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Question 48.If group C contains 8 questions and group B carries at least 20% of the total marks, which of the following best describes the number of questions in group B?


  1. (a) 11 or 12

  2. (b) 12 or 13

  3. (d) 14 or 15
  4. (c) 13 or 14


Solution

The correct option is D

(c) 13 or 14


(c)

Explanation:

C = 8

B = 12 (option 2)

Total marks = 80 +24 + 24 = 128

B = 24, 20% of 128 = 25.6

(12) not satisfying

Option(3) C = 8, B = 13, A = 79

Total Marks = 79 + 26 + 24 = 129

20% of 129 = 12.9 × 2 = 25.8

Marks of B = 13 × 2 = 26

C = 8, B = 14, A = 78

Total Marks = 78 + 28 + 24 = 130

20 % of 130 = 26

Marks of B = 2 × 14 = 28

Check for A (60% of total) = 130 × 0.6 = 78

Option (4); C = 8, B = 15, A = 77

Total Marks = 77 + 30 + 24 = 131

20% = 26.2 and not 26.1

B marks = 30 satisfying

60 % of total = 0.6 × 131 = 78.6

not satisfying since less than 60%.

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