Only a Genius could Solve this Tricky Math Trivia Quiz

1.

Look the group below. Which one is a set?

A. Group of expensive bag

B. Group of beautiful girls.

C. Group of clever boys.

D. Group of eight multiple numbers

The correct answer is d. Group of eight multiple numbers. A set is a collection of distinct objects, and in this case, the group of eight multiple numbers forms a set because it consists of a specific collection of numbers that are multiples of eight. The other options do not form sets as they do not meet the criteria of a distinct collection of objects.

Explanation

The correct answer is d. Group of eight multiple numbers. A set is a collection of distinct objects, and in this case, the group of eight multiple numbers forms a set because it consists of a specific collection of numbers that are multiples of eight. The other options do not form sets as they do not meet the criteria of a distinct collection of objects.

2.

Let P = { x| 0 x < 10, x is whole numbers} if P will be expressed by listing, so set P = …..

{0,1, 2, 3, 4, 5, 6, 7, 8. 9,10}

{0,1, 2, 3, 4, 5, 6, 7, 8. 9}

{1, 2, 3, 4, 5, 6, 7, 8. 9,10}

{1, 2, 3, 4, 5, 6, 7, 8. 9}

The correct answer is {0,1, 2, 3, 4, 5, 6, 7, 8. 9} because the set P is defined as the set of whole numbers between 0 and 10. The set is expressed by listing all the numbers between 0 and 10, excluding 10. Therefore, the correct answer is the set {0,1, 2, 3, 4, 5, 6, 7, 8. 9}.

Explanation

The correct answer is {0,1, 2, 3, 4, 5, 6, 7, 8. 9} because the set P is defined as the set of whole numbers between 0 and 10. The set is expressed by listing all the numbers between 0 and 10, excluding 10. Therefore, the correct answer is the set {0,1, 2, 3, 4, 5, 6, 7, 8. 9}.

3. Known A = {even natural number less than 14} and the following statements, namely (i) 2

A (ii) 3

A (iii) 4

A (iv) 12

A Based on statements above, which one is correct

I and ii

I and iii

Iii and iiv

I and iv

The correct answer is "i and iii". This means that both statements (i) and (iii) are correct based on the given information. Statement (i) says that 2 is in set A, which is true since 2 is an even natural number less than 14. Statement (iii) says that 4 is in set A, which is also true for the same reason. Therefore, the correct answer is i and iii.

Explanation

The correct answer is "i and iii". This means that both statements (i) and (iii) are correct based on the given information. Statement (i) says that 2 is in set A, which is true since 2 is an even natural number less than 14. Statement (iii) says that 4 is in set A, which is also true for the same reason. Therefore, the correct answer is i and iii.

4.

Base on Venn Diagram List set B is...

Based on the given Venn diagram, List set B is the set of elements that are not in set A but are in set C.

Explanation

Based on the given Venn diagram, List set B is the set of elements that are not in set A but are in set C.

5.

Given {0,2, 4, 6,8 } if the set will be expressed by description, so ….

{natural numbers between 0 and 9}

{whole numbers between 0 and 9}

{even whole numbers less than 9}

{even natural numbers less than 9}

The set {0, 2, 4, 6, 8} can be described as "even whole numbers less than 9" because all the numbers in the set are even (divisible by 2) and less than 9. The other options are not correct because they either include numbers that are not in the set (such as 9) or they include numbers that are not even (such as 1 or 3).

Explanation

The set {0, 2, 4, 6, 8} can be described as "even whole numbers less than 9" because all the numbers in the set are even (divisible by 2) and less than 9. The other options are not correct because they either include numbers that are not in the set (such as 9) or they include numbers that are not even (such as 1 or 3).

6.

Express the following sets with set-builder notation. K = set of natural numbers between 2 to 7

K = { x | 2 < x < 7, x is a natural number }

K = { x | 2 < x 7, x is a natural number }

K = { x |,2 x < is a natural number }

K = { x |2 x 7,x is a natural number }

The correct answer is K = { x | 2

Explanation

The correct answer is K = { x | 2

7.

Let P = Set of the first ten letter in the alphabet

Q = Set of the vowels in the alphabet The set of P

Q are ….

{a, i, u, e, o}

{b, c, d, f, g}

{a, e}

{a, e,i}

The set of P Q is {a, e, i} because it includes all the elements that are common to both sets P and Q. In this case, the elements "a" and "e" are present in both sets P and Q, while the element "i" is only present in set Q. Therefore, the set of P Q is {a, e, i}.

Explanation

The set of P Q is {a, e, i} because it includes all the elements that are common to both sets P and Q. In this case, the elements "a" and "e" are present in both sets P and Q, while the element "i" is only present in set Q. Therefore, the set of P Q is {a, e, i}.

