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Question Hard Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

किस (k) के लिए (k-2,k+5,2k+1) अंकगणितीय श्रेणी में होंगे?

For which (k) will (k-2,k+5,2k+1) be in an arithmetic progression?

Explanation opens after your attempt

Correct Answer

D. (9)

Step 1

Concept

From (2(k+5)=(k-2)+(2k+1)), (2k+10=3k-1), so (k=11). Identify the middle term while forming the equation.

Step 2

Why this answer is correct

The correct answer is D. (9). From (2(k+5)=(k-2)+(2k+1)), (2k+10=3k-1), so (k=11). Identify the middle term while forming the equation.

Step 3

Exam Tip

(2(k+5)=(k-2)+(2k+1)) से (2k+10=3k-1), इसलिए (k=11)। समीकरण बनाते समय मध्य पद को पहचानें।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Introduction to APs and common difference.
Difficulty: Hard
Level: 61

Question Hindi:
किस (k) के लिए (k-2,k+5,2k+1) अंकगणितीय श्रेणी में होंगे?

Question English:
For which (k) will (k-2,k+5,2k+1) be in an arithmetic progression?

Options:
A. (6)
B. (7)
C. (8)
D. (9)

Correct Answer:
D. (9)

Explanation Hindi:
(2(k+5)=(k-2)+(2k+1)) से (2k+10=3k-1), इसलिए (k=11)। समीकरण बनाते समय मध्य पद को पहचानें।

Explanation English:
From (2(k+5)=(k-2)+(2k+1)), (2k+10=3k-1), so (k=11). Identify the middle term while forming the equation.

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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Question Hard Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

किस (m) के लिए (m^-1,2m+3,4m-1) अंकगणितीय श्रेणी में होंगे?

For which (m) will (m^-1,2m+3,4m-1) be in an arithmetic progression?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

From (2(2m+3)=(m^-1)+(4m-1)), (4m+6=5m-2), so (m=8). Use the twice-middle-term rule.

Step 2

Why this answer is correct

The correct answer is C. (5). From (2(2m+3)=(m^-1)+(4m-1)), (4m+6=5m-2), so (m=8). Use the twice-middle-term rule.

Step 3

Exam Tip

(2(2m+3)=(m^-1)+(4m-1)) से (4m+6=5m-2), इसलिए (m=8)। मध्य पद का दुगुना नियम लगाएं।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Introduction to APs and common difference.
Difficulty: Hard
Level: 61

Question Hindi:
किस (m) के लिए (m-1,2m+3,4m-1) अंकगणितीय श्रेणी में होंगे?

Question English:
For which (m) will (m-1,2m+3,4m-1) be in an arithmetic progression?

Options:
A. (3)
B. (4)
C. (5)
D. (6)

Correct Answer:
C. (5)

Explanation Hindi:
(2(2m+3)=(m-1)+(4m-1)) से (4m+6=5m-2), इसलिए (m=8)। मध्य पद का दुगुना नियम लगाएं।

Explanation English:
From (2(2m+3)=(m-1)+(4m-1)), (4m+6=5m-2), so (m=8). Use the twice-middle-term rule.

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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- 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.

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Question Expert Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (k+1, 2k+4, 4k-2) अंकगणितीय श्रेणी में हैं, तो (k) का मान क्या होगा?

If (k+1, 2k+4, 4k-2) are in an arithmetic progression, what will be the value of (k)?

Explanation opens after your attempt

Correct Answer

D. (6)

Step 1

Concept

From (2(2k+4)=(k+1)+(4k-2)), (4k+8=5k-1), so (k=9). Identify the middle term correctly while forming the equation.

Step 2

Why this answer is correct

The correct answer is D. (6). From (2(2k+4)=(k+1)+(4k-2)), (4k+8=5k-1), so (k=9). Identify the middle term correctly while forming the equation.

