The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
+1 vote
The expression $\left ( 11.98\times 11.98+11.98\times a+0.02\times 0.02 \right )$ will be a perfect square for $’a’$ equal to _________




in Numerical Ability by Veteran (113k points) | 35 views

1 Answer

+1 vote
Best answer
If we look at the equation it is $a^{2}+2ab+b^{2}$ where $2ab = 11.98*a$



To make it a perfect square $b=0.02$ and $a=11.98$

$2*11.98*0.02 = 11.98*a$

=>$ a = 0.04$

So the number now will be a perfect square of  $12$ ($\because(11.98+0.02)^{2}=12^{2}$)

$\therefore$  option c $0.04$ is the correct answer.
by Boss (17.5k points)
selected by

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
49,823 questions
54,821 answers
81,054 users