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Question Expert Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

यदि समान्तर श्रेणी $w-15,w-4,w+7,\ldots$ का (37)वां पद (677) है, तो (w) का मान क्या होगा?

If the (37)th term of the AP $w-15,w-4,w+7,\ldots$ is (677), what is the value of (w)?

Explanation opens after your attempt

Correct Answer

A. (296)

Step 1

Concept

Here (d=11). $677=w-15+36\times11=w+381$, so (w=296).

Step 2

Why this answer is correct

The correct answer is A. (296). Here (d=11). $677=w-15+36\times11=w+381$, so (w=296).

Step 3

Exam Tip

यहां (d=11)। $677=w-15+36\times11=w+381$, इसलिए (w=296)।

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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.

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Question Page:
https://muftshiksha.com/question/if-the-37-th-term-of-the-ap-w-15-w-4-w-7-ldots-is-677-what-is-the-value-of-w

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

Question Hindi:
यदि समान्तर श्रेणी (w-15,w-4,w+7,\ldots) का (37)वां पद (677) है, तो (w) का मान क्या होगा?

Question English:
If the (37)th term of the AP (w-15,w-4,w+7,\ldots) is (677), what is the value of (w)?

Options:
A. (296)
B. (300)
C. (304)
D. (308)

Correct Answer:
A. (296)

Explanation Hindi:
यहां (d=11)। (677=w-15+36\times11=w+381), इसलिए (w=296)।

Explanation English:
Here (d=11). (677=w-15+36\times11=w+381), so (w=296).

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 Expert Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि समान्तर श्रेणी $v-12,v-3,v+6,\ldots$ का (31)वां पद (438) है, तो (v) का मान क्या होगा?

If the (31)st term of the AP $v-12,v-3,v+6,\ldots$ is (438), what is the value of (v)?

Explanation opens after your attempt

Correct Answer

B. (180)

Step 1

Concept

Here (d=9). $438=v-12+30\times9=v+258$, so (v=180).

Step 2

Why this answer is correct

The correct answer is B. (180). Here (d=9). $438=v-12+30\times9=v+258$, so (v=180).

Step 3

Exam Tip

यहां (d=9)। $438=v-12+30\times9=v+258$, इसलिए (v=180)।

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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/if-the-31-st-term-of-the-ap-v-12-v-3-v-6-ldots-is-438-what-is-the-value-of-v

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

Question Hindi:
यदि समान्तर श्रेणी (v-12,v-3,v+6,\ldots) का (31)वां पद (438) है, तो (v) का मान क्या होगा?

Question English:
If the (31)st term of the AP (v-12,v-3,v+6,\ldots) is (438), what is the value of (v)?

Options:
A. (176)
B. (180)
C. (184)
D. (188)

Correct Answer:
B. (180)

Explanation Hindi:
यहां (d=9)। (438=v-12+30\times9=v+258), इसलिए (v=180)।

Explanation English:
Here (d=9). (438=v-12+30\times9=v+258), so (v=180).

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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यदि समान्तर श्रेणी \(w-15,w-4,w+7,\ldots\) का (37)वां पद (677) है, तो (w) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी \(v-12,v-3,v+6,\ldots\) का (31)वां पद (438) है, तो (v) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

Search Class 10 Questions

यदि समान्तर श्रेणी \(w-15,w-4,w+7,\ldots\) का (37)वां पद (677) है, तो (w) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी \(v-12,v-3,v+6,\ldots\) का (31)वां पद (438) है, तो (v) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

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