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In a constraint-based set, if the constraint is 'x must be a square number', whi

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Question: In a constraint-based set, if the constraint is \'x must be a square number\', which of the following numbers would be included?

Options:

  1. 1
  2. 2
  3. 3
  4. 5

Correct Answer: 1

Solution:

The number 1 is a square number (1^2), while the others are not, making it the only correct option.

In a constraint-based set, if the constraint is 'x must be a square number', whi

Practice Questions

Q1
In a constraint-based set, if the constraint is 'x must be a square number', which of the following numbers would be included?
  1. 1
  2. 2
  3. 3
  4. 5

Questions & Step-by-Step Solutions

In a constraint-based set, if the constraint is 'x must be a square number', 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.
  • Step 2: Identify the square numbers starting from 0. The first few square numbers are 0 (0^2), 1 (1^2), 4 (2^2), 9 (3^2), 16 (4^2), and so on.
  • Step 3: Look at the numbers given in the question. Check each number to see if it can be expressed as a square of an integer.
  • Step 4: Determine if the number 1 is a square number. Since 1 = 1^2, it is a square number.
  • Step 5: Check the other numbers provided in the question. If they cannot be expressed as the square of an integer, they are not included.
  • Step 6: Conclude that the only number that meets the constraint 'x must be a square number' is 1.
  • Square Numbers – A square number is an integer that is the square of an integer, meaning it can be expressed as n^2 where n is a whole number.
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