# Definition of Sets

## Trending Questions

**Q.**Three sets A, B, and C are defined as,

A={x:x is a whole number less than equal to 10}B={x:x is a letter in the word "ARITHMETIC"}C={x:x is a prime number less than 30}

With respect to the cardinality of these sets, choose the correct option.

- n(A)≠n(B)≠n(C)
- n(A)=n(C)≠n(B)
- n(B)=n(C)≠n(A)
- n(A)=n(B)=n(C)

**Q.**

Which of the following collection is not a set?

The vowels in the English alphabet

All natural numbers which divide 42

Names of 10 most renowned actors

Names of rivers in India

**Q.**

Janhavi types 480 words in 15 minutes. How many words would she type in 5 minutes?

150

170

160

140

**Q.**The number of elements in the set {x : x is a letter of the word 'MISSISSIPPI'}, is ____ .

- 4

**Q.**If X = { 1, 3, 5, 7}, then n(X) = _________.

- 1
- 2
- 4
- 3

**Q.**Choose the subset of the set {b, a, l, i}.

- {b, a, l}
- {b, a, d}
- {b, a, d}
- {b, a, e}

**Q.**

The sets

A={x:x∈N and 13>2x+1} and

B={y:y∈Z and −30≤y<−25} are ___ sets.

- equal
- equivalent
- joint
- null

**Q.**Sets having at least one element in common are called joint or overlapping sets.

- True
- False

**Q.**

Which of the below is a mapping?

None of the these

**Q.**If X = { 1, 3, 5, 7}, then n(X) = _________.

- 4
- 3
- 1
- 2

**Q.**The set Z = { ..........., -1, 0, 1, 2, ........}, this form of represention of a set is called _________________.

- Set-Builder form
- Rule method
- Roster form
- Tabular form

**Q.**

The sets

A={x:x∈N and 13>2x+1} and

B={y:y∈Z and −30≤y<−25} are ___ sets.

- nan
- equivalent
- equal
- joint

**Q.**A ={x: x∈N and x≤8}

This form of representation of set is called __________.

- Set -Builder form
- Rule Method
- Roster form
- Tabular method

**Q.**What is the additive identity for a number x?

- -x
- 1
- 0
- x

**Q.**Question 9

A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:

2.63.03.73.22.24.13.54.53.52.33.23.43.83.24.63.72.54.43.43.32.93.04.32.83.53.23.93.23.23.13.73.44.63.83.22.63.54.22.93.6

Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the intervals 2−2.5.

**Q.**By which smallest number the given numbers below should be divided, so that the result becomes a perfect square

396

**Q.**

In how many ways can the letters of the word INSURANCE be arranged so that vowels are occupied at even places?

**Q.**Choose the subset of the set {b, a, l, i}.

- {b, a, e}
- {b, a, l}
- {b, a, d}
- {b, a, d}

**Q.**

doesnt the definition of sets have the word non-repeated also?

such that- A set is a collection of well-defined and __non-repeated__ objects?

**Q.**Sets having at least one element in common are called joint or overlapping sets.

- False
- True

**Q.**You have been studying abroad for three years and are planning to go home to your country for the vacations. You wish to write a letter to your parents, informing them about your plans. Which line would best fit the context of the letter?

- I am sorry to say that....
- I am really happy to tell you both that...
- I am pleased to inform you both that...
- It is an honor to announce that...

**Q.**

Write the given set in Set builder form.

$B=\left\{Allmonthsoftheyear\right\}$.

**Q.**If X = { 1, 3, 5, 7}, then n(X) = _________.

- 3
- 1
- 2
- 4

**Q.**

If 1/3 of a mans property is $2million , then find the value of 2/5 of his property.

**Q.**Sets having at least one element in common are called joint or overlapping sets.

- False
- True

**Q.**

All equal sets are ___ .

Joint

Equivalent

Singleton

Null

**Q.**Identify the infinite sets among the following.

- Rational numbers
- Stars in the sky
- Points in a plane
- Days in an year
- Circles in a plane
- Natural numbers
- Points in a circle
- People in a city

**Q.**(i) Every point on the numbeer line is of the form v/m, where m is a natural number.

**Q.**If X = { 1, 3, 5, 7}, then n(X) = _________.

- 2
- 3
- 4
- 1

**Q.**

Which of the following collection is not a set?

Names of rivers in India

All natural numbers which divide 42

Names of 10 most renowned actors

The vowels in the English alphabet