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12 Jul 2016, 04:19
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B
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82% (01:08) correct
18%
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The average length of 6 snakes is 80 cm. If the average length of one third of the snakes is 70 cm, what is the average of the other snakes?
A. 75.
B. 85.
C. 90.
D. 94.
E. 100.
A. 75.
B. 85.
C. 90.
D. 94.
E. 100.
12 Jul 2016, 04:59
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Edit:
Bunuel
The average length of 6 snakes is 80 cm. If the average length of one third of the snakes is 70 cm, what is the average of the other snakes?
A. 75.
B. 85.
C. 90.
D. 94.
E. 100.
A. 75.
B. 85.
C. 90.
D. 94.
E. 100.
Given ( X1 + X2 ... + X6 ) / 6 = 80
( X1 + X2 ... + X6 ) = 480 --> Eq 1.
Now given avg length of one third snakes is 70. That means out 6 / 3 = 2 snakes.
let the avg length of two snakes be ( X1 + X2 ) / 2 = 70 .
( X1 + X2 ) = 140. --> eq 2.
Now we are asked to find the average of the remaining i.e. ( X3 + X4 + X5 + X6 )
Substitute eq 2 in eq 1 then we get
140 + X3 + X4 + X5 + X6 = 480
=> X3 + X4 + X5 + X6 = 340
Now divide 340 by 4 we get 85.
=> ( X3 + X4 + X5 + X6) / 4 = 85 = avg length of remaining snakes.
IMO correct option is B.
OA please...will correct if I missed anything
nipunjain14
Joined: 07 May 2015
Last visit: 12 Aug 2017
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Schools: ISB '19 Kellogg '20 Yale '20 HEC Dec"18
GMAT 1: 660 Q48 V31
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14 Jul 2016, 19:14
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S1 = sum of lengths of 6 snakes
S2 = sum of lengths of 1/3rd snakes i.e 2 snakes
S3 = s1- s2 = 4 snakes
Given,
S1/6 = 80
S1 = 480
S2/2 = 70
S2 = 140
Thus , S3 = 480 - 140 = 340
Average length of 4 snake = 340/4 = 85
Ans: b
S2 = sum of lengths of 1/3rd snakes i.e 2 snakes
S3 = s1- s2 = 4 snakes
Given,
S1/6 = 80
S1 = 480
S2/2 = 70
S2 = 140
Thus , S3 = 480 - 140 = 340
Average length of 4 snake = 340/4 = 85
Ans: b
