2.2 Venn to Text Statements Questions

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2.2 Venn to Text Statements Questions

Now let’s put what you learned about Venn to Text Statements Questions into practice!

This venn diagrams shows the number of friends of 3 people running for school council. Which of the following must be true?

1 Which of the following statements must be true?

A. Boris has more friends than Dominic.

B. Andrea has the least friends of the three.

C. If A is 2 or fewer, Andrea is the most popular.

D. There are more people who are friends with at least two of them than are friends with just one.

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0

Explanation

Andrea has 10+B friends whilst Boris and Dominic each have 7+A+B friends so will have fewer friends if A is 2 or fewer.

Post Comment

? Medicmind Tutor

Mon, 09 Aug 2021 11:23:04

Am I not seeing the full question?

jellytots Medicmind Tutor

Tue, 14 Sep 2021 18:10:26

no its all there b

Niyonzima Joseph Medicmind Tutor

Tue, 14 Mar 2023 12:33:24

It's too complicated task my friends/bethrens

Niyonzima Joseph Medicmind Tutor

Tue, 14 Mar 2023 12:34:22

It's too complicated my bethrens!!

The following diagram displays the number of flowers in the gardens of 100 citizens in Berkshire. Every home has at least one flower.

2 Which of the following statements must be true?

A. There are more gardens that have tulips than roses.

B. There are exactly 21 gardens with only one type of flower.

C. There is a garden with all four flowers.

D. There are more gardens that have roses than daffodils.

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2

Explanation

Gardens with Roses

= 9 + X + Y + 6 + 8 + 3

= 26 + X + Y

Gardens with Tulips

= 2 + 3 + 6 + 8 + X + Y

= 19 + X + Y

The second easiest to rule out is B because we just have to add up the numbers that are not in overlapping regions. Adding up 4 + 3 + 7 + 6 = 20 – B is false.

Looking at these statements, the easiest to rule out is C because we just have to check if there is a region that has all four circles overlapping or not. There is no such region, so zero gardens have all four flowers – C is false.

Gardens with Daffodils

= 4 + 2 + 9 + X

= 15 + X

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Mary Dysko Medicmind Tutor

Thu, 25 Feb 2021 20:48:25

C is also correct because the calculation of gardens with all 4 flowers is exactly zero.

Niyonzima Joseph Medicmind Tutor

Tue, 14 Mar 2023 12:37:09

Time is limit

This diagram shows information on a group’s favourite topping on pancakes.

3 Which of the following statements must be true?

A. If x is two more than y, banana was more popular than strawberry.

B. Strawberry was the most popular choice overall.

C. Chocolate only was the least favourite choice.

D. Chocolate was half as popular as strawberry.

3

2

Explanation

The values for each are as follows:
Chocolate – 7+x+y, Banana – 11+x, Strawberry – 12+y.
This means that if x is two greater than y then banana will be more popular than strawberry.
E.g. for x = 3 and y = 1, banana = 14 and strawberry = 13.

Post Comment

Rheure Medicmind Tutor

Tue, 18 Aug 2020 18:32:26

If x is two bigger than y means that, X could be 2 and banana 1. But the example given says 3 for X and 1 for y. This would be three times bigger, not 2.

Rheure Medicmind Tutor

Tue, 18 Aug 2020 18:33:02

If x is two bigger than y means that, X could be 2 and Y 1. But the example given says 3 for X and 1 for Y. This would be three times bigger, not 2.

Angela Medicmind Tutor

Sat, 09 Jan 2021 23:15:37

If x=2 and y=1 then they are equal thus not filling the requirement of the answer

Laiba Medicmind Tutor

Fri, 16 Jul 2021 14:57:39

Why isn't C the correct answer?

alyasa Medicmind Tutor

Sat, 24 Jul 2021 19:18:32

banana= 5+2+4+(2)-presuming x is only 1 bigger than y. This equals 13. strawberry= 6+2+4+(1)=13. both are the same therefore there must be a mistake with the answer...???

