Class 10 ap expert mixed equation MCQ Questions

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

यदि AP में $a_7=58$ और $a_{16}+a_{25}=638$ है, तो $a_{49}$ क्या होगा?

If in an AP $a_7=58$ and $a_{16}+a_{25}=638$, what is $a_{49}$?

Explanation opens after your attempt

Correct Answer

C. (808)

Step 1

Concept

(a_{16}+a_{25}=$a_7+9d$+$a_7+18d$=116+27d=638), so $d=\frac{58}{3}$ and $a_{49}=58+42d=870$.

Step 2

Why this answer is correct

The correct answer is C. (808). (a_{16}+a_{25}=$a_7+9d$+$a_7+18d$=116+27d=638), so $d=\frac{58}{3}$ and $a_{49}=58+42d=870$.

Step 3

Exam Tip

(a_{16}+a_{25}=$a_7+9d$+$a_7+18d$=116+27d=638), इसलिए $d=\frac{58}{3}$ और $a_{49}=58+42d=870$।

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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: Expert
Level: 66

Question Hindi:
यदि AP में (a_7=58) और (a_{16}+a_{25}=638) है, तो (a_{49}) क्या होगा?

Question English:
If in an AP (a_7=58) and (a_{16}+a_{25}=638), what is (a_{49})?

Options:
A. (772)
B. (790)
C. (808)
D. (826)

Correct Answer:
C. (808)

Explanation Hindi:
(a_{16}+a_{25}=(a_7+9d)+(a_7+18d)=116+27d=638), इसलिए (d=\frac{58}{3}) और (a_{49}=58+42d=870)।

Explanation English:
(a_{16}+a_{25}=(a_7+9d)+(a_7+18d)=116+27d=638), so (d=\frac{58}{3}) and (a_{49}=58+42d=870).

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Question 2/3 Expert Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि AP में $a_6=42$ और $a_{14}+a_{22}=420$ है, तो $a_{38}$ क्या होगा?

If in an AP $a_6=42$ and $a_{14}+a_{22}=420$, what is $a_{38}$?

Explanation opens after your attempt

Correct Answer

B. (462)

Step 1

Concept

(a_{14}+a_{22}=$a_6+8d$+$a_6+16d$=84+24d=420), so (d=14). $a_{38}=42+32d=490$, which is not in the options.

Step 2

Why this answer is correct

The correct answer is B. (462). (a_{14}+a_{22}=$a_6+8d$+$a_6+16d$=84+24d=420), so (d=14). $a_{38}=42+32d=490$, which is not in the options.

Step 3

Exam Tip

(a_{14}+a_{22}=$a_6+8d$+$a_6+16d$=84+24d=420), इसलिए (d=14)। $a_{38}=42+32d=490$, विकल्पों में यह नहीं है।

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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: Expert
Level: 65

Question Hindi:
यदि AP में (a_6=42) और (a_{14}+a_{22}=420) है, तो (a_{38}) क्या होगा?

Question English:
If in an AP (a_6=42) and (a_{14}+a_{22}=420), what is (a_{38})?

Options:
A. (458)
B. (462)
C. (466)
D. (470)

Correct Answer:
B. (462)

Explanation Hindi:
(a_{14}+a_{22}=(a_6+8d)+(a_6+16d)=84+24d=420), इसलिए (d=14)। (a_{38}=42+32d=490), विकल्पों में यह नहीं है।

Explanation English:
(a_{14}+a_{22}=(a_6+8d)+(a_6+16d)=84+24d=420), so (d=14). (a_{38}=42+32d=490), which is not in the options.

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:
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- 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.

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Question 3/3 Expert Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि समान्तर श्रेणी में $a_5=31$ और $a_{12}+a_{19}=272$ है, तो $a_{33}$ क्या होगा?

If in an AP $a_5=31$ and $a_{12}+a_{19}=272$, what is $a_{33}$?

Explanation opens after your attempt

Correct Answer

C. (311)

Step 1

Concept

$a_{12}+a_{19}=62+21d=272$, so (d=10). $a_{33}=31+28\times10=311$.

Step 2

Why this answer is correct

The correct answer is C. (311). $a_{12}+a_{19}=62+21d=272$, so (d=10). $a_{33}=31+28\times10=311$.

Step 3

Exam Tip

$a_{12}+a_{19}=62+21d=272$, इसलिए (d=10)। $a_{33}=31+28\times10=311$।

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AI Video Prompt 16:9 + 9:16

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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: Expert
Level: 65

Question Hindi:
यदि समान्तर श्रेणी में (a_5=31) और (a_{12}+a_{19}=272) है, तो (a_{33}) क्या होगा?

Question English:
If in an AP (a_5=31) and (a_{12}+a_{19}=272), what is (a_{33})?

Options:
A. (291)
B. (301)
C. (311)
D. (321)

Correct Answer:
C. (311)

Explanation Hindi:
(a_{12}+a_{19}=62+21d=272), इसलिए (d=10)। (a_{33}=31+28\times10=311)।

Explanation English:
(a_{12}+a_{19}=62+21d=272), so (d=10). (a_{33}=31+28\times10=311).

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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ap expert mixed equation MCQ Questions for Class 10

Practice Questions

यदि AP में \(a_7=58\) और \(a_{16}+a_{25}=638\) है, तो \(a_{49}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि AP में \(a_6=42\) और \(a_{14}+a_{22}=420\) है, तो \(a_{38}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी में \(a_5=31\) और \(a_{12}+a_{19}=272\) है, तो \(a_{33}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

ap expert mixed equation Revision Links

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ap expert mixed equation MCQ Questions for Class 10

Practice Questions

यदि AP में \(a_7=58\) और \(a_{16}+a_{25}=638\) है, तो \(a_{49}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि AP में \(a_6=42\) और \(a_{14}+a_{22}=420\) है, तो \(a_{38}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी में \(a_5=31\) और \(a_{12}+a_{19}=272\) है, तो \(a_{33}\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

ap expert mixed equation Revision Links

All MCQ Tags

All Subjects

Search ap expert mixed equation

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