Induction Binomial Theorem Quiz 1

The post is about “Induction Binomial Theorem Quiz”. Test your knowledge with this comprehensive MCQ Induction Binomial Theorem Quiz from Chapter 8 of First-Year Mathematics. The First Year Mathematics quiz includes 20 multiple-choice questions covering key concepts to help you prepare for exams. Perfect for students and educators! Let us start with the Induction Binomial Theorem Quiz now.

Online First Year Mathematical Induction Binomial Theorem Quiz with Answers

Online Mathematical Induction and Binomial Theorem from Chapter 8 of First Year Mathematics Part-1 with Answers

1. The number of terms in the expansion of $(a+b)^n$ is

 
 
 
 

2. In the expansion $(a+x)^n$, the sum of exponents of $a$ and $x$ is

 
 
 
 

3. In the expansion $(a+x)^n$ the exponent of $a$

 
 
 
 

4. The sum of even binomial coefficients in the expansion of $(a+x)^n$ is

 
 
 
 

5. The $(r+1)$th term in the expansion of $(a+x)^n$ is

 
 
 
 

6. The middle term(s) in the expansion of $(a+b)^{11}$ is/are

 
 
 
 

7. $\binom{n+1}{0} + \binom{n+1}{1} + \binom{n+1}{2} + \cdots + \binom{n+1}{n+1}$ is equal to

 
 
 
 

8. $\binom{2n}{0} + \binom{2n}{1} + \binom{2n}{2} + \cdots + \binom{2n}{2n}$ is equal to

 
 
 
 

9. The sum of all binomial coefficients in the expansion of $(a+x)^n$ is

 
 
 
 

10. The general term of the binomial expansion $(a+x)^n$ is

 
 
 
 

11. The term independent of $x$ in the expansion of $(a+2x)^n$ is

 
 
 
 

12. 4th term from the end in the expansion of $(a+b)^9$ is

 
 
 
 

13. In the expansion $(a+x)^n$ the exponent of $x$

 
 
 
 

14. The statement $3^n < n!$ is true, when $n$ is

 
 
 
 

15. The coefficient of the last term in the expansion of $(2-x)^7$ is

 
 
 
 

16. 6th term of the expansion $(a+2x)^{13}$ is

 
 
 
 

17. The middle term(s) in the expansion of $(a-3x)^{14}$ is/are

 
 
 
 

18. The statement $4^n > 3^n + 4$ is true when

 
 
 
 

19. If $n$ is odd, the middle term(s) in $(a+x)^n$ is/are

 
 
 
 

20. The sum of odd binomial coefficients in the expansion of $(a+x)^n$ is

 
 
 
 

Online Induction Binomial Theorem Quiz First Year Mathematics

  • The statement $4^n > 3^n + 4$ is true when
  • The statement $3^n < n!$ is true, when $n$ is
  • The general term of the binomial expansion $(a+x)^n$ is
  • The number of terms in the expansion of $(a+b)^n$ is
  • In the expansion $(a+x)^n$, the sum of exponents of $a$ and $x$ is
  • The $(r+1)$th term in the expansion of $(a+x)^n$ is
  • In the expansion $(a+x)^n$ the exponent of $a$
  • In the expansion $(a+x)^n$ the exponent of $x$
  • The middle term(s) in the expansion of $(a+b)^{11}$ is/are
  • The middle term(s) in the expansion of $(a-3x)^{14}$ is/are
  • 6th term of the expansion $(a+2x)^{13}$ is
  • 4th term from the end in the expansion of $(a+b)^9$ is
  • The term independent of $x$ in the expansion of $(a+2x)^n$ is
  • The coefficient of the last term in the expansion of $(2-x)^7$ is
  • The sum of all binomial coefficients in the expansion of $(a+x)^n$ is
  • The sum of odd binomial coefficients in the expansion of $(a+x)^n$ is
  • The sum of even binomial coefficients in the expansion of $(a+x)^n$ is
  • $\binom{n+1}{0} + \binom{n+1}{1} + \binom{n+1}{2} + \cdots + \binom{n+1}{n+1}$ is equal to
  • $\binom{2n}{0} + \binom{2n}{1} + \binom{2n}{2} + \cdots + \binom{2n}{2n}$ is equal to
  • If $n$ is odd, the middle term(s) in $(a+x)^n$ is/are

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IPFP Test School and Classroom Management 3

Prepare for the HEC IPFP Test School and Classroom Management with this comprehensive Quiz. The Higher Education Commission (HEC) IPFP (Indigenous PhD Fellowship Program) test assesses educators’ understanding of key teaching concepts, including classroom discipline, student engagement, lesson planning, and effective learning environments. This IPFP Test School and Classroom Management Quiz covers essential topics such as behavior management, instructional strategies, teacher-student communication, and educational psychology, helping aspiring and current teachers refine their skills for a successful teaching career. Test your knowledge and boost your confidence for the HEC IPFP exam! Let us start with the IPFP Test School and Classroom Management Quiz now.

