Online Data Interpretation Test  Data Interpretation Test 4
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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.
States  Sex and Literacy wise Population Ratio  
Sex  Literacy  
M  F  Literate  Illiterate  
A.P  5  3  2  7 
M.P  3  1  1  4 
Delhi  2  3  2  1 
Goa  3  5  3  2 
Bihar  3  4  4  1 
U.P.  3  2  7  2 
T.N.  3  4  9  4 
Number of males in U.P. 




= 294840. 
No. of illiterate people in A.P. =  7  of (25% of 3276000)  = 637000.  
9 
No. of illiterate people in M.P. =  4  of (20% of 3276000)  = 524160.  
5 
Total number = (637000 + 524160) = 1161160.
Required ratio 







Number of males in U.P =  3  of (15% of N)  =  3  x  15  x N = 9 x  N  .  
5  5  100  100 
where N = 3276000.
Number of males in M.P =  3  of (20% of N)  =  3  x  20  x N = 15 x  N  .  
4  4  100  100 
Number of males in Goa =  3  of (12% of N)  =  3  x  12  x N = 4.5 x  N  .  
8  8  100  100 
Total number of males in these three states 



Required Percentage = 

x 100  % = 28.5%.  
N 
Let x be the population of U.P. in 1997. Then,
Population of U.P. in 1998 = 110% of x =  110  x x. 
100 
Also, let y be the population of M.P. in 1997. Then,
Population of M.P. in 1998 = 112% of y =  112  x y. 
100 
Ratio of populations of U.P. and M.P. in 1998 = 

=  110x  .  

112y 
From the piechart, this ratio is  15  . 
20 
110x  =  15  x  =  15  x  112  =  42  .  
112y  20  y  20  110  55 
Thus, ratio of populations of U.P. and M.P. in 1997 = x : y = 42 : 55.
In a school the periodical examination are held every second month. In a session during April 2001  March 2002, a student of Class IX appeared for each of the periodical exams. The aggregate marks obtained by him in each perodical exam are represented in the linegraph given below.
Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001  2002.
Maximum Total Marks in each Periodical Exam = 500
Here it is clear from the graph that the student obtained 360, 365, 370, 385, 400 and 405 marks in periodical exams held in Apr 01, Jun 01, Aug 01, Oct 01, Dec 01 and Feb 02 respectively.
Required percentage =  405  x 100  % = 112.5%.  
360 
Average marks obtained in all the periodical exams
=  1  x [360 + 365 + 370 + 385 + 400 + 405] = 380.83 381. 
6 
Required percentage =  (370 + 385)  x 100  % =  755  x 100  % = 75.5%.  
(500 + 500)  1000 
As is clear from the graph, the total marks obtained in periodical exams, go on increasing. Since, the maximum marks for all the periodical exams are the same; it implies that the percentage of marks also goes on increasing.
Thus, in none of the periodical exams, there is a fall in percentage of marks compared to the previous exam.
Percentage increase in marks in various periodical exams compared to the previous exams are:
For Jun 01 =  (365  360)  x 100  % = 1.39%.  
360 
For Aug 01 =  (370  365)  x 100  % = 1.37%.  
365 
For Oct 01 =  (385  370)  x 100  % = 4.05%.  
370 
For Dec 01 =  (400  385)  x 100  % = 3.90%.  
385 
For Feb 02 =  (404  400)  x 100  % = 1.25%.  
400 
Clearly, highest percentage increase in marks is in Oct 01.
Study the following table and answer the questions based on it.
Number of Candidates Appeared, Qualified and Selected in a Competitive Examination from Five States Delhi, H.P, U.P, Punjab and Haryana Over the Years 1994 to 1998
Year  Delhi  H.P  U.P  Punjab  Haryana  
App  Qual  Sel  App  Qual  Sel  App  Qual  Sel  App  Qual  Sel  App  Qual  Sel  
1997  8000  850  94  7800  810  82  7500  720  78  8200  680  85  6400  700  75 
1998  4800  500  48  7500  800  65  5600  620  85  6800  600  70  7100  650  75 
1999  7500  640  82  7400  560  70  4800  400  48  6500  525  65  5200  350  55 
2000  9500  850  90  8800  920  86  7000  650  70  7800  720  84  6400  540  60 
2001  9000  800  70  7200  850  75  8500  950  80  5700  485  60  4500  600  75 
The percentages of candidates selected over the candidates appeared in 1997, for various states are:
(i) For Delhi =  94  x 100  % = 1.175%.  
8000 
(ii) For H.P. =  82  x 100  % = 1.051%.  
7800 
(iii) For U.P. =  78  x 100  % = 1.040%.  
7500 
(iv) For Punjab  85  x 100  % = 1.037%.  
8200 
(v) For Haryana  75  x 100  % = 1.172%.  
6400 
Clearly, this percentage is lowest for Punjab.
The percentages of candidates qualified from Punjab over those appeared from Punjab during different years are:
For 1997 =  680  x 100  % = 8.29%.  
8200 
For 1998 =  600  x 100  % = 8.82%.  
6800 
For 1999 =  525  x 100  % = 8.08%.  
6500 
For 2000 =  720  x 100  % = 9.23%.  
7800 
For 2001 =  485  x 100  % = 8.51%.  
5700 
Clearly, this percentage is highest for the year 2000.
The percentages of candidates selected from U.P. over those qualified from U.P. during different years are:
For 1997 =  78  x 100  % = 10.83%.  
720 
For 1998 =  85  x 100  % = 13.71%.  
620 
For 1999 =  48  x 100  % = 12%.  
400 
For 2000 =  70  x 100  % = 10.77%.  
650 
For 2001 =  80  x 100  % = 8.42%.  
950 
Clearly, this percentage is highest for the year 1998.
Required percentage 




