Decision Making - Venn Diagram Practice

The diagram gives information about the number of members at a sports club who participate in different activities.

Which one of the following statements is true?

1. More members play tennis than go running.
2. The number of members who participate in exactly two activities is 14.
3. Fewer than 20 members participate in swimming.
4. The total number of club members is 60.

The Venn diagram shows information about 49 students and the subjects they study.

Which one of the following statements is true?

1. More students study Maths than study English.
2. 4 students study all three subjects.
3. The number of students who study exactly one subject is 35.
4. More than 10 students study both Maths and Science but not English.

The diagram shows information about 80 teenagers and which social media platforms they use. 11 teenagers do not use either platform.

Which one of the following statements is true?

1. More teenagers use only Instagram than use only TikTok.
2. More than half of all teenagers use TikTok.
3. The number of teenagers who use both platforms is 18.
4. The same number of teenagers use only Instagram as use only TikTok.

60 households were surveyed about whether they own dogs, cats or fish.

• 35 own dogs.
• 28 own cats.
• 15 own fish.
• 12 own dogs and cats.
• 5 own dogs and fish.
• 4 own cats and fish.
• 2 own all three.

Which of the following diagrams best represents the data above?

1. Dog-only=20, Cat-only=14, Fish-only=8, Dog∩Cat only=10, Dog∩Fish only=3, Cat∩Fish only=2, all three=2.
2. Dog-only=20, Cat-only=14, Fish-only=8, Dog∩Cat only=12, Dog∩Fish only=5, Cat∩Fish only=4, all three=2.
3. Dog-only=20, Cat-only=14, Fish-only=8, Dog∩Cat only=12, Dog∩Fish only=5, Cat∩Fish only=4, all three=3.
4. Dog-only=23, Cat-only=16, Fish-only=9, Dog∩Cat only=10, Dog∩Fish only=3, Cat∩Fish only=2, all three=1.

The diagram gives information about the number of people in a travel club who have visited certain countries.

How many people in the travel club have visited at least two of the three countries?

1. 11
2. 14
3. 17
4. 19

80 students were surveyed about the languages they speak.

• 50 speak English.
• 30 speak French.
• 25 speak Spanish.
• 15 speak English and French.
• 10 speak English and Spanish.
• 8 speak French and Spanish.
• 5 speak all three languages.

Which of the following diagrams best represents the data above?

1. English-only=30, French-only=12, Spanish-only=12, E∩F only=10, E∩S only=5, F∩S only=3, all three=5.
2. English-only=30, French-only=12, Spanish-only=12, E∩F only=15, E∩S only=10, F∩S only=8, all three=5.
3. English-only=25, French-only=10, Spanish-only=10, E∩F only=10, E∩S only=5, F∩S only=3, all three=5.
4. English-only=30, French-only=14, Spanish-only=10, E∩F only=10, E∩S only=5, F∩S only=3, all three=5.

The Venn diagram shows information about 55 members at a gym and the classes they attend.

How many more members attend only Yoga than attend all three classes?

1. 1
2. 16
3. 17
4. 18

100 students were asked which university clubs they belong to.

• 40 belong to Drama.
• 35 belong to Music.
• 30 belong to Art.
• 12 belong to Drama and Music.
• 8 belong to Drama and Art.
• 10 belong to Music and Art.
• 4 belong to all three clubs.

Which of the following diagrams best represents the data above?

1. Drama-only=24, Music-only=17, Art-only=16, D∩M only=8, D∩A only=4, M∩A only=6, all three=4.
2. Drama-only=24, Music-only=17, Art-only=16, D∩M only=12, D∩A only=8, M∩A only=10, all three=4.
3. Drama-only=20, Music-only=15, Art-only=14, D∩M only=12, D∩A only=8, M∩A only=10, all three=4.
4. Drama-only=24, Music-only=17, Art-only=16, D∩M only=12, D∩A only=8, M∩A only=10, all three=6.

The Venn diagram shows information about 96 patients at a clinic and their blood types.

Which one of the following statements is true?

1. More than 30 patients have Type O blood only.
2. Exactly 18 patients have two blood type markers.
3. The number of patients with Type A blood is greater than the number with Type B blood.
4. The total of patients with at least one blood type marker is 100.

The diagram gives information about 80 commuters and whether they use a car or train to travel to work. 12 commuters do not use either a car or a train.

How many more commuters use only a car than use only a train?

1. 6
2. 11
3. 17
4. 21