Class 12 odd natural numbers MCQ Questions

Question 1/3 Medium Mathematics Relations and Functions Onto function Class 12 Level 27

यदि \(f:\mathbb{N}\to {1,3,5,7,\ldots}\), (f(n)=2n-1), तो (f) के बारे में क्या सही है?

If \(f:\mathbb{N}\to {1,3,5,7,\ldots}\), (f(n)=2n-1), what is correct about (f)?

Explanation opens after your attempt

Correct Answer

A. आच्छादक हैOnto

Step 1

Concept

(2n-1) gives all odd natural numbers.

Step 2

Why this answer is correct

The codomain is also the set of odd natural numbers.

Step 3

Exam Tip

If the target set is exactly what the formula produces, the function is onto. चरण 1: (2n-1) सभी विषम प्राकृतिक संख्याएँ देता है। चरण 2: सहक्षेत्र भी विषम प्राकृतिक संख्याओं का समुच्चय है। चरण 3: यदि लक्ष्य समुच्चय वही है जो सूत्र वास्तव में देता है तो फलन आच्छादक होता है।

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MCQ Data:
Class: Class 12
Subject: Mathematics
Chapter: Relations and Functions
Topic: Onto function
Difficulty: Medium
Level: 27

Question Hindi:
यदि (f:\mathbb{N}\to {1,3,5,7,\ldots}), (f(n)=2n-1), तो (f) के बारे में क्या सही है?

Question English:
If (f:\mathbb{N}\to {1,3,5,7,\ldots}), (f(n)=2n-1), what is correct about (f)?

Options:
A. आच्छादक है / Onto
B. आच्छादक नहीं है / Not onto
C. परास सभी प्राकृतिक संख्याएँ हैं / Range is all natural numbers
D. केवल (0) देता है / Gives only (0)

Correct Answer:
A. आच्छादक है / Onto

Explanation Hindi:
चरण 1: (2n-1) सभी विषम प्राकृतिक संख्याएँ देता है। चरण 2: सहक्षेत्र भी विषम प्राकृतिक संख्याओं का समुच्चय है। चरण 3: यदि लक्ष्य समुच्चय वही है जो सूत्र वास्तव में देता है तो फलन आच्छादक होता है।

Explanation English:
Step 1: (2n-1) gives all odd natural numbers. Step 2: The codomain is also the set of odd natural numbers. Step 3: If the target set is exactly what the formula produces, the function is onto.

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Question 2/3 Medium Mathematics Relations and Functions Onto function Class 12 Level 26

यदि \(f:\mathbb{N}\to{1,3,5,\ldots}\), (f(n)=2n-1) है, तो (f) कैसा है?

If \(f:\mathbb{N}\to{1,3,5,\ldots}\), (f(n)=2n-1), what type of function is (f)?

Explanation opens after your attempt

Correct Answer

A. आच्छादी और एकैकीOnto and one-one

Step 1

Concept

The codomain is the set of all odd natural numbers.

Step 2

Why this answer is correct

Every odd number can be written as (y=2k-1), so (k) is its preimage. Different (n) values give different odd numbers.

Step 3

Exam Tip

When the codomain exactly equals the range, the function is onto. चरण 1: सहप्रांत सभी विषम प्राकृतिक संख्याओं का समुच्चय है। चरण 2: हर विषम संख्या (y=2k-1) के रूप में लिखी जा सकती है, इसलिए (k) उसका पूर्वप्रतिबिंब है। अलग (n) अलग विषम संख्याएँ देते हैं। चरण 3: जब सहप्रांत ठीक परास के बराबर हो, फलन आच्छादी होता है।

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MCQ Data:
Class: Class 12
Subject: Mathematics
Chapter: Relations and Functions
Topic: Onto function
Difficulty: Medium
Level: 26

Question Hindi:
यदि (f:\mathbb{N}\to{1,3,5,\ldots}), (f(n)=2n-1) है, तो (f) कैसा है?

Question English:
If (f:\mathbb{N}\to{1,3,5,\ldots}), (f(n)=2n-1), what type of function is (f)?

