3 votes 3 votes Find the smallest number $y$ such that $y \times 162$ $(y$ multiplied by $162)$ is a perfect cube. $A)24$ $B)27$ $C)32$ $D)36$ Quantitative Aptitude quantitative-aptitude factors + – Lakshman Bhaiya asked Nov 1, 2017 edited Nov 11, 2018 by Lakshman Bhaiya Lakshman Bhaiya 13.7k points 1.7k views answer comment Share See all 2 Comments See all 2 2 Comments reply Arjun 8.6k points commented Nov 2, 2017 reply Share https://gateoverflow.in/118407/gate2017-1-ga-4 1 votes 1 votes Lakshman Bhaiya 13.7k points commented Nov 2, 2017 reply Share Thank you sir 1 votes 1 votes Please log in or register to add a comment.
Best answer 1 votes 1 votes 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 Bhaiya answered Nov 14, 2017 Lakshman Bhaiya 13.7k points comment Share See all 0 reply Please log in or register to add a comment.
0 votes 0 votes 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 answered Nov 5, 2017 Rishi yadav 38 points comment Share See all 0 reply Please log in or register to add a comment.