Class 10 ap-symbolic-difference-hard MCQ Questions

Question 1/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

यदि $a_n=6n+q$ और $a_{5n}-a_n=216$ है तो (n) का मान क्या है?

If $a_n=6n+q$ and $a_{5n}-a_n=216$, what is the value of (n)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

(a_{5n}-a_n=(30n+q)-(6n+q)=24n). From (24n=216), (n=9).

Step 2

Why this answer is correct

The correct answer is C. (9). (a_{5n}-a_n=(30n+q)-(6n+q)=24n). From (24n=216), (n=9).

Step 3

Exam Tip

(a_{5n}-a_n=(30n+q)-(6n+q)=24n)। (24n=216) से (n=9)।

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Question Page:
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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Finding the $n$th term of an AP
Difficulty: Hard
Level: 66

Question Hindi:
यदि (a_n=6n+q) और (a_{5n}-a_n=216) है तो (n) का मान क्या है?

Question English:
If (a_n=6n+q) and (a_{5n}-a_n=216), what is the value of (n)?

Options:
A. (7)
B. (8)
C. (9)
D. (10)

Correct Answer:
C. (9)

Explanation Hindi:
(a_{5n}-a_n=(30n+q)-(6n+q)=24n)। (24n=216) से (n=9)।

Explanation English:
(a_{5n}-a_n=(30n+q)-(6n+q)=24n). From (24n=216), (n=9).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
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- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
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Question 2/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि $a_n=5n+q$ और $a_{4n}-a_n=135$ है तो (n) का मान क्या है?

If $a_n=5n+q$ and $a_{4n}-a_n=135$, what is the value of (n)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

(a_{4n}-a_n=(20n+q)-(5n+q)=15n). From (15n=135), (n=9).

Step 2

Why this answer is correct

The correct answer is C. (9). (a_{4n}-a_n=(20n+q)-(5n+q)=15n). From (15n=135), (n=9).

Step 3

Exam Tip

(a_{4n}-a_n=(20n+q)-(5n+q)=15n)। (15n=135) से (n=9)।

Open Question Page

AI Video Prompt 16:9 + 9:16

Is question ka premium MCQ video banane ke liye ready prompt. Copy karke Sora, Runway, Canva AI, CapCut AI, ChatGPT video workflow ya editor me use karein.

Create a premium AI MCQ quiz video for Muft Shiksha in BOTH formats: 16:9 landscape and 9:16 vertical short.

Brand:
- Name: Muft Shiksha
- Website: https://muftshiksha.com
- Style: dark navy futuristic learning game UI, neon cyan/blue glow, gold reward highlights, clean Devanagari text, premium educational look.
- Do not add wrong facts. Do not change the question, options or answer.

Question Page:
https://muftshiksha.com/question/if-a-n-5n-q-and-a-4n-a-n-135-what-is-the-value-of-n

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Finding the $n$th term of an AP
Difficulty: Hard
Level: 65

Question Hindi:
यदि (a_n=5n+q) और (a_{4n}-a_n=135) है तो (n) का मान क्या है?

Question English:
If (a_n=5n+q) and (a_{4n}-a_n=135), what is the value of (n)?

Options:
A. (7)
B. (8)
C. (9)
D. (10)

Correct Answer:
C. (9)

Explanation Hindi:
(a_{4n}-a_n=(20n+q)-(5n+q)=15n)। (15n=135) से (n=9)।

Explanation English:
(a_{4n}-a_n=(20n+q)-(5n+q)=15n). From (15n=135), (n=9).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
- Thumbnail idea.
- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class10 #Study

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Question 3/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि $a_{n}=4n+q$ और $a_{3n}-a_n=96$ है तो (n) का मान क्या है?

If $a_n=4n+q$ and $a_{3n}-a_n=96$, what is the value of (n)?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

(a_{3n}-a_n=(12n+q)-(4n+q)=8n). From (8n=96), (n=12).

Step 2

Why this answer is correct

The correct answer is C. (12). (a_{3n}-a_n=(12n+q)-(4n+q)=8n). From (8n=96), (n=12).

Step 3

Exam Tip

(a_{3n}-a_n=(12n+q)-(4n+q)=8n)। (8n=96) से (n=12)।

Open Question Page

AI Video Prompt 16:9 + 9:16

Is question ka premium MCQ video banane ke liye ready prompt. Copy karke Sora, Runway, Canva AI, CapCut AI, ChatGPT video workflow ya editor me use karein.

Create a premium AI MCQ quiz video for Muft Shiksha in BOTH formats: 16:9 landscape and 9:16 vertical short.

Brand:
- Name: Muft Shiksha
- Website: https://muftshiksha.com
- Style: dark navy futuristic learning game UI, neon cyan/blue glow, gold reward highlights, clean Devanagari text, premium educational look.
- Do not add wrong facts. Do not change the question, options or answer.

Question Page:
https://muftshiksha.com/question/if-a-n-4n-q-and-a-3n-a-n-96-what-is-the-value-of-n

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Finding the $n$th term of an AP
Difficulty: Hard
Level: 64

Question Hindi:
यदि (a_{n}=4n+q) और (a_{3n}-a_n=96) है तो (n) का मान क्या है?

Question English:
If (a_n=4n+q) and (a_{3n}-a_n=96), what is the value of (n)?

Options:
A. (10)
B. (11)
C. (12)
D. (13)

Correct Answer:
C. (12)

Explanation Hindi:
(a_{3n}-a_n=(12n+q)-(4n+q)=8n)। (8n=96) से (n=12)।

Explanation English:
(a_{3n}-a_n=(12n+q)-(4n+q)=8n). From (8n=96), (n=12).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
- Thumbnail idea.
- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class10 #Study

Open Question

ap-symbolic-difference-hard MCQ Questions for Class 10

Practice Questions

यदि \(a_n=6n+q\) और \(a_{5n}-a_n=216\) है तो (n) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=5n+q\) और \(a_{4n}-a_n=135\) है तो (n) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_{n}=4n+q\) और \(a_{3n}-a_n=96\) है तो (n) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

ap-symbolic-difference-hard Revision Links

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ap-symbolic-difference-hard MCQ Questions for Class 10

Practice Questions

यदि \(a_n=6n+q\) और \(a_{5n}-a_n=216\) है तो (n) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_n=5n+q\) और \(a_{4n}-a_n=135\) है तो (n) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(a_{n}=4n+q\) और \(a_{3n}-a_n=96\) है तो (n) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

ap-symbolic-difference-hard Revision Links

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