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In a particular examination, the maximum marks that can be scored

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In a particular examination, the maximum marks that can be scored  [#permalink]

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New post 10 Mar 2018, 10:36
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Question Stats:

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In a particular examination, the maximum marks that can be scored is 250 and the pass mark is 50% of the maximum mark. Three persons- A, B and C - give the examination. B passes the exam by five times the number of marks by which A fails. C scores as many marks more than B as B does more than A. If C scores 72% marks in the examination, the marks scored by B is
A) 140
B) 150
C) 160
D) 170
E) 180

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In a particular examination, the maximum marks that can be scored  [#permalink]

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New post 10 Mar 2018, 11:20
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souvonik2k wrote:
In a particular examination, the maximum marks that can be scored is 250 and the pass mark is 50% of the maximum mark. Three persons- A, B and C - give the examination. B passes the exam by five times the number of marks by which A fails. C scores as many marks more than B as B does more than A. If C scores 72% marks in the examination, the marks scored by B is
A) 140
B) 150
C) 160
D) 170
E) 180



Highest score possible - 250
Pass mark - 50% - 125

C's score : 72% - \(0.72*250 = 180\)

Given: C - B = B - A

If A fails by x, B get 5x more than pass score!

So A's score is 125 - x and B's score is 125 + 5x

\(180 - (125 + 5x) = 125 + 5x - (125 - x)\) -> \(55 - 5x = 6x\) -> \(11x = 55\) -> \(x = 5\)

Therefore, B's score is \(125 + 5x = 125 + 25 = 150\)(Option B)
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Re: In a particular examination, the maximum marks that can be scored  [#permalink]

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New post 11 Mar 2018, 23:34
souvonik2k wrote:
In a particular examination, the maximum marks that can be scored is 250 and the pass mark is 50% of the maximum mark. Three persons- A, B and C - give the examination. B passes the exam by five times the number of marks by which A fails. C scores as many marks more than B as B does more than A. If C scores 72% marks in the examination, the marks scored by B is
A) 140
B) 150
C) 160
D) 170
E) 180

You can also do this question by plugin as from that method you can find answer really fast as following:-
MAX marks-250
MIN passing=250*50/100= 125
Marks of c= 250*72/100=180
now lets take B marks be C as 160
now from yellow part we can say
180-160=160-A
20=160-A
A=140 which means that A passes the exam but question says that A fails so option C,D AND E eliminated as wee need B value less then only A marks reduce.
Now B=150
then 180-150=150-A
30=150-A
A=120(A failed in exam lets go for blue statement to test we choose option B correct)
B-125=5(125-A)
150-125=5(125-120)
25=25 HENCE OPTION B IS OUR ANSWER

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Re: In a particular examination, the maximum marks that can be scored   [#permalink] 11 Mar 2018, 23:34
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In a particular examination, the maximum marks that can be scored

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