Question : Three numbers are such that their sum is 50, the product is 3750 and the sum of their reciprocals is $\frac{31}{150}$. Find the sum of the squares of the three numbers.

Option 1: $2500$

Option 2: $1250$

Option 3: $950$

Option 4: $122$

Question : The ratio of three numbers is 2 : 3 : 5. If the sum of the three numbers is 275, then what is the largest among the three numbers?

Option 1: 142

Option 2: 82.5

Option 3: 137.5

Option 4: 152

Question : The ratio of three positive numbers is 2 : 3 : 5 and the sum of their squares is 608. The three numbers are:

Option 1: 2, 3 and 5

Option 2: 10, 15 and 25

Option 3: 8, 12 and 20

Option 4: 4, 6 and 10

Question : If the sum of three consecutive composite numbers is 36, then what is the product of the three numbers?

Option 1: 1460

Option 2: 1750

Option 3: 1680

Option 4: 1820

Question : If the sum of squares of two real numbers is 12 and the product of the numbers is 4, find the difference between the numbers.

Option 1: 4

Option 2: 8

Option 3: 1

Option 4: 2