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Directions (1-5): Study the following table carefully to answer the questions given below it. Percentage of Marks Obtained by Various S...

# Data Analysis and Interpretation for BANK PO exams - Data Interpretation Tables 5

Directions (1-5): Study the following table carefully to answer the questions given below it.
Percentage of Marks Obtained by Various Students in Various Subjects in an Examination
 MARKS Students English (out of 100) Hindi (out of 100) Science (out of 150) History ( out of 60) Maths (out of 150) Geography (out of 40) A 68 75 82 60 96 55 B 88 73 85 65 88 65 C 75 56 72 75 75 80 D 70 66 80 80 72 62 E 72 60 68 74 68 75 F 85 70 90 70 74 70
(Corporation Bank PO 2010)
1. What is the approximate overall percentage obtained by C in the examination?
a) 78                b)75                 c)71                 d) 69                e) 65
Explanation :
Marks obtained by C in the exam:

English = 100 x $\frac{75}{100}$ = 100

Hindi = 100 x $\frac{56}{100}$ $\frac{56}{100}$ = 56

Science = 150 x $\frac{72}{100}$ $\frac{72}{100}$ = 108

History = 60 x $\frac{75}{100}$ = 45

Maths = 150 x $\frac{75}{100}$ = 112.5

Geography = 40 x $\frac{80}{100}$ = 32

Total marks obtained by C in the exam = 75 + 56 + 108 + 45 + 112.5 + 32 = 428.5

Total maximum marks = 100 + 100+150+60+150+40 = 600

Required percentage = $\frac{428.5}{600}$x 100% = 71.4%

2. What is the difference in the marks obtained by B in English and Maths together and the marks obtained by F in the same subjects?
a) 15                b) 17                c) 15                d) 28               e) None of these

Explanation :
Marks obtained by B  :

English = 100 x $\frac{88}{100}$ = 88        Maths = 150 x $\frac{88}{100}$= 132

Total marks of B in  English and Maths = 88 + 132 = 220

Marks obtained by F:

English = 100 x $\frac{85}{100}$ = 85

Maths = 150 x $\frac{74}{100}$ = 111

Total marks of F in English and Maths =  85 + 111 = 196
Required difference = 220 – 196 = 24

3.  The marks obtained by E in Geography are what per cent of the marks obtained by E in Hindi?
a) 50                b) 55                c) 45                d) 60                e) None of these
Solution: Marks obtained by E:
Goegraphy =  40 x $\frac{75}{100}$ = 30
Hindi = 100 x $\frac{60}{100}$ = 60
Therefore required percentage = $\frac{30}{60}$ x  100 = 50

4. What is the overall percentage of marks obtained by D in History and Geography together?
a) 73.4%          b) 72.8%          c) 70.5 %         d) 68.8 %                     e) None of these
Explanation :
Marks  obtained by D:

History  = 60 x $\frac{8}{100}$= 48               Geography = 40 x $\frac{62}{100}$ = 24.8

Total marks in History and Geography = 48 + 24.8 = 72.8
Total maximum marks of History and Geography = 60 +40 = 100
The overall percentage of marks obtained by D in History and Geography together is

= $\frac{72.8}{100}$ x 100% = 72.8%

5. What is the average makes obtained by all the students together in Science?
a) 77.16           b) 120.50         c) 118              d) 121              e)119.25
Explanation :
Maximum marks in science = 150

Average marks percentage of all student= $\frac{(82 + 85 + 72 + 80 + 68 + 90)}{6}$ = $\frac{477}{6}$ =79.5
Average marks in science

= 150 x $\frac{79.5}{100}$ = 119.25

Directions (1 to 5): Study the table carefully to answer these questions:

TABLE SHOEING NUMBER (IN LAKHS) OF INSTRUMENTS MANUFACTURES BY SIX COMPANIES OVER THE YEARS

 Company Year A B C D E F 2002 45 35 48 42 50 49 2003 40 32 52 46 48 45 2004 48 36 50 43 56 48 2005 49 37 45 48 52 44 2006 46 30 55 50 54 50 2007 52 38 47 40 51 52
(Andhra Bank PO 2009)

1.  What is the average number of instruments manufactured by company C for all the given years?

a) 49,00,000    b) 49,50,000    c) 48,50,000    d) 48,00,000    e) None of these
Solution: Average number of instruments manufactured by company  C for all the given years

=  $\frac{(48 + 52+ 50+45+55+47) lakhs}{6}$  = $\frac{297}{6}$ = 4950000

2.  The number of instruments manufactured by company E in 2004 is approximately  what percent of the total number of instruments  manufactured by all the companies together in 2004?
a) 23                b) 25                c) 20                d) 16                e) 18
Explanation :
Number of instruments manufactured by company E in 2004 = 56 lakhs
Number of instruments manufactured by all the companies in 2004
= (48 + 36 + 50 + 43 + 56 + 48) lakhs = 281 lakhs

\ Required percentage =$\frac{56}{281}$  x 100% = 19.92 = 20% approximately

3.  Total number of instruments manufactured by company A is approximately  what percent of the total number of instruments manufactured by company F for all the given years together?
a) 97                b) 92                c) 87                d) 90                e) None of these
Explanation :
Total number of instruments manufactured by company A for all the given years together Þ (45 + 40 + 48 + 49 + 46 + 52) lakhs = 280 lakhs
Total number of instruments manufactured by company F for all the given years together
Þ (49 + 45 + 48 + 44 + 50 + 52) lakhs = 288 lakhs

Required percentage = $\frac{280}{288}$  x 100%= 97.22% = 97% approximately

4.  The number of instruments manufactured by company B in 2005 is approximately  what percent of the total number of instruments manufactured by company B in all the years together?
a) 20                b) 16                c) 14                d) 18                e) 22
Explanation :
Number of instruments manufactured by company B in 2005 = 37 lakhs
Total number of instruments manufactured by company B over the years
= (35 + 32 + 36 + 37 + 30 + 38) lakhs = 208 lakhs

\ Required percentage  =$\frac{37}{208}$   x 100% = 17.78% = 18% approximately

5. What is the ratio between the total number of instrument’s manufactured by all the companies together in 2007 and that in 2006 respectively?
a)56 : 57          b) 57 : 56         c) 29 : 28         d) 28 : 29         e) None of these