| 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 |
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