Class 11 Chapter Practice

Mathematics Statistics MCQ Questions for Class 11

Related questions grouped automatically for chapter-wise practice. Topics include Permutations, Derivations of formulas and their connections, Fundamental principle of counting, Operations on Sets (Union, Intersection, Difference), Sets and their representations.

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Class 11 Mathematics Statistics Practice

Related questions grouped automatically for chapter-wise practice.

Statistics - Topics Covered

Mathematics Statistics ke topic-wise MCQs yahan grouped context me milenge. jo aap ko Exam ki preparation me madad milegi. Ye questions exam-oriented hai and students ko concept clarity, quick revision aur board exam preparation kaafi madad karenge. Sabhi se jude MCQs important topics ke anusar arranged hai, taaki aap Statistics ko easy tarike se practice aur revise kar sake.

  1. Permutations
    2 MCQs
  2. Derivations of formulas and their connections
    1 MCQs
  3. Fundamental principle of counting
    1 MCQs
  4. Operations on Sets (Union, Intersection, Difference)
    1 MCQs
  5. Sets and their representations
    1 MCQs

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Mathematics Statistics MCQ Questions

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\(यदि (J={x:x\) is a letter in the word STATISTICS}), तो सूची रूप में सही समुच्चय कौन-सा है?

\(If (J={x:x\) is a letter in the word STATISTICS}), which is the correct roster form?

Explanation opens after your attempt
Correct Answer

A. \(J=\{S,T,A,I,C\}\)

Step 1

Concept

Identify the distinct letters in the word.

Step 2

Why this answer is correct

Repeated letters are not written again in a set, so we get (S,T,A,I,C).

Step 3

Exam Tip

In roster form, order and repetition do not matter. चरण 1: शब्द में आने वाले अलग-अलग अक्षर पहचानें। चरण 2: समुच्चय में दोहराए गए अक्षर फिर से नहीं लिखे जाते, इसलिए (S,T,A,I,C) मिलते हैं। चरण 3: सूची रूप में क्रम और पुनरावृत्ति दोनों महत्वपूर्ण नहीं माने जाते।

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यदि \(A={x:x\) अंग्रेजी शब्द (MATHEMATICS) का अक्षर है(}) और \(B={x:x\) अंग्रेजी शब्द (STATISTICS) का अक्षर है(}), तो \(A\cap B\) क्या है?

If \(A={x:x\) is a letter of the English word (MATHEMATICS)(}) and \(B={x:x\) is a letter of the English word (STATISTICS)(}), what is \(A\cap B\)?

Explanation opens after your attempt
Correct Answer

A. ({A,I,M,S,T})

Step 1

Concept

The distinct letters common to both words are (A,I,M,S,T). Repeated letters are not counted in a set.

Step 2

Why this answer is correct

The correct answer is A. ({A,I,M,S,T}). The distinct letters common to both words are (A,I,M,S,T). Repeated letters are not counted in a set.

Step 3

Exam Tip

दोनों शब्दों में आने वाले अलग-अलग अक्षर (A,I,M,S,T) हैं। समुच्चय में दोहराए गए अक्षर नहीं गिने जाते।

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शब्द (STATISTICS) के अक्षरों की अलग-अलग व्यवस्थाएं कितनी होंगी?

How many distinct arrangements are possible using the letters of (STATISTICS)?

Explanation opens after your attempt
Correct Answer

A. (50400)

Step 1

Concept

There are (10) letters with (S) three times, (T) three times and (I) twice. Hence \(\frac{10!}{3!3!2!}=50400\).

Step 2

Why this answer is correct

The correct answer is A. (50400). There are (10) letters with (S) three times, (T) three times and (I) twice. Hence \(\frac{10!}{3!3!2!}=50400\).

Step 3

Exam Tip

(10) अक्षरों में (S) तीन, (T) तीन और (I) दो बार है। इसलिए \(\frac{10!}{3!3!2!}=50400\) है।

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शब्द (STATISTICS) के अक्षरों की भिन्न व्यवस्थाओं की संख्या कितनी है?

What is the number of distinct arrangements of the letters of (STATISTICS)?

Explanation opens after your attempt
Correct Answer

A. (50400)

Step 1

Concept

There are (10) letters with (S) three times, (T) three times and (I) twice, so the count is (10!/(3!3!2!)). For long words, make a frequency table.

Step 2

Why this answer is correct

The correct answer is A. (50400). There are (10) letters with (S) three times, (T) three times and (I) twice, so the count is (10!/(3!3!2!)). For long words, make a frequency table.

Step 3

Exam Tip

(10) अक्षरों में (S) तीन बार, (T) तीन बार और (I) दो बार है, इसलिए संख्या (10!/(3!3!2!)) है। बड़े शब्दों में आवृत्ति तालिका बनाएं।

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(STATISTICS) शब्द में repeated letters के कारण denominator कौन-सा होगा?

For the word (STATISTICS), which denominator appears due to repeated letters?

Explanation opens after your attempt
Correct Answer

A. (3!3!2!)

Step 1

Concept

(S) appears three times, (T) appears three times, and (I) appears twice. In exams count letter frequencies before word arrangement.

Step 2

Why this answer is correct

The correct answer is A. (3!3!2!). (S) appears three times, (T) appears three times, and (I) appears twice. In exams count letter frequencies before word arrangement.

Step 3

Exam Tip

(S) तीन बार, (T) तीन बार और (I) दो बार आता है। परीक्षा में word arrangement से पहले letter frequencies गिनें।

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शब्द (STATISTICS) के अक्षरों से कितने भिन्न क्रम बनेंगे जिनमें कोई दो स्वर साथ-साथ न हों?

How many distinct arrangements of the letters of (STATISTICS) are possible if no two vowels are adjacent?

Explanation opens after your attempt
Correct Answer

C. (23520)

Step 1

Concept

First arrange the consonants and place vowels in the gaps formed. Do not forget division due to repeated letters.

Step 2

Why this answer is correct

The correct answer is C. (23520). First arrange the consonants and place vowels in the gaps formed. Do not forget division due to repeated letters.

Step 3

Exam Tip

पहले व्यंजनों को सजाकर बने खाली स्थानों में स्वरों को रखें। समान अक्षरों के कारण विभाजन करना न भूलें।

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FAQs

Mathematics Statistics FAQs

What will I learn in Statistics?

Related questions grouped automatically for chapter-wise practice. Topics include Permutations, Derivations of formulas and their connections, Fundamental principle of counting, Operations on Sets (Union, Intersection, Difference), Sets and their representations.

How should I practice this Mathematics chapter?

Start with Easy MCQs, review explanations after every answer, then move to Medium, Hard and Expert timed quizzes for stronger exam preparation.

Are topic-wise questions available?

Yes, this page includes topic-wise practice such as Permutations, Derivations of formulas and their connections, Fundamental principle of counting, Operations on Sets (Union, Intersection, Difference), Sets and their representations.

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