Questions covered in Basic

Review the question prompts below before starting the timed test. Try each problem independently, then use the interactive test to record your answers and review the worked solutions.

1. Which of the following is a singleton set?
2. If $A = \{1, 2, 3, 4\}$, then the number of subsets of $A$ is
3. If $A = \{x : x \text{ is a letter in the word 'FOLLOW'}\}$ and $B = \{y : y \text{ is a letter in the word 'WOLF'}\}$, then
4. The intersection of sets A and B is denoted by
5. If $A \subset B$, then $A \cup B$ is equal to
6. Write the set $A = \{x : x \text{ is an integer and } -3 \le x < 7\}$ in roster form.
7. If $A = \{1, 2, 3, 4, 5, 6\}$ and $B = \{2, 4, 6, 8\}$, find $A - B$.
8. Write all the subsets of the set $A = \{a, b\}$.
9. In a school there are 20 teachers who teach Mathematics or Physics. Of these, 12 teach Mathematics and 4 teach both Physics and Mathematics. How many teach Physics?
10. If $U = \{1, 2, 3, 4, 5, 6\}$, $A = \{2, 3\}$ and $B = \{3, 4, 5\}$, find $(A \cup B)'$.
11. In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee.
12. Case Study: In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows: French = 17, English = 13, Sanskrit = 15, French and English = 9, English and Sanskrit = 4, French and Sanskrit = 5, English, French and Sanskrit = 3. Find:
    (i) Number of students studying only French.
    (ii) Number of students studying exactly one language.
    (iii) Number of students studying at least one of the languages.