8. There are 46 students in a class, 33 students like Mathematics, 27 students like English, and 12 students don't like either Mathematics or English. The number of students who like both Mathematics and English is …

7 student

11 student

18 student

26 student

To find the number of students who like both Mathematics and English, we need to subtract the number of students who don't like either subject from the total number of students. The total number of students is 46, and the number of students who don't like either subject is 12. Therefore, the number of students who like both Mathematics and English is 46 - 12 = 34. However, this is not one of the options provided. Therefore, the correct answer cannot be determined based on the given information.

Explanation

To find the number of students who like both Mathematics and English, we need to subtract the number of students who don't like either subject from the total number of students. The total number of students is 46, and the number of students who don't like either subject is 12. Therefore, the number of students who like both Mathematics and English is 46 - 12 = 34. However, this is not one of the options provided. Therefore, the correct answer cannot be determined based on the given information.

9.

Given U = set of natural number

S =set of even natural number T = set of odd natural number The Venn diagram describing the relationship between these sets are ....

10. Look at the venn diagram

11.

There are 12 students who like orange juice, 13 students who like avocado juice and 5 students who like both. How many students like orange juice or avocado juice?

30

20

7

8

The number of students who like orange juice or avocado juice can be calculated by adding the number of students who like orange juice (12) and the number of students who like avocado juice (13), and then subtracting the number of students who like both (5). Therefore, the total number of students who like orange juice or avocado juice is 20.

Explanation

The number of students who like orange juice or avocado juice can be calculated by adding the number of students who like orange juice (12) and the number of students who like avocado juice (13), and then subtracting the number of students who like both (5). Therefore, the total number of students who like orange juice or avocado juice is 20.

12.

Given M= { prime number less than 13}

The number all subset of M that have three elements are

4

6

10

32

The given set M consists of prime numbers less than 13. The subsets of M that have three elements are {4, 6, 10} and {4, 6, 32}. Out of these subsets, the number 10 is the correct answer as it is a prime number less than 13.

Explanation

The given set M consists of prime numbers less than 13. The subsets of M that have three elements are {4, 6, 10} and {4, 6, 32}. Out of these subsets, the number 10 is the correct answer as it is a prime number less than 13.

13.

Suppose P = {factor of 6}

The numbers all subset of P are ….

2

4

8

16

The correct answer is 16 because the question states that P is the set of factors of 6. The factors of 6 are 1, 2, 3, and 6. However, the given numbers in the subset are 2, 4, 8, and 16, which are not all factors of 6. Therefore, the answer of 16 is incorrect and does not belong to the subset of P.

Explanation

The correct answer is 16 because the question states that P is the set of factors of 6. The factors of 6 are 1, 2, 3, and 6. However, the given numbers in the subset are 2, 4, 8, and 16, which are not all factors of 6. Therefore, the answer of 16 is incorrect and does not belong to the subset of P.

14.

Let U = { 1,2, 3, …, 10}

And set P = { even number between 2 and 10} The complements of P are ….

{ 4,6,8}

{ 1,3,5,7,9}

{ 1,2,3,5,7,9,10}

{ 1, 3,5,7,9,10}

The complements of P are the elements in U that are not in P. In this case, P is defined as the set of even numbers between 2 and 10. Therefore, the complements of P would be the set of odd numbers and the number 1, since they are not included in P. The answer { 1,2,3,5,7,9,10} includes all the odd numbers and the number 10, which are not in P.

Explanation

The complements of P are the elements in U that are not in P. In this case, P is defined as the set of even numbers between 2 and 10. Therefore, the complements of P would be the set of odd numbers and the number 1, since they are not included in P. The answer { 1,2,3,5,7,9,10} includes all the odd numbers and the number 10, which are not in P.

15. Let A={composite numbers less than 10} B={ odd numbers between 2 and 10} The elements of set B – A are ….

{4, 6, 8}

{9}

{3, 5, 7}

{3,5,7,9}

The elements of set B - A are {3, 5, 7}. This is because set B contains the odd numbers between 2 and 10, which are {3, 5, 7}, and set A contains the composite numbers less than 10, which are {4, 6, 8}. When we subtract set A from set B, we remove any elements that are present in both sets. Therefore, the elements that remain are {3, 5, 7}.

Explanation

The elements of set B - A are {3, 5, 7}. This is because set B contains the odd numbers between 2 and 10, which are {3, 5, 7}, and set A contains the composite numbers less than 10, which are {4, 6, 8}. When we subtract set A from set B, we remove any elements that are present in both sets. Therefore, the elements that remain are {3, 5, 7}.

Only A Genius Could Solve This Tricky Math Trivia Quiz