Question : The square of the difference between two given natural numbers is 324, while the product of these two given numbers is 144. Find the positive difference between the squares of these two given numbers.

Option 1: 630

Option 2: 540

Option 3: 450

Option 4: 360

Question : The sum of the squares of three positive numbers is 323. If the sum of the squares of two numbers is twice the third, their product is:

Option 1: 255

Option 2: 260

Option 3: 275

Option 4: 270

Question : The ratio of two positive numbers is 3 : 4. The sum of their squares is 400. What is the sum of the numbers?

Option 1: 28

Option 2: 22

Option 3: 24

Option 4: 26

Question : The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third number, the sum of the squares of the numbers is:

Option 1: 120

Option 2: 126

Option 3: 132

Option 4: 138

Question : The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the sum of the cubes of the two given numbers?

Option 1: 9728

Option 2: 9684

Option 3: 8000

Option 4: 9600