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) 50%
(b) 45.5%
(c) 54·5%
(d) 45%
The correct answers to the above question in:
Answer: (c)
Failed candidates = ${1100 × 50}/100 + {900 × 60}/100$
= 550 + 540 = 1090
Required percentage = $1090/2000 × 100 = 54.5%$
Using Rule 25,
B = 1100, b = 50%, G = 900, g = 40%
Percentage of failed candidates = ${(Bb + Gg)}/{B + G}%$
= ${1100 × 50 + 900 × 40}/{1100 + 900}$
= ${55000 + 36000}/2000$
= $91/2$ = 45.5%
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Read more marks and examinations Based Quantitative Aptitude Questions and Answers
Question : 1
In two successive years 100 and 75 students of a school appeared at the final examination. Respectively, 75% and 60% of them passed. The average rate of pass is
a) 80$1/2$%
b) 78%
c) 80%
d) 68$4/7$%
Answer »Answer: (d)
Number of students passed in first year = 75
Number of students passed in second year
= ${60 × 75}/100 = 45$
Total number of passed students = 75+45=120
Total number of appeared students =175
∴ Required percentage
= $120/175 × 100 = 68{4}/7%$
Question : 2
In an examination 60% of the students pass in English, 70% pass in Hindi and 40% pass in both. What percent of students fail in both English and Hindi?
a) 25%
b) 20%
c) 30%
d) 10%
Answer »Answer: (d)
The percentage of students who pass in one or two or both subjects
= 60 + 70 – 40 = 90
Percentage of failed students = 100 – 90 = 10%
Question : 3
A student has to secure minimum 35% marks to pass in an examination. If he gets 200 marks and fails by 10 marks, then the maximum marks are
a) 500
b) 400
c) 600
d) 300
Answer »Answer: (c)
Let the maximum marks be x.
According to the question,
35% of x = 200 +10 ⇒ ${35x}/100 = 210$
x = ${210 × 100}/35 = 600$
Using Rule 24,
a = 35%, b = 200, c = 10
Maximum Marks = ${100 × (b + c)}/a$
= ${100(200 + 10)}/35$ = 600 Marks
Question : 4
In an examination a candidate must secure 40% marks to pass. A candidate, who gets 220 marks, fails by 20 marks. What are the maximum marks for the examination?
a) 600
b) 800
c) 450
d) 1200
Answer »Answer: (a)
According to question,
40% ⇒ 220 + 20 or 40% ⇒ 240
100% ⇒ $240/40 × 100 = 600$
Using Rule 24,
a = 40%, b = 220, c = 20
Total Marks = ${100(220 +20)}/40$
=${100 × 240}/40 = 600$
Question : 5
In an examination 34% failed in Mathematics and 42% failed in English. If 20% failed in both the subjects, the percentage of students who passed in both subjects was
a) 44%
b) 50%
c) 56%
d) 54%
Answer »Answer: (a)
Let total number of students = 100
Number of failures in Maths = 34
Number of failures in English = 42
Number of failures in both subjects = 20
Number of failures in Maths or English or both
= 34 + 42 – 20 = 56
Number of students who passed in both subjects
= 100 – 56 = 44
The required percentage = 44%
Using Rule 23,
a = 34%, b = 42%, c = 20%
Passed candidates in both the subjects
= 100 – (a + b – c)
= 100 – (34 + 42 – 20) = 100 – 56 = 44%
Question : 6
In the annual examination Mahuya got 10% less marks than Supriyo in Mathematics. Mahuya got 81 marks. The marks of Supriyo are
a) 88
b) 87
c) 89
d) 90
Answer »Answer: (d)
Let marks obtained by Supriyo = x
${9x}/10 = 81 ⇒ x = {81 × 10}/9 = 90$
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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