0 votes 0 votes The number of positive integers $n$ for which $n^3 +(n+1)^3 +(n+2)^3 = (n+3)^3$ is $0$ $1$ $2$ $3$ Quantitative Aptitude isi2016-mmamma quantitative-aptitude number-system + – go_editor asked Sep 13, 2018 edited Nov 19, 2019 by Lakshman Bhaiya go_editor 266 views answer comment Share Follow See 1 comment See all 1 1 comment reply Dharmendra Lodhi commented Sep 13, 2018 reply Follow Share n3 + (n+1)3 + (n+2)3 = (n+3)3 n3 +( n3 + 3n2 +3n +1)+(n3 + 6n2 +12n +8) = n3 + 9n2 +27n +27 n3 - 6n -9=0 n(n2-6)=9 only n=3 satisfy above equation Ans : B 1 votes 1 votes Please log in or register to add a comment.