**Sets** Class- 7th RS Aggarwal Exe-6 E Goyal Brothers ICSE Math Solution . We provide step by step Solutions of lesson-6 Sets for ICSE Class-7 **Foundation RS Aggarwal Mathematics** of Goyal Brothers Prakashan . Our Solutions contain all type Questions of Exe-6 E to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-7 Mathematics. we would in this article about MCQs, Fill in the blanks, and True/False.

## Sets Class- 7th RS Aggarwal Exe-6 E Goyal Brothers ICSE Maths Solution

Board | ICSE |

Publications | Goyal brothers Prakashan |

Subject | Maths |

Class | 7th |

Chapter-6 | Sets |

Writer | RS Aggrawal |

Book Name | Foundation |

Topics | Solution of Exe-6 E |

Academic Session | 2023 – 2024 |

**MULTIPLE CHOICE QUESTIONS**

**Exercise – 6 E**

Sets Class- 7th RS Aggarwal Goyal Brothers ICSE Maths Solution

**Choose the correct option in each of the following :**

**1. Which of the following is a finite set ?**

(a) Set of all natural numbers greater than 500.

(b) Set of all integers less than 5.

(c) Set of all even prime numbers.

(d) Set of all multiples of 3.

**Answer:** option **(c) Set of all even prime numbers** is correct.

**2. Which of the following is a pair of disjoint sets ?**

(a) A = {even natural numbers} and B = {prime numbers}

(b) C = {multiples of 2} and D = {multiples of 3}

(c) E = {factors of 24} and F = {factors of 9}

(d) G = {letters in the word ‘RHYTHM’} and H = {Vowels in English Alphabet}

**Answer:** option **(d) G = {letters in the word ‘RHYTHM’} and H = {Vowels in English Alphabet}** is correct.

**3. The cardinal number of the set A, defined as A = Set of all prime numbers less than 100, is **

(a) -20

(b) 22

(c) 24

(d) 25

**Answer:** option **(d) 25** is correct.

**4. The number of proper subsets of the set {α, β, ∅, θ, η} is**

(a) 24

(b) 25

(c) 31

(d) 32

**Answer:** option **(c) 31** is correct.

**5. The sets {a, b, c} and {x, y, z} are**

(a) overlapping sets

(b) equal sets

(c) singleton sets

(d) equivalent sets

**Answer:** option **(d) equivalent sets** is correct.

**6. A = {x : x is a prime number} and B = {x : x is an even natural number}. Then, A ∩ B is**

(a) an empty set

(b) a singleton set

(c) an infinite set

(d) equal to A

**Answer:** option **(b) a singleton set** is correct.

**7. If A = {x : x ∈ N, 5 ≤ x < 10} and B = {1, 2, 3, 4, 5}, then n(A – B) is equal to**

(a) 1

(b) 2

(c) 4

(d) 5

**Answer:** option **(a) 1** is correct.

**8. If X = {x : x is a multiple of 5} and Y = {x : x is a multiple of 7}, then X ∩ Y is**

(a) ∅

(b) {x : x is a multiple of 2}

(c) {5, 7}

(d) {x : x is a multiple of 35}

**Answer:** option **(d) {x : x is a multiple of 35}** is correct.

**9. {∅} is a / an**

(a) empty set

(b) infinite set

(c) singleton set

(d) universal set

**Answer:** option **(c) singleton set** is correct.

**10. If A is any set and U is the universal set, then the complement of A is **

(a) ∅

(b) A

(c) U – A

(d) U

**Answer:** option **(c) U – A** is correct.

**11. n(A – B) is equal to**

(a) n(A) – n(B)

(b) n(A) – n(A ∪ B)

(c) n(A ∪ B) – n(A ∩ B)

(d) n(A) – n(A ∩ B)

**Answer:** option **(d) n(A) – n(A ∩ B)** is correct.

**MENTAL MATHS**

Sets Class- 7th RS Aggarwal Goyal Brothers ICSE Maths Solution

**1. Fill in the blanks :**

(i) In a **set-builder** form, we list the properties satisfied by each element of the set.

(ii) A void set is usually denoted by **∅.**

(iii) If A ⊆ X, then X is called a **superset** of A.

(iv) Two finite sets having the same number of elements are said to be **equivalent**.

(v) n(A ∪ B) + n(A ∩ B) = **n(A) + n(B)**.

**2. Write true (T) or false (F) :**

Statement |
True/False |

(i) The number of proper subsets of a set containing n elements is 2^{n}. |
F |

(ii) Any set A and its complement are equivalent sets. | F |

(iii) The complement of a set is a subset of U. | T |

(iv) If n(A ∩ B) = ∅, then n(B – A) = n(B) | T |

(v) If two sets A and B are disjoint, then n(A ∪ B) = n(A) + n(B) | T |

**— : end of Sets Class- 7th RS Aggarwal Exe-6 E Goyal Brothers ICSE Maths Solution:–**

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