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) 240
(b) 200
(c) 375
(d) 125
The correct answers to the above question in:
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
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Read more marks and examinations Based Quantitative Aptitude Questions and Answers
Question : 1
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 : 2
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 : 3
In a test a student got 30% marks and failed by 25 marks. In the same test another student got 40% marks and secured 25 marks more than the essential minimum pass marks. The maximum marks for the test were
a) 500
b) 480
c) 580
d) 400
Answer »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 = $100/{(n - m)} × (p + q)$
= $100/{(40 - 30)} × (25 + 25) = 500$
Question : 4
In a class 60% of the student pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in atleast one subject, what percentage of the students fail in both the subjects ?
a) 20%
b) 75%
c) 25%
d) 80%
Answer »Answer: (b)
25% of students pass in at least one subject i.e.; they pass in one or both subjects.
% of students who don't pass or fail in both subjects
= (100 – 25)% = 75%
Question : 5
25% of the candidates who appeared in an examination failed to qualify and only 450 candidates qualified. The number of candidates, who appeared in the examination, was
a) 550
b) 600
c) 500
d) 700
Answer »Answer: (b)
Clearly, 75 candidates qualify
75% of appearing candidates = 450
Number of appearing candidates
= ${450 × 100}/75 = 600$
Question : 6
In an examination, 65% of the students passed in Mathematics, 48% passed in Physics and 30% passed in both. How much per cent of students failed in both the subjects ?
a) 13%
b) 43%
c) 47%
d) 17%
Answer »Answer: (d)
n(M) = 65, n(P) = 48, n(M?P) = 30
n(M?P)= n(M) + n(P) – n(M?P)
= 65 + 48 – 30 = 83
Percent of students passed = 83
Percent of students failed= 17
Method 2 :
Students passed only in Math = 65 – 30 = 35%
Students passed only in Physics = 48 – 30 = 18%
Total passing % = 35 + 18 + 30 = 83%
Failed = 100 – 83 = 17%
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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