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2.5 Implicit Text to Venn
Your Score:
Average Score of All Users:
You performed better than of students
Section Breakdown
| Your Score | Average of all Users | Percentile | |
|---|---|---|---|
Your score:
Average score:
You performed better than of students
A group of 60 people were asked about their vegetable preferences. Three-quarters liked peas whilst two-thirds liked sweetcorn. All participants liked at least one vegetable
Explanation
The correct answer is A.
After purchasing a laptop 30 people surveyed were asked how they compared and purchased different models.
15 bought through an online store.
10 said they used a high street shop.
5 used other methods.
Of those who bought online, 60% used an online review comparison site.
20% of the rest did so too.
Explanation
The correct answer is D. The Venn diagram across sets out the scenario. x + y are equal to 20% of 10+5 so are equal to 3. This means that in total it is 9+3 which equals 12.
A group of 75 musicians at a conservatoire reported the following:
30 owned a flute.
20 owned at least an oboe and a guitar with 5 owning all 3.
15 owned an oboe only.
12 owned a guitar only.
Explanation
The correct answer is D.
The first area to fill in is the centre section which has 5.
Then we can fill in the rest of the overlap between the oboe and the guitar which is 20 – 5 = 15.
Now we can fill in the guitar only and the oboe only sections from the final two bullet points.
We do not know the exact split of the oboe owners but we know that x + y + z = 25 (because 30 – 5 = 25).
We do not know the exact split of the oboe owners but we know that x + y + z = 25 (because 30 – 5 = 25).
75 – 25 – 5 – 15 – 15 -12 = 3 and so there are 3 people who own none of the three instruments.
There are 28 people in a room.
When asked about rugby, 12 said they liked football and 6 people said they liked rugby.
Explanation
The correct answer is A. The maximum number of people who like one but not both is 18 which would leave 10 who like neither. The maximum of people who like both is 6 which would give 6 people liking football and 6 people liking both. This would leave 16 people liking neither.
There are 120 people in a school year.
100 have smartphones
25 have laptops
18 have neither.
Explanation
The correct answer is C.
100 – x + 25 – x + x + 18 = 120
143 – x = 120
x = 23
People in a focus group of 50 reported the following:
25 of them owned Chevrolets
6 owned only a Tesla
5 owned a Tesla and a Range Rover
4 people owned only a Range Rover
Explanation
The correct answer is C.
30 people had vegetable with their dinner. They could have a combination of 1, 2 or all 3 of the vegetables available.
4 only had broccoli
5 had both sweetcorn and peas.
2 others had all three.
7 had peas only
18 had peas in total
17 did not have broccoli
Nobody had none of the three vegetables.
Explanation
The correct answer is C.
First we can fill in the central section with 2.
We can now fill in the broccoli only and the peas only.
We can now fill in both the sweetcorn and peas overlap and the peas and broccoli overlap as 18 – 7 – 5 – 2 = 4.
30 – 17 = 13.
4 + 4 + 2 = 10.
13 – 10 = 3 so there is 3 in the broccoli and sweetcorn overlap.
x + 5 + 2 + 3 + 7 + 4 + 4 = 30.
x + 25 = 30
x = 5 so the answer option is C.
There are 25 people in a block of flats.
14 drive convertibles
3 drive a sports car
Explanation
The correct answer is C. The minimum overlap is 0 in which case 8 people have neither vehicle. The maximum overlap is 3 in which case 11 have neither.
There are 75 people in a library.
20 more people have borrowed a book and used the wifi than have used the wifi only.
All the people have used at least used one service
Five fewer people only borrowed a book than only used the wifi.
Explanation
The correct answer is B. The Venn diagram can be drawn as opposite.
This gives 3X + 15 = 75. Therefore 3X = 60 and X = 20.
120 people had sorbet for dessert. The could have a combination of 1, 2 or 3 of the flavours available.
20 only had mango
5 had mango and lemon only
35 had all three
67 people had mango in total.
4 times as many people had at least two flavours than had mango only
8 more people had lemon only than had lemon and mango.
Explanation
The correct answer is A.
From the first line we can fill in mango only as 20.
From the next line we know that the intersection of mango and lemon is 5.
We are told that 35 had all three.
If 67 people had mango in total 67-35-5-20 – 7 so seven must be the overlap between passionfruit and mango.
4 times as many people had two flavours than the 20 who had mango only so the intersections must equal 80. This means that the final overlap is equal to 33.
5+8=13 so the only lemon section is equal to 13.
120-33-35-7-20-5-13=7 so 7 had passionfruit only.
Review Screen
Instructions
Below is a summary of your answers. You can review your questions in three (3) different ways.
The buttons in the lower right-hand corner correspond to these choices:
1. Review all of your questions and answers.
2. Review questions that are incomplete.
3. Review questions that are flagged for review. (Click the 'flag' icon to change the flag for review status.)
You may also click on a question number to link directly to its location in the exam.
Section
Final Answer Review Screen
Instructions
This review section allows you to view the answers you made and see whether they were correct or not. Each question accessed from this screen has an 'Explain Answer' button in the top left hand side. By clicking on this you will obtain an explanation as to the correct answer.
At the bottom of this screen you can choose to 'Review All' answers, 'Review Incorrect' answers or 'Review Flagged' answers. Alternatively you can go to specific questions by opening up any of the sub-tests below.
Section
TI-108