Question : Find the mean proportional between 27 and 300.

Option 1: 90

Option 2: 45

Option 3: 135

Option 4: 180

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 : Find the value of $\sin^2 25^\circ+\sin^2 65^\circ$:

Option 1: $-1$

Option 2: $\frac{1}{2}$

Option 3: $0$

Option 4: $1$

Question : If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.

Option 1: $2 \sqrt{6}$

Option 2: $\sqrt{14}$

Option 3: $2$

Option 4: $\sqrt{6}$

Question : The mean proportional of 6 and 54 is _______ more than 15.

Option 1: 3

Option 2: 6

Option 3: 4

Option 4: 5