The least possible value of A for which \[90\times A\] is a perfect cube, is |
A) 200
B) 300
C) 500
D) 600
Correct Answer: B
Solution :
Given number \[=90\times A\] |
On factorising \[=90\times A,\] we have |
\[3\times 3\times 2\times 5\times A={{3}^{2}}\times 2\times 5\times A\] |
The least value of A for which the given number is a perfect cube \[=3\times {{2}^{2}}\times {{5}^{2}}\] |
\[=3\times 4\times 25=300\] |
\[\therefore \] Least possible value of A = 300 |
You need to login to perform this action.
You will be redirected in
3 sec