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100 results found for "budget-missing" in Class 10.

अनुक्रम \(6,10,14,\Box,22,\ldots\) में रिक्त स्थान का मान क्या है?

What is the missing value in \(6,10,14,\Box,22,\ldots\)?

Explanation opens after your attempt
Correct Answer

C. (18)

Step 1

Concept

The common difference is (4). Therefore, (14+4=18) fills the blank.

Step 2

Why this answer is correct

The correct answer is C. (18). The common difference is (4). Therefore, (14+4=18) fills the blank.

Step 3

Exam Tip

यहाँ सार्व अंतर (4) है। इसलिए (14+4=18) रिक्त स्थान में आएगा।

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(p(x)=x-5+3x-3-2) में कौन सी घात अनुपस्थित है?

Which power is missing in (p(x)=x-5+3x-3-2)?

Explanation opens after your attempt
Correct Answer

B. \(x^4\)

Step 1

Concept

The term \(x^4\) is not present in this polynomial. A missing term has coefficient (0).

Step 2

Why this answer is correct

The correct answer is B. \(x^4\). The term \(x^4\) is not present in this polynomial. A missing term has coefficient (0).

Step 3

Exam Tip

इस बहुपद में \(x^4\) का पद नहीं है। अनुपस्थित पद का गुणांक (0) होता है।

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बहुपद \(7x^5-3x^4+x^2-11\) में अनुपस्थित \(x^3\) पद का गुणांक क्या है?

What is the coefficient of the missing \(x^3\) term in \(7x^5-3x^4+x^2-11\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).

Step 2

Why this answer is correct

The correct answer is C. (0). There is no \(x^3\) term in this polynomial. The coefficient of a missing term is taken as (0).

Step 3

Exam Tip

इस बहुपद में \(x^3\) का पद नहीं है। अनुपस्थित पद का गुणांक (0) माना जाता है।

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(p(x)=x-4+2x-2+1) में कौन सी घात अनुपस्थित है?

Which power is missing in (p(x)=x-4+2x-2+1)?

Explanation opens after your attempt
Correct Answer

B. \(x^3\)

Step 1

Concept

The term \(x^3\) is not present in this polynomial. A missing term has coefficient (0).

Step 2

Why this answer is correct

The correct answer is B. \(x^3\). The term \(x^3\) is not present in this polynomial. A missing term has coefficient (0).

Step 3

Exam Tip

इस बहुपद में \(x^3\) का पद नहीं है। अनुपस्थित पद का गुणांक (0) होता है।

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\(x^4+3x^2+2\) में कौन सा पद अनुपस्थित है?

Which term is missing in \(x^4+3x^2+2\)?

Explanation opens after your attempt
Correct Answer

B. \(x^3\)

Step 1

Concept

The \(x^3\)-term is not present in this polynomial. Its coefficient may be taken as (0).

Step 2

Why this answer is correct

The correct answer is B. \(x^3\). The \(x^3\)-term is not present in this polynomial. Its coefficient may be taken as (0).

Step 3

Exam Tip

इस बहुपद में \(x^3\) पद नहीं है। अनुपस्थित पद का गुणांक (0) माना जा सकता है।

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संयुक्त राष्ट्र बजट में भुगतान क्षमता का सिद्धांत किस बात को न्यायसंगत बनाने की कोशिश करता है?

The capacity to pay principle in the UN budget tries to make what more equitable?

Explanation opens after your attempt
Correct Answer

A. सदस्य देशों का वित्तीय योगदानFinancial contribution of member states

Step 1

Concept

This principle tries to set contributions according to economic capacity. Exam tip: connect it with UN finance.

Step 2

Why this answer is correct

The correct answer is A. सदस्य देशों का वित्तीय योगदान / Financial contribution of member states. This principle tries to set contributions according to economic capacity. Exam tip: connect it with UN finance.

Step 3

Exam Tip

यह सिद्धांत आर्थिक क्षमता के अनुसार योगदान तय करने की कोशिश करता है। परीक्षा में इसे संयुक्त राष्ट्र वित्त व्यवस्था से जोड़ें।

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संयुक्त राष्ट्र बजट पर बहस संगठन की किस वास्तविकता को दिखाती है?

