Level-3 Data Table Practice Quiz -2 Hard

Directions : Study the following table chart carefully and answer the questions given below :

The villages of a district are classified into six categories, A through F, based on their population. The following table gives the number of villages in the district belonging to different categories in the years 2006 and 2016.

Category Population No. of Villages in 2006 No. of Villages in 2016 Ratio of no. of male to female Number of Adults in  population Literacy rate among adults ×
A < 200 104 92 5 : 3 60% 60%
B 200 – 500 141 127 2 : 5 50% 50%
C 501 – 1000 145 144 5 : 3 60% 40%
D 1001 – 2000 110 129 3 : 2 60% 40%
E 2001 – 5000 62 80 6 : 7 40% 80%
F > 5000 13 18 8 : 7 64% 50%
The ratio of literacy for males to females in every category is the same as the ratio of the population of males to females given in the table

1 Find the population of category F village if 25% of adult female literate are doctors, 20% of rest adult female literate are engineers, 25% of rest of adult female literate are teachers and remaining 1008 of adult female literate are CA.
A 12000
B 16000
C 20000
D 24000
E 30000

Correct Option: D
Let there be 1000y adult literate females, then

0.75 × 0.8 × 0.75 × 1000y = 1008

y = 2.24

So, adult literate female = 2240

Now, total adult literate = (8 + 7)/7× 2240 = 4800
We have, 50% of Total adult (literate + illiterate) = 4800

So, Total adult (literate + illiterate) = 4800 × 2 = 9600

Then we have, 64% of Total population = number of adults (literate + illiterate) = 9600

Total Population = 100 × 9600/64 = 24000
Hence, option D is correct.

2 Find the average population of villages of category D in 2006 if there 15840 adult females are literate in category D from all the villages combined.
A 1200
B 1500
C 1800
D 2000
E 2400
Correct Option: B
Number of literate adults = 5/2 × 15840 = 39600
Number of adults (literate + illiterate) = 100 × 39600/40
Total population = 100/60 × ( 100 × 39600 )/40 = 165000
Average population of villages = 165000/110 = 1500
Hence, option B is correct.

3 In 2016, find the total population in category B villages was at least what percentage of the total population in category E villages?
A 6.35%
B 6.75%
C 7.15%
D 7.25%
E 8.00%

Correct Option: A
Here we have to take the least possible population of category B and the highest possible population of category E villages.

In 2016, least possible population of category B villages = 127 × 200

Highest possible population of category E villages = 80 × 5000

The percentage = 127 × 200 × 100 / (80 × 5000) = 6.35%

Hence, option A is correct.

4 If the total population in category D villages in 2016 was less than that in 2006, find what could be the least possible average population of category D villages in 2006? (approx)
A 1165
B 1174
C 1192
D 1204
E 1222

Correct Option: B
To find the least possible population of D in 2006, we must start with least possible population of D category villages in 2016.
So, Total Population of D type villages in 2016 = 1001 × 129

Since, it is less than what the population was in 2006, the population in 2006 must be in the form = 1001 × 129 + y, where y = 1, 2, 3, and so on.

But we have to tell the minimum possible population, we must choose y = 1.

So, total population in 2006 = 1001 × 129 + 1 = 129130

Average population = 129130/110 = 1173.9 = 1174 (approx)
Hence, option B is correct.

 

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