= 88.54%  
88.5% 
The average number of candidates selected over the given period for various states are:
For Delhi =  94 + 48 + 82 + 90 + 70  =  384  = 76.8. 
5  5 
For H.P. =  82 + 65 + 70 + 86 + 75  =  378  = 75.6. 
5  5 
For U.P. =  78 + 85 + 48 + 70 + 80  =  361  = 72.2. 
5  5 
For Punjab =  85 + 70 + 65 + 84 + 60  =  364  = 72.8. 
5  5 
For Haryana =  75 + 75 + 55 + 60 + 75  =  340  = 68. 
5  5 
Clearly, this average is maximum for Delhi.
A cosmetic company provides five different products. The sales of these five products (in lakh number of packs) during 1995 and 2000 are shown in the following bar graph.
Sales (in lakh number of packs) of five different products of Cosmetic Company during 1995 and 2000
The percentage increase from 1995 to 2000 for various products are:
Lipsticks =  (48.17  20.15)  x 100  % = 139.06%.  
20.15 
Nail enamels =  (37.76  5.93)  x 100  % = 536.76%.  
5.93 
Talcum powders =  (29.14  14.97)  x 100  % = 94.66%.  
14.97 
Shampoos =  (12.21  7.88)  x 100  % = 54.95% 55%.  
7.88 
Conditioners =  (10.19  5.01)  x 100  % = 103.39%.  
5.01 
The percentage increase from 1995 to 2000 for various products are:
Lipsticks =  (48.17  20.15)  x 100  % = 139.06%.  
20.15 
Nail enamels =  (37.76  5.93)  x 100  % = 536.76%.  
5.93 
Talcum powders =  (29.14  14.97)  x 100  % = 94.66%.  
14.97 
Shampoos =  (12.21  7.88)  x 100  % = 54.95% 55%.  
7.88 
Conditioners =  (10.19  5.01)  x 100  % = 103.39%.  
5.01 
The minimum rate of increase in sales from 1995 to 2000 is in the case of Shampoos.
Required percentage 


= 27.57%  
28%. 
Required percentage 


= 36.42%  
36%. 
Required ratio =  37.76  2.5 =  5  . 
14.97  2 