मराठी

State which of the following statement are true and which are false. Justify your answer. 28 ∈ {y | the sum of the all positive factors of y is 2y} - Mathematics

Advertisements
Advertisements

प्रश्न

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

28 ∈ {y | the sum of the all positive factors of y is 2y}

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
Advertisements

उत्तर

This statement is True.

Explanation:

Since, the sum of positive factors of 28

= 1 + 2 + 4 + 7 + 14 + 28

= 56

= 2(28)

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

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 1 Sets
Solved Examples | Q 2.(ii) | पृष्ठ ४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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

A collection of novels written by the writer Munshi Prem Chand.


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 roster form:

F = The set of all letters in the word BETTER


Write the following set in the set-builder form:

{2, 4, 8, 16, 32}


Which of the following collection is set? Justify your answer: 

The collection of ten most talented writers of India.


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

 The collection of difficult topics in mathematics.

 


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

The collection of all question in this chapter.


Describe the following sets in Roster form: 

 {x ∈ N : x = 2nn ∈ N};


Describe the following sets in set-builder form: 

E = {0}


List all the elements of the following set: 

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


Write the set \[\left\{ \frac{1}{2}, \frac{2}{5}, \frac{3}{10}, \frac{4}{17}, \frac{5}{26}, \frac{6}{37}, \frac{7}{50} \right\}\]  in the set-builder form.


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

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


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

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


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

\[\left\{ \left\{ c, d \right\} \right\} \subset A\]


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

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


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

\[1 \in A\] 


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

 


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

 


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

{1}. 


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

8 ____ A


Describe the following set in Set-Builder form

{0}


Describe the following set in Set-Builder form

{0, –1, 2, –3, 4, –5, 6, ...}


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.


Write the following interval in Set-Builder form

`(-∞, 5]`


Write the following interval in Set-Builder form.

(2, 5]


Select the correct answer from given alternative.

In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus are


Answer the following:

In a survey of 425 students in a school, it was found that 115 drink apple juice, 160 drink orange juice, and 80 drink both apple as well as orange juice. How many drinks neither apple juice nor orange juice?


Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n + 1


If Y = {x | x is a positive factor of the number 2p – 1 (2p – 1), where 2p – 1 is a prime number}.Write Y in the roaster form.


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

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


128 ∈ {y | the sum of all the positive factors of y is 2y}


Determine whether the following statement is true or false. Justify your answer.

For all sets A, B, and C, A – (B – C) = (A – B) – C


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 more than one subject only


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 English and Sanskrit but not French


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 Sanskrit but not 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×