· having bank accounts in different banks: 1. if the ratio of the number of males and the number...

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Direction (1 – 5) : Refer to the pie-

chart and answer the given questions.

A survey was done on 60000 people

having bank accounts in different banks:

1. If the ratio of the number of males

and the number of females in bank C

is 1 : 2, what is the number of

females having bank account in that

bank?

A. 12500 B. 10800

C. 10280 D. 13500

E. 10450

2. The no. of people having accounts in

bank D is what percent of those in

bank E?

A. 145.2 B. 162.5

C. 45.8 D. 65

E. 78.4

3. If the percentage of people aged

below 18 is 22% of the total no. of

people having accounts in banks B &

F together, find the number of people

aged below 18 in both the banks

together.

A. 2865 B. 4685

C. 3865 D. 4752

E. 3220

4. If the percentage of females having

accounts in bank A is 40% of the total

accounts there and females having

accounts in bank D is 45%, find the

ratio of the total number of males in

banks A and D to the total number of

females in banks A and D?

A. 7 : 5 B. 77 : 47

C. 67 : 49 D. 67 : 42

E. 47 : 37

5. What is the percentage of people

having accounts in banks A and B?

A. 40% B. 44%

C. 34% D. 56.4%

E. 34.5%

Direction: Study the following pie

charts below and answer the

questions that follow:

6. What is the central angle

corresponding to the total number of

professors and assistant professors

teaching Hindi?

A. 46.8 ° B. 50.4 °

C. 43.2 ° D. 39.6 °

E. 45.2 °

7. What percent of professors are

teaching Psychology and Sociology

together out of the total number of

professors and assistant professors

teaching these two subjects

together?

A. 175/6 B. 97/4

C. 155/6 D. 87/4

E. 133/6

8. Total number of assistant professors

teaching Economics and English

together are what percent more than

the total number of professors

teaching these two subjects

together?

A. 88 B. 55

C. 98 D. 92

E. 82

9. What is the approximate average

number of professors teaching

computer science, Economics,

english and sociology?



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A. 9 B. 8

C. 10 D. 11

E. None of these

10. Assistant Professor who teaching

Psychology is how much percent of

Professor, who teach English ?

A. 150% B. 140%

C. 120% D. 125%

E. None of these

Direction (11 – 15) : Study the

following information and answer the

related questions.

P, Q, R, S, T, A, B, C, D and E are

employees of a company. A table

shows the average age of any two

employees of the company. The

average age of A and B is 27.5.

i.e average age of A & P is given as

(A+P)/2=39.5

11. What is the age of T?

A. 27 B. 29

C. 33 D. 39

E. None of these

12. What is the average age of D, R and

S?

A. 25 B. 31

C. 32 D. 35.6

E. None of these

13. What is the ratio of ages of Q and E?

A. 46: 43 B. 43: 46

C. 23: 25 D. 25: 23

E. None of these

14. What will be the average of sum of

ages of A, B, C, D and E together

after five years?

A. 39.8 B. 40

C. 42.6 D. 45.5

E. None of these

15. If age of P and Q is decreased by 50%

and age of A and B is increased by

20%, what will be the ratio of ages of

P, Q, R, S and T together to the ages

of A, B, C, D and E together?

A. 51: 50 B. 50: 51

C. 199: 133 D. 133: 199

E. None of these

Directions (16 – 20): Study the

following graph carefully and answer

the questions given below.

The following graph gives the profit

percentage of three companies in

different years.

Profit = Income – expenditure

Profit % =

16. if the income of company A in 2008

is equal to expenditure of company B

in 2007, find the ratio of profit of

company A in 2008 to company B in

2007.

A. 4:3 B. 4:5

C. 3:5 D. 5:4

E. cannot be determined

17. If the income of company B and C

was equal in 2009, then what was the

ratio of their expenditures?

A. 12 : 13 B. 13 : 12

C. 3 : 2 D. 2 : 3

E. None of these

18. Which company earned the minimum

percentage profit for maximum

number of years during the given

period?

