Question 83

What is the smallest natural number that has to be subtracted from 4100 so as to get a number that is both a perfect square as well as a perfect cube?

Solution

The smallest number that is a perfect square as well as a perfect cube is $$2^6 = 64$$.
$$64^2$$ = 4096

So, 4100 - 4096 = 4 has to be subtracted from 4100 to get a number that is a perfect square as well as a perfect cube.


Create a FREE account and get:

  • Banking Quant Shortcuts PDF
  • Free Banking Study Material - (15000 Questions)
  • 135+ Banking previous papers with solutions PDF
  • 100+ Online Tests for Free

cracku

Boost your Prep!

Download App