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

Let $U$ be the universal set for sets $A$ and $B$ such that $n open parentheses A close parentheses equals 200 comma n open parentheses B close parentheses equals 300$ and $n open parentheses A intersection B close parentheses equals 100.$ Then, $n left parenthesis A ´ intersection B ´ right parenthesis$ is equal to 300, provided that $n left parenthesis blank U right parenthesis$ is equal to

(a) 600
700
800
900

The correct answer is: 700

We have,
$n open parentheses A to the power of ´ end exponent intersection B to the power of ´ end exponent close parentheses equals n left parenthesis open parentheses A union B close parentheses ´ right parenthesis$
$rightwards double arrow n open parentheses A to the power of ´ end exponent intersection B to the power of ´ end exponent close parentheses equals n open parentheses U close parentheses minus n left parenthesis A union B right parenthesis$
$rightwards double arrow n open parentheses A to the power of ´ end exponent intersection B to the power of ´ end exponent close parentheses equals n open parentheses U close parentheses minus open curly brackets n open parentheses A close parentheses plus n open parentheses B close parentheses minus n open parentheses A intersection B close parentheses close curly brackets$
$rightwards double arrow 300 equals n blank open parentheses U close parentheses minus left curly bracket 200 plus 300 minus 100 right curly bracket$
$rightwards double arrow n open parentheses U close parentheses equals 700$

Related Questions to study

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?

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

Let $R$ be a reflexive relation on a set $A$ and $I$ be the identity relation on $A.$ Then,

Let $R$ be a reflexive relation on a set $A$ and $I$ be the identity relation on $A.$ Then,

parallel

Let $A$ be a set represented by the squares of natural number and $x comma y$ are any two elements of $A.$ Then,

Let $A$ be a set represented by the squares of natural number and $x comma y$ are any two elements of $A.$ Then,

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?

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?

If $A equals left curly bracket x blank colon x blank$ is a multiple of $blank 3 right curly bracket$ and,
$B equals left curly bracket x blank colon x blank$ is a multiple of $blank 5 right curly bracket$ , then $A minus B$ is

If $A equals left curly bracket x blank colon x blank$ is a multiple of $blank 3 right curly bracket$ and,
$B equals left curly bracket x blank colon x blank$ is a multiple of $blank 5 right curly bracket$ , then $A minus B$ is

parallel

In Q.No. $6 comma not stretchy ⋂ from n equals 3 to 10 of A subscript n end subscript equals$

In Q.No. $6 comma not stretchy ⋂ from n equals 3 to 10 of A subscript n end subscript equals$

If $A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript subset of horizontal ellipsis subset of A subscript 50 end subscript$ and $n open parentheses A subscript i end subscript close parentheses equals i minus 1 comma$ then $n open parentheses not stretchy ⋂ from i equals 11 to 50 of A subscript i end subscript close parentheses equals$

If $A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript subset of horizontal ellipsis subset of A subscript 50 end subscript$ and $n open parentheses A subscript i end subscript close parentheses equals i minus 1 comma$ then $n open parentheses not stretchy ⋂ from i equals 11 to 50 of A subscript i end subscript close parentheses equals$

If $R$ is a relation from a set $A$ to a set $B$ and $S$ is a relation from $B$ to a set $C comma$ then the relation $S o R$

If $R$ is a relation from a set $A$ to a set $B$ and $S$ is a relation from $B$ to a set $C comma$ then the relation $S o R$

parallel

If $A equals open curly brackets ϕ comma open curly brackets ϕ close curly brackets close curly brackets comma$ then the power set of $A$ is

If $A equals open curly brackets ϕ comma open curly brackets ϕ close curly brackets close curly brackets comma$ then the power set of $A$ is

If $A comma B$ and $C$ are three non-empty sets such that $A$ and $B$ are disjoint and the number of elements contained in $A$ is equal to those contained in the set of elements common to the sets $A$ and $C comma$ then $n left parenthesis A union B union C right parenthesis$ is necessarily equal to

If $A comma B$ and $C$ are three non-empty sets such that $A$ and $B$ are disjoint and the number of elements contained in $A$ is equal to those contained in the set of elements common to the sets $A$ and $C comma$ then $n left parenthesis A union B union C right parenthesis$ is necessarily equal to

For real numbers $x$ and $y comma$ we write $x blank R y left right double arrow x minus y plus square root of 2$ is an irrational number. Then, the relation $R$ is

For real numbers $x$ and $y comma$ we write $x blank R y left right double arrow x minus y plus square root of 2$ is an irrational number. Then, the relation $R$ is

parallel

Consider the following statements:
i) Every reflexive relation is antisymmetric
ii) Every symmetric relation is antisymmetric
Which one among (i) and (ii) is true?

Consider the following statements:
i) Every reflexive relation is antisymmetric
ii) Every symmetric relation is antisymmetric
Which one among (i) and (ii) is true?

Let $n open parentheses U close parentheses equals 700 comma blank n open parentheses A close parentheses equals 200 comma blank n open parentheses B close parentheses equals 300$ and $n open parentheses A intersection B close parentheses equals 100.$ Then, $n open parentheses A to the power of c end exponent intersection B to the power of c end exponent close parentheses equals$

Let $n open parentheses U close parentheses equals 700 comma blank n open parentheses A close parentheses equals 200 comma blank n open parentheses B close parentheses equals 300$ and $n open parentheses A intersection B close parentheses equals 100.$ Then, $n open parentheses A to the power of c end exponent intersection B to the power of c end exponent close parentheses equals$

If $R equals left curly bracket open parentheses a comma b close parentheses colon open vertical bar a plus b close vertical bar equals a plus b right curly bracket$ is a relation defined on a set $open curly brackets negative 1 comma blank 0 comma blank 1 close curly brackets comma$ then $R$ is

If $R equals left curly bracket open parentheses a comma b close parentheses colon open vertical bar a plus b close vertical bar equals a plus b right curly bracket$ is a relation defined on a set $open curly brackets negative 1 comma blank 0 comma blank 1 close curly brackets comma$ then $R$ is

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.