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12 Jul 2016, 04:33
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
78% (01:16) correct
22%
(01:43)
wrong
based on 123
sessions
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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.
A. 61.
B. 63.
C. 65.
D. 67.
E. It depends how many people are there in the class.
12 Jul 2016, 05:14
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Bunuel
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.
let n=total students in class
total points for 1/3 class=69n/3=23n
total points for 2/3 class=60*2n/3=40n
total points for whole class=23n+40n=63n
63n total class points/n total students=63 grade point average for total class
total points for 1/3 class=69n/3=23n
total points for 2/3 class=60*2n/3=40n
total points for whole class=23n+40n=63n
63n total class points/n total students=63 grade point average for total class
