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

Questions : In an examination, 1100 boys and 900 girls appeared. 50% of the boys and 40% of the girls passed the examination. The percentage of candidates who failed

(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: (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: (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: (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: (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: (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: (d)

Let marks obtained by Supriyo = x

${9x}/10 = 81 ⇒ x = {81 × 10}/9 = 90$

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