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# An entrance test consists of 20 questions. Each question after the fir

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Math Expert
Joined: 02 Sep 2009
Posts: 56268
An entrance test consists of 20 questions. Each question after the fir  [#permalink]

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25 Sep 2018, 05:15
00:00

Difficulty:

35% (medium)

Question Stats:

84% (01:48) correct 16% (01:59) wrong based on 26 sessions

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An entrance test consists of 20 questions. Each question after the first is worth 2 points more than the preceding question. If the total questions are worth a total of 400 points, how many points is the fourth question worth?

(A) 5
(B) 7
(C) 11
(D) 19
(E) 38

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Joined: 10 Jan 2013
Posts: 243
Location: India
Concentration: General Management, Strategy
GPA: 3.95
Re: An entrance test consists of 20 questions. Each question after the fir  [#permalink]

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25 Sep 2018, 07:54
Bunuel wrote:
An entrance test consists of 20 questions. Each question after the first is worth 2 points more than the preceding question. If the total questions are worth a total of 400 points, how many points is the fourth question worth?

(A) 5
(B) 7
(C) 11
(D) 19
(E) 38

Sol.
N=20
d= 2

Sum = (N/2) * [2a +(n-1)d] ---->sum of AP

a = 1 [ first term ]
second = 3
third = 5
fourth = 7
Re: An entrance test consists of 20 questions. Each question after the fir   [#permalink] 25 Sep 2018, 07:54
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