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 $A subscript 1 end subscript comma A subscript 2 end subscript comma A subscript 3 end subscript horizontal ellipsis comma A subscript 100 end subscript$ 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

99
100
101
102

The correct answer is: 101

We have,
$A subscript 1 end subscript subset of A subscript 2 end subscript subset of A subscript 3 end subscript subset of horizontal ellipsis subset of A subscript 100 end subscript$
$therefore not stretchy ⋃ from i equals 1 to 100 of A subscript i end subscript equals A subscript 100 end subscript rightwards double arrow n open parentheses not stretchy ⋃ from i equals 1 to 100 of A subscript i end subscript close parentheses equals n open parentheses A subscript 100 end subscript close parentheses equals 101$

Related Questions to study

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,

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

parallel

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?

$open curly brackets x element of R colon fraction numerator 2 x minus 1 over denominator x to the power of 3 end exponent plus 4 x to the power of 2 end exponent plus 3 x end fraction element of R close curly brackets$ equals

$open curly brackets x element of R colon fraction numerator 2 x minus 1 over denominator x to the power of 3 end exponent plus 4 x to the power of 2 end exponent plus 3 x end fraction element of R close curly brackets$ equals

Let $A equals open curly brackets 1 comma blank 2 comma blank 3 comma blank 4 close curly brackets comma blank B equals left curly bracket 2 comma blank 4 comma blank 6 right curly bracket$ . Then, the number of sets $C$ such that $A intersection B subset of or equal to C subset of or equal to A blank union B$ is

Let $A equals open curly brackets 1 comma blank 2 comma blank 3 comma blank 4 close curly brackets comma blank B equals left curly bracket 2 comma blank 4 comma blank 6 right curly bracket$ . Then, the number of sets $C$ such that $A intersection B subset of or equal to C subset of or equal to A blank union B$ is

parallel

If $a blank N equals left curly bracket a blank x blank colon x element of N right curly bracket$ and $b blank N blank intersection c blank N equals d blank N comma$ where $b comma c element of N$ are relatively prime, then

If $a blank N equals left curly bracket a blank x blank colon x element of N right curly bracket$ and $b blank N blank intersection c blank N equals d blank N comma$ where $b comma c element of N$ are relatively prime, then

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

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

In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus is

In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus is

parallel

Let $R$ and $S$ be two relations on a set $A.$ Then, which one of the following is not true?

Let $R$ and $S$ be two relations on a set $A.$ Then, which one of the following is not true?

If $A equals open curly brackets x comma y comma z close curly brackets comma$ then the relation
$R equals left curly bracket open parentheses x comma x close parentheses comma open parentheses y comma y close parentheses comma open parentheses z comma z close parentheses comma open parentheses z comma x close parentheses comma left parenthesis z comma y right parenthesis right curly bracket$ is

If $A equals open curly brackets x comma y comma z close curly brackets comma$ then the relation
$R equals left curly bracket open parentheses x comma x close parentheses comma open parentheses y comma y close parentheses comma open parentheses z comma z close parentheses comma open parentheses z comma x close parentheses comma left parenthesis z comma y right parenthesis right curly bracket$ is

The number of elements in the set $left curly bracket open parentheses a comma b close parentheses colon 2 a to the power of 2 end exponent plus 3 b to the power of 2 end exponent equals 35 comma blank a comma blank b element of Z right curly bracket$ , where $Z$ is the set of all integers, is

The number of elements in the set $left curly bracket open parentheses a comma b close parentheses colon 2 a to the power of 2 end exponent plus 3 b to the power of 2 end exponent equals 35 comma blank a comma blank b element of Z right curly bracket$ , where $Z$ is the set of all integers, is

parallel

The relation $R$ defined in $N$ as $a blank R blank b ⟺ b$ is divisible by $a$ is

The relation $R$ defined in $N$ as $a blank R blank b ⟺ b$ is divisible by $a$ is

An investigator interviewed 100 students to determine the performance of three drinks milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee, 30 students take coffee and tea, 25 students take mile and tea, 12 students take milk only, 5 students take coffee only and 8 students take tea only. Then, the number of students who did not take any of the three drinks, is

An investigator interviewed 100 students to determine the performance of three drinks milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee, 30 students take coffee and tea, 25 students take mile and tea, 12 students take milk only, 5 students take coffee only and 8 students take tea only. Then, the number of students who did not take any of the three drinks, is

In a set of teachers of a school, two teachers are said to be related if they “teach the same subject”, then the relation is

In a set of teachers of a school, two teachers are said to be related if they “teach the same subject”, then the relation 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.