Bunuel wrote:

The grade point average of one third of the classroom is 69; the grade point average of the rest is 60. What is the grade point average of the whole class?

A. 61.

B. 63.

C. 65.

D. 67.

E. It depends how many people are there in the class.

Let the number of students in class A be = X1 + X2 + ...... + A1 ( where A1 = remaining students )

Now the remaining avg of the students be A1 / T = 60

A1 = 60T ( we are not sure on the number of students , assuming it as T ).

A = X1 + X2 + ...... + A1 ( First set of students + remaining students).

One third of A students avg is 60.

A / 3 = 69

=> A = 207.

Now X1 + X2 + ...... + A1 = 207.

X1 + X2 + ...... = 207 - 60T.

We are not sure about the number of students in the remaining class + whole class and without that we can't solve this.

IMO E is correct option.

OA please...will correct if I missed anything.