Debate over the UN budget shows which reality of the organization?

Explanation opens after your attempt
Correct Answer

A. कार्यक्रमों के लिए सदस्य देशों के योगदान और प्राथमिकताओं पर निर्भरताDependence on member contributions and priorities for programmes

Step 1

Concept

UN capacity is affected by resources and political will. For exams understand institutional limitations.

Step 2

Why this answer is correct

The correct answer is A. कार्यक्रमों के लिए सदस्य देशों के योगदान और प्राथमिकताओं पर निर्भरता / Dependence on member contributions and priorities for programmes. UN capacity is affected by resources and political will. For exams understand institutional limitations.

Step 3

Exam Tip

संयुक्त राष्ट्र की क्षमता संसाधनों और राजनीतिक इच्छा से प्रभावित होती है। परीक्षा में संस्था की सीमाएं समझें।

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संयुक्त राष्ट्र बजट में भुगतान क्षमता का सिद्धांत किस नैतिक तर्क से जुड़ा है?

The capacity to pay principle in the UN budget is linked with which ethical argument?

Explanation opens after your attempt
Correct Answer

A. आर्थिक क्षमता के अनुसार योगदान अधिक न्यायसंगत होता हैContribution according to economic capacity is more equitable

Step 1

Concept

Fixing contributions by capacity to pay is an attempt at financial fairness. Exam tip: connect it with UN finance.

Step 2

Why this answer is correct

The correct answer is A. आर्थिक क्षमता के अनुसार योगदान अधिक न्यायसंगत होता है / Contribution according to economic capacity is more equitable. Fixing contributions by capacity to pay is an attempt at financial fairness. Exam tip: connect it with UN finance.

Step 3

Exam Tip

भुगतान क्षमता से योगदान तय करना वित्तीय न्याय का प्रयास है। परीक्षा में इसे संयुक्त राष्ट्र वित्त व्यवस्था से जोड़ें।

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संयुक्त राष्ट्र बजट में भुगतान क्षमता का सिद्धांत किस समस्या को संबोधित करता है?

The principle of capacity to pay in the UN budget addresses which issue?

Explanation opens after your attempt
Correct Answer

A. देशों की आर्थिक क्षमता के अनुसार योगदान तय करनाFixing contributions according to countries' economic capacity

Step 1

Concept

Member contributions are linked with their capacity to pay. Exam tip: connect it with UN finance system.

Step 2

Why this answer is correct

The correct answer is A. देशों की आर्थिक क्षमता के अनुसार योगदान तय करना / Fixing contributions according to countries' economic capacity. Member contributions are linked with their capacity to pay. Exam tip: connect it with UN finance system.

Step 3

Exam Tip

सदस्य देशों का योगदान उनकी भुगतान क्षमता से जोड़ा जाता है। परीक्षा में इसे संयुक्त राष्ट्र वित्त व्यवस्था से जोड़ें।

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संयुक्त राष्ट्र बजट में सदस्य देशों के योगदान का आधार सामान्यतः किससे जुड़ता है?

The contribution of member states to the UN budget is generally linked with what?

Explanation opens after your attempt
Correct Answer

B. भुगतान क्षमताCapacity to pay

Step 1

Concept

Member contributions are generally linked with the principle of capacity to pay. Exam tip: connect it with UN finance.

Step 2

Why this answer is correct

The correct answer is B. भुगतान क्षमता / Capacity to pay. Member contributions are generally linked with the principle of capacity to pay. Exam tip: connect it with UN finance.

Step 3

Exam Tip

सदस्य देशों का योगदान सामान्यतः भुगतान क्षमता के सिद्धांत से जुड़ता है। परीक्षा में इसे संयुक्त राष्ट्र वित्त व्यवस्था से जोड़ें।

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संयुक्त राष्ट्र में बजट और प्रशासनिक प्रश्न सामान्यतः किस अंग में चर्चा किए जाते हैं?

Budget and administrative questions in the UN are generally discussed in which organ?

Explanation opens after your attempt
Correct Answer

A. महासभाGeneral Assembly

Step 1

Concept

The General Assembly plays an important role in budget and administrative matters. For exams understand it as a broad decision forum.

