A) 3 and 9
B) 3 and 27
C) 6 and 27
D) 6 and 81
Correct Answer: B
Solution :
Let the number be \[x\]and y. \[\therefore \]Mean proportion \[=\sqrt{xy}=9\Rightarrow xy=81\] ?(1) Third proportion \[=\frac{{{y}^{2}}}{x}=\frac{\frac{{{y}^{2}}}{81}}{y}=\frac{{{y}^{3}}}{81}\] \[\therefore \]\[\frac{{{y}^{3}}}{81}=243\] \[\Rightarrow \]\[{{y}^{3}}=243\times 81\] \[\Rightarrow \]\[y=\sqrt[3]{243\times 81}=27\] \[\therefore \] \[xy=81\] \[\Rightarrow \]\[x=\frac{81}{y}=\frac{81}{27}=3\]
You need to login to perform this action.
You will be redirected in
3 sec
