The geometric shapes expressing the sets are called ** vane diagrams . **

The questions asked in this chapter are mainly of two types-

(i) Classify groups of items given through diagrams.

(ii) Finding the number of items or numbers under a particular class through numbers or letters.

** Classification of groups of items given through diagrams
**Under this, the first questions are given in groups of some objects and some diagrams are given below. Contestants have to know the diagram through these diagrams in question, which classify the group of items given in the question in complete and correct manner or denote the relation between them.

The purpose of such questions is to examine the ability of the candidates to understand certain sections and illustrate them in a graphic interpretation. The candidate generally has to decide whether the given fact is related to the size of the set or the subset or it will be related to any other set. The facts can also be related to aggregates or subsets. Although the language and language of the theory set in question is not used

Now take a closer look at the relations below.

The diagram given ** (a)** indicates that one class is fully contained in another but is not mixed.

** (b) **The diagram illustrates that no class is fully contained in each other but there are some common members in both.

** (c) **The diagram provided indicates that no members are equal.

** Find out the number of items or numbers coming under a particular class through numbers and letters** The questions asked under this are given in a few diagrams, each of which is different in different places. – Different numbers or letters are denoted. Each diagram represents the different class. Candidates have to know the number of items or items in a particular class through the same diagram or the numbers given in it. This method is used on the basis of differences and elements. These are governed by different executive rules. This separate set of elements is given only when it is related to specific operating rules or to set up a new set based on more than two separate sets, their union and Intersection are of two types. If two sets are P and Q then P Union Q means that all elements of P and Q will be included in that set, whereas P Intersection Q will contain only those that are identical in P and Q. When a notification is presented as a set, then the process of Data Presentation is on. A set is a collection of elements, which is operated by the same operating rules. For example, the set of tennis players is different from the football players’ set.

For now, to clarify the draft of the questions and to clarify the above facts, please take a closer look at the key examples below.

**TYPE 1
**

**Example 1**. Which of the following Wayne diagrams, does the Wayne diagram correctly represent the relation between the three students given?

** Solution: **(a) Some students may be fans of cricket and tennis fans. Some cricket fans, students and tennis fans can be there. Some tennis fans, cricket players and students can also be there. So the diagram given in the option (a) is appropriate.

**→ Instructions (e.g. 2-5):** In each of the questions given below, three types of items have been given. You have to find out that one of the four numerical diagrams below is a diagram, which correctly denotes the relation of the group of three classes given in question.

2. Science, Physics, Chemistry

3. Doctors, Men, Artists

4. Creatures, humans, planets

5. Gold, Jewelry, Silver

**Solution: 2. **(a) Because both physics and chemistry are separate subjects but both come under science.

** 3. **(c) Some male artists can be and some male doctors can be, some artists can be doctors and some doctors can be the artist.

** 4. **(b) Man is an organism, while the planet is a member of the separate solar system from these two.

** 5. (d) Jewel is made of gold, silver, and some ornaments are of other metals too.**

**TYPE 2
**

**Example:** If the ‘circle’ denotes tall persons, ‘triangle’ soldiers and ‘class’ strong persons, then what is the number given under the following diagram only’ Strong soldiers’?

** Solution:** (c) The circle represents the tallest persons, the ‘triangle’ soldiers and the ‘class’ strong persons, while we have to know the number that is the strongest soldier, ie the strongest and the soldiers Denotes So in the given diagram we will know the number which is equal in the square and the triangle. Here we find that such a number is only 6 which is similar in both the square and the triangle. Hence the number ‘6’ will represent strong technicians.

**TYPE 3 **

** Example: **While dissecting each other in the diagram below, the combined triangle, square and circle are represented, which are respectively respectively. In the following diagram, which of the G areas, which is marked in the following diagram, denotes such individuals, who are ‘urban and educated but not hard-working?’

Find that area from the given option.

** Solution: **(c) Here are the people who are urban and educated but not hard-working, that means we have to know such a person who is only urban and educated as ‘diagram’ in diagram The person educated from the city and the ‘circle’ has been defined, so to know the urban and educated person, we will pay attention to the triangle and the circle in the given diagram that these two are Here is the letter which is equal in both of these, we are seeing here that the letter is just D which is similar to the triangle and the circle. Hence the area “D” denotes the urban and educated person.

**TYPE 4
**

**→ Instructions (e.g. 1-4)** In the following diagram, the ‘Circle’ has been defined by the unemployed, the hard-working class, the triangle to the rural, or the intelligent persons from the rectangle. Carefully study the following diagram and answer the questions based on these.

