Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the questions.
CAUTION: Do Not mark your answer unless you consider both the statements carefully.
How many students from the class secured First Class ?
I. The number of students securing First Class was equal to the number of students failed and was one-third of the number of students passed in the class of 120 students.
II. $$\frac{1}{4}$$ of the girls, i.e., 10 and $$\frac{1}{4}$$ of the boys secured 1st class in the class of 120 students.
I : The no. of students securing 1st class was one-third the no. of students passed in a class of total students 120. Since, we do not know the no. of passed students.
Thus, I alone is not sufficient.
II : Let total no. of girls in a class of 120 students = x
One-forth of them i.e. 10 secured first class.
=> x/4 = 10 => x = 40
=> No. of boys in the class = 120 - 40 = 80
Now, no. of boys securing 1st class is one-forth => 80/4 = 20
=> Total students securing 1st class = 10 + 20 = 30
Thus, II alone is sufficient.
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