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# How much minimum marks is required to pass the examination?

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Intern
Joined: 28 Feb 2017
Posts: 7
Location: India
Concentration: General Management, Operations
How much minimum marks is required to pass the examination?  [#permalink]

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28 Aug 2018, 08:35
00:00

Difficulty:

35% (medium)

Question Stats:

61% (01:35) correct 39% (02:50) wrong based on 36 sessions

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How much minimum marks is required to pass the examination?

I. Student A secured 38% in the examination and failed by 8 marks. Student B secured 42% marks in the same examination and got 12 more than the minimum pass marks.

II. Student A secured 35% of the total marks in the examination and failed by 23 marks. If he had secured 25 more marks his percentage of marks would have been 40%.

III. A student will be declared passed, if he secures 39.60% of the total marks.

(a) Any two of them
(b) Only I
(c) III and either I or II
(d) Either I or II
(e) None of these

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VP
Status: Learning stage
Joined: 01 Oct 2017
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Re: How much minimum marks is required to pass the examination?  [#permalink]

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28 Aug 2018, 10:00
alok019 wrote:
How much minimum marks is required to pass the examination?

I. Student A secured 38% in the examination and failed by 8 marks. Student B secured 42% marks in the same examination and got 12 more than the minimum pass marks.
II. Student A secured 35% of the total marks in the examination and failed by 23 marks. If he had secured 25 more marks his percentage of marks would have been 40%.
III. A student will be declared passed, if he secures 39.60% of the total marks.
(a) Any two of them
(b) Only I
(c) III and either I or II
(d) Either I or II
(e) None of these

Let's analyze each of the statements.
Let 'x' be the full marks .

I. Student A scored 38% of x or, 0.38x. He failed by 8 marks. So, minimum pass mark=0.38x+8------------(a)
Student B scored 42% of x or, 0.42x. He scored 12 more than the minimum pass mark. Or, 0.42x=minimum pass mark+12 Or, minimum pass mark=0.42x-12-------(b)
We can find out the value of x , subsequently the minimum pass mark by solving (a) and (b).
Since answer options don't require exact value of minimum pass mark, hence exact computation isn't required.

II. With the similar reasoning, minimum pass mark of student A=0.35x+23
If he had secured 25 more marks his percentage of marks would have been 40%. Implies that 0.35x+25=0.40x
We can find out the value of x , subsequently the minimum pass mark by solving the above equation.
III. Minimum pass mark=39.60% of x=39.60x , where value of x is unknown.
So, minimum pass mark can't be determined.

So either st I or st II will give us the minimum pass mark.

Ans. (D)

P.S:- Dear Moderators,I would request to place this question at its correct address i,e, PS forum.
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PKN

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Manager
Joined: 14 Jan 2017
Posts: 115
Location: India
Re: How much minimum marks is required to pass the examination?  [#permalink]

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02 Sep 2018, 10:05
1
alok019 wrote:
How much minimum marks is required to pass the examination?

I. Student A secured 38% in the examination and failed by 8 marks. Student B secured 42% marks in the same examination and got 12 more than the minimum pass marks.

II. Student A secured 35% of the total marks in the examination and failed by 23 marks. If he had secured 25 more marks his percentage of marks would have been 40%.

III. A student will be declared passed, if he secures 39.60% of the total marks.

(a) Any two of them
(b) Only I
(c) III and either I or II
(d) Either I or II
(e) None of these

What is the source of the question?
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: How much minimum marks is required to pass the examination?  [#permalink]

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02 Sep 2018, 10:21
How much minimum marks is required to pass the examination?

I. Student A secured 38% in the examination and failed by 8 marks. Student B secured 42% marks in the same examination and got 12 more than the minimum pass marks.
straight forward and logical approach.. the difference in %=difference in marks
So 42-38%=8+12...4%=20
Thus 100%=100*20/4=500....
Passing marks = 38*500/100+8=198.
Sufficient

II. Student A secured 35% of the total marks in the examination and failed by 23 marks. If he had secured 25 more marks his percentage of marks would have been 40%.
40-35%=25...5%=25
Thus 100%=25*100/5=500...
Passing marks=35*500/100+23=175+23=198
Sufficient

III. A student will be declared passed, if he secures 39.60% of the total marks.
Till we do not total marks we cannot find what is 39.60%
Insufficient

Both I and II on their own give answer

D

Not a typical gmat question
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Re: How much minimum marks is required to pass the examination?   [#permalink] 02 Sep 2018, 10:21
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