model 7 marks scored in examinations Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 11 EXERCISES
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The following question based on percentage topic of quantitative aptitude
(a) 500
(b) 300
(c) 1000
(d) 800
The correct answers to the above question in:
Answer: (a)
Let the total marks be x.
According to the question,
25% of x + 40 = 33% of x
(33 – 25)% of x = 40
8% of x = 40
x = ${40 × 100}/8$ = 500
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Read more marks and examinations Based Quantitative Aptitude Questions and Answers
Question : 1
For an examination it is required to get 36 % of maximum marks to pass. A student got 113 marks and failed by 85 marks. The maximum marks for the examination are :
a) 565
b) 550
c) 620
d) 500
Answer »Answer: (b)
Let maximum marks be x, then,
${36 × x}/100 = 113 + 85 = 198$
$x = {198 × 100}/36 = 550$
Using Rule 24,
a = 36%, b = 113, c = 85
Maximum marks = ${(b + c)}/a × 100$
= ${(113 + 85)}/36 × 100$
= $198/36 × 100$ = 550
Question : 2
A student has to secure 40% marks to pass. He gets 90 marks and fails by 10 marks. Maximum marks are :
a) 250
b) 225
c) 275
d) 200
Answer »Answer: (a)
Let the maximum marks be x.
According to the question,
40% of x = 90 + 10
x = ${100 × 100}/40 = 250$
Using Rule 24,
a = 40%, b = 90, c = 10
Maximum marks = ${(b + c)}/a × 100$
= ${(90 + 10)}/40 × 100 = 250$
Question : 3
In an examination, 60% of the candidates passed in English and 70% of the candidates passed in Mathematics, but 20% failed in both of these subjects. If 2500 candidates passed in both the subjects, the number of candidates who appeared at the examination was
a) 4000
b) 3500
c) 5000
d) 3000
Answer »Answer: (c)
Let the total number of candidates = x
Number of candidates passed in English = 0.6x
Number of candidates passed in Maths = 0.7x
Number of candidates failed in both subjects = 0.2x
Number of candidates passed in atleast one subject
= x – 0.2x = 0.8x
0.6 x + 0.7x – 2500 = 0.8 x
1.3x – 0.8x = 2500
0.5x = 2500 ⇒ $x = 2500/0.5 = 5000$
Question : 4
In an examination, there were 1000 boys and 800 girls. 60% of the boys and 50% of the girls passed. Find the percent of the candidates failed ?
a) 44.4%
b) 48.4%
c) 49.6%
d) 46.4%
Answer »Answer: (a)
Total candidates = 1000 + 800 = 1800
The candidates who are passed
= $1000 × 60/100 + 800 × 50/100$
= 600 + 400 = 1000
The number of candidates who failed = 1800 – 1000 = 800
Required percent = $800/1800 × 100 = 44.4%$
Using Rule 25,
Percentage of passed students = $({B.b + G.g}/{B + G})%$
= ${1000 × 60 + 800 × 50}/{1000 + 800}$
= ${60000 + 40000}/1800$
= $100000/1800 = 500/9 = 55.5$
Percentage of failed students = 100 – 55.5 = 44.4%
Question : 5
A candidate secured 30% marks in an examination and failed by 6 marks. Another secured 40% marks and got 6 marks more than the bare minimum to pass. The maximum marks are
a) 100
b) 120
c) 180
d) 150
Answer »Answer: (b)
Difference of percentage = (40 – 30)% = 10%
Difference of marks = 6 + 6= 12
Since,10% of total marks = 12
Total marks = ${12 × 100}/10 = 120$
Using Rule 22,
Here, m = 30%, n = 40%, p = 6, q = 6.
Maximum Marks = $100/{(n - m)} × (p + q)$
= $100/{(40 - 30)} × (6 + 6)$
= $100/10 × 12 = 120$
Question : 6
In a group of students, 70% can speak English and 65% can speak Hindi. If 27% of the students can speak none of the the two languages, then what per cent of the group can speak both the languages ?
a) 28%
b) 62%
c) 23%
d) 38%
Answer »Answer: (b)
Let total number of students = 100
27 students speak none of the two languages.
It means only 73 students speak either Hindi or English or both.
Let x students speak both languages.
∴ 73 = 70 – x + x + 65 – x
x = 70 + 65 – 73 = 62%
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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