Question : Find 2 numbers such that their mean proportional is 25 and their third proportional is 25.

Option 1: 5 and 5

Option 2: 5 and 25

Option 3: 25 and 125

Option 4: 25 and 25

Question : Find the third proportional of 25 and 45.

Option 1: 85

Option 2: 65

Option 3: 81

Option 4: 76

Question : Find two numbers such that their mean proportion is 16 and the third proportion is 1024.

Option 1: 4 and 32

Option 2: 4 and 64

Option 3: 8 and 64

Option 4: 8 and 32

Question : What is the fourth proportional of $3 \sqrt{5}, 5 \sqrt{8}$, and $3 \sqrt{10}$?

Option 1: $10 \sqrt{5}$

Option 2: $40 \sqrt{2}$

Option 3: $30$

Option 4: $20$

Question : Each side of a cube is decreased by 25%. Find the ratio of the volumes of the original cube and the resulting cube.

Option 1: 8 : 1

Option 2: 27 : 64

Option 3: 64 : 1

Option 4: 64 : 27