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Sample Questions on Sets for GMAT Video Lecture | Quantitative for GMAT
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FAQs on Sample Questions on Sets for GMAT Video Lecture - Quantitative for GMAT
| 1. What are sets in mathematics? |  |
Ans. Sets in mathematics are collections of distinct objects, called elements, that are grouped together based on certain criteria. These objects can be numbers, letters, or any other defined entities. Sets are often represented using curly braces and the elements are listed within the braces, separated by commas.
| 2. How are sets different from numbers or lists? | |
Ans. Sets are different from numbers or lists because they focus on the uniqueness of elements rather than their order or repetition. In sets, each element can only appear once, whereas in a list or sequence, elements can be repeated and their order matters.
| 3. What is the cardinality of a set? | |
Ans. The cardinality of a set refers to the number of elements it contains. For example, if a set has three elements, its cardinality is three. The cardinality of a set can be finite, infinite, or even empty (having no elements).
| 4. How are sets represented in set-builder notation? | |
Ans. Set-builder notation is a way to represent sets in mathematics. It consists of a variable, a colon, and a condition or rule that describes the elements of the set. For example, {x | x is an even number} represents the set of all even numbers.
| 5. Can sets contain other sets as elements? | |
Ans. Yes, sets can contain other sets as elements. In set theory, a set can contain any object as an element, including other sets. This concept is known as a set of sets or a higher-order set. It allows for more complex mathematical structures and the study of set relations.
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Dec 18, 2024 Last updated |
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