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23 students appeared for the Geography paper. What is the sum of marks

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23 students appeared for the Geography paper. What is the sum of marks  [#permalink]

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New post 21 Nov 2019, 03:28
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (01:30) correct 44% (01:31) wrong based on 24 sessions

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23 students appeared for the Geography paper. What is the sum of marks obtained by them?

(1) The average mark obtained by the students equals the median mark obtained by the students

(2) The top 12 students have an average of 84 marks and the bottom 12 students have an average of 62 marks


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23 students appeared for the Geography paper. What is the sum of marks  [#permalink]

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New post 21 Nov 2019, 04:38
Need to find:
\(S_1\) + ... + \(S_2_3\) = ?
Assuming \(S_1\)... \(S_2_3\) to be in ascending order.

Statement 1:
\(S_1\) + ... + \(S_2_3\) = \(23S_1_2\) ->(1)
Not sufficient

Statement 2:
\(S_1\) + ... + \(S_1_2\) = 744 -> (2)
\(S_2_3\) + ... + \(S_1_2\) = 1008 ->(3)

Adding (2) and (3)
\(S_1\) + .. + 2\(S_1_2\) .. + \(S_2_3\) = 1752
Not sufficient

From (1)
\((24)S_1_2\) = 1752
\(S_1_2\) = 73
Therefore, \(S_1\) + ... + \(S_2_3\) = 1679

Ans: C
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Re: 23 students appeared for the Geography paper. What is the sum of marks  [#permalink]

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New post 22 Nov 2019, 07:26
Bunuel wrote:
23 students appeared for the Geography paper. What is the sum of marks obtained by them?

(1) The average mark obtained by the students equals the median mark obtained by the students

(2) The top 12 students have an average of 84 marks and the bottom 12 students have an average of 62 marks


average=sum/n

(1) The average mark obtained by the students equals the median mark obtained by the students insufic

average=median; median = 12th highest mark

(2) The top 12 students have an average of 84 marks and the bottom 12 students have an average of 62 marks insufic

average of marks from 1 to 12 = 62; sum without median = 12(62)-m
average of marks from 12 to 23 = 84; sum without median = 12(84)-m

(1&2) sufic

average=sum/n
m=[12(62)-m+12(84)-m+m]/23
23m=12(62+84)-m
24m=12(146)
m=12(146)/24=146/2=73
sum=average•n=73•23=1679

Ans (C)
GMAT Club Bot
Re: 23 students appeared for the Geography paper. What is the sum of marks   [#permalink] 22 Nov 2019, 07:26
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23 students appeared for the Geography paper. What is the sum of marks

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