Chennai, Delhi, Alwar and Baroda, Mumbai in the year 2020 are given:

Note:

I) Population density = Total population of city / Land Area

II) Gender Ratio = Total Number of males / Total number of Females × 100

1) Find the gender ratio of Alwar if the female population in Alwar is 3200?

a) 75%

b) 5%

c) 80%

d) 5%

e) None of these

2) If the total population of Female population in Mumbai and Chennai are equal and gender ratio of Chennai is 36 more than that of Mumbai. Find the number of Males in Chennai?

a) 2500

b) 3750

c) 4500

d) 8000

e) None of these

3) Find the gender ratio of Baroda if the Ratio between the male and female population in Baroda is 9: 8?

a) 75%

b) 112.5

c) 80%

d) 62.5%

e) None of these

4) The total Population of Delhi is what percent more and less than the total population of Chennai?

a) 75%

b) 87.5% 

e) None of these

5) In alwar, if the ratio between male and female is 7 : 3 and the

ratio between the educated female and uneducated female in Alwar

is 11:7 and in Mumbai if the ratio between male and female is 9 : 5

and ratio between educated male and uneducated male is 5:4 then

what percent of uneducated male in Mumbai are more or less than

the educated female in Alwar?

a) 750/11%

b) 2300/11%

c) 1100/11 %

d) 2100/11 %

e) None of these

Answers :

1) Answer: B

Population density of Alwar= Total population of city / Land Area

= >  10 = (3200 +  x) / 600

= > 6000 = x + 3200

= > x = 2800 (males)

Gender Ratio of Alwar= Total Number of males / Total number of Females × 100

= > 2800 / 3200 × 100

= > 87.5 %

2) Answer: D

Let number of females in Mumbai be x

So number of females in Chennai = x

Total population of Mumbai = 700 × 16

= >11200

Total population of Chennai = 500 × 26

= > 13000

Now according to the question,

(13000 – x) / x × 100 = (11200 – x ) / x × 100 + 36

= > x = 5000

Males in Chennai = 13000 – 5000 = 8000

3) Answer: B

Population density  of Baroda= Total population of city / Land Area

= >  34 = (9x +  8x) / 700

= > 23800 = 17x

= > x = 1400

Male population in Baroda = 1400 × 9 = 12600

Female population in Baroda = 1400 × 8 = 11200

Gender Ratio of Baroda= Total Number of males / Total number of Females × 100

= > 12600 / 11200 × 100

= > 112.5%

4) Answer: C

Population density  of Delhi = Total population of city / Land Area

20 = x / 600

X = 12000

Population density  of chennai= Total population of city / Land Area

26 = y / 500

Y = 13000

Required percentage = (13000 – 12000) / 13000 × 100

= >7 9/13%

5) Answer: D

Population density of Alwar= Total population of city / Land Area

 10 = x / 600

x = 6000

Male: Female in Alwar = 7: 3

So male = 7 / 10 × 6000 = 4200

And female = 6000 – 4200 = 1800

Educated female: uneducated female = 11 : 7

Educated female =11 / 18 × 1800=1100

Uneducated female = 1800 – 1100 = 700

Population density of Mumbai= Total population of city / Land Area

16 = y / 700

Y = 11200

Male : Female = 9 : 5

Male in Mumbai = 9 / 14 × 11200= 7200

Female in Mumbai = 11200 – 7200 = 4000

Educate male: uneducated male = 5 : 4

Educated male in Mumbai = 5 / 9 × 7200= 4000

Uneducated male in Mumbai = 7200 – 4000 = 3200

Required percentage = Uneducated male in Mumbai/ educated female in

Alwar × 100

= (3200 – 1100 ) / 1100 × 100

= 2100 / 1100 × 100

= 2100 / 11 % more