A group of 60 students participated in a mathematical quiz comprises of three questions. In the competition, all the student attempted at least one question. There were twenty students who did not attempt the first question. Two students attempted the first question only. Meanwhile, fifteen students failed to attempt the second question. Five students attempted the second and third question only. Ten students attempted the third question only. Finally, nineteen students answered all three questions. i) Draw a Venn diagram to represent the information above. ii) Find the number of students attempted the first and the second questions only. iii) Find the number of students attempted exactly two questions. iv) Find the number of students attempted at most one question.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A group of 60 students participated in a mathematical quiz comprises of three questions.
In the competition, all the student attempted at least one question. There were twenty
students who did not attempt the first question. Two students attempted the first question
only. Meanwhile, fifteen students failed to attempt the second question. Five students
attempted the second and third question only. Ten students attempted the third question
only. Finally, nineteen students answered all three questions.
i) Draw a Venn diagram to represent the information above.
ii) Find the number of students attempted the first and the second questions only.
i) Find the number of students attempted exactly two questions.
iv) Find the number of students attempted at most one question.
Transcribed Image Text:A group of 60 students participated in a mathematical quiz comprises of three questions. In the competition, all the student attempted at least one question. There were twenty students who did not attempt the first question. Two students attempted the first question only. Meanwhile, fifteen students failed to attempt the second question. Five students attempted the second and third question only. Ten students attempted the third question only. Finally, nineteen students answered all three questions. i) Draw a Venn diagram to represent the information above. ii) Find the number of students attempted the first and the second questions only. i) Find the number of students attempted exactly two questions. iv) Find the number of students attempted at most one question.
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