A. A B. B

C. C D. Both B and C

E. Both A and C

19. If company A and C has equal profit

in 2010, then Income earned by

company C is (approx.) what percent

of the expenditures incurred by

company A?

A. 230 B. 260

C. 45 D. 180

E. 80

20. If the expenditure of company A keep

on increasing every year, then in

which year it has maximum income?

A. 2007 B. 2008

C. 2009 D. 2010

E. None of these



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following table carefully and answer

the questions that follow:

The line graph shows the number of

candidates applied for post P and

post Q of a company

21. The number of candidates who

applied for the post P in 2015 is

approximately what percent of the

total number of candidates who

applied for post Q in all the years?

A. 24% B. 15%

C. 11% D. 38%

E. 32%

22. Find out the difference between the

total number of candidates who

applied for post P in 2012 and 2013

together and those who applied for

post Q in 2016 and 2017 together?

A. 111 B. 112

C. 116 D. 117

E. 119

23. Find out the ratio between the

number of candidates who applied in

2012, 2014 and 2016 to the number

of candidates who applied in 2013,

2015 and 2017?

A. 661: 789 B. 789: 661

C. 31: 37 D. 37: 31

E. None of these

24. Suppose in 2018 the number of

candidates applying for post P is

increased by 50% and those for post

Q decreased by 20% as compared to

its previous year then what will be

the ratio of candidates applying for

post P and Q in 2018?

A. 172: 205 B. 205: 172

C. 182: 209 D. 627: 364

E. None of these

25. Suppose 60% of candidates who

applied for post Q in 2013 were

selected and 85% of the candidates

who applied for post P in 2016 were

selected, then find the difference

between the selected candidates for

post Q in 2013 & selected for post P

in 2016.

A. 93 B. 74

C. 81 D. 76

E. 88


following table carefully to answer

the questions that follow.

In the line graph data is given

about passed boys and girls of a

school in 5 different years.

26. If passing percentage of boys and

girls in 2015 is 40% and 80%

respectively then what is passing

percentage of students in this year ?

A. 53.55% B. 61.77%

C. 53.77% D. 56.77%

E. None of these

27. What is difference between average

number of passed boys and passed

girls in all the year together ?

A. 500 B. 700

C. 100 D. 0

E. None of these

28. What is respective ratio of total

number of passed students in 2014

to the students passed in 2016 ?

A. 3 : 8 B. 11 : 8

C. 8 : 11 D. 9 : 13

E. None of these

29. What is average number of passed

students in all year together ?

A. 2420 B. 2240

C. 4220 D. 2024

E. None of these

30. If 30% students are passed in 2013

and 40% students are passed in 2015

then number of students in 2015 is

what percent more/less than that of

2013?



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A. 30% B. 20%

C. 25% D. 40%

E. None of these

Direction (31 – 35): Refer to the

table and answer the given

questions.

No. of items (In lakh) produced and

exported by three companies over

the years:

No. of items produced = No. of items

exported + no. of items stored.

31. For how many years, the ratio of no.

of items produced to exported of

company Y is more than 1.4?

A. 1 B. 2

C. 3 D. 4

E. None of these

32. The percentage of item stored by

company Z in 2006 is what percent of

the total item stored item by all three

companies together in that year?

A. 72% B. 60%

C. 55% D. 45%

E. None of these

33. In which company, no. of items

produced and exported both were

increased or decreased continuously

for 3 years?

A. X B. Y

C. Z D. X & Z

E. None of these

34. What is the ratio of the no. of items

stored from 2005 to 2008 by

company Y and Z?

A. 17 : 26 B. 14 : 37

C. 11 : 23 D. 15 : 29

E. None of these

35. In which company, the no. of stored

items was same for continuously 3

years?

A. X B. Y

C. Z D. Y and Z

E. None of these


following information carefully and

answer the given questions:

The following table shows the

number of classes taken by each

person on different days and their

salary (in Rs.) per class.

Note:

Saturday and Sunday are holidays

“-“ is missing value, we have to find

the value according to the question.

36. Find the ratio of the number of

lectures taken by Sushanta to that of

the number of lectures taken by

Shiromani in a week?