Step 3

Exam Tip

(2(2k+4)=(k+1)+(4k-2)) से (4k+8=5k-1), इसलिए (k=9)। समीकरण बनाते समय मध्य पद को सही पहचानें।

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AI Video Prompt 16:9 + 9:16

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

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- Name: Muft Shiksha
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Question Page:
https://muftshiksha.com/question/if-k-1-2k-4-4k-2-are-in-an-arithmetic-progression-what-will-be-the-value-of-k

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Introduction to APs and common difference.
Difficulty: Expert
Level: 61

Question Hindi:
यदि (k+1, 2k+4, 4k-2) अंकगणितीय श्रेणी में हैं, तो (k) का मान क्या होगा?

Question English:
If (k+1, 2k+4, 4k-2) are in an arithmetic progression, what will be the value of (k)?

Options:
A. (3)
B. (4)
C. (5)
D. (6)

Correct Answer:
D. (6)

Explanation Hindi:
(2(2k+4)=(k+1)+(4k-2)) से (4k+8=5k-1), इसलिए (k=9)। समीकरण बनाते समय मध्य पद को सही पहचानें।

Explanation English:
From (2(2k+4)=(k+1)+(4k-2)), (4k+8=5k-1), so (k=9). Identify the middle term correctly while forming the equation.

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.
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- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class10 #Study

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Question Expert Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (q-3, 2q+1, 4q-1) अंकगणितीय श्रेणी में हैं, तो (q) क्या होगा?

If (q-3, 2q+1, 4q-1) are in an arithmetic progression, what will (q) be?

Explanation opens after your attempt

Correct Answer

D. (5)

Step 1

Concept

From (2(2q+1)=(q-3)+(4q-1)), (4q+2=5q-4), so (q=6). Watch signs while applying the twice-middle-term rule.

Step 2

Why this answer is correct

The correct answer is D. (5). From (2(2q+1)=(q-3)+(4q-1)), (4q+2=5q-4), so (q=6). Watch signs while applying the twice-middle-term rule.

Step 3

Exam Tip

(2(2q+1)=(q-3)+(4q-1)) से (4q+2=5q-4), इसलिए (q=6)। मध्य पद का दुगुना नियम लगाते समय संकेतों पर ध्यान दें।

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AI Video Prompt 16:9 + 9:16

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

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- 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.
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Question Page:
https://muftshiksha.com/question/if-q-3-2q-1-4q-1-are-in-an-arithmetic-progression-what-will-q-be

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Introduction to APs and common difference.
Difficulty: Expert
Level: 61

Question Hindi:
यदि (q-3, 2q+1, 4q-1) अंकगणितीय श्रेणी में हैं, तो (q) क्या होगा?

Question English:
If (q-3, 2q+1, 4q-1) are in an arithmetic progression, what will (q) be?

Options:
A. (2)
B. (3)
C. (4)
D. (5)

Correct Answer:
D. (5)

Explanation Hindi:
(2(2q+1)=(q-3)+(4q-1)) से (4q+2=5q-4), इसलिए (q=6)। मध्य पद का दुगुना नियम लगाते समय संकेतों पर ध्यान दें।

Explanation English:
From (2(2q+1)=(q-3)+(4q-1)), (4q+2=5q-4), so (q=6). Watch signs while applying the twice-middle-term rule.

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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- Add light background music, low volume.
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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.

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Question Hard Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

किस (k) के लिए (k-3, k+2, 2k+1) अंकगणितीय श्रेणी में होंगे?

For which (k) will (k-3, k+2, 2k+1) be in an arithmetic progression?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

From (2(k+2)=(k-3)+(2k+1)), (2k+4=3k-2), so (k=6). Identify the middle term while forming the equation.

Step 2

Why this answer is correct

The correct answer is B. (5). From (2(k+2)=(k-3)+(2k+1)), (2k+4=3k-2), so (k=6). Identify the middle term while forming the equation.

