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

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Question: 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 numbers would be included?

Options:

  1. 36
  2. 49
  3. 64
  4. 25

Correct Answer: 25

Solution: 

The number 25 is included as it is a square number (5^2) and less than 50.

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 numbers would be included?
  1. 36
  2. 49
  3. 64
  4. 25

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 numbers would be included?
  • 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., 1^2 = 1, 2^2 = 4, 3^2 = 9, etc.).
  • Step 2: List the square numbers that are less than 50. These are: 1 (1^2), 4 (2^2), 9 (3^2), 16 (4^2), 25 (5^2), 36 (6^2), 49 (7^2).
  • Step 3: Check if the number 25 is in the list of square numbers. Yes, 25 is included because it is 5 multiplied by 5.
  • Step 4: Confirm that 25 is also less than 50. Yes, 25 is less than 50.
  • Step 5: Conclude that 25 meets both criteria: it is a square number and it is less than 50.
  • Square Numbers – Square numbers are integers that are the square of an integer, such as 1, 4, 9, 16, 25, 36, 49, etc.
  • Inequalities – Understanding and applying constraints such as 'less than 50' to determine valid numbers.
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