Investigative Worksheet 2: True, False and “Iffy” statements

Topic: Use of Venn Diagrams in Deductive Reasoning

Question 1

· All students of a certain school offered either Chinese or Malay (or both) for the examination.

· No students offered both Chinese and Tamil.

· Every student who offered Malay also offered art.

Based on the information above, decide whether each of the statement below it is true, false or “iffy”. For the “iffy” statement, try to make the statement more precise so that it is true.

a. Those who offered Tamil also offered Malay

b. Those who offered Tamil did not offer art.

c. Those who did not offer Chinese offered art.

d. Those who offered Chinese did not offered art.

e. Those who did not offer art offered Chinese.

f. Those who did not offer Malay offered Tamil.

Question 2

· In a certain school all boys either join a school society or play a game (or both).

· No students who are in the school choir play games.

· All those who are not in the school choir belong to a uniformed group.

Based on the information above, decide whether each of the statement below it is true, false or “iffy”. For the “iffy” statement, try to make the statement more precise so that it is true.

a. Those who do not belong to a uniformed group are members of a school society.

b. Those who are in the school choir are also members of a society.

c. Those who do not belong to a uniformed group play a game.

d. Those who do not join a school society sing for the school.

e. Those who do not sing for the school play a game.

f. Those who are not members of a school society belongs to a uniformed group.

Comments:

Question 1: T, F, T, “iffy”, T, F

Question 2: T, T, “iffy”, F, “iffy”, T