A. 5:3 B. 3:5

C. 2:1 D. 1:1

E. None of these

37. Find the earnings (in Rs.) made by

Bhupender if he teaches for 6 weeks?

A. 27000 B. 45000

C. 30000 D. 35000

E. None of these

38. Find the difference between the

earnings (in Rs.) made by Shiromani

in 2 weeks to that of the earnings

made by Bhupender in 3 weeks?

A. 10500 B. 13500

C. 12500 D. 16500

E. None of these

39. If Vishal takes 2 classes each on

Thursday and Friday, then how much

he can earn in a week?

A. 9000 B. 3000

C. 8000 D. 10,400

E. None of these

40. If the amount of Rs. 48000 was given

to Vishal for 3 weeks, then find the

sum of the number of class/classes

taken by Vishal on Thursday and

Friday together of a week?

A. 10 B. 12

C. 11 D. 14

E. None of these

Directions (41 – 45): Study the

following pie chart and table carefully

to answer the questions that follow:

Total mines = 500



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Table showing the ratio of iron

mines to coal mines which are

distributed among 5 different

countries

41. What is the difference between the

number of iron mines in U.S.A and

the number of coal mines in Russia?

A. 102 B. 4

C. 26 D. 24

E. 0

42. The number of coal mines in the UK

is what percentage more than the

number of iron mines in India?

A. 75 B. 80

C. 70 D. 100

E. 125

43. If 20% of iron mine in China are

under government control and the

remaining mines are private owned,

what is the number of iron mines in

China which are private owned?

A. 15 B. 10

C. 5 D. 20

E. 30

44. The number of iron mines of UK is

approximately what percentage of a

number of coal mines in U.S.A?

A. 50 B. 25

C. 360 D. 22

E. 28

45. What is the average number of coal

mines in all the countries together?

A. 56.75 B. 59.8

C. 59.75 D. 55.5

E. 58.75

Direction (46 – 50): Refer to the

data below and answer the questions

that follow.

In a survey among students in the

college, it was found that out of the

male population 34% preferred

Chemistry, 30% liked Maths and

58% Physics. Of the total Male

students, 15% liked Chemistry and

Maths, 22% liked Physics and Maths

and 32% liked Physics and

Chemistry. Only 33% of the male

students did not like any of these

subjects.

It was also found that out of the

female population 56% preferred

Chemistry, 45% liked Maths and

64% likes Physics. Out of the total

female students, 31% liked

Chemistry and Maths, 25% liked

Physics and Maths and 33% liked

Physics and Chemistry. Only 5% of

the female students did not like any

of these subjects.

Total number of male students in the

college is 3000 and total number of

students in the college is 5000.

46. The ratio of the number of male

students who like only Chemistry to

the number of female students who

like only Maths is

A. 1:14 B. 1:8

C. 3 : 16 D. 3:1

E. None of these

47. The percentage of those males who

like Chemistry or Maths but not

Physics among those males who like

at least one of these is

A. More than 15%

B. Less than 12%

C. More than 12% but less than

15%

D. Cannot be determined

E. None of these

48. find the ratio between the number of

female students who like Chemistry

and Physics only and the number of

male students who like Maths only.

A. 4 : 3 B. 2 : 1

C. 7 : 8 D. 18 : 1

E. None of these



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49. What is the difference between

number of female students of those

who like Maths and Physics but not

Chemistry and number of male

students who like Chemistry only?

A. 150 B. 90

C. 70 D. 180

E. None of these

50. Number of male students those who

like at least one of these subject is

A. 990 B. 2220

C. 2020 D. 2010

E. None of these



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ANSWERS

1. Ans. B.

From the pie-chart,

The survey done on the no. of people =

60000

We know, the central angle for the survey

done on the total no. of people

is 360 °, which is 100% of the pie-chart.

Central angle for the no. of people having

account in bank C = 97.2 °.

So, percentage of people having account

in bank C = (97.2 °/360 °) × 100 = 27

Then, the no. of people having account in

bank C = 60000 × (27/100) = 16200

The ratio of male and female in bank C is

1 : 2.