Maya Medicmind Tutor

Tue, 03 Aug 2021 09:29:05

The answer should be C because it said chocolate only Why does no one reply here

Anon Medicmind Tutor

Mon, 09 Aug 2021 13:20:18

The answer can not be C because chocolate only is 3, while banana and strawberry is 2. So banana and strawberry is the least favourite topping (of the values that we know, but x or y could also be less than 3)

Gloria Medicmind Tutor

Wed, 18 Aug 2021 20:07:54

x>y could be x=1 and y=0 which would make banana=11+1=12 and strawberry=12+0=12. As a result answer A is incorrect

hi Medicmind Tutor

Tue, 06 Sep 2022 16:31:09

x is 2 more than y and the explanation is quite clear. i dont understand why there is a confusion.

Here to help Medicmind Tutor

Wed, 26 Apr 2023 14:28:46

X is 2 more than Y, not equal to 2. Therefore if you take the value of Y as 1, X would be 3.

Lelouch Medicmind Tutor

Tue, 30 May 2023 03:38:03

It says 2 MORE than y, not 2 times bigger. Read the question write or you wont ever get into med.

jerisha Medicmind Tutor

Mon, 29 Jul 2024 16:37:30

unsure about this one

A group of applicants for interpreting jobs at a Czech company were asked to list which foreign languages they had a working proficiency in. The four most common were French, German, Spanish, and English.

French is represented by the rhombus.

Spanish is represented by the triangle.

German is represented by the oval.

English is represented by the rectangle.

4 Which of the following statements is correct?

A. More than half the group speak at least French and English.

B. Of those who speak English, at least five-sixths speak another language too.

C. Less than a fifth of the group speak only one foreign language.

D. An eighth of the group speak French, German and English but not Spanish.

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Explanation

The correct answer is B.

The total number of English speakers is 42.

Five sixths of this number would be 5/6 x 42 = 35 people.

Within the rectangle for English, we can see that 6 people do not speak another language.

Therefore, 36 people who speak English also speak another language, and option B is correct.

Post Comment

Keshavi Perera Medicmind Tutor

Wed, 06 Jan 2021 00:52:30

How is B right? The total is 42 and multiplied by 5/6 = 35 and then 42-35 = 7 not 6. Shouldn't the right answer be D?

anon Medicmind Tutor

Thu, 24 Jun 2021 05:11:12

i agree with keshavi

Eileen Medicmind Tutor

Thu, 11 Jul 2024 06:44:40

Why is A wrong?

Jerusha Medicmind Tutor

Mon, 29 Jul 2024 16:40:02

Unsure

QG magazine did a survey of their readers to assess their knowledge of Black-Tie attire brands. They asked if individuals were aware of four brands:

Hoge Bess, represented by the heart.
Tap Mon, represented by the hexagon.
Sleeters, represented by the trapezium
Heckitt, represented by the Square.

5 Which of the following statements is correct?

A. Of those who knew of Tap Mon, less than half had heard of Hoge Bess.

B. Of those who were aware of Sleeters, more than a third knew of all three of the other brands.

C. There is less than a two-thirds chance of a randomly selected participant knowing of Heckitt and at least one other brand.

D. Less than a quarter of individuals knew of just one of the brands.

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Explanation

Statement 3 is the correct answer. Here, it’s worth noting on your whiteboard the numbers included in the square (representing Heckitt) and at least one other. The keyword ‘at least’ tells us we should include overlaps with more than one other shape as well. This is 6 + 2 + 8 + 4 + 8 + 4 + 6. In total, this gives 38 people who know of both Heckitt and at least one other company. Overall, 60 people were surveyed which gives us a total of 38/60, which is a little less than 2/3 which would be 40/60.

Statement 1 is incorrect. We see that overall 31 people had heard of Tap Mon, but of these 17 had heard of Hoge Bess which is just over half.

Statement 2 is incorrect. Overall, 25 people had heard of Sleeters. There are only 8 that had heard of all 3, which is less than a third.

