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Find the smallest number $y$ such that $y\times 162$ ($y$ multiplied by $162$) is a perfect cube

  1. $24$
  2. $27$
  3. $36$
  4. $38$
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(C) 36 

162= 2* 9*9

36=2*2*9

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For y * 162 to be perfect cube, each of its factor should have frequency 3.
factorization of 162 = 9 * 9 * 2. Therefore, for y to be smallest it should have one 9 and two 2's.

=> y = 2 * 2 * 9 = 36.
Answer:

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