General Education Diploma (GED Oman) · Pure Mathematics

Sets and Logic

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

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In a group of 50 students, 31 play tennis, 26 play badminton and 10 play neither. How many play both?
In a group of 60 students, 40 play tennis, 35 play badminton and 4 play neither. How many play both?
If $A = {2, 4, 6, 8}$ and $B = {1, 2, 3, 4}$ , find $A \cup B$ .
If $n (A) = 12$ , $n (B) = 9$ and $n (A \cap B) = 4$ , find $n (A \cup B)$ .
What is the converse of the statement 'If a number is divisible by 4, then it is even'?
How many elements does the power set of ${a, b, c}$ have?

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