CBSE Class 11 (Science) Sets — practice questions
64 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Science) Sets in the app →In mathematics, a SET is defined as:Which symbol denotes 'belongs to' / 'is an element of' in set theory?The set of all letters in the word 'SCHOOL' in roster form is:The set A = {x : x is a positive integer and x² < 40} in roster form is:Which of the following is an EMPTY set?Let A = {x : x is a natural number which divides 42}. Set-builder form A in roster form is:Set A = {x : x = n/(n+1), where n is a natural number and 1 ≤ n ≤ 6} in roster form is:Which set is FINITE?For the equation x² + x − 2 = 0, the solution set in roster form is:Set X = letters in 'ALLOY'; set B = letters in 'LOYAL'. Compare:Let A = {n ∈ ℤ : n² ≤ 4} and B = {x ∈ ℝ : x² − 3x + 2 = 0}. Are A and B equal?Which statement about the EMPTY SET ∅ is INCORRECT?Which collection is NOT a well-defined set?A = {1, 3, 5} and B = {x : x is an odd natural number less than 6}. What is the relationship?For A = {1, 2, 3}, identify which is a PROPER subset of A.The collection of the five most renowned mathematicians of the world is:Is the river Nile a member of the set of rivers of India?The symbol Z stands for the set of all:You write the even positive integers below 7 as {2, 4, 6}. This way of writing is the:The set of odd natural numbers is written {1, 3, 5, ...}. The dots mean the list:Writing the letters of SCHOOL as a set, the letter O is listed:{x : x is a vowel in the English alphabet} describes a set by a common property. This is the:Students studying in both Class X and Class XI at the same time form a set that is:Even prime numbers greater than 2 form the empty set because:The set of days of the week is:Why can't the set of real numbers be written in roster form?A = {1, 2, 3} and B = {2, 2, 1, 3, 3}. The two sets are:Every student in your class is also a student of your school. The class set is a ___ of the school set.Is every set a subset of itself?The empty set is a subset of:A set with exactly one element is called a:The open interval (a, b) leaves out:How many subsets does {1, 2} have?The collection of all subsets of A is called the:In a Venn diagram the universal set is usually drawn as a:A = {2, 4, 6, 8} and B = {6, 8, 10, 12}. In A union B the elements 6 and 8 appear:U = {1, 2, ..., 10} and A = {1, 3, 5, 7, 9}. The complement of A is:Who is regarded as the originator of the modern theory of sets?How many elements does the set of all natural-number divisors of 42 have?How many elements does {x : x is a positive integer and x^2 < 40} have?Which is the set-builder form of {1, 4, 9, 16, 25, ...}?What is the largest element of {x : x is a natural number and 3 < x < 10}?Which symbol denotes the empty set?The set {x : x^2 - 2 = 0 and x is rational} isIs A = {n in Z : n^2 <= 4} equal to B = {1, 2}?If every element of A is in B and every element of B is in A, thenLet A = {1}, B = {{1}, 2}, C = {{1}, 2, 3}. ThenWhich chain of inclusions among number sets is correct?The set of all real numbers that are not rational is called the set ofThe set {x : a <= x < b} is written as the intervalWhat is the length of the interval (-5, 7]?Venn diagrams are named after which English logician?Hockey: Ram, Geeta, Akbar. Football: Geeta, David, Ashok. How many play at least one?If B is a subset of A, then A ∪ B equalsFind the intersection of {2, 4, 6, 8} and {6, 8, 10, 12}.If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8}, find B - A.If V = {a, e, i, o, u} and B = {a, i, k, u}, find V - B.The sets A - B, A ∩ B and B - A are alwaysU is all students of a mixed class and A is all its girls. What is A'?For any subset A of U, the complement of A' isBy De Morgan's law, (A ∪ B)' is equal toWithin a universal set U, the complement of the empty set isIn which year did Bertrand Russell show that a set of all sets leads to a contradiction?Who published the first axiomatisation of set theory in 1908?