Question: The least number, that must be added to 1720, so as to obtain a perfect cube, is
Options:
A) 7
B) 8
C) 11
D) 13
Show Answer
Answer:
Correct Answer: B
Solution:
- Given number $ =1720 $
To make it a perfect cube, first we find the nearest cube of given number
$ 11^{3}=11\times 11\times 11=1331 $
$ 12^{3}=12\times 12\times 12=1728 $
$ \therefore $ It is clear that $ 1720<{{(12)}^{3}} $
Required number $ =1728-1720=8 $
$ \therefore $ 8 must be added to 1720, to make it a perfect cube.