Question

Find the least number which must be subtracted from each of the following number, so as to get a perfect square. Also find the square root of the perfect square so obtained.
$1989$

• A. $61$ and $41$
  
• B. $53$ and $44$
• C. $33$ and $46$
  
• D. $98$ and $39$
  

Answer 1

The correct option is B $53$ and $44$

Here $84\times 4$ $=336$ which is less than $389$
And $85\times 5$ $=425$ which is more than $389$
Hence, the required difference $=389-336=53$
$1989-53=1936$ is a perfect square

Thus the $\sqrt{1936}=44$

Thus the required numbers are: $53$ and $44$