Question Details

The line graph given below shows total number of people (male + female) visited four different parks (A, B, C and D) and table shows fraction of male out of total people visited these four parks.

Read the data carefully and answer the questions below.

Find the difference between average number of females visited park A, C & D and total number of males visited park B.

Options

A

30

B

40

C

60

D

70

E

80

Show Answer

Correct Answer :

Option C

60

Solution :

First, we extract the total number of people (male + female) who visited each park from the line graph:
The vertical axis of the line graph has major markings at intervals of 32 units (0, 32, 64, 96, 128, 160), with 4 equal subdivisions between them. Therefore, each grid line represents:
324=8 units

By reading the point locations on the graph:
Park A: Two grid lines above 128 = 128+2×8=144
Park B: Exactly at the 160 line = 160
Park C: Two grid lines above 96 = 96+2×8=112
Park D: Exactly at the 96 line = 96

Next, using the fractions of males provided in the table, we calculate the number of males and females for the required parks:

For Park A:
• Fraction of males = 23
• Fraction of females = 1-23=13
• Number of females visited Park A = 144×13=48

For Park B:
• Fraction of males = 58
• Number of males visited Park B = 160×58=100

For Park C:
• Fraction of males = 47
• Fraction of females = 1-47=37
• Number of females visited Park C = 112×37=48

For Park D:
• Fraction of males = 34
• Fraction of females = 1-34=14
• Number of females visited Park D = 96×14=24

Now, we calculate the average number of females visited parks A, C, and D:
Average=48+48+243=1203=40

Finally, we find the difference between this average and the total number of males visited park B (which is 100):
Difference=100-40=60

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