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Muhammad Imdad Ullah

IPFP Test School and Classroom Management 3

Test your knowledge of school and classroom management with this HEC IPFP quiz! Assess key concepts, strategies, and best practices for effective teaching and learning environments. Perfect for educators and aspiring teachers!

tail spin

1 / 20

In case of new recruitment, the probation period is

2 / 20

Micro planning is done in

3 / 20

Motivating others to achieve certain goals is

4 / 20

All financial transactions of the school occurring from day to day are entered in

5 / 20

The power delegated throughout an organization is

6 / 20

Teacher salaries and allowances are collectively written in

7 / 20

What do the E and D rules mean

8 / 20

A person who possesses qualities of leadership is

9 / 20

A program of activities that is designed to attain educational ends is

10 / 20

The individual in the group given the task of directing and coordinating is

11 / 20

Which pension is granted to a civil servant who retires at the age of sixty

12 / 20

ADP is an abbreviation of

13 / 20

The smallest interacting parts of systems are

14 / 20

The process of making a judgment is called

15 / 20

The ACR cannot be initiated for a period of less than

16 / 20

The authoritarian model is more suitable for

17 / 20

Directing must be consistent with

18 / 20

The cash book is maintained by

19 / 20

The process of directing others towards the accomplishment of some objectives is

20 / 20

The characteristics of a good planner are:

Your score is

The average score is 69%

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Online IPFP Test School and Classroom Management Quiz qith Answers

Online IPFP Test School and Classroom Management 3

  • The process of directing others towards the accomplishment of some objectives is
  • The characteristics of a good planner are:
  • The power delegated throughout an organization is
  • Motivating others to achieve certain goals is
  • Teacher salaries and allowances are collectively written in
  • A program of activities that is designed to attain educational ends is
  • The cash book is maintained by
  • All financial transactions of the school occurring from day to day are entered in
  • The smallest interacting parts of systems are
  • ADP is an abbreviation of
  • Which pension is granted to a civil servant who retires at the age of sixty
  • In case of new recruitment, the probation period is
  • The authoritarian model is more suitable for
  • Directing must be consistent with
  • What do the E and D rules mean
  • The process of making a judgment is called
  • The ACR cannot be initiated for a period of less than
  • Micro planning is done in
  • The individual in the group given the task of directing and coordinating is
  • A person who possesses qualities of leadership is

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9th Class Islamiat MCQs

Test your knowledge with this comprehensive 9th Class Islamiat MCQs Quiz based on the Punjab Textbook Board (Pakistan) curriculum. Perfect for students preparing for exams, this 9th class Islamiat MCQs Test covers key topics from the book, including Islamic beliefs, Quranic teachings, Hadith, and the life of the Prophet (PBUH). Sharpen your understanding and ace your exams with these important MCQs and short questions! Let us start with the 9th Class Islamiat MCQs Test now.

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9th class Islamiat MCQs 2

Online Multiple Choice Questions from 9th class Islamiat MCQs Quiz with Answers

tail spin

1 / 20

بنی تمیم کے سامنے نبی کریم خاتم النبیینﷺ نے بطورِ خطیب کس شخصیت کو پیش کیا؟

2 / 20

عام الوفود سے مراد ہے۔

3 / 20

دادا جان حضرت عبدالمطلب کے انتقال کے وقت نبی کریم خاتم النبیینﷺ کی عمر مبارک تھی؟

4 / 20

رسول اللّٰہ خاتم النبیینﷺ نے عبادت میں میانہ روی کا حکم دیا۔

5 / 20

علمی سخاوت سے مراد ہے؟

6 / 20

سخاوت سے مراد ہے؟

7 / 20

وفد بنی تمیم کی قیادت کر رہا تھا؟

8 / 20

جب نبی کریم خاتم النبیینﷺ کے پاؤں مبارک میں عبادت کے دوران ورم آگئے، تو آپ خاتم النبیین ﷺ نے فرمایا؟