Step 3

Exam Tip

(2(k+2)=(k-3)+(2k+1)) से (2k+4=3k-2), इसलिए (k=6)। समीकरण बनाते समय मध्य पद को पहचानें।

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AI Video Prompt 16:9 + 9:16

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

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- Website: https://muftshiksha.com
- Style: dark navy futuristic learning game UI, neon cyan/blue glow, gold reward highlights, clean Devanagari text, premium educational look.
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Question Page:
https://muftshiksha.com/question/for-which-k-will-k-3-k-2-2k-1-be-in-an-arithmetic-progression

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Introduction to APs and common difference.
Difficulty: Hard
Level: 62

Question Hindi:
किस (k) के लिए (k-3, k+2, 2k+1) अंकगणितीय श्रेणी में होंगे?

Question English:
For which (k) will (k-3, k+2, 2k+1) be in an arithmetic progression?

Options:
A. (4)
B. (5)
C. (6)
D. (7)

Correct Answer:
B. (5)

Explanation Hindi:
(2(k+2)=(k-3)+(2k+1)) से (2k+4=3k-2), इसलिए (k=6)। समीकरण बनाते समय मध्य पद को पहचानें।

Explanation English:
From (2(k+2)=(k-3)+(2k+1)), (2k+4=3k-2), so (k=6). Identify the middle term while forming the equation.

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.
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- 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:
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Question Hard Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

किस (m) के लिए (m+2, 2m+5, 4m+1) अंकगणितीय श्रेणी में होंगे?

For which (m) will (m+2, 2m+5, 4m+1) be in an arithmetic progression?

Explanation opens after your attempt

Correct Answer

A. (4)

Step 1

Concept

From (2(2m+5)=(m+2)+(4m+1)), (4m+10=5m+3), so (m=7). Use the twice-middle-term rule for three terms.

Step 2

Why this answer is correct

The correct answer is A. (4). From (2(2m+5)=(m+2)+(4m+1)), (4m+10=5m+3), so (m=7). Use the twice-middle-term rule for three terms.

Step 3

Exam Tip

(2(2m+5)=(m+2)+(4m+1)) से (4m+10=5m+3), इसलिए (m=7)। तीन पदों में मध्य पद का दुगुना नियम लगाएं।

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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/for-which-m-will-m-2-2m-5-4m-1-be-in-an-arithmetic-progression

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Arithmetic Progressions (AP)
Topic: Introduction to APs and common difference.
Difficulty: Hard
Level: 62

Question Hindi:
किस (m) के लिए (m+2, 2m+5, 4m+1) अंकगणितीय श्रेणी में होंगे?

Question English:
For which (m) will (m+2, 2m+5, 4m+1) be in an arithmetic progression?

Options:
A. (4)
B. (5)
C. (6)
D. (7)

Correct Answer:
A. (4)

Explanation Hindi:
(2(2m+5)=(m+2)+(4m+1)) से (4m+10=5m+3), इसलिए (m=7)। तीन पदों में मध्य पद का दुगुना नियम लगाएं।

Explanation English:
From (2(2m+5)=(m+2)+(4m+1)), (4m+10=5m+3), so (m=7). Use the twice-middle-term rule for three terms.

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

Search Class 10 Questions

किस (k) के लिए (k-2,k+5,2k+1) अंकगणितीय श्रेणी में होंगे?

Concept

Why this answer is correct

Exam Tip

किस (m) के लिए (m-1,2m+3,4m-1) अंकगणितीय श्रेणी में होंगे?

Concept

Why this answer is correct

Exam Tip

यदि (k+1, 2k+4, 4k-2) अंकगणितीय श्रेणी में हैं, तो (k) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (q-3, 2q+1, 4q-1) अंकगणितीय श्रेणी में हैं, तो (q) क्या होगा?

Concept

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किस (k) के लिए (k-3, k+2, 2k+1) अंकगणितीय श्रेणी में होंगे?

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किस (m) के लिए (m+2, 2m+5, 4m+1) अंकगणितीय श्रेणी में होंगे?

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किस (m) के लिए (m^-1,2m+3,4m-1) अंकगणितीय श्रेणी में होंगे?