2 votes 2 votes Find the smallest number $y$ such that $y\times 162$ ($y$ multiplied by $162$) is a perfect cube $24$ $27$ $36$ $38$ Quantitative Aptitude nielit2017dec-scientistb general-aptitude quantitative-aptitude number-system numerical-computation + – admin asked Mar 30, 2020 • retagged Oct 23, 2020 by Krithiga2101 admin 1.2k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes (C) 36 162= 2* 9*9 36=2*2*9 Dileep kumar M 6 answered Dec 18, 2017 Dileep kumar M 6 comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Option c https://gateoverflow.in/118407/gate2017-1-ga-4 Rameez Raza answered Dec 18, 2017 Rameez Raza comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes 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. BlackViking answered May 26, 2020 BlackViking comment Share Follow See all 0 reply Please log in or register to add a comment.