In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
A. 144
B. 119
C. 113
D. 88
E. 31

Question

In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
A. 144
B. 119
C. 113
D. 88
E. 31

Nitish Sinha · Answer

Total students = 232Geometry = 144, Biology = 119Maximum both = min(144, 119) = 119Minimum both = (144 + 119) − 232 = 31So, max - min = 119 − 31 = 88Answer: D. 88

	Nitish Sinha
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Top Contributors

Rakesh

1 month, 4 weeks ago

In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
A. 144
B. 119
C. 113
D. 88
E. 31

Top Contributors

Rakesh

1 month, 4 weeks ago

In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?A. 144B. 119C. 113D. 88E. 31

In a graduating class of 232 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
A. 144
B. 119
C. 113
D. 88
E. 31