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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.
1. In which of the 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 selectedin 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% |
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3. The number of students selected in the 2012 is how much percentage more than that of the numberof 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 - 33750/33750x 100 = 6750 x 100/33750 = 20% |
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4. What is the ratio of the number of students who are not selected in the year 2011 to the number ofstudents 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 |
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5. What is the difference between the average number of students not selected and the averagenumber 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 |
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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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