In a freshman high school class there are 125 total students. If 75 of the total students are enrolled in Geometry,

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In a freshman high school class there are 125 total students. If 75 of the total students are enrolled in Geometry, how many students are enrolled in Biology?

(1) 50 of the total students are enrolled in Geometry but not Biology.

(2) The number of those students who are enrolled in Geometry and Biology is the same as the number of those students enrolled in neither Geometry nor Biology.


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BTGmoderatorDC wrote:
Thu Jan 13, 2022 6:00 pm
In a freshman high school class there are 125 total students. If 75 of the total students are enrolled in Geometry, how many students are enrolled in Biology?

(1) 50 of the total students are enrolled in Geometry but not Biology.

(2) The number of those students who are enrolled in Geometry and Biology is the same as the number of those students enrolled in neither Geometry nor Biology.


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Source: Veritas Prep
1) Only can infer no of students who have taken Only Geometry (25). NOT SUFFICIENT

2) 125 = 75 + BIOLOGY - BOTH G AND B - NEITHER G AND B. As per statement, last 2 elements are out as they are equal. So, students enrolled in Biology = 125 - 75 = 50. Sufficient.