Data Interpretation

Pie Chart 2

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Pie Chart 2

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QUEST ? !
Directions to Solve

Study the following graph and the table and answer the questions given below.

Data of different states regarding population of states in the year 1998


Total population of the given States = 3276000.

StatesSex and Literacy wise Population Ratio
SexLiteracy
MFLiterateIlliterate
A.P5327
M.P3114
Delhi2321
Goa3532
Bihar3441
U.P.3272
T.N.3494

Question 1
What was the total number of illiterate people in A.P. and M.P. in 1998 ?

A
876040
B
932170
C
981550
D
1161160
Correct Answer: Option D

No. of illiterate people in A.P. 




=[7of (25% of 3276000)]= 637000.
9

No. of illiterate people in M.P.





=[4of (20% of 3276000)]= 524160.
5

Therefore Total number = (637000 + 524160) = 1161160.


Question 2
What was the number of males in U.P. in the year 1998 ?

A
254650
B
294840
C
321470
D
341200
Correct Answer: Option B
Number of males in U.P.
=[ 3of (15% of 3276000)]
5

=3x15x 3726000
5100

= 294840.



Question 3
What will be the percentage of total number of males in U.P. , M.P. and Goa together to the total population of all the given states ?

A
25%
B
27.5%
C
28.5%
D
31.5%
Correct Answer: Option C
Number of males in U.P

=[3of (15% of N)]  =3x15 = 9 xN.
55100100

where N = 3276000.

Number of males in M.P

=[3of (20% of N)]  =3x20x N   = 15 xN.
44100100


Number of males in Goa

=[3of (12% of N)]  =3x12x N   = 4.5 xN.
88100100

Total numbers of males in these three states
= (9 + 15 + 4.5) xN
100
28.5 x N/100

Therefore Required Percentage

=[
(28.5 xN)
100
x 100]% = 28.5%.
N


Question 4
What is the ratio of the number of females in T.N. to the number of female in Delhi ?

A
7 : 5
B
9 : 7
C
13 : 11
D
15 : 14
Correct Answer: Option D
Required ratio
=
4of (9% of 3276000)
7
3of (8% of 3276000)
5
=
(4x 9)
7
(3x 8)
5
=(4x 9 x5x1)
738
=15.
14
Question 5
If in the year 1998, there was an increase of 10% in the population of U.P. and 12% in the population of M.P. compared to the previous year, then what was the ratio of populations of U.P. and M.P. in 1997 ?

A
42 : 55
B
48 : 55
C
7 : 11
D
4 : 5
Correct Answer: Option A

Let x be the population of U.P. in 1997. Then,

Population of U.P. in 1998 = 110% of x =110x.
100

Also, let y be the population of M.P. in 1997. Then,

Population of M.P. in 1998 = 112% of y =112y.
100

Ratio of populations of U.P. and M.P. in 1998 




=
(110x)
100
=110x.
(112y)
100
112y

From the pie-chart, this ratio is15.
20

Therefore110x=15  =>  x=15x112=42.
112y20y2011055

Thus, ratio of populations of U.P. and M.P. in 1997 

x : y = 42 : 55.