Step 2

Why this answer is correct

The correct answer is A. महासभा / General Assembly. The General Assembly plays an important role in budget and administrative matters. For exams understand it as a broad decision forum.

Step 3

Exam Tip

महासभा बजट और प्रशासनिक विषयों पर महत्वपूर्ण भूमिका निभाती है। परीक्षा में महासभा को व्यापक निर्णय मंच समझें।

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यदि छायांकन में बीच के मान गायब हैं तो किस प्रकार का सुधार उचित है?

If middle values are missing in shading what type of correction is suitable?

Explanation opens after your attempt
Correct Answer

B. प्रकाश और छाया के बीच क्रमिक मान जोड़नाAdd gradual values between light and shadow

Step 1

Concept

Middle values soften form. Exam tip: keep full value range.

Step 2

Why this answer is correct

The correct answer is B. प्रकाश और छाया के बीच क्रमिक मान जोड़ना / Add gradual values between light and shadow. Middle values soften form. Exam tip: keep full value range.

Step 3

Exam Tip

मध्य मान रूप को कोमल बनाते हैं। परीक्षा में full value range रखें।

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यदि रूप की संरचना सही है पर पड़ी छाया गायब है तो स्थान पर क्या असर होगा?

If form structure is correct but cast shadow is missing what happens to space?

Explanation opens after your attempt
Correct Answer

A. वस्तु सतह से अलग तैरती लग सकती हैObject may seem floating away from surface

Step 1

Concept

Cast shadow connects object to surface. Exam tip: observe cast shadow for grounding.

Step 2

Why this answer is correct

The correct answer is A. वस्तु सतह से अलग तैरती लग सकती है / Object may seem floating away from surface. Cast shadow connects object to surface. Exam tip: observe cast shadow for grounding.

Step 3

Exam Tip

पड़ी छाया वस्तु को सतह से जोड़ती है। परीक्षा में grounding के लिए cast shadow देखें।

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यदि वस्तु के नीचे पड़ी छाया न हो तो चित्र में क्या कमी लग सकती है?

If a cast shadow below an object is missing what may seem lacking in the drawing?

Explanation opens after your attempt
Correct Answer

D. जमीन से संबंध और गहराईContact with ground and depth

Step 1

Concept

Cast shadow connects object with ground and shows space. Exam tip: connect cast shadow with space.

Step 2

Why this answer is correct

The correct answer is D. जमीन से संबंध और गहराई / Contact with ground and depth. Cast shadow connects object with ground and shows space. Exam tip: connect cast shadow with space.

Step 3

Exam Tip

पड़ी छाया वस्तु को जमीन से जोड़ती है और स्थान दिखाती है। परीक्षा में cast shadow को space से जोड़ें।

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बहुपद \(x^5-4x^2+10\) में लुप्त \(x^4\) पद का गुणांक क्या है?

What is the coefficient of the missing \(x^4\) term in \(x^5-4x^2+10\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

A missing term is treated as having coefficient (0). So the coefficient of \(x^4\) is (0).

Step 2

Why this answer is correct

The correct answer is C. (0). A missing term is treated as having coefficient (0). So the coefficient of \(x^4\) is (0).

Step 3

Exam Tip

जो पद लिखा नहीं है उसका गुणांक (0) माना जाता है। इसलिए \(x^4\) का गुणांक (0) है।

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यदि \(\sqrt{3}\) को परिमेय मानकर प्रमाण में विरोधाभास नहीं मिल रहा, तो कौन-सी शर्त शायद छूट गई है?

If no contradiction appears while proving \(\sqrt{3}\) irrational by assuming it rational, which condition is probably missing?

Explanation opens after your attempt
Correct Answer

A. भिन्न को सरलतम रूप में लेनाTaking the fraction in lowest form

Step 1

Concept

The contradiction works only when numerator and denominator are first assumed coprime.

Step 2

Why this answer is correct

If lowest form is missing, a common factor will not be decisive.