Statement 4 is incorrect. From previous analysis we know that overall 60 people were surveyed, and we see that only 17 knew of only one brand. This is more than 15, a quarter of 60.

Post Comment

elle Medicmind Tutor

Fri, 02 Sep 2022 07:25:20

these questions are really time-consuming. Is there any way I can do them faster?

A group of medical students are asked which of the following specialties they had considered.

6 Which of the following statements is true?

A. Of those who have considered general surgery, a quarter have considered nothing else.

B. Of those who have not considered psychiatry, the majority have considered general practice.

C. The acute medicine doctor would be correct to say that 20% were after only her job.

D. Of those who want to do acute medicine, 4/7ths have considered general surgery.

10

27

Explanation

Post Comment

GQ Medicmind Tutor

Sun, 25 Jul 2021 12:25:25

Explanation pls

Sami Medicmind Tutor

Fri, 30 Jul 2021 17:47:20

The total number of students is 30. 20% of 30 is 6 and the students who are only after acute is 6 as the pentagon does not overlap with any other job, hence the correct answer is C.

pussio Medicmind Tutor

Fri, 24 Sep 2021 01:26:02

pussio

andrej Medicmind Tutor

Sun, 05 Jun 2022 11:25:03

maybe we'll all be tutors if we practised hard enough

Anon Medicmind Tutor

Thu, 30 Jun 2022 07:11:13

Option C is simply an inappropriate option that doesn't make sense. We have been given no information that they "joked" and we do not know that 20% of others are actively pursuing "her" job

Explain Medicmind Tutor

Wed, 20 Jul 2022 15:13:42

How do you find the total number of students

Frieya Medicmind Tutor

Thu, 08 Sep 2022 08:58:30

The total number of medical students is 30 and of those wanting to do ONLY acute medicine is 6. 6/30=0.2=20%

Jane doe Medicmind Tutor

Sun, 25 Sep 2022 13:24:53

only 6 people want to do acute medicine and in total there are 30 people so it is 6/30 which is the same as 20%

A small school makes a diagram of the talents of a number of all Year Seven pupils.

7 Which of the following statements is incorrect?

A. The most common talent is being musical.

B. Of those who are musical, two thirds possess a minimum of one of the other talents.

C. More than a quarter are both sporty and artistic – including among other traits.

D. Less than a third have just one talent.

5

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Explanation

The answer is D. Be careful – this was asking for the statement which is incorrect. There are 84 individuals in the year. One third of this is 28. There are 33 individuals who are in just one shape. This means that greater than a third have just one talent and this answer is the incorrect statement.

A is incorrect. There are 48 individuals in the rectangle showing musicality. This is more than any of the others (Heart/Sporty = 35, Parallelogram/Artistic = 37, Crescent/Academic = 29).

B is incorrect. There are 48 musical pupils. 16 (or 1/3rd) possess just this talent so 32 (2/3rds) possess at least one more. This means that this statement is true.

C is incorrect. There are 84 pupils. The overlap between the heart and the parallelogram is equal to 10 + 7 + 6 = 23. This is more than ¼ of 84 so this statement is correct.

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Tinashe Medicmind Tutor

Fri, 04 Sep 2020 12:43:34

i'd like an explanation for this please.

Keshavi Perera Medicmind Tutor

Wed, 06 Jan 2021 03:22:12

This is what I think; I might be wrong though so feel free to correct me. A is correct because it has 48 kids in comparison to the other ones which have less (i honestly just guessed because it had 16). B is correct because 48-16(only musical) = 32 and 32/48 is two thirds C is correct because 23 kids satisfy being sporty and artistic among other qualities and this is more than 84(total number of kids)/4 This leaves only D to be incorrect therefore the right answer :)

8 Which of the following is not true of X?

A. They work in a C – Level job.

B. Their income is £25,000.

C. They do not have a policymaker role.

D. They went to medical school.

9

1

Explanation

The answer is B. X is within the circle and therefore must earn over £100k. This means that they cannot have the income of £25,000 so this is the statement which is not true for X. Initially C might be tempting. However, the statement states that do not have a policymaker role so this is true for X.

