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Perfect cube
Lakshman Patel RJIT
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Nov 1, 2017
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Lakshman Patel RJIT
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Find the smallest number $y$ such that $y \times 162$ $(y$ multiplied by $162)$ is a perfect cube.
$A)24$ $B)27$ $C)32$ $D)36$
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Lakshman Patel RJIT
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Lakshman Patel RJIT
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https://gateoverflow.in/118407/gate2017-1-ga-4
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Thank you sir
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y * 162 = y * 3 * 3 * 3 * 3 * 2
So for perfect cube we need to add two 3s and two 2s.
so answer is = 3*3*2*2= 36.
Lakshman Patel RJIT
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Option D because 162 = 6 * 27 = there is cube of 27 which is 3 but not cube for 6 so two 6 must be multiplied hence 36
Rishi yadav
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Nov 5, 2017
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