9 / 20

نبی کریم خاتم النبیینﷺ نے نماز کو قرار دیا؟

10 / 20

وفد عبدالقیس کے سردار اشج میں دو نمایاں خوبیاں تھیں؟

11 / 20

کس معاہدے کو حضورِاکرم خاتم النبیین ﷺ نے سرخ اونٹوں سے زیادہ محبوب قرار دیا۔

12 / 20

غزوہ حنین کے دوران نبی کریم خاتم النبیینﷺ نے کفارِمکہ پر پھینکی۔

13 / 20

نبی کریم خاتم النبیینﷺ کے بچپن میں عرب میں قحط پڑا تو نبی کریم خاتم النبیینﷺ نے کیا کہا؟

14 / 20

نبی کریم خاتم النبیینﷺ کی تاریخِ پیدائیش ہے؟

15 / 20

نبی کریم خاتم النبیینﷺ غارِ حرا تشریف لے جاتے تھے؟

16 / 20

غزوہ حنین میں بکھرنے والوں کو آواز دے کر اکٹھا کرنے والے تھے؟

17 / 20

غزوہ حنین سے ہمیں سبق ملتا ہے؟

18 / 20

نبی کریم خاتم النبیینﷺ کی خدمت میں حاضر ہونے والے وفود کو ٹھہرایا جاتا تھا؟

19 / 20

حدیثِ مبارکہ کے مطابق نبی کریم خاتم النبیینﷺ رات کے کس حصے میں سوتے تھے؟

20 / 20

حضورِاکرم خاتم النبیینﷺ کی رضاعی بہن کا اسمِ گرامی ہے؟

Your score is

The average score is 93%

0%

Online 9th Class Islamiat MCQs Test with Answers

9th Class Islamiat MCQs with Answers

  • غزوہ حنین کے دوران نبی کریم خاتم النبیینﷺ نے کفارِمکہ پر پھینکی۔
  • عام الوفود سے مراد ہے۔
  • رسول اللّٰہ خاتم النبیینﷺ نے عبادت میں میانہ روی کا حکم دیا۔
  • دادا جان حضرت عبدالمطلب کے انتقال کے وقت نبی کریم خاتم النبیینﷺ کی عمر مبارک تھی؟
  • علمی سخاوت سے مراد ہے؟
  • سخاوت سے مراد ہے؟
  • بنی تمیم کے سامنے نبی کریم خاتم النبیینﷺ نے بطورِ خطیب کس شخصیت کو پیش کیا؟
  • حدیثِ مبارکہ کے مطابق نبی کریم خاتم النبیینﷺ رات کے کس حصے میں سوتے تھے؟
  • حضورِاکرم خاتم النبیینﷺ کی رضاعی بہن کا اسمِ گرامی ہے؟
  • نبی کریم خاتم النبیینﷺ نے نماز کو قرار دیا؟
  • نبی کریم خاتم النبیینﷺ غارِ حرا تشریف لے جاتے تھے؟
  • وفد عبدالقیس کے سردار اشج میں دو نمایاں خوبیاں تھیں؟
  • غزوہ حنین سے ہمیں سبق ملتا ہے؟
  • کس معاہدے کو حضورِاکرم خاتم النبیین ﷺ نے سرخ اونٹوں سے زیادہ محبوب قرار دیا۔
  • وفد بنی تمیم کی قیادت کر رہا تھا؟
  • جب نبی کریم خاتم النبیینﷺ کے پاؤں مبارک میں عبادت کے دوران ورم آگئے، تو آپ خاتم النبیین ﷺ نے فرمایا؟
  • غزوہ حنین میں بکھرنے والوں کو آواز دے کر اکٹھا کرنے والے تھے؟
  • نبی کریم خاتم النبیینﷺ کے بچپن میں عرب میں قحط پڑا تو نبی کریم خاتم النبیینﷺ نے کیا کہا؟
  • نبی کریم خاتم النبیینﷺ کی خدمت میں حاضر ہونے والے وفود کو ٹھہرایا جاتا تھا؟
  • نبی کریم خاتم النبیینﷺ کی تاریخِ پیدائیش ہے؟

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