Question : Choose the correct statement from the following.

Option 1: HCF is the least common multiple of the given numbers.

Option 2: HCF of two or more numbers is the highest number which perfectly divides all the given numbers.

Option 3: HCF is also called the least common divisor.

Option 4: In the prime factorisation method of HCF, the multiples of all the given numbers are listed.

Question : The HCF of two numbers is 17 and the other two factors of their LCM are 11 and 19. The smaller of the two numbers is:

Option 1: 209

Option 2: 187

Option 3: 323

Option 4: 306

Question : The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the sum of the cubes of the two given numbers.

Option 1: 576

Option 2: 250

Option 3: 640

Option 4: 512

Question : The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the product of the two given numbers?

Option 1: 160

Option 2: 320

Option 3: 240

Option 4: 200

Question : The HCF and LCM of the two numbers are 21 and 84, respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is:

Option 1: 12

Option 2: 108

Option 3: 48

Option 4: 84

Question : The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the positive difference between the cubes of the two given numbers.

Option 1: 448

Option 2: 576

Option 3: 480

Option 4: 512