∴ The no. of female having account in

bank C = 16200 × (2/3) = 10800.

2. Ans. B.

From the pie-chart,


account in bank D = 46.8 °.


account in bank E = 28.8 °.

∴ The required percentage = [(46.8/28.8)

× 100]% = 162.5%.

3. Ans. D.

From the pie-chart,


60000





account in bank B = 86.4 °.


in bank B = (86.4 °/360 °) × 100 = 24


bank B = 60000 × (24/100) = 14400


account in bank F = 43.2 °.


in bank F = (43.2 °/360 °) × 100 = 12


bank F = 60000 × (12/100) = 7200

Total no. of people having account in

bank B and F together = 14400 + 7200 =

21600.

The percentage of people aged below 18

is 22% of the total no. of people having

account in bank B & F together.

∴ The number of people aged below 18 in

both the banks together

= 21600 × (22/100) = 4752.

Alternate method

Combined angle of B & F=

86.4+43.2=129.6

Total number of people aged below 18 in

both the banks together=

22%129.6*60000/360

=4752

4. Ans. C.

From the pie-chart,


60000





account in bank A = 57.6 °.


in bank A = (57.6 °/360 °) × 100 = 16


bank A = 60000 × (16/100) = 9600

The percentage of female having account

in bank A is 40%.

So, the no. of female having account in

bank A = 9600 × (40/100) = 3840

And, the no. of male having account in

bank A = 9600 – 3840 = 5760


account in bank D = 46.8 °.


in bank A = (46.8 °/360 °) × 100 = 13


bank A = 60000 × (13/100) = 7800

The percentage of female having account

in bank D is 45%.

So, the no. of female having account in

bank D = 7800 × (45/100) = 3510

And, the no. of male having account in

bank D = 7800 – 3510 = 4290

∴ The required ratio = (5760 + 4290) :

(3840 + 3510) = 10050 : 7350

= 67 : 49.

5. Ans. A.

From the pie-chart,


60000





account in bank A = 57.6 °.


account in bank B = 86.4 °.

So, the total central angle for the no. of



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people having account in bank A and B

= 57.6 ° + 86.4 ° = 144 °

∴ The percentage of people having

account in bank A and B

= [(144 °/360 °) × 100]% = 40%.

