GMAT Math - Word problem; Geometry
Question
A circle is divided into
four sections. If 3 sections constitute 1/4, 2/5, and 3/20
of its total area, what is the fractional value of the area of the 4th section?
a) 1/2
b) 1/3
c)1/4
d)1/5
e)1/6
Solution
For this one, fight the urge to draw out the circle. This
isn't really a geometry question, despite the fact that it mentions a circle.
It's really just a fraction question.
Add the 3 known sections of the circle's area. To do so, find the lowest common demonimator and add the fractions. 1/4 = 5/20, 2/5 = 8/20 and 3/20 The total fractional value of the 3 sections is 16/20. Therefore, the area of the 4th section must be 1 - 16/20 = 1/5.
You could also backsolve if this one's confusing. Look for the choice that, when added to the three given fractions, equals 1.
Add the 3 known sections of the circle's area. To do so, find the lowest common demonimator and add the fractions. 1/4 = 5/20, 2/5 = 8/20 and 3/20 The total fractional value of the 3 sections is 16/20. Therefore, the area of the 4th section must be 1 - 16/20 = 1/5.
You could also backsolve if this one's confusing. Look for the choice that, when added to the three given fractions, equals 1.
Answer is D
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