,3$ or $5.$
Determine the number of positive integers $(\leq 720)$ which are not divisible by any of $2,3$ or $5.$
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0 votes
2 answers
415
Hasse Doubt
what is the least upper bound of {a, b, c}?
what is the least upper bound of {a, b, c}?
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