6. Ans. B.

from I chart,

Angle = (14/100) * 360 = 50.4 °

7. Ans. A.

Total professors teaching Psychology

and Sociology together = ((16 +

12)/100) * 50 = 14

Total number of professors and assistant

professors teaching Psychology and

Sociology together = ((18 + 14)/100) *

150 = 48

Required % = 14/48 * 100 = 175/6

8. Ans. E.

Total number of professors teaching

Economics and English together =

(((10+24)/100) * 50 = 17

Total number of professors and assistant

professors teaching Economics and

English together = ((10+22)/1000 * 150

= 48

Total number of assistant professors

teaching Economics and English together

= 48 - 17 = 31

Required % = (31 - 17)/17 * 100 =

82%

9. Ans. A.

Professors teaching -

Computer Science = 22/100 * 50 = 11

Economics = 10/100 * 50 = 5

English = 24/100 * 50 = 12

Sociology = 16/100 * 50 = 8

Average = (11 + 5 + 12 + 8)/4 = 9

10. Ans. D.

Total Professor & Assistant Professor

teaching psychology= 150×14%= 21

Professor teaching Psychology= 12% of

50= 6

Assistant professor teaching

Psychology= 21-6= 15

Now Professor teaching English= 24% of

50= 12

so required % of Assistant professor= 15

× 100/12= 125%

11. Ans. B.

A + B = 2 27.5 = 55

A + P = 2

B + P = 2

A + B + 2P = 79 + 84

2P = 163 – 55

P = 54

Now, A = 79 – 54 = 25

A + T = 2

So, T = 54 – 25 = 29

12. Ans. E.

B = 55 – 25 = 30

B + R = 2

So, R = 51 – 30 = 21

D + R = 2

D = 73 – 21 = 52

And, S + D = 2

S = 85 – 52 = 33

Therefore, average of D, R and S =

13. Ans. A.

T + E = 2

E = 72 – 29 = 43

Q + E = 2

Q = 89 – 43 = 46

Ratio = 46: 43

14. Ans. C.

C + Q = 2 42 = 84

C = 84 – 46 = 38

Sum of ages of A, B, C, D and E together

after five years = (25 + 30 + 38 + 52 +

43) + 25 = 213

Average =

15. Ans. D.

Age of P and Q is decreased by 50%. So,

New age of P =

New age of Q =

And, age of A and B is increased by

20%. So,

New age of A =

New age of B =

Ratio = =

16. Ans. A.

Company A in 2008, income:

expenditure= 150:100= 3:2

company B in 2007, income:

expenditure= 125: 100= 5:4



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now given, income of A in 2008 same as

expenditure of B in 2007

Income A : expenditure A = 3:2 multiply

by 4

Income B : expenditure B = 5:4 multiply

by 3

Income A : expenditure A = 12 : 8

Income B : expenditure B = 15 : 12

profit of A in 2008= 12-8= 4

profit of B in 2007= 15-12= 3

Required Ratio= 4:3

17. Ans. A.

Let the expenditures of company B and

C were x and y respectively in the year

2009.

Now,

1.3x = 1.2 y

x : y = 12 : 13

18. Ans. D.

In 2007, Company B earned minimum

percentage profit.

In 2008, Company C earned minimum

percentage profit.

In 2009, Company C earned minimum

percentage profit.

In 2010, Company B earned minimum

percentage profit.

Hence both companies B and C earned

the minimum percentage profit two

(maximum) times.

19. Ans. A.

Let the expenditures of company A and

C were x and y respectively in the year

2010. Then

0.6 x = 0.35y

x :y = 7 : 12

let x = 7p & y = 12p

Expenditure of company A = 7p

Expenditure of company C = 12p

Income of company C

Required percentage

20. Ans. D.

Since the expenditure kept on

increasing, company A has maximum

expenditure in 2010. Also the profit % is

maximum for 2010, so the income will

also be maximum for 2010.

21. Ans. B.

The number of candidates applied for

post P in 2015 = 342


post Q in 2012 = 320


post Q in 2013 = 375


post Q in 2014 = 424


post Q in 2015 = 452


post Q in 2016 = 284


post Q in 2017 =455

⇒ Total number of candidates applied for

post Q = 320 + 375+ 424 + 452 + 284

+ 455 = 2310

Now, required percentage =

15%

Hence, the number of candidates applied

for post P in 2015 is approx. 15% of the

total number of candidates applied for

post Q.

22. Ans. E.


post P in 2012 = 295


post P in 2013 = 325


post P in 2012 and 2013 = 620


post Q in 2016 = 284


post Q in 2017 = 455


post Q in 2016 and 2017 = 739

∴ Required difference = 739 – 620 =

119

Hence, the difference between the total

numbers of candidates applied for post P

in 2012 and 2013 together and those for

post Q in 2016 and 2017 together is

119.

23. Ans. A.


post P in 2012 = 295


post Q in 2012 = 320

⇒ Total number of candidates applied in

2012 = 295 + 320 = 615


post P in 2014 = 300




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post Q in 2014 = 424


2014 = 300 + 424 = 724


post P in 2016 = 360


post Q in 2016 = 284


2016 = 360 + 284 = 644


2012, 2014 and 2016 = 615 + 724 +

644 = 1983


post P in 2013 = 325


post Q in 2013 = 375


2013 = 325 + 375 = 700


post P in 2015 = 342


post Q in 2015 = 452


2015 = 342 + 452= 794


post P in 2017 = 418


post Q in 2017 = 455


2017 = 418 + 455 = 873


2013, 2015 and 2017 = 700 + 794 +

873 = 2367

Now, required ratio = 1983: 2367 =

661:789

Hence, the ratio between the number of

candidates applied in 2012, 2014 and

2016 to the number of candidates

applied in 2013, 2015 and 2017 is 661:

