Question : What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?

Option 1: 2 : 15

Option 2: 5 : 16

Option 3: 3 : 16

Option 4: 4 : 15

Question : The third proportional to 12 and 18 is:

Option 1: 3

Option 2: 6

Option 3: 27

Option 4: 144

Question : If $(\cos q+\sin q)=\frac{31}{25}$, then what will be the value of $\cos^2 q$?

Option 1: $\frac{522}{625}$

Option 2: $\frac{512}{625}$

Option 3: $\frac{513}{625}$

Option 4: $\frac{576}{625}$

Question : If the third proportional of $3x^2$ and $4xy$ is 48, find the positive value of $y$.

Option 1: 3

Option 2: 5

Option 3: 2

Option 4: 4

Question : What is the third proportional number to 10 and 20?

Option 1: 30

Option 2: 25

Option 3: 50

Option 4: 40