Question : The difference between 24 and the mean proportional of 7 and 63 is:

Option 1: 3

Option 2: 2

Option 3: 5

Option 4: 4

Question : When P is subtracted from each of the numbers 8, 6, 2 and 9, the numbers so obtained in this order are in proportion. What is the mean proportional between (3P - 6) and (9P - 4)?

Option 1: 26

Option 2: 28

Option 3: 29

Option 4: 24

Question : If $9 a+9 b+9 c=81$ and $4 a b+4 b c+4 c a=160$, then what is the value of $6 a^2+6 b^2+6 c^2$?

Option 1: 1

Option 2: 3

Option 3: 4

Option 4: 6

Question : What is the mean proportional of 8.41 and 16.81?

Option 1: 13.69

Option 2: 9.88

Option 3: 11.89

Option 4: 12.79

Question : If $\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right)^2=9$, then what is the value of $\mathrm{k}^3+\frac{1}{\mathrm{k}^3} ?$

Option 1: 27

Option 2: 18

Option 3: 15

Option 4: 21