Question

At a particular university, 44% of the students are freshmen, 25% are sophomores, 16% are juniors, and 15% are seniors. Of the freshmen, 35% have not declared a major. Of the sophomores, 25% have not declared a major. Of the juniors, 10% have not declared a major, and of the seniors, 3% have not declared a major. Of the students who have not declared majors, what percent (rounded to the nearest percent) are freshmen?A. 35%B. 65%C. 44%D. 15%

Answer 1

Answer: Option 'D' is correct.

Explanation:

Since we have given that

Percentage of students are freshmen = 44%

Percentage of students are sophomores = 25%

Percentage of students are juniors = 16%

Percentage of students are seniors = 15%

Of the freshmen, 35% have not declared a major.

So, Percent of the freshmen who have not declared a major is given by

`(44)/(100)* (35)/(100)* 100\\\\=(1540)/(100)\\\\=15.4\%\\\\\approx 15\%`

Hence, Option 'D' is correct.