question_answer 1)

In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class, was a greater fraction of students getting first class?

Answer:

Fraction of students, who got first class in class A \[180=\times \times \times \times \] [\[360=\times \times \times \times \times 2\]HCF of 20 and 25 = 5) \[360=2\times 2\times 3\times 3\times 5=180\] Fraction of students, who got first class in class B \[\therefore \] [\[\frac{180}{360}=\frac{180\div 180}{360\div 180}=\frac{1}{2}\]HCF of 24 and 30 = 6] \[\frac{180}{360}\] \[\frac{1}{2}\] \[\to \] So, it is clear that an equal number of students got first class in both the classes.