Which of the following is a well-defined set in the technical sense used in NCERT Class XI Mathematics?
AThe collection of ten most talented writers of India
BThe collection of all natural numbers less than 100
CA team of eleven best cricket batsmen of the world
DA collection of most dangerous animals of the world
Answer & Solution
Correct answer: B. The collection of all natural numbers less than 100
A set must be a well-defined collection — membership must be objectively decidable. 'Most talented', 'best', and 'most dangerous' are subjective and so do not form sets. Natural numbers less than 100 is unambiguous.
Related questions
If A = {x : x is a letter in the word FOLLOW} and B = {y : y is a letter in the word WOLF}Set A is defined as {x : x is an integer, x² ≤ 4}. Which is the correct roster of A?Which of the following statements is INCORRECT?Let A = {n : n ∈ ℤ and n² ≤ 4} and B = {x : x ∈ ℝ and x² − 3x + 2 = 0}. ThenWhich of the following correctly distinguishes set X (letters of 'ALLOY') and set B (letteConsider C = {x : x − 5 = 0} and E = {x : x is an integral positive root of x² − 2x − 15 =The number n(S) of distinct elements of the set S formed by the letters of the word 'TRIGOIf A and B are two sets such that every element of A is in B and every element of B is in