Problems based on Numbers Test 1

Question : 15 of 40

Marks: +1, -0

A test paper consists of 5 questions. 5% of the students who took the test solved all the questions and 5% did not solve any of the questions. Of the remaining students, 25% solved only 1 question and 20% solved 4 questions, while 25% solved 2 questions. If the number of students who solved 3 questions is 216, what is the total number of students who took the test?

Validate

Solution:

Let the number of students = x
5% of students solved all questions and 5% students did not solve any question.

Percentage of Students		Number of Questions Solved
Among 100%	5%	5
Among 100%	5%	0
Among90%	25%	1
	20%	4
	25%	2

Total percentage of students = 25% + 20% + 25% = 70%
Number of students

=30/100×90/100x=216

x=2160000/{90×30}=800

students

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