यदि \(A=\{2,4,6,8\}\) है तो कौन सा (\mathcal{P}(A)) का तत्व नहीं है?
If \(A=\{2,4,6,8\}\), which is not an element of (\mathcal{P}(A))?
#sets
#power_set
#not_subset
A ({2,8})
B ({4,6})
C \(\emptyset\)
D ({2,10})
Explanation opens after your attempt
Correct Answer
D. ({2,10})
Step 1
Concept
({2,10}) contains (10), which is not in (A). So it is not a subset of (A).
Step 2
Why this answer is correct
The correct answer is D. ({2,10}). ({2,10}) contains (10), which is not in (A). So it is not a subset of (A).
Step 3
Exam Tip
({2,10}) में (10) है जो (A) में नहीं है। इसलिए यह (A) का उपसमुच्चय नहीं है।
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यदि \(A=\{1,2,3\}\) है तो कौन सा (\mathcal{P}(A)) का तत्व नहीं है?
If \(A=\{1,2,3\}\), which is not an element of (\mathcal{P}(A))?
#sets
#power_set
#not_subset
A ({1})
B ({2,3})
C \(\emptyset\)
D ({1,4})
Explanation opens after your attempt
Correct Answer
D. ({1,4})
Step 1
Concept
({1,4}) is not a subset of (A) because (4) is not in (A). So it will not be in the power set.
Step 2
Why this answer is correct
The correct answer is D. ({1,4}). ({1,4}) is not a subset of (A) because (4) is not in (A). So it will not be in the power set.
Step 3
Exam Tip
({1,4}) (A) का उपसमुच्चय नहीं है क्योंकि (4) (A) में नहीं है। इसलिए यह घात समुच्चय में नहीं आएगा।
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(\mathcal{P}({1,2})) में कौन सा तत्व नहीं है?
Which is not an element of (\mathcal{P}({1,2}))?
#sets
#power_set
#not_subset
A \(\emptyset\)
B ({1})
C ({2})
D ({3})
Explanation opens after your attempt
Step 1
Concept
({3}) is not a subset of ({1,2}). So it cannot be an element of the power set.
Step 2
Why this answer is correct
The correct answer is D. ({3}). ({3}) is not a subset of ({1,2}). So it cannot be an element of the power set.
Step 3
Exam Tip
({3}) समुच्चय ({1,2}) का उपसमुच्चय नहीं है। इसलिए यह घात समुच्चय का तत्व नहीं हो सकता।
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यदि \(A={x:x\in\mathbb{N},x\) (10) का भाजक है(}), तो कौन सा (A) का उपसमुच्चय नहीं है?
If \(A={x:x\in\mathbb{N},x\) is a divisor of (10)(}), which is not a subset of (A)?
#subsets
#divisors
#not-subset
A ({1,2})
B ({5,10})
C ({1,10})
D ({2,4})
Explanation opens after your attempt
Correct Answer
D. ({2,4})
Step 1
Concept
Here \(A=\{1,2,5,10\}\), and (4) is not its element. Check every element while testing a subset.
Step 2
Why this answer is correct
The correct answer is D. ({2,4}). Here \(A=\{1,2,5,10\}\), and (4) is not its element. Check every element while testing a subset.
Step 3
Exam Tip
\(A=\{1,2,5,10\}\) है और (4) इसका सदस्य नहीं है। उपसमुच्चय जांचते समय हर सदस्य जांचें।
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यदि \(A={\emptyset,{\emptyset},1}\) है, तो कौन सा (A) का उपसमुच्चय नहीं है?
If \(A={\emptyset,{\emptyset},1}\), which is not a subset of (A)?
#subsets
#nested-set
#not-subset
A \({\emptyset,1}\)
B \({{\emptyset}}\)
C \({\emptyset,{\emptyset},1}\)
D ({1,2})
Explanation opens after your attempt
Correct Answer
D. ({1,2})
Step 1
Concept
The element (2) is not in (A). Every element of a subset must belong to the original set.
Step 2
Why this answer is correct
The correct answer is D. ({1,2}). The element (2) is not in (A). Every element of a subset must belong to the original set.
Step 3
Exam Tip
(2) समुच्चय (A) का सदस्य नहीं है। उपसमुच्चय में हर सदस्य मूल समुच्चय में होना चाहिए।
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यदि \(A=\{a,b,c\}\) और \(B=\{b,c,d\}\), तो कौन सा कथन सही है?
If \(A=\{a,b,c\}\) and \(B=\{b,c,d\}\), which statement is correct?
#not subset
#equal sets
#comparison
A (A=B)
B \(A\subset B\)
C \(B\subset A\)
D न तो \(A\subseteq B\) और न ही \(B\subseteq A\) / Neither \(A\subseteq B\) nor \(B\subseteq A\)
Explanation opens after your attempt
Correct Answer
D. न तो \(A\subseteq B\) और न ही \(B\subseteq A\) / Neither \(A\subseteq B\) nor \(B\subseteq A\)
Step 1
Concept
(a) is not in (B), and (d) is not in (A). Hence neither set is a subset of the other.
