On a given day, 50 students in a certain class took a math test. Some of the students took the test on test paper A, and the remaining of the 50 students took the test on test paper B. What is the average score on the test for the 50 students?
(1) The average score for the students who take the test A was 75.
(2) The average score for the students who take the test В was 77.
Question Stem AnalysisTotal students took a math test = 50
No. of students took maths test on paper A = a
No. of students took maths test on paper B = b
We need to find the average score on the test for 50 students =(a*average score who take test A) + (b*average score who take test B)/a+b
Statement A InsufficientWithout much information about the no. of students who take the test on papers A & B the average score who take the test on paper is not sufficient.
Statement B InsufficientDoesn't provide much information about the no. of students who take tests on papers A & B. Not Sufficient.
If we combine both statements we get the average score on the test for 50 students = (a*75)+(b*77)/50
Insufficient
Hence, Option E