789

24. Ans. D.


post P in 2017 = 418

In 2018, the number of candidates

applying for post P increased by 50%

⇒ Number of candidates applying for

post P in 2018 = 150% of 418


post P in 2018 = 627


post Q in 2017 = 455

In 2018, the number of candidates

applying for post Q decreased by 20%


post Q in 2018 = 80% of 455


post Q in 2018 = 364

Now, required ratio = 627: 364

Hence, the ratio of candidates applying

for post P and Q in 2018 is 627: 364

25. Ans. C.


post Q in 2013 = 375

60% of candidates who applied got

selected for post Q in 2013

⇒ Number of candidates who got

selected for post Q in 2013 = 60% of

375


selected for post Q in 2013 = 225


post P in 2016 = 360

85% of candidates who applied got

selected for post P in 2016


selected for post P in 2016 = 85% of

360


selected for post P in 2016 = 306

Now, required difference= 306-225= 81

26. Ans. E.

Required % =

=

27. Ans. D.

Required difference =

= 0

28. Ans. C.

Required ratio =

(1500 + 900) : (1800 + 1500)

= 2400 : 3300 = 8 : 11

29. Ans. B.

Required average =

= 2240

30. Ans. A.

Since total students passed in 2015 = no

of boys passed + no of girls passed

= 1000+ 1600 =2600



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Now, since the passing percentage is

40%

Therefore, (number of students

appeared in 2015) * (40/100) = 2600

(i.e. passes students)

---->Number of students appeared in

2015 = 2600*(100/40) = 6500

---->Similarly, number of students in

2013 = (400 + 1100) * (100/30) =5000

Required % =

= = 30%

31. Ans. D.

From the graph,

For company Y:

∴ We can clearly observed that for 4

years, the ratio of no. of items produced

to exported of company Y is more than

1.4.

32. Ans. B.

From the graph,

In 2006:

So, the total item stored item by all

three companies together = 14 + 10 +

36

= 60 lakh.

∴The required percentage = [(36/60) ×

100]% = 60%.

33. Ans. B.

From the graph,

For company Y:

∴ We can clearly observed that the no. of

items produced and exported both were

decreased continuously for 3 years

(2006 to 2009) in company Y.

34. Ans. A.

From the graph,

Total no. of items produced by company

Y from 2005 to 2008

= (68 + 62 + 60 + 56) = 246 lakh

Total no. of items exported by company

Y from 2005 to 2008

= (44 + 52 + 46 + 36) lakh = 178 lakh

So, the total no. of items stored by

company Y from 2005 to 2008

= (246 – 178) lakh = 68 lakh

And,

Total no. of items produced by company

Z from 2005 to 2008

= (62 + 68 + 60 + 64) lakh = 254 lakh

Total no. of items exported by company

Z from 2005 to 2008

= (36 + 32 + 40 + 42) lakh = 150 lakh

So, the total no. of items stored by

company Z from 2005 to 2008

= (254 – 150) lakh = 104 lakh

∴ The required ratio = 68 : 104 = 17 :

26.

35. Ans. A.

From the table,

For company X:

∴ We can clearly observed that the no.

of stored items was same for

continuously 3 years in company X.

36. Ans. B.

Number of lecture taken by Sushanta in

a week = 2 × 3 = 6

Number of lecture taken by Shiromani in

a week = 2 × 3+2 × 2 = 10

Required ratio = 6 : 10 = 3 : 5.

37. Ans. A.

Number of lecture taken by Bhupender

in a week = 1x 3 + 3 x 2 = 9

Total earning in 6 week = 6 x 9 x 500 =

Rs. 27000

38. Ans. A.

Number of lecture taken by Shiromani in

a week = 2 x 3 + 2 x 2 = 10



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Number of lecture taken by Bhupender