Options:
A. आच्छादी और एकैकी / Onto and one-one
B. आच्छादी लेकिन एकैकी नहीं / Onto but not one-one
C. एकैकी लेकिन आच्छादी नहीं / One-one but not onto
D. न आच्छादी न एकैकी / Neither onto nor one-one

Correct Answer:
A. आच्छादी और एकैकी / Onto and one-one

Explanation Hindi:
चरण 1: सहप्रांत सभी विषम प्राकृतिक संख्याओं का समुच्चय है। चरण 2: हर विषम संख्या (y=2k-1) के रूप में लिखी जा सकती है, इसलिए (k) उसका पूर्वप्रतिबिंब है। अलग (n) अलग विषम संख्याएँ देते हैं। चरण 3: जब सहप्रांत ठीक परास के बराबर हो, फलन आच्छादी होता है।

Explanation English:
Step 1: The codomain is the set of all odd natural numbers. Step 2: Every odd number can be written as (y=2k-1), so (k) is its preimage. Different (n) values give different odd numbers. Step 3: When the codomain exactly equals the range, the function is onto.

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.
- 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 Easy Mathematics Relations and Functions Onto function Class 12 Level 25

यदि \(f:\mathbb{N}\to{1,3,5,7,\ldots}\), (f(n)=2n-1) है, तो (f) के बारे में सही कथन क्या है?

If \(f:\mathbb{N}\to{1,3,5,7,\ldots}\), (f(n)=2n-1), what is the correct statement about (f)?

Explanation opens after your attempt

Correct Answer

A. यह आच्छादी हैIt is onto

Step 1

Concept

The codomain consists only of odd natural numbers.

Step 2

Why this answer is correct

Every odd number (2k-1) is obtained by taking (n=k).

Step 3

Exam Tip

Choosing the codomain correctly can make the function onto. चरण 1: सहप्रांत केवल विषम प्राकृतिक संख्याओं का है। चरण 2: हर विषम संख्या (2k-1) को (n=k) से पाया जा सकता है। चरण 3: सहप्रांत को सही रूप में चुनने से फलन आच्छादी बन जाता है।

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MCQ Data:
Class: Class 12
Subject: Mathematics
Chapter: Relations and Functions
Topic: Onto function
Difficulty: Easy
Level: 25

Question Hindi:
यदि (f:\mathbb{N}\to{1,3,5,7,\ldots}), (f(n)=2n-1) है, तो (f) के बारे में सही कथन क्या है?

Question English:
If (f:\mathbb{N}\to{1,3,5,7,\ldots}), (f(n)=2n-1), what is the correct statement about (f)?

Options:
A. यह आच्छादी है / It is onto
B. यह आच्छादी नहीं है / It is not onto
C. यह सम मान देता है / It gives even values
D. यह स्थिर है / It is constant

Correct Answer:
A. यह आच्छादी है / It is onto

Explanation Hindi:
चरण 1: सहप्रांत केवल विषम प्राकृतिक संख्याओं का है। चरण 2: हर विषम संख्या (2k-1) को (n=k) से पाया जा सकता है। चरण 3: सहप्रांत को सही रूप में चुनने से फलन आच्छादी बन जाता है।

Explanation English:
Step 1: The codomain consists only of odd natural numbers. Step 2: Every odd number (2k-1) is obtained by taking (n=k). Step 3: Choosing the codomain correctly can make the function onto.

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 #Class12 #Study

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odd natural numbers MCQ Questions for Class 12

Practice Questions

यदि \(f:\mathbb{N}\to {1,3,5,7,\ldots}\), (f(n)=2n-1), तो (f) के बारे में क्या सही है?

Concept

Why this answer is correct

Exam Tip

यदि \(f:\mathbb{N}\to{1,3,5,\ldots}\), (f(n)=2n-1) है, तो (f) कैसा है?

Concept

Why this answer is correct

Exam Tip

यदि \(f:\mathbb{N}\to{1,3,5,7,\ldots}\), (f(n)=2n-1) है, तो (f) के बारे में सही कथन क्या है?

Concept

Why this answer is correct

Exam Tip

odd natural numbers Revision Links

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odd natural numbers MCQ Questions for Class 12

Practice Questions

यदि \(f:\mathbb{N}\to {1,3,5,7,\ldots}\), (f(n)=2n-1), तो (f) के बारे में क्या सही है?

Concept

Why this answer is correct

Exam Tip

यदि \(f:\mathbb{N}\to{1,3,5,\ldots}\), (f(n)=2n-1) है, तो (f) कैसा है?

Concept

Why this answer is correct

Exam Tip

यदि \(f:\mathbb{N}\to{1,3,5,7,\ldots}\), (f(n)=2n-1) है, तो (f) के बारे में सही कथन क्या है?

Concept

Why this answer is correct

Exam Tip

odd natural numbers Revision Links

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