In a scenario where a set is defined by the constraints of being both a square n

Practice Questions

Q1
In a scenario where a set is defined by the constraints of being both a square number and less than 50, which of the following is NOT a member of this set?
  1. 1
  2. 4
  3. 9
  4. 49

Questions & Step-by-Step Solutions

In a scenario where a set is defined by the constraints of being both a square number and less than 50, which of the following is NOT a member of this set?
  • Step 1: Understand what a square number is. A square number is a number that can be expressed as the product of an integer multiplied by itself (e.g., 1, 4, 9, 16, 25, 36, 49).
  • Step 2: List all square numbers that are less than 50. These are: 1, 4, 9, 16, 25, 36, 49.
  • Step 3: Identify the constraints given in the question. The number must be a square number and also less than 50.
  • Step 4: Check if 49 is less than 50. Since 49 is less than 50, it is included in the set.
  • Step 5: Consider the alternative constraint mentioned: 'less than or equal to 48'. Under this constraint, 49 would not be included in the set.
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