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number_of_subsets MCQ Questions for Class 11

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6 questions tagged with number_of_subsets.

Question 1/6 Hard Mathematics Sets Equal sets and Subsets Class 11 Level 9

किसी 5 अवयव वाले समुच्चय के कुल उपसमुच्चयों की संख्या क्या होगी?

What is the total number of subsets of a set having 5 elements?

Explanation opens after your attempt
Correct Answer

C. 32

Step 1

Concept

A set with (n) elements has \(2^n\) subsets. Here \(2^5=32\).

Step 2

Why this answer is correct

The correct answer is C. 32. A set with (n) elements has \(2^n\) subsets. Here \(2^5=32\).

Step 3

Exam Tip

(n) अवयवों वाले समुच्चय के उपसमुच्चय \(2^n\) होते हैं। यहां \(2^5=32\) है।

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Question 2/6 Medium Mathematics Sets Equal sets and Subsets Class 11 Level 8

यदि \(A=\{1,2\}\) है तो (A) के कुल उपसमुच्चयों की संख्या क्या है?

If \(A=\{1,2\}\) then what is the total number of subsets of (A)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

If a set has (n) elements then it has \(2^n\) subsets. Here \(2^2=4\).

Step 2

Why this answer is correct

The correct answer is C. (4). If a set has (n) elements then it has \(2^n\) subsets. Here \(2^2=4\).

Step 3

Exam Tip

यदि समुच्चय में (n) अवयव हों तो उपसमुच्चय \(2^n\) होते हैं। यहां \(2^2=4\) है।

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Question 3/6 Easy Mathematics Sets Equal sets and Subsets Class 11 Level 9

यदि किसी समुच्चय में (4) अवयव हैं, तो उसके कुल उपसमुच्चय कितने होंगे?

If a set has (4) elements, how many subsets does it have?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

A set with (n) elements has \(2^n\) subsets.

Step 2

Why this answer is correct

Here (n=4), so \(2^4=16\).

Step 3

Exam Tip

Exam tip: for each element, think of two choices: include it or exclude it. चरण 1: (n) अवयवों वाले समुच्चय के उपसमुच्चय \(2^n\) होते हैं। चरण 2: यहाँ (n=4), इसलिए \(2^4=16\)। चरण 3: परीक्षा संकेत: हर अवयव के लिए दो स्थितियां सोचें, लेना या न लेना।

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Question 4/6 Easy Mathematics Sets Equal sets and Subsets Class 11 Level 9

समुच्चय \(A=\{a,b,c\}\) के कुल कितने उपसमुच्चय होंगे?

How many subsets will the set \(A=\{a,b,c\}\) have?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

If a set has (n) elements, the number of subsets is \(2^n\).

Step 2

Why this answer is correct

Here (n=3), so \(2^3=8\).

Step 3

Exam Tip

Exam tip: include the empty set and the set itself while counting. चरण 1: यदि किसी समुच्चय में (n) अवयव हों, तो उपसमुच्चयों की संख्या \(2^n\) होती है। चरण 2: यहाँ (n=3), इसलिए \(2^3=8\)। चरण 3: परीक्षा संकेत: खाली समुच्चय और पूरा समुच्चय भी गिनना न भूलें।

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Question 5/6 Easy Mathematics Sets Equal sets and Subsets Class 11 Level 8

समुच्चय \(A=\{1,3,5\}\) के कुल उपसमुच्चयों की संख्या कितनी है?

How many subsets does the set \(A=\{1,3,5\}\) have?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

If a finite set has (n) elements, the number of subsets is \(2^n\).

Step 2

Why this answer is correct

Here (n=3), so \(2^3=8\).

Step 3

Exam Tip

Count the elements first and then apply \(2^n\). चरण 1: यदि किसी सीमित समुच्चय में (n) सदस्य हों, तो उपसमुच्चयों की संख्या \(2^n\) होती है। चरण 2: यहाँ (n=3), इसलिए \(2^3=8\)। चरण 3: सदस्य गिनने के बाद सीधे \(2^n\) लगाएँ।

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Question 6/6 Easy Mathematics Sets Equal sets and Subsets Class 11 Level 7

दो अवयवों वाले समुच्चय \(A=\{a,b\}\) के कुल उपसमुच्चयों की संख्या कितनी होती है?

How many total subsets does a two-element set \(A=\{a,b\}\) have?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

If a set has (n) elements, the number of subsets is \(2^n\).

Step 2

Why this answer is correct

Here (n=2), so \(2^2=4\).

Step 3

Exam Tip

For small sets, you can also list the subsets to verify. चरण 1: यदि समुच्चय में (n) अवयव हों, तो उपसमुच्चयों की संख्या \(2^n\) होती है। चरण 2: यहाँ (n=2), इसलिए \(2^2=4\)। चरण 3: छोटे समुच्चय में उपसमुच्चय लिखकर भी जाँच सकते हैं।

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