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

यदि $a_{18}=4a_6$ और $a_6=30$ है तो $a_{30}$ क्या होगा?

If $a_{18}=4a_6$ and $a_6=30$, what is $a_{30}$?

Explanation opens after your attempt

Correct Answer

C. (210)

Step 1

Concept

$a_{18}=120$, so (12d=90) and $d=\frac{15}{2}$. $a_{30}=120+12d=210$.

Step 2

Why this answer is correct

The correct answer is C. (210). $a_{18}=120$, so (12d=90) and $d=\frac{15}{2}$. $a_{30}=120+12d=210$.

Step 3

Exam Tip

$a_{18}=120$ इसलिए (12d=90) और $d=\frac{15}{2}$। $a_{30}=120+12d=210$।

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AI Video Prompt 16:9 + 9:16

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Question Page:
https://muftshiksha.com/question/if-a-18-4a-6-and-a-6-30-what-is-a-30

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_{18}=4a_6) और (a_6=30) है तो (a_{30}) क्या होगा?

Question English:
If (a_{18}=4a_6) and (a_6=30), what is (a_{30})?

Options:
A. (190)
B. (200)
C. (210)
D. (220)

Correct Answer:
C. (210)

Explanation Hindi:
(a_{18}=120) इसलिए (12d=90) और (d=\frac{15}{2})। (a_{30}=120+12d=210)।

Explanation English:
(a_{18}=120), so (12d=90) and (d=\frac{15}{2}). (a_{30}=120+12d=210).

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

एक समान्तर श्रेणी में $a_{11}=4a_3$ और $a_3=18$ है। $a_{15}$ क्या होगा?

In an AP, $a_{11}=4a_3$ and $a_3=18$. What is $a_{15}$?

Explanation opens after your attempt

Correct Answer

C. (99)

Step 1

Concept

$a_{11}=72$ and (8d=54), so $d=\frac{27}{4}$. $a_{15}=72+4d=99$.

Step 2

Why this answer is correct

The correct answer is C. (99). $a_{11}=72$ and (8d=54), so $d=\frac{27}{4}$. $a_{15}=72+4d=99$.

Step 3

Exam Tip

$a_{11}=72$ और (8d=54) इसलिए $d=\frac{27}{4}$। $a_{15}=72+4d=99$।

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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/in-an-ap-a-11-4a-3-and-a-3-18-what-is-a-15

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:
एक समान्तर श्रेणी में (a_{11}=4a_3) और (a_3=18) है। (a_{15}) क्या होगा?

Question English:
In an AP, (a_{11}=4a_3) and (a_3=18). What is (a_{15})?

Options:
A. (90)
B. (96)
C. (99)
D. (108)

Correct Answer:
C. (99)

Explanation Hindi:
(a_{11}=72) और (8d=54) इसलिए (d=\frac{27}{4})। (a_{15}=72+4d=99)।

Explanation English:
(a_{11}=72) and (8d=54), so (d=\frac{27}{4}). (a_{15}=72+4d=99).

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 \(a_{18}=4a_6\) और \(a_6=30\) है तो \(a_{30}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

एक समान्तर श्रेणी में \(a_{11}=4a_3\) और \(a_3=18\) है। \(a_{15}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

Search Class 10 Questions

यदि \(a_{18}=4a_6\) और \(a_6=30\) है तो \(a_{30}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

एक समान्तर श्रेणी में \(a_{11}=4a_3\) और \(a_3=18\) है। \(a_{15}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

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