# What Do You Know About Projective Set?

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Questions: 10 | Attempts: 124  Settings  Projective Set is also referred to as ProSet, which is derived from the conventional game of Set. It is a card game played in real life setting and the deck comprises of colored dots. The Projective Set has both been studied recreationally as well as mathematically. So, to learn more about this game, take the quiz below.

• 1.

### How many hits does the Projective Set card have?

• A.

3

• B.

5

• C.

6

• D.

8

C. 6
Explanation
The Projective Set card has 6 hits.

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• 2.

### How many cards do we have altogether?

• A.

63

• B.

65

• C.

67

• D.

70

A. 63
Explanation
The correct answer is 63 because it is the only option given that is less than 70. The other options, 65, 67, and 70, are all greater than 63.

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• 3.

### How many cards form a set?

• A.

3

• B.

5

• C.

7

• D.

10

A. 3
Explanation
A set is formed by three cards. This is because in a set, each card must have the same number of symbols (one, two, or three), the same shape (oval, squiggle, or diamond), the same shading (solid, striped, or open), and the same color (red, purple, or green). Therefore, three cards are needed to ensure that all these criteria are met and form a set.

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• 4.

### For a set to be formed, how many dogs of each color must appear?

• A.

0

• B.

2

• C.

Either 2 or 0

• D.

Both 2 and 0

C. Either 2 or 0
Explanation
In order for a set to be formed, there must be either 2 dogs of each color or no dogs at all. This is because a set is a group of objects that have something in common, and in this case, the common factor is the color of the dogs. So, either there must be 2 dogs of each color to form a set or there can be no dogs at all, which also forms a set with the common factor being the absence of dogs.

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• 5.

### How many cards form a set if the number of color dots is an even number?

• A.

2 or more

• B.

3 or more

• C.

4 or more

• D.

5

C. 4 or more
Explanation
In a set of cards, each card can have 0, 1, 2, or 3 color dots. If the number of color dots is an even number, it means there can be 0, 2, or all 4 color dots on each card. Therefore, to form a set, we need at least 4 cards, as each card can have a different combination of color dots. Hence, the answer is 4 or more.

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• 6.

### In the finite vector space, what is the Projective Set card considered as?

• A.

Non-zero vector

• B.

Zero vector

• C.

Scalar

• D.

Vector and Scalar quantity

A. Non-zero vector
Explanation
The projective set card in a finite vector space is considered as a non-zero vector. This means that it is a vector that has a magnitude and direction, but it is not equal to zero. In a finite vector space, the projective set card represents a specific direction and magnitude within the space, indicating that it has a non-zero value.

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• 7.

### What is the collection of all vectors termed as?

• A.

Infinite projective space

• B.

Finite projective space

• C.

Zero projective space

• D.

Negative projective space

B. Finite projective space
Explanation
The collection of all vectors is termed as the finite projective space. This term refers to a mathematical concept that represents the set of all lines passing through the origin in a vector space. It is called "finite" because it has a finite number of points or elements. This concept is widely used in various branches of mathematics, such as geometry and algebraic topology, to study the properties and transformations of vector spaces.

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• 8.

### A collection of all vectors is in what order?

• A.

2

• B.

5

• C.

7

• D.

10

A. 2
Explanation
The given collection of vectors is in ascending order.

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• 9.

### The collection of all vectors is in what dimension?

• A.

2

• B.

5

• C.

7

• D.

10

B. 5
Explanation
The collection of all vectors is in the dimension of 5. This means that each vector in the collection has 5 components or dimensions.

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• 10.

### In a set, how many cards can exist without a set?

• A.

5

• B.

10

• C.

15

• D.

20

D. 20
Explanation
In a set, each card can have one of three attributes (color, shape, shading) that can be the same or different across three cards. For any two cards, there is always a third card that completes the set. Therefore, in a set, it is not possible for any card to exist without a set. Hence, the answer is 20, indicating that all 20 cards in the set must exist for there to be no card without a set.

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