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9 Which of the following statements about J is correct?

A. J is not a qualified doctor.

B. J is a PhD candidate and Max Fax SHO.

C. J is not doubly qualified.

D. J is a Max Fax SHO and is qualified as both a doctor and dentist.

9

4

Explanation

C is the answer. Whilst there is overlap between qualified doctors and qualified dentists, J is not in the overlap. He is therefore not a qualified dentist and so is not doubly qualified.

Post Comment

Natasha Medicmind Tutor

Mon, 30 May 2022 01:20:12

I put that he is qualified as both a doctor an a dentist as he is a Max Fax SHO - could there be a further explanation?

Tom Medicmind Tutor

Wed, 06 Jul 2022 08:18:37

J isn't a PhD candidate either according to the diagram so B should also be correct....

Michelle Medicmind Tutor

Wed, 10 Aug 2022 22:05:30

Hi, Could you please explain to me why D is not the correct answer? Becaue J is in the overlapped area of doctor and dentist qualified as well as in the Max Fax SHO?

hey Medicmind Tutor

Wed, 07 Sep 2022 04:53:19

D is not correct because if you see closely, j is only a qualified doctor and not a qualified dentist.

hey Medicmind Tutor

Wed, 07 Sep 2022 04:55:23

B cannot be correct because it states that j is a phd candidate but j is not. The ques here is asking which of the following is correct for j not incorrect.

10 Hettie is job-hunting for a role with four criteria. She has found a job advertisement from Company B. Which of the following is true of the job?

A. It meets all four of Hettie’s criteria.

B. Hettie will take it if she prioritises pay above all else.

C. The job provides a role on a long-term basis in her location of preference.

D. Hettie will have a fixed 9-5 if she takes up job B.

3

Explanation

The answer is C. “Long-term basis” is a synonym for the permanent role and “location of preference” maps to desired location. Job B is in an overlap of these two criteria and therefore this is true.

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Mary has categorised her recipes. Included in this is her Challah recipe (C).

11 Which of the following statements about Challah is true?

A. It could be of Arabic origin.

B. The mixture is fried.

C. It is not a type of Jewish bread.

D. Mary needs to ensure she has both an oven and yeast to cook it.

5

7

Explanation

D is the answer. Challah is in the overlap between all four of the shapes. Therefore, it does need an oven to be cooked and also needs yeast. It is Jewish so cannot be Arabic nor not a Jewish type of bread. It is oven-cooked rather than fried.

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Tinashe Medicmind Tutor

Fri, 04 Sep 2020 12:47:38

i selected the correct answer but it still came up wrong

Nelia Medicmind Tutor

Sun, 06 Sep 2020 20:47:36

I have the same problem as Tinashe

shannon Medicmind Tutor

Thu, 04 Mar 2021 05:31:50

This is still a problem

12 Which of the following statement is not true of car V?

A. It is an electric car costing less than £40,000.

B. Its top speed could be 99mph.

C. It comes recommended by professionals.

D. It a recommended car for less than £50,000

4

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Explanation

The answer is A. It is an electric car. However, it is priced less than £45,000 rather than less than £40,000. This might raise questions about option D. However, option D offers a threshold greater than that in the key. If it is less than £45,000 then it is by definition less than £50,000.

Post Comment

Maya Medicmind Tutor

Tue, 03 Aug 2021 09:32:11

It could also be B

J Medicmind Tutor

Sat, 07 Aug 2021 15:45:44

It couldn't be B as its top speed is 100 or less. 99 is less than 100, but the question is asking what is *not* true.

Abdulrahman Medicmind Tutor

Sat, 18 Dec 2021 12:30:27

What if it costs 39k? we literally dont know thats why we cant say its "not true"

tami Medicmind Tutor

Wed, 26 Jul 2023 20:15:43

couldn't the car cost 41k as the category says less than 45k not less than 40k