** 1. **People who are unemployed, hardworking and intelligent, but not rural, in what diagram has been defined in the diagram?

**2.** Such people who are not rural and neither unemployed nor intelligent but hardworking, in which field of diagrams they have been denoted?**
(a) **11

** 3. **Such villages, which are hardworking and unemployed but are not intelligent, in which field of diagrams they are denoted?**
(a) **4

** 4.** A rural hardworking person who is neither unemployed nor intelligent, in what field of diagrams have been defined?**
(a) **3

** Solution:
1. **(d) Here we have to know such an area, which represents the unemployed, hardworking and intelligent person. So we will see which is the area which is only in the ‘circle’, ‘square’ and ‘rectangle’. Here we are seeing that such an area is just ‘9’ which comes under ‘circle’, ‘square’ and ‘rectangle’, hence the unemployed, hardworking and intelligent person has been defined by area ‘9 “.

** 2.** (c) Here we only have to know the area which denotes only the hard-working person. In the diagram, the hardworking person has been denoted by ‘class’. So we will see that there are such areas in the diagram that come under class only. Here we are seeing that such an area in the diagram is only ’12 ‘which comes under the class. Hence the hardworking person has been denoted by the area marked ’12’.

** 3. **(d) Here we have to know the area which is rural, hardworking and unemployed but not intelligent, that is, we should know the area that represents rural, hard-to-work and unemployed all three areas. Since the ‘rural’ in the diagram, from the triangle, the ‘diligent’ is defined by the square and the ‘unemployed’ is a circle, so in the diagram we will know the number representing the area which is similar to the triangle, square and circle Yes, here we find that such a number is only ‘2’. Thus, in the diagram, the area ‘2’ represents a group of rural, hard-working and unemployed people.

** 4. **(d) Here we have such a rural laborer who are neither unemployed nor

Are wise, have to know the area to display. Therefore, we will know the area which represents only ‘rural’ and ‘hard working’ individuals. Since the diagram has defined the ‘triangle’ from the villagers and the ‘class’ to the hard working. So we will know the area that is in the diagram, which is similar to the triangle and square only. When we meditate here, we find that there is no such symbolic area which is similar to the triangle and square. Therefore, only the rural and hardworking person has not been described together in any field.

** → Note: **The above questions can also be sorted on the basis of the following chart, under which the same number is to be included and which is not to be included, will not include the number coming under it.

Circle-unemployed-1, 2, 3, 6, 7, 8, 9, 15

Rectangle-wise 1, 8, 9, 10, 11, 14

Class-diligent -1, 2, 3, 9, 11, 12, 14

Triangle-Graduate-1, 2, 5, 6, 14

** Example 5. **By carefully studying the diagram given below, let’s find out that the young man who works but is not educated, who is the following?

** (a) **3 or 7 or 6

**Solution: **(a) With the question, we have to find a young man who does a job but is not educated. So in the given diagram we will see a number which is similar in only two diagrams. Here, we find that such numbers are only ‘3’, ‘7’ and ‘6’ which are similar in two diagrams, 3 or ‘7’ or ‘6 are young people who are employed but educated Are not there.

**TYPE 5
**

**→ Instructions (e.g. 1 – 2)** In the given question answer the following questions on the basis of the large triangle politician, small triangle teacher, circle graduate, shows the member of quadrangle parliament.

** 1. **Which of the following politicians is a graduate but not a member of parliament?

**2. **Which of the following politicians, neither teachers nor graduates?**
(a)** III, IV

** Solution: **

** 1. **(d) Because here we see such a politician who is a graduate but not a member of the Parliament, Having to know the area with Therefore, we have to know the region which represents the politician and the undergraduate area except the member area of the Parliament. It is not said in the question whether a politician is a teacher or not; therefore, a politician graduate in the field of small triangle addressing the teacher, he will be valid, but he should not be in the area of the area, i.e. Parliament, thus, We find that only II and. This is the only area which indicates that politicians are graduates but not a member of the Parliament.

** 2. **(b) Because here we have to know the area that displays such a politician who is neither a teacher nor a graduate. Therefore, we have to leave the teacher and graduate to know the area of the politician, in the above diagram, the teacher has been defined by ‘small triangle’, graduation with ‘circle’ and politician ‘big triangle’. But we have to know the area with the big triangle except the ‘small triangle’ and ‘circle’. Thus we find that such areas are only IX and Vill. Therefore, IX and VIII are areas which address a politician who is neither a teacher nor a graduate.

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