Question

Out of five questions in a paper, 1/20 students answered all questions and 1/20 none. Of the rest ¼ answered only four and 1/5 answered only one question. If 24 ½% of the total number of students answered only three questions and 200 answered only two. What was the total number of Students?

Answer 1

Answer:

400

Step-by-step explanation:

5 questions answered- 1/20

0 questions answered- 1/20

4 questions answered- 1/4*18/20=9/40

1 question answered- 1/5*18/20=18/100

3 questions answered- 24.5%=245/1000

2 questions answered- 200

1/20+1/20+9/40+18/100+245/1000=1/1000(13*25+18*10+245)=500/1000=1/2 of all students

So half of the students equal to 200, full number = 400