Junior Cycle (Ireland) · Mathematics

Sets and Logic

7 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 7 questions

In a group of 50 students, 34 play tennis, 29 play badminton and 4 play neither. How many play both?
In a group of 80 students, 37 play tennis, 43 play badminton and 2 play neither. How many play both?
In a group of 40 students, 15 play tennis, 25 play badminton and 5 play neither. How many play both?
In a group of 60 students, 37 play tennis, 30 play badminton and 2 play neither. How many play both?
In Junior Cycle set theory, $A = {a, b, c, d}$ and $B = {c, d, e}$ . Find $A \cup B$ .
For two sets, $# A = 12$ , $# B = 9$ and $# (A \cap B) = 4$ . Find $# (A \cup B)$ .
How many subsets with exactly 2 elements does the set ${p, q, r, s}$ have?

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