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01 Mar 2018, 00:39
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:36) correct
24%
(01:42)
wrong
based on 69
sessions
History
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30 students had an average of X, while 20 students had an average of 80. What is the average for the entire group?
(A) (X + 80)/50
(B) (X + 80)/2
(C) 50/(X + 80)
(D) 3X/5 + 32
(E) (30X + 80)/50
(A) (X + 80)/50
(B) (X + 80)/2
(C) 50/(X + 80)
(D) 3X/5 + 32
(E) (30X + 80)/50
01 Mar 2018, 00:52
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Bunuel
Instead of calculating, we'll pick an easy number for X.
This is an Alternative appraoch.
Say X = 80.
Then all students had an average of 80 so the total average must also be 80.
(A) is not 80.
(B) is 80. Maybe. Let's check the others.
(C) is not 80.
(D) is 240/5 + 32 = 48 + 32 = 80.
(E) is (3*80+8)/5 = 248/5 which is not 80.
So our answer is (B) or (D).
Let's now try X = 0. Then the average is (20*80)/50 = 160/5 = 32
(B) is 40. No!
(D) is 0 + 32 = 32 and is our answer.
(D) is our answer.
01 Mar 2018, 03:39
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Bunuel
we are looking for the average of the entire group.
first of all i want to dig up a issue that our total student is 30+20=50
now , total no. of 30 students is 30x
total no. of 20 students is 20*80=1600
average of 50 students = 30x+1600/50
= 30x/50+1600/50
=3x/5+32
so, option D is our correct answer. hope it helps u.
