मराठी

State which of the following statement are true and which are false. Justify your answer. 37 ∉ {x | x has exactly two positive factors}

Advertisements
Advertisements

प्रश्न

State which of the following statement are true and which are false. Justify your answer.

37 ∉ {x | x has exactly two positive factors}

पर्याय

  • False

  • True

MCQ
चूक किंवा बरोबर
Advertisements

उत्तर

This statement is False.

Explanation:

Since, 37 has exactly two positive factors, 1 and 37, 37 belongs to the set.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Solved Examples [पृष्ठ ४]

APPEARS IN

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Identify whether the following is set or not? Justify your answer.

The collection of questions in this Chapter.


Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

5 _____ A


Write the following set in the set-builder form:

{5, 25, 125, 625}


Write the following set in the set-builder form:

{2, 4, 6, …}


List all the elements of the following set:

C = {x : x is an integer, x2 ≤ 4}


Which of the following collection are sets? Justify your answer:  

The collection of prime integers.


Describe the following sets in Roster form: 

{x : x is a letter before e in the English alphabet}


Describe the following sets in Roster form: 

{x ∈ N : x is a prime number, 10 < x < 20};


Describe the following sets in Roster form: 

 {x ∈ N : x = 2nn ∈ N};


List all the elements of the following sets: 

\[A = \left\{ x: x^2 \leq 10, x \in Z \right\}\] 


List all the elements of the following set: 

D = {x : x is a vowel in the word "EQUATION"}


Write the set of all vowels in the English alphabet which precede q.


Which of the following statement are correct?
Write a correct form of each of the incorrect statement.

\[\left\{ a \right\} \subset \left\{ \left\{ a \right\}, b \right\}\] 


Which of the following statemen are correct?
Write a correct form of each of the incorrect statement.

\[\left\{ a, b \right\} \subset \left\{ a, \left\{ b, c \right\} \right\}\]


Which of the following statement are correct?
Write a correct form of each of the incorrect statement.

\[\phi \subset \left\{ a, b, c \right\}\] 


Let A = {ab, {cd}, e}. Which of the following statement are false and why? 

\[\phi \in A\]


Let A = {ab, {cd}, e}. Which of the following statement are false and why? 

\[\phi \in A\]


Let A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}. Determine which of the following is true or false: 

\[\left\{ \left\{ 4, 5 \right\} \right\} \subset A\] 


Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\]Which of the following are true? \[\left\{ 1 \right\} \in A\]

 


Write down all possible subsets of each of the following set: 

 {a


Write down all possible subsets of each of the following set: 

{abc}, 


Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, = {2, 4, 6, 8} and C = {3, 4, 5, 6}.

Find \[\left( A \cap C \right)'\]


Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

0 ____ A


In a class of 200 students who appeared in certain examinations, 35 students failed in CET, 40 in NEET and 40 in JEE, 20 failed in CET and NEET, 17 in NEET and JEE, 15 in CET and JEE, and 5 failed in all three examinations. Find how many students, did not fail in any examination.


From amongst 2000 literate individuals of a town, 70% read Marathi newspapers, 50% read English newspapers and 32.5% read both Marathi and English newspapers. Find the number of individuals who read at least one of the newspapers


Write the following interval in Set-Builder form

`(6, ∞)`


Write the following interval in Set-Builder form

`(-∞, 5]`


Answer the following:

Write down the following set in set-builder form

{Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}


Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n + 5 = 8


Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n is greater than 4


State which of the following statement is true and which is false. Justify your answer.

35 ∈ {x | x has exactly four positive factors}.


State which of the following statements is true and which is false. Justify your answer.

496 ∉ {y | the sum of all the positive factors of y is 2y}.


Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science; 4 in English and Science; 4 in all the three. Find how many passed in English and Mathematics but not in Science.


Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science; 4 in English and Science; 4 in all the three. Find how many passed in Mathematics and Science but not in English


In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study French and English but not Sanskrit


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×