16 votes 16 votes Find the smallest number $y$ such that $y \times 162$ is a perfect cube. $24$ $27$ $32$ $36$ Quantitative Aptitude gatecse-2017-set1 general-aptitude quantitative-aptitude numerical-computation + – Arjun asked Feb 14, 2017 • edited May 29, 2019 by Pooja Khatri Arjun 5.1k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 33 votes 33 votes $y \times 162 = y \times 3^4 \times 2$ So, for perfect cube we need to add two $3s$ and two $2s.$ Answer is: $3^2 \times 2^2= 36.$ Correct Answer: $D$ KAUSHAL DUBEY answered Feb 14, 2017 • edited Apr 27, 2019 by Naveen Kumar 3 KAUSHAL DUBEY comment Share Follow See all 0 reply Please log in or register to add a comment.
8 votes 8 votes 162 = 2 * 33 * 3 hence we can see the value which have two 2's and 2 3's wil be minimum value = 4 * 9 = 36 so option 4 Rishi yadav answered Jan 24, 2018 Rishi yadav comment Share Follow See all 0 reply Please log in or register to add a comment.
4 votes 4 votes Ans. 36 Factorization of 162 = 2*9*9 So, multiply by 2*2*9 to make perfect cube Raj Kumar 7 answered Jan 23, 2018 Raj Kumar 7 comment Share Follow See all 0 reply Please log in or register to add a comment.
3 votes 3 votes very easy just putting the options as the value of Y we get 36 so D is the correct answer i guess Aboveallplayer answered Feb 14, 2017 Aboveallplayer comment Share Follow See 1 comment See all 1 1 comment reply Raj Kumar 7 commented Dec 24, 2017 reply Follow Share putting option is time consuming , just factorize everything is clear. 2 votes 2 votes Please log in or register to add a comment.