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Following bar graph
shows number of students appeared (in thousand) in an engineering entrance
examination and the percentage of students selected in this exam.
shows number of students appeared (in thousand) in an engineering entrance
examination and the percentage of students selected in this exam.
1. In which of the
following years the number of students selected is maximum?
following years the number of students selected is maximum?
(a) 2008
(b) 2009
(c) 2010
(d) 2011
(e) 2012
2. The number of
students selected in the year 2011 is what per cent of the number of students
selected in the year 2009?
students selected in the year 2011 is what per cent of the number of students
selected in the year 2009?
(a) 120%
(b) 125%
(c) 140%
(d) 150%
(e) 160%
Solutions –
Selected students in 2009 = 50% of 60000
= 30000
Selected students in 2011 = 60% of 80000
= 48000
So, Required % = 48000/30000 x 100 =
160% 

3. The number of
students selected in the 2012 is how much percentage more than that of the
number of students selected in the
year 2010?
students selected in the 2012 is how much percentage more than that of the
number of students selected in the
year 2010?
(a) 12%
(b) 20%
(c) 24%
(d) 25%
(e) 27.5%
Solutions –
Selected students in 2012 = 45% of 90000
= 90000 x 45/100 = 40500
Selected students in 2012 = 45% of 75000
= 75000 x 45/100 = 33750
So, % Difference = 40500 – 33750/33750
x 100
= 6750 x 100/33750 = 20%


4. What is the ratio
of the number of students who are not selected in the year 2011 to the number
of students selected in the year
2008?
of the number of students who are not selected in the year 2011 to the number
of students selected in the year
2008?
(a) 3 : 2
(b) 4 : 3
(c) 5 : 4
(d) 7 : 5
(e) 8 : 7
Solutions –
Students not selected in 2011 = 40% of 80000
= 32000
Selected students in 2008 = 40% of 70000
= 28000
So, Ratio = 32000/28000 = 8/7
= 8 : 7 

5. What is the
difference between the average number of students not selected and the average
number of students selected in all five
years?
difference between the average number of students not selected and the average
number of students selected in all five
years?
(a) 2100
(b) 2400
(c) 2700
(d) 2900
(e) 3100
Solutions –
Average Note Selected Candidates = 194750/5
=38950
Average Selected Candidates = 180250/5
= 36050
So, Difference = 38950 – 36050 = 2900


Percentage of marks obtained by Six students in six different subjects :
Subjects ®Students ¯

Physics Out of 125

Biology Out of 80

Maths Out of 125

Sanskrit Out of 50

Social Studies Out of 75

English Out of 75

A

72%

57%

76%

62%

68%

85%

B

84%

62%

86%

59%

74%

68%

C

70%

87%

78%

56%

81%

71%

D

78%

75%

79%

64%

69%

80%

E

58%

68%

91%

77%

73%

81%

F

66%

65%

81%

83%

85%

89%

6. Who has scored the highest marks in all the subjects together ?
(a) B
(b) D
(c) F
(d) E
(e) A
7. If a minimum of 98 marks in Math’s subject are required for opting Math’s stream in the next academic year, how many students will not be able is to opt Math’s stream due to insufficient marks in Math’s subjects?
(a) Two
(b) Three
(c) One
(d) Four
(e) None of these
8. What is the ratio between total marks obtained by student B in Sanskrit, Social Studies and English together and total marks obtained by E in these subjects together respectively ?
(a) 58 : 87
(b) 68 : 77
(c) 144 : 137
(d) 108 : 87
(e) None of these
9. What is approximate overall percentage obtained by D in the examination ?
(a) 72 %
(b) 78 %
(c) 69 %
(d) 75 %
(e) 81 %
10. Marks obtained by A in Social Studies are what percentage of the marks obtained by A in Sanskrit ?
(a) 173.94%
(b) 60.78%
(c) 164.51%
(d) 109.67%
(e) None of these
Solutions:

Physics

Biology

Maths

Sanskrit

Social Studies

English

Total

Marks obtained by A

90

45.6

95

31

51

63.75

376.35

Marks obtained by B

105

49.6

107.5

29.5

55.5

51

398.1

Marks obtained by C

87.5

69.6

97.5

28

60.75

53.25

396.6

Marks obtained by D

97.5

60

98.75

32

51.75

60

400

Marks obtained by E

72.5

54.4

113.75

38.5

54.75

60.75

394.65

Marks obtained by F

82.5

52

101.25

41.5

63.75

66.75

407.75

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