9 वी - महाराष्ट्र बोर्ड - गणित भाग 1 टेस्ट - चॅप्टर 1 - Sets
9 वी - महाराष्ट्र बोर्ड - गणित भाग 1 टेस्ट - चॅप्टर 1 - Sets
10) एखाद्या set चा दूसरा set हा subset आहे असे आपण केव्हा म्हणतो ?
11) Universal set कोणत्या set ला म्हटले जाते ?
12) Sets हे वेन आकृतीने कसे दाखवले जातात ?
13) एखाद्या set चा दूसरा set हा complement आहे असे आपण केव्हा म्हणतो ?
14) A ∪ B हा सेट कसा लिहिला जातो ?
15) A ∩ B हा सेट कसा लिहिला जातो ?
16) n(A ∪ B) = n(A) + n(B) - n(A ∩ B) या फॉर्मूल्याचा वापर करून उदाहरणे कसे सोड़वावी.
9 वी - महाराष्ट्र बोर्ड - गणित भाग 1 टेस्ट - चॅप्टर 1 - Sets
सूचना :
विद्यार्थ्यांनी आपले पूर्ण नाव लिहावे.
सर्व प्रश्न MCQ टाईप चे आहेत.
प्रत्येक प्रश्नाला 1 गुण आहे.
या टेस्ट साठी निगेटीव्ह मार्किंग सिस्टीम लावलेली नाहीये.
विद्यार्थ्यांनी प्रत्येक प्रश्नासाठी योग्य तो पर्याय निवडावा.
टेस्ट मध्ये विचारली गेलेली प्रश्न खालील प्रमाणे आहेत.
टेस्ट देण्यासाठी या पोस्ट च्या सर्वात शेवटी जावे आणि स्क्रॉल करून Student Name च्या खाली Your Answer वर क्लिक करून आपले नाव लिहावे.
या टेस्ट मध्ये विचारली गेलेली प्रश्न खालील प्रमाणे आहेत.
प्रश्न १: If a collection of objects is well-defined, then it is called a _______.
A) Group
B) Set
C) Sequence
D) Series
प्रश्न २: Which of the following collections is a well-defined set?
A) Happy people in the village
B) Brilliant students in a class
C) Days of a week
D) Easy examples in a textbook
प्रश्न ३: If 'a' is an element of set A, how is it represented symbolically?
A) a ∉ A
B) a = A
C) a ∈ A
D) A ⊂ a
प्रश्न ४: The method of writing a set by listing all its elements inside curly brackets is called _______.
A) Listing method / Roster form
B) Rule method / Set builder form
C) Venn diagram
D) Universal method
प्रश्न ५: Write the set of vowels in the English alphabet using the listing method.
A) {a, b, c, d, e}
B) {a, e, i, o, u}
C) {b, c, d, f, g}
D) {a, e, o, u}
प्रश्न ६: In the listing method, the order of writing elements is _______.
A) Strictly alphabetical
B) Strictly ascending
C) Not important
D) Strictly descending
प्रश्न ७: What is the Rule method representation of the set A = {2, 4, 6, 8, 10}?
A) A = {x | x is an odd number, x ≤ 10}
B) A = {x | x is an even natural number, x ≤ 10}
C) A = {x | x is a multiple of 4, x ≤ 10}
D) A = {x | x is a prime number, x ≤ 10}
प्रश्न ८: A set containing only one element is called a _______.
A) Empty set
B) Singleton set
C) Finite set
D) Infinite set
प्रश्न ९: If set B = {x | x is a natural number between 2 and 3}, then set B is a/an _______.
A) Singleton set
B) Infinite set
C) Empty set
D) Universal set
प्रश्न १०: Which symbol is used to represent an empty set?
A) Φ (phi) or {}
B) ∈
C) ⊂
D) U
प्रश्न ११: If a set contains a countable number of elements, it is called a _______.
A) Infinite set
B) Universal set
C) Finite set
D) Subset
प्रश्न १२: The set of all natural numbers (N) is an example of a/an _______.
A) Finite set
B) Empty set
C) Infinite set
D) Singleton set
प्रश्न १३: If two sets A and B contain exactly the same elements, they are called _______.
A) Subsets
B) Equal sets
C) Disjoint sets
D) Universal sets
प्रश्न १४: If A = {1, 3, 5} and B = {x | x is an odd number, 1 ≤ x ≤ 5}, then which statement is true?
A) A ≠ B
B) A = B
C) A ∈ B
D) B ∉ A
प्रश्न १५: John Venn was the first mathematician to use _______ representations for sets.
A) Tabular
B) Geometrical (Venn diagrams)
C) Algebraic
D) Numerical
प्रश्न १६: If every element of set A is also an element of set B, then A is a _______ of B.
A) Complement
B) Union
C) Subset
D) Universal set
प्रश्न १७: The symbolic representation for 'A is a subset of B' is _______.
A) A ∈ B
B) A ⊂ B
C) A ∪ B
D) A ∩ B
प्रश्न १८: Every set is a subset of _______.
A) An empty set
B) Itself
C) A singleton set
D) Disjoint set
प्रश्न १९: An empty set is a subset of _______.
A) No set
B) Only itself
C) Every set
D) Only the universal set
प्रश्न २०: A chosen non-empty set which is big enough to contain all the sets under consideration is called the _______.
A) Subset
B) Universal set
C) Complement set
D) Intersection set
प्रश्न २१: The universal set is usually represented by the letter _______.
A) A
B) N
C) U
D) C
प्रश्न २२: If U = {1, 2, 3, 4, 5} and A = {2, 4}, then find the complement of set A (A').
A) {1, 3, 5}
B) {2, 4}
C) {1, 2, 3, 4, 5}
D) {}
प्रश्न २३: The complement of a universal set (U') is always a/an _______.
A) Universal set
B) Finite set
C) Empty set
D) Singleton set
प्रश्न २४: The set of common elements of set A and set B is called the _______.
A) Union of sets
B) Intersection of sets
C) Subset
D) Complement of sets
प्रश्न २५: If A = {1, 2, 3} and B = {3, 4, 5}, then A ∩ B = _______.
A) {1, 2, 3, 4, 5}
B) {3}
C) {1, 2}
D) {4, 5}
प्रश्न २६: If two sets A and B have no elements in common, they are called _______.
A) Equal sets
B) Subsets
C) Disjoint sets
D) Universal sets
प्रश्न २७: The set formed by taking all elements of set A and set B together is called the _______.
A) Intersection of sets
B) Union of sets
C) Complement of sets
D) Disjoint sets
प्रश्न २८: If A = {a, b} and B = {c, d}, then A ∪ B = _______.
A) {}
B) {a, b}
C) {c, d}
D) {a, b, c, d}
प्रश्न २९: What is the correct formula connecting the number of elements in sets?
A) n(A ∪ B) = n(A) + n(B) + n(A ∩ B)
B) n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
C) n(A ∪ B) = n(A) - n(B) + n(A ∩ B)
D) n(A ∪ B) = n(A) × n(B)
प्रश्न ३०: If n(A) = 5, n(B) = 7, and n(A ∩ B) = 2, find n(A ∪ B).
A) 14
B) 12
C) 10
D) 9
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