model 7 marks scored in examinations Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on percentage topic of quantitative aptitude
(a) 500
(b) 480
(c) 580
(d) 400
The correct answers to the above question in:
Answer: (a)
Let the maximum marks in the examination = x.
According to the question,
${40x}/100 - {30x}/100 = 50$
${10x}/100 = 50$
$x = {50 × 100}/10 = 500$
Using Rule 22,
m = 30%, n = 40%, p = 25 and q = 25
Maximum marks = $100/{(n - m)} × (p + q)$
= $100/{(40 - 30)} × (25 + 25) = 500$
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Read more marks and examinations Based Quantitative Aptitude Questions and Answers
Question : 1
In an examination, a student had to obtain 33% of the maximum marks to pass. He got 125 marks and failed by 40 marks. The maximum marks were
a) 800
b) 600
c) 1000
d) 500
Answer »Answer: (d)
Let the maximum marks be x.
${x × 33}/100 = 125 + 40 = 165$
x = ${165 × 100}/33 =500$
Using Rule 24,
a = 33%, b = 125, c = 40
Maximum marks = ${(b + c)}/a × 100$
= ${(125 + 40)}/33 × 100$
= ${165 × 100}/35 = 500$
Question : 2
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are :
a) 41, 32
b) 43, 34
c) 39, 30
d) 42, 33
Answer »Answer: (d)
Let the marks obtained by first student be x.
Marks obtained by second student = x + 9
Sum of their marks = 2x + 9
As given, x + 9 = 56% of (2x + 9)
x + 9 = $56/100 × (2x + 9)$
$x + 9 = 14/25 × (2x + 9)$
25x + 225 = 28x + 126
3x = 225 – 126 ⇒ $x = 99/3 = 33$
Marks obtained are 42 and 33.
Question : 3
In an examination in which full marks were 500, A got 10% less than B. B got 25% more than C. C got 20% less than D. If A got 360 marks, what percentage of full marks was obtained by D ?
a) 50%
b) 80%
c) 60%
d) 90%
Answer »Answer: (b)
A = 360;
B = ${360 × 100}/90 = 400$
C = ${400 × 100}/125 = 320$
D = ${320 × 100}/80 = 400$
Required percentage = $400/500 ×100 = $80%
Question : 4
In an examination, 52% students failed in Hindi and 42% in English. If 17% failed in both the subjects, what percentage of students passed in both the subjects ?
a) 23%
b) 33%
c) 18%
d) 38%
Answer »Answer: (a)
Let the total number of students = 100
Number of students who failed in Hindi or English or both
= 52 + 42 – 17 = 77
Number of students who passed in both subjects
= 100 – 77 = 23%
Required percentage = 23
Using Rule 23,
a = 52%, b = 42%, c = 17%
Passed candidates = 100 – (52 + 42 – 17)
= 100 – (94 – 17) = 100 – 77 = 23%
Question : 5
In an examination, a student who gets 20% of the maximum marks fails by 5 marks. Another student who scores 30% of the maximum marks gets 20 marks more than the pass marks. The necessary percentage required for passing is :
a) 22%
b) 23%
c) 20%
d) 32%
Answer »Answer: (a)
Let the maximum marks be x.
According to question,
20% of x + 5 = 30% of x –20
(30 –20)% of x = 25
x = ${25 × 100}/10 = 250$
Passing marks = 20% of 250 + 5 = 55
% Passing marks = $55/250 × 100 = 22%$
Using Rule 22,
Here, m = 30%, n = 20%, p = 5 and q = 20
Maximum marks = $100/\text"(n - m)" × (p + q)$
= $100/{(30 - 20)} × (5 + 20)$
= ${100 × 25}/10 = 250$
Passing marks = 20% of 250 + 5 = 55
% of passing marks = $55/250 × 100$ = 22%
Question : 6
In an examination 70% of the candidates passed in English. 80% passed in Mathematics. 10% failed in both the subjects. If 144 candidates passed in both, the total number of candidates were :
a) 240
b) 200
c) 375
d) 125
Answer »Answer: (a)
Let total number of candidates = 100
70 candidates passed in English and 30 failed in it.
80 candidates passed in Maths and 20 failed in it.
10 candidates failed in English and Maths both.
Out of 30 failed in English, 10 failed in Maths also.
30 – 10 = 20 failed in English alone.
Similarly, 20 – 10 = 10 failed in Maths alone.
Total number of failures = 20 + 10 + 10 = 40
100 – 40 = 60 candidates passed in both subjects.
Now, if 60 candidates pass, total strength = 100
For 144 candidates, total strength = $100/60 × 144$ = 240
GET percentage PRACTICE TEST EXERCISES
model 1 simple percentage questions
model 2 net increase or decrease in %
model 3 reducing & exceeding prices
model 4 x & y comparison
model 5 income & expenditure
model 6 consumption & remaining
model 7 marks scored in examinations
Model 8 population based
model 9 voters & election
model 10 percentage with allegations & mixture
model 11 percentage with ratios
percentage Shortcuts and Techniques with Examples
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model 1 simple percentage questions
Defination & Shortcuts … -
model 2 net increase or decrease in %
Defination & Shortcuts … -
model 3 reducing & exceeding prices
Defination & Shortcuts … -
model 4 x & y comparison
Defination & Shortcuts … -
model 5 income & expenditure
Defination & Shortcuts … -
model 6 consumption & remaining
Defination & Shortcuts … -
model 7 marks scored in examinations
Defination & Shortcuts … -
Model 8 population based
Defination & Shortcuts … -
model 9 voters & election
Defination & Shortcuts … -
model 10 percentage with allegations & mixture
Defination & Shortcuts … -
model 11 percentage with ratios
Defination & Shortcuts …
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