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In a hybrid set scenario, if set C = {x, y, z} and set D = {y, z, w}, which elem

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Question: In a hybrid set scenario, if set C = {x, y, z} and set D = {y, z, w}, which element is common to both sets? (2023)

Options:

  1. x
  2. y
  3. z
  4. w

Correct Answer: y

Exam Year: 2023

Solution:

The elements y and z are common to both sets C and D, but since the question asks for one, y is the first common element listed.

In a hybrid set scenario, if set C = {x, y, z} and set D = {y, z, w}, which elem

Practice Questions

Q1
In a hybrid set scenario, if set C = {x, y, z} and set D = {y, z, w}, which element is common to both sets? (2023)
  1. x
  2. y
  3. z
  4. w

Questions & Step-by-Step Solutions

In a hybrid set scenario, if set C = {x, y, z} and set D = {y, z, w}, which element is common to both sets? (2023)
  • Step 1: Identify the elements in set C, which are {x, y, z}.
  • Step 2: Identify the elements in set D, which are {y, z, w}.
  • Step 3: Compare the elements in both sets to find common ones.
  • Step 4: Notice that 'y' is in both set C and set D.
  • Step 5: Notice that 'z' is also in both set C and set D.
  • Step 6: Since the question asks for one common element, choose 'y' as it is the first common element listed.
  • Set Theory – Understanding the definition and properties of sets, including how to identify common elements (intersections) between them.
  • Element Identification – The ability to accurately identify and list elements from given sets.
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