Sets
ICSE · Class 11 · Mathematics
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Which of the following is a well-defined set?
Which of the following is the correct roster form of the set {x : x is an even natural number less than 10}?
The set of all prime numbers less than 10 in roster form is:
If A = {1, 2, 3, 4, 5}, which of the following is true?
Sample Questions
The empty set is denoted by:
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ϕ
The empty set (null set/void set) is denoted by ϕ or {}. {0} is a singleton containing zero. {ϕ} is a set containing the empty set — it has one element.
Which of the following sets is a finite set?
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Set of all prime numbers less than 100
A finite set has a definite number of elements. Prime numbers less than 100 is a bounded, countable set (there are 25 primes less than 100). The others are infinite sets.
The cardinal number of the set A = {x : x is a letter in the word "MATHEMATICS"} is:
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8
In sets, elements are listed without repetition. Letters in MATHEMATICS: M, A, T, H, E, M, A, T, I, C, S → distinct letters: M, A, T, H, E, I, C, S → 8 distinct letters.
If A = {a, b, c} and B = {c, b, a}, then:
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A = B because they have the same elements
In sets, order of elements does not matter. {a, b, c} and {c, b, a} contain exactly the same elements, so A = B.
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