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?
Practice Questions
1 question
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?
36
49
64
25
The number 25 is included as it is a square number (5^2) and less than 50.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution: The number 25 is included as it is a square number (5^2) and less than 50.
Steps: 5
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.
