Set notations and Venn Diagrams

The universal set contains elements 1, 2, 3, 4, 5 ,6 and 7.

Set A contains even numbers.

What are the elements not in A.

• {2, 4, 6}

• {1, 2, 3, 5, 7},

• {2, 3, 5, 7}

• {2, 3, 5, 7}

• {2, 4, 6}

• {1, 2, 3, 5, 7},

• {2, 3, 4, 5, 6, 7}

• {2, 3, 5, 7}

• {2}

• {1, 2, 3, 5, 7},

• {2, 3, 4, 5, 6, 7}

• {2, 3, 5, 7}

The universal set contains elements 1, 2, 3, 4, 5 ,6 and 7.

Set A contains even numbers.

Set B contains prime numbers.

What is n(A)?

• 2

• 3

• 4

• 7

• {2, 4}

• {2, 3, 4, 6}

• {2, 4, 6}

• {2, 3, 4, 5, 6, 7}

• 1

• 2

• 3

• 4

• B' = A

• {3, 8, 9}

• {2, 4, 6}

• {2, 3, 4, 6, 7, 8, 9}

A gym runs two fitness classes kickboxing and yoga.

On Saturday, 100 people visited the gym.

23 people attended the kickboxing class.

14 people attended both classes.

35 people did not attend either classes.

How many people attended the yoga class?

• 28

• 42

• 63

• 37

A gym runs two fitness classes kickboxing and yoga.

On Saturday, 100 people visited the gym.

23 people attended the kickboxing class.

14 people attended both classes.

35 people did not attend either classes.

A person who attended the gym is selected at random.

Find the probability that this person attended exactly one class.

• 51/100

• 14/100

• 65/100

• 23/100

Jerome asked 80 people which sports they enjoy from Football, Hockey and Rugby.

How many people enjoy all three sports?

• 89

• 67

• 12

• 31