in a week = 1 x 3 + 3 x 2 = 9

Required difference =(10 x 2 x 1200) -

(9 x 3 x 500) = Rs.10,500

39. Ans. D.

Number of lecture taken by Vishal in a

week = 3x3+2x2 =13

Vishal’s earning in a week = 13x 800=

10,400

40. Ans. C.

Amount given to Vishal for 1 week =

48000/3 = Rs.16000

Vishal’s earning in Monday, Tuesday and

Wednesday = 3 x 3 x 800 = Rs. 7200

Remaining earning = 16000 - 7200 =

Rs. 8800

Sum of the number of classes taken on

Thursday and Friday together =

8800/800 = 11

41. Ans. B.

Total number of mines in U.S.A = 500 ×

28/100 = 140

⇒ Number of iron mines in U.S.A = 140

× 5/14 = 50

Total number of mines in Russia = 500

× 27/100 = 135

⇒ Number of coal mines in Russia = 135

× 2/5 = 54

∴ required difference = 54 – 50 = 4

Hence, 4 is the difference between the

number of iron mines in U.S.A and the

number of coal mines in Russia.

42. Ans. A.

Total number of mines in India = 500 ×

18/100 = 90

⇒ Number of iron mines in India = 90 ×

2/9 = 20

Total number of mines in UK = 500 ×

12/100 = 60

⇒ Number of coal mines in UK = 60 ×

7/12 = 35

∴ required difference = 35 – 20 = 15

Now, required percentage = 15/20 ×

100 = 75%

Hence, the number of coal mines in the

UK is 75 percentage more than the

number of iron mines in India.

43. Ans. D.

Number of mines in China = 500 ×

15/100 = 75

⇒ Number of iron mines in China = 75 ×

1/3 = 25

⇒ Number of iron mines in china which

are government owned = 25 × 20/100 =

5

∴ Number of iron mines in china which

are private owned = 25 – 5 = 20

Hence, If 20% of iron mine in China are

under government control and the

remaining 20 mines are private owned.

44. Ans. E.

Number of mines in U.S.A = 500 ×

28/100 = 140

⇒ Number of coal mines in U.S.A = 140

× 9/14 = 90

Number of mines in UK = 500 × 12/100

= 60

⇒ Number of iron mines in UK = 60 ×

5/12 = 25

∴ required percentage = 25/90 × 100 =

27.77% ≈ 28%

Hence, the number of iron mines of UK

is approximately 28 percent of number

of coal mines in U.S.A

45. Ans. B.

Number of coal mines in India = 500 ×

18/100 × 7/9 = 70

Number of coal mines in U.S.A = 500 ×

28/100 × 9/14 = 90

Number of coal mines in UK = 500 ×

12/100 × 7/12 = 35

Number of coal mines in Russia = 500 ×

27/100 × 2/5 = 54

Number of coal mines in China = 500 ×

15/100 × 2/3 = 50

⇒ Total coal mines = 70 + 90 + 35 + 54

+ 50 = 299

Now, required average = 297/5 = 59.8

Hence, 59.8 is the average number of

coal mines in all the countries together

46. Ans. C.

Let x male students like all these three

subjects.

So, Male students like Chemistry and

Maths = 15 - x

Male students like Chemistry and Physics

= 32 - x

Male students like Physics and Maths =

22 - x

Male students like Chemistry only = 34 -

(15-x+x+32-x) = x - 13

Male students like Physics only = 58 -

(32-x+x+22-x) = x + 4

Male students like Maths only = 30 -

(15-x+x+22-x) = x - 7

We can solve this as:

For male students:

x-13+15-x+x-7+x+32-x+22-x+x+4=67

53+x = 67

x = 14



www.gradeup.co

14


Maths = 15 - 14 = 1


= 32 - 14 = 18


22 - 14 = 8


13 = 1

Male students like Physics only = 14 + 4

= 18

Male students like Maths only = 14 - 7 =

7

Let y female students like all these three

subjects.

