1. Which of these is the sum of the cubes of two consecutive integers?
A 4
B 9
C 16
D 25
E 36
1. B The positive sums of cubes less than the largest option, 36 , are $0^{3}+1^{3}=1$; $1^{3}+2^{3}=1+8=9$ and $2^{3}+3^{3}=8+27=35$. Hence the correct answer is 9 .