As all the values are in percents. And percent means out of 100.
So, it must suggest that all types of law are practiced as 100%, meaning all 55,000 lawyers are participating.
Now, as it's given in Quantity B that 21% of all lawyers participates in Corporate Law.
IMPORTANT: YOU DON'T NEED TO WASTE YOUR TIME IN CALCULATING 21% OF 55,000. AS IT'S QUANTITATIVE COMPARISON TYPE OF GRE QUESTION, SO JUST THINK SMARTLY.Now, we need to see whether all types of litigation {i.e \(x^2\)% and (x+1)%} greater than 21%, equals to 21% or less than 21%. For that purpose, we need to find value of x.
As we know, sum of all types of laws equals to 100% i.e:
17% + 21% + 15% + 22% + \(x^2\)% + (x+1)% + x% = 100%
75 + \(x^2\) + 2x + 1 = 100
\(x^2\) + 2x - 24 = 0
\(x^2\) + 6x - 4x - 24 = 0
x(x+6) -4(x+6) = 0
(x-4)(x+6) = 0
Either x = 4 or x = -6
As x cannot be negative, because the proportion of a law cannot be in negative. Thus,
x = 4
So, all litigation = Criminal Litigation + Civil Litigation
= \(x^2\) + (x+1)
= \(4^2\) + (4+1)
= 16 + 5
= 21%
As Quantity A also comes out to be 21%, so
Choice C is correct.
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