So, female students like Chemistry and

Maths = 31 - y

Female students like Chemistry and

Physics = 33 - y

Female students like Physics and Maths

= 25 - y

Female students like Chemistry only =

56 - (31-y+y+33-y) = y - 8

Female students like Physics only = 64 -

(33-y+y+25-y) = y + 6

Female students like Maths only = 45 -

(31-y+y+25-y) = y - 11

For female students:

y-8+31-y+y-11+y+33-y+25-y+y+6=95

76+y = 95

y = 19


Maths = 31 - 19 = 12


Physics = 33 - 19 = 14


= 25 - 19 = 6


19 - 8 = 11

Female students like Physics only = 19

+ 6 = 25


11 = 8

Venn diagram is given below:

Male students who like Chemistry only =

1% of 3000 = 30

Female students who like Maths only =

8% of 2000 = 160

Required Ratio = 30 : 160 = 3 : 16

47. Ans. C.


subjects.


Maths = 15 - x


= 32 - x


22 - x


(15-x+x+32-x) = x - 13


(32-x+x+22-x) = x + 4


(15-x+x+22-x) = x - 7



For male students:

x-13+15-x+x-7+x+32-x+22-x+x+4=67

53+x = 67

x = 14


Maths = 15 - 14 = 1




www.gradeup.co

15

= 32 - 14 = 18


22 - 14 = 8


13 = 1


= 18


7

Simplified Venn diagram:

Male students who like Chemistry or

Maths = 1% + 1% + 7% = 9 %

Males who like at least one of these

subjects = 100% - 33% = 67%

Required % =

= 13.43%

48. Ans. A.


subjects.


Maths = 15 - x


= 32 - x


22 - x


(15-x+x+32-x) = x - 13


(32-x+x+22-x) = x + 4


(15-x+x+22-x) = x - 7


For male students:

x-13+15-x+x-7+x+32-x+22-x+x+4=67

53+x = 67

x = 14


Maths = 15 - 14 = 1


= 32 - 14 = 18


22 - 14 = 8


13 = 1


= 18


7


subjects.


Maths = 31 - y


Physics = 33 - y


= 25 - y


56 - (31-y+y+33-y) = y - 8


(33-y+y+25-y) = y + 6


(31-y+y+25-y) = y - 11


y-8+31-y+y-11+y+33-y+25-y+y+6=95

76+y = 95

y = 19

So, Female students like Chemistry and

Maths = 31 - 19 = 12


Physics = 33 - 19 = 14


= 25 - 19 = 6


19 - 8 = 11


+ 6 = 25


11 = 8




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16

Number of female students = 14% of

2000 = 280

Number of male students = 7% of 3000

= 210

Required Ratio = 280 : 210 = 4 : 3

49. Ans. B.


subjects.


Maths = 15 - x


= 32 - x


22 - x


(15-x+x+32-x) = x - 13


(32-x+x+22-x) = x + 4


(15-x+x+22-x) = x - 7


For male students:

x-13+15-x+x-7+x+32-x+22-x+x+4=67

53+x = 67

x = 14


Maths = 15 - 14 = 1


= 32 - 14 = 18


22 - 14 = 8


13 = 1


= 18


7


subjects.


Maths = 31 - y


Physics = 33 - y


= 25 - y


56 - (31-y+y+33-y) = y - 8


(33-y+y+25-y) = y + 6


(31-y+y+25-y) = y - 11


y-8+31-y+y-11+y+33-y+25-y+y+6=95

76+y = 95

y = 19


Maths = 31 - 19 = 12


Physics = 33 - 19 = 14


= 25 - 19 = 6


19 - 8 = 11


+ 6 = 25


11 = 8


Total female students = 5000 – 3000 =

2000

Required Difference = 6% of 2000 – 1%

of 3000 = 120 – 30 = 90

50. Ans. D.


subjects.


Maths = 15 - x


= 32 - x


22 - x


(15-x+x+32-x) = x - 13


(32-x+x+22-x) = x + 4



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17


(15-x+x+22-x) = x - 7



For male students:

x-13+15-x+x-7+x+32-x+22-x+x+4=67

53+x = 67

x = 14


Maths = 15 - 14 = 1


= 32 - 14 = 18


22 - 14 = 8


13 = 1


= 18


7

Simplified Venn diagram:

Required % = 1 + 1 + 7 + 18 + 14 + 8

+ 18 = 67%

Required number = 67% of 3000 =

2010



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18




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