Step 2
Why this answer is correct
The correct answer is D. न तो \(A\subseteq B\) और न ही \(B\subseteq A\) / Neither \(A\subseteq B\) nor \(B\subseteq A\). (a) is not in (B), and (d) is not in (A). Hence neither set is a subset of the other.
Step 3
Exam Tip
(a), (B) में नहीं है और (d), (A) में नहीं है। इसलिए कोई भी दूसरे का उपसमुच्चय नहीं है।
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यदि \(A=\{1,2,3\}\), तो निम्न में से कौन सा (A) का उपसमुच्चय नहीं है?
If \(A=\{1,2,3\}\), which of the following is not a subset of (A)?
#subset
#not subset
#class 11
A \(\varnothing\)
B ({1,3})
C ({2,4})
D ({1,2,3})
Explanation opens after your attempt
Correct Answer
C. ({2,4})
Step 1
Concept
4 is not an element of (A), so ({2,4}) is not a subset. Look for any outside element in the option.
Step 2
Why this answer is correct
The correct answer is C. ({2,4}). 4 is not an element of (A), so ({2,4}) is not a subset. Look for any outside element in the option.
Step 3
Exam Tip
4, (A) का अवयव नहीं है, इसलिए ({2,4}) उपसमुच्चय नहीं है। किसी भी विकल्प में बाहरी अवयव खोजें।
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कौन-सा समुच्चय \(A=\{1,2,3,4\}\) का उपसमुच्चय नहीं है?
Which set is not a subset of \(A=\{1,2,3,4\}\)?
#not-subset
#finite-set
#sets
A ({1,4})
B ({2,3})
C ({1,2,3})
D ({3,5})
Explanation opens after your attempt
Correct Answer
D. ({3,5})
Step 1
Concept
Every element of the option must be present in (A).
Step 2
Why this answer is correct
({3,5}) contains (5), but (5) is not in (A).
Step 3
Exam Tip
Exam tip: one outside element is enough to reject a subset option. चरण 1: उपसमुच्चय में विकल्प के सभी अवयव (A) में होने चाहिए। चरण 2: ({3,5}) में (5) है, पर (5), (A) में नहीं है। चरण 3: परीक्षा संकेत: बाहर का केवल एक अवयव भी पूरे विकल्प को गलत कर देता है।
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यदि \(A=\{4,5,6\}\) है, तो कौन-सा समुच्चय (A) का उपसमुच्चय नहीं है?
If \(A=\{4,5,6\}\), which set is not a subset of (A)?
#sets
#not_subset
#class11
#easy
A ({4,7})
B ({4})
C ({5,6})
D \(\emptyset\)
Explanation opens after your attempt
Correct Answer
A. ({4,7})
Step 1
Concept
Every element of a subset must be present in (A).
Step 2
Why this answer is correct
In ({4,7}), the element (7) is not in (A). So it is not a subset.
Step 3
Exam Tip
In options, quickly identify any outside element. चरण 1: उपसमुच्चय के हर अवयव को (A) में होना चाहिए। चरण 2: ({4,7}) में (7), (A) में नहीं है। इसलिए यह उपसमुच्चय नहीं है। चरण 3: विकल्पों में बाहरी अवयव जल्दी पहचानें।
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यदि \(A=\{1,3,5\}\) और \(B=\{1,2,3,4\}\) हैं, तो (A) के (B) का उपसमुच्चय न होने का कारण क्या है?
If \(A=\{1,3,5\}\) and \(B=\{1,2,3,4\}\), why is (A) not a subset of (B)?
#sets
#not_subset
#element_check
#class11
A (5) समुच्चय (B) में नहीं है / (5) is not in set (B)
B (1) समुच्चय (B) में नहीं है / (1) is not in set (B)
C (3) समुच्चय (B) में नहीं है / (3) is not in set (B)
D (A) रिक्त समुच्चय है / (A) is the empty set
Explanation opens after your attempt
Correct Answer
A. (5) समुच्चय (B) में नहीं है / (5) is not in set (B)
Step 1
Concept
For a subset, every element of (A) must be in (B).
Step 2
Why this answer is correct
The element (5) is not in (B), so the condition fails.
Step 3
Exam Tip
Even one outside element is enough to reject a subset statement. चरण 1: उपसमुच्चय के लिए (A) का हर अवयव (B) में होना चाहिए। चरण 2: (5), (B) में नहीं है, इसलिए शर्त टूट जाती है। चरण 3: केवल एक बाहर का अवयव भी उपसमुच्चय को गलत कर देता है।
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