Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

If $A$ is a non-empty set, then which of the following is false?
$p blank colon$ Every reflexive relation is a symmetric relation
$q blank colon$ Every antisymmetric relation is reflexive
Which of the following is/are true?

$p$ alone
$q$ alone
Both $p$ and $q$
Neither $p$ nor $q$

The correct answer is: Neither $p$ nor $q$

If $A equals open curly brackets 12 comma 3 close curly brackets comma$ then $R equals left curly bracket open parentheses 11 close parentheses comma open parentheses 22 close parentheses comma open parentheses 33 close parentheses comma left parenthesis 12 right parenthesis right curly bracket$ is reflexive on $A$ but it is not symmetric
So, a reflexive relation need not be symmetric
The relation ‘is less than’ on the set $Z$ of integers is antisymmetric but it is not reflexive

Related Questions to study

If $n open parentheses A close parentheses equals 4 comma blank n open parentheses B close parentheses equals 3 comma blank n open parentheses A cross times B cross times C close parentheses equals 240$ , then $n left parenthesis C right parenthesis$ is equal to

If $n open parentheses A close parentheses equals 4 comma blank n open parentheses B close parentheses equals 3 comma blank n open parentheses A cross times B cross times C close parentheses equals 240$ , then $n left parenthesis C right parenthesis$ is equal to

If $A$ and $B$ are two sets such that $n open parentheses A close parentheses equals 7 comma n open parentheses B close parentheses equals 6$ and $open parentheses A intersection B close parentheses not equal to ϕ.$ Then the greatest possible value of $n open parentheses A blank capital delta blank B close parentheses comma$ is

If $A$ and $B$ are two sets such that $n open parentheses A close parentheses equals 7 comma n open parentheses B close parentheses equals 6$ and $open parentheses A intersection B close parentheses not equal to ϕ.$ Then the greatest possible value of $n open parentheses A blank capital delta blank B close parentheses comma$ is

The relation “is a factor of” on the set $N$ of all natural numbers is not

The relation “is a factor of” on the set $N$ of all natural numbers is not

parallel

The value of $open parentheses A union B union C close parentheses intersection open parentheses A intersection B to the power of C end exponent intersection C to the power of C end exponent close parentheses to the power of C end exponent intersection C to the power of C end exponent$ is

The value of $open parentheses A union B union C close parentheses intersection open parentheses A intersection B to the power of C end exponent intersection C to the power of C end exponent close parentheses to the power of C end exponent intersection C to the power of C end exponent$ is

Let $A equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of x end exponent comma x element of R close curly brackets comma$
$B equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of negative x end exponent comma x element of R close curly brackets.$ Then,

Let $A equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of x end exponent comma x element of R close curly brackets comma$
$B equals open curly brackets open parentheses x comma y close parentheses colon y equals e to the power of negative x end exponent comma x element of R close curly brackets.$ Then,

The relation $R equals open curly brackets open parentheses 13 close parentheses comma left parenthesis 35 right parenthesis close curly brackets$ is defined on the set with minimum number of elements of natural numbers. The minimum number of elements to be included in $R$ so that $R$ is an equivalence relation, is

The relation $R equals open curly brackets open parentheses 13 close parentheses comma left parenthesis 35 right parenthesis close curly brackets$ is defined on the set with minimum number of elements of natural numbers. The minimum number of elements to be included in $R$ so that $R$ is an equivalence relation, is

parallel

If $n open parentheses u close parentheses equals 100 comma n open parentheses A close parentheses equals 50 comma blank n open parentheses B close parentheses equals 20$ and $n open parentheses A intersection B close parentheses equals 10 comma$ then $n open curly brackets open parentheses A union B close parentheses to the power of c end exponent close curly brackets$

If $n open parentheses u close parentheses equals 100 comma n open parentheses A close parentheses equals 50 comma blank n open parentheses B close parentheses equals 20$ and $n open parentheses A intersection B close parentheses equals 10 comma$ then $n open curly brackets open parentheses A union B close parentheses to the power of c end exponent close curly brackets$

If $A equals open curly brackets open parentheses x comma y close parentheses blank colon y equals fraction numerator 4 over denominator x end fraction comma x not equal to 0 close curly brackets$ and
$B equals open curly brackets open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 8 comma x comma y element of R close curly brackets$ , then

If $A equals open curly brackets open parentheses x comma y close parentheses blank colon y equals fraction numerator 4 over denominator x end fraction comma x not equal to 0 close curly brackets$ and
$B equals open curly brackets open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 8 comma x comma y element of R close curly brackets$ , then

If $A$ and $B$ are two sets, then $A minus left parenthesis A minus B right parenthesis$ is equal to

If $A$ and $B$ are two sets, then $A minus left parenthesis A minus B right parenthesis$ is equal to

parallel

A class has 175 students. The following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Hoe many students have offered Mathematics alone?

A class has 175 students. The following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Hoe many students have offered Mathematics alone?

Let $A subscript 1 end subscript comma A subscript 2 end subscript comma A subscript 3 end subscript horizontal ellipsis comma A subscript 100 end subscript$ be 100 sets such that $n open parentheses A subscript i end subscript close parentheses equals i plus 1$ and $A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript subset of horizontal ellipsis subset of A subscript 100 end subscript comma$ then $not stretchy ⋃ from i equals 1 to 100 of A subscript i end subscript$ contains… elements

Let $A subscript 1 end subscript comma A subscript 2 end subscript comma A subscript 3 end subscript horizontal ellipsis comma A subscript 100 end subscript$ be 100 sets such that $n open parentheses A subscript i end subscript close parentheses equals i plus 1$ and $A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript subset of horizontal ellipsis subset of A subscript 100 end subscript comma$ then $not stretchy ⋃ from i equals 1 to 100 of A subscript i end subscript$ contains… elements

Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B.$ Then,

Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B.$ Then,

parallel

In a class of 30 pupils 12 take needls work, 16 take physics and 18 take history. If all the 30 students take at least one subject and no one takes all three, then the number of pupils taking 2 subjects is

In a class of 30 pupils 12 take needls work, 16 take physics and 18 take history. If all the 30 students take at least one subject and no one takes all three, then the number of pupils taking 2 subjects is

If $X$ and $Y$ are two sets, then $X intersection left parenthesis Y union X right parenthesis ´$ equals

If $X$ and $Y$ are two sets, then $X intersection left parenthesis Y union X right parenthesis ´$ equals

In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?

In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.