Comprehension

Study the table carefully to answer the questions that follow: 
Number of Pass and Fail Students, of five different classes, in a year from various schools-
Schools

Classes

VI

VII

VIII

IX

X

 PassFailPassFailPassFailPassFailPassFail

A

64

12

56

12

82

09

60

14

66

10

B

55

18

64

16

88

07

64

11

73

12

C

53

16

80

10

58

12

63

09

63

18

D

62

11

62

14

64

13

61

07

53

17

E

70

15

76

17

78

10

52

13

79

09

F

58

08

72

13

72

14

45

12

75

11

Question: 1

What is the average number of fail students from class IX from all the schools together?

Updated On: Oct 13, 2024
  • 19
  • 17
  • 13
  • 9
  • 11
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The Correct Option is

Solution and Explanation

From the question,
Average number of fail students from class IX = \(\frac{14+11+9+7+13+12}{6}\)
\(\frac{66}{6}\)
= 11

The correct option is (E): 11
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Question: 2

What is the respective ratio of the total number of pass students of class VI to that of class VIII from all the schools together?

Updated On: Oct 13, 2024
  • 9 : 11
  • 181 : 221
  • 81 : 123
  • 21 : 32
  • None of these
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The Correct Option is B

Solution and Explanation

From the question,
The ratio of the total number of pass students of Class VI to that of Class VIII from all schools together = \(\frac{\text{Total pass students in Class VI}}{\text{Total pass students in Class VIII}}\)
\(\frac{362}{442}\)
\(\frac{181}{221}\)
= 181 : 221

The correct option is (B): 181: 221
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Question: 3

Which class has maximum number of pass students from all the schools together?

Updated On: Oct 13, 2024
  • VIII
  • VII
  • IX
  • X
  • None of these
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The Correct Option is A

Solution and Explanation

From the question,
Passed Class VI Students = 64 + 55 + 53 + 62 + 70 + 58 =362
Passed Class VII Students = 56 + 64 + 80 + 62 + 76 + 72 =410
Passed Class VIII Students = 82 + 88 + 58 + 64 + 78 + 72 =442
Passed Class IX Students = 60 + 64 + 63 + 61 + 52 + 45 = 345
Passed Class X Students = 66 + 73 + 63 + 53 + 79 + 75 = 409
= Class VIII have highest passed students

The correct option is (A): VIII
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Question: 4

What is the average number of pass students of all the classes together of school E?

Updated On: Oct 13, 2024
  • 80
  • 74
  • 71
  • 65
  • 63
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The Correct Option is C

Solution and Explanation

From the question,
The Total number of  pass students of School E = 70 + 76 + 78 + 52 + 79 = 355
Average = \(\frac{355}{5}\)
= 71

The correct option is (C): 71
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Question: 5

What is the respective ratio of the total number of fail students of class IX to the total number of fail students of class X from all the schools together?

Updated On: Oct 13, 2024
  • 2 : 1
  • 3 : 4
  • 4 : 5
  • 6 : 7
  • None of these
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The Correct Option is D

Solution and Explanation

From the question,
Fail Students in Class IX = 14 + 11 + 9 + 7 + 13 + 12 = 66
Fail Students in Class X = 10 + 12 + 18 + 17 + 9 + 11 = 77
Ratio = \(\frac{66}{77}\)
= 6 : 7

The correct option is (D): 4 : 5
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