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A teacher has partial data of the student result: Sex Grade A Grade B Grade C Total Girls 40 Boys 5 Total 30 The other information available is: 1. Half the students have grade A or B 2. \(50 \%\)…

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A teacher has partial data of the student result:

Sex Grade A Grade B Grade C Total
Girls 40
Boys 5
Total 30


The other information available is:
1. Half the students have grade A or B
2. 50%50 \% of the students are girls
3. 14\frac14th of boys have grade C

The numbers of girls who have grade B and number of girls who have grade C are:
  1. 5, 30
  2. 30, 5
  3. 10, 30
  4. 30, 10

Answer and explanation

Correct answer: A - 5, 30
Girls = 40 = 50% so total = 80, boys = 40. Boys grade C = 40/4 = 10, boys A = 5 so boys B = 25. Total B = 30 so girls B = 5. A+B = half of 80 = 40, so total A = 10, girls A = 5, girls C = 40-5-5 = 30. Girls B, C = 5, 30.

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