Step 3

Exam Tip

So write the fraction in lowest form at the start. चरण 1: विरोधाभास तभी बनेगा जब अंश और हर पहले से सहअभाज्य माने गए हों। चरण 2: सरलतम रूप छूटने पर साझा गुणनखंड मिलना निर्णायक नहीं रहेगा। चरण 3: इसलिए आरंभ में ही सरलतम भिन्न लिखें।

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यदि \(\sqrt{2}\) का प्रमाण लिखते समय छात्र \(q\neq0\) नहीं लिखता, तो क्या कमी रह जाती है?

If a student does not write \(q\neq0\) while proving \(\sqrt{2}\) irrational, what is missing?

Explanation opens after your attempt
Correct Answer

A. परिमेय संख्या के रूप की आवश्यक शर्त अधूरी रह जाती हैThe necessary condition of the rational form is incomplete

Step 1

Concept

\(\frac{p}{q}\) is valid only when \(q\neq0\).

Step 2

Why this answer is correct

This condition is necessary when writing the rational form.

Step 3

Exam Tip

Small conditions make the proof complete. चरण 1: \(\frac{p}{q}\) तभी मान्य है जब \(q\neq0\) हो। चरण 2: परिमेय रूप लिखते समय यह शर्त जरूरी है। चरण 3: छोटी शर्तें भी प्रमाण को पूर्ण बनाती हैं।

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यदि किसी उत्तर में केवल ध्वज का वर्णन हो तो सामूहिक अपनेपन के संदर्भ में क्या कमी रहेगी?

If an answer describes only the flag what would be missing in the context of collective belonging?

Explanation opens after your attempt
Correct Answer

D. गीत लोककथा इतिहास और जनभागीदारी जैसे अन्य साधनों की चर्चाDiscussion of other tools like songs folklore history and public participation

Step 1

Concept

The flag is an important symbol but not the only tool.

Step 2

Why this answer is correct

Collective belonging was also formed through songs folklore history art and public participation.

Step 3

Exam Tip

In exams add multiple examples for a complete answer. चरण 1: ध्वज महत्वपूर्ण प्रतीक है लेकिन अकेला साधन नहीं। चरण 2: सामूहिक अपनापन गीत लोककथा इतिहास कला और जनभागीदारी से भी बना। चरण 3: परीक्षा में पूरा उत्तर देने के लिए अनेक उदाहरण जोड़ें।

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अगर किसी उत्तर में केवल भारत माता लिखा हो और लोककथाएं न लिखी हों तो क्या कमी रह जाएगी?

If an answer mentions only Bharat Mata and not folk tales, what would be missing?

Explanation opens after your attempt
Correct Answer

A. सांस्कृतिक विरासत और जनता की लोक पहचान वाला पक्ष छूट जाएगाThe side of cultural heritage and people’s folk identity would be missing

Step 1

Concept

Bharat Mata is an emotional symbol.

Step 2

Why this answer is correct

Folk tales show the cultural roots of people.

Step 3

Exam Tip

In a complete answer include different cultural tools. चरण 1: भारत माता भावनात्मक प्रतीक है। चरण 2: लोककथाएं जनता की सांस्कृतिक जड़ों को दिखाती हैं। चरण 3: पूरे उत्तर में अलग अलग सांस्कृतिक साधन शामिल करें।

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यदि कोई छात्र असहयोग आंदोलन को केवल विदेशी वस्त्रों के बहिष्कार तक सीमित बताए तो क्या कमी रह जाएगी?

What would be missing if a student describes Non-Cooperation only as boycott of foreign cloth?

Explanation opens after your attempt
Correct Answer

A. वह संस्थाओं उपाधियों चुनावों शिक्षा न्याय और कर के प्रश्नों को छोड़ देगाThe student would miss issues of institutions titles elections education justice and tax

Step 1

Concept

Boycott of foreign cloth was one part of the movement.

Step 2

Why this answer is correct

Non-Cooperation had many institutional economic and moral steps.

Step 3

Exam Tip

Therefore it should be written as a broad anti-colonial protest. चरण 1: विदेशी वस्त्रों का बहिष्कार आंदोलन का एक पक्ष था। चरण 2: असहयोग में कई संस्थागत आर्थिक और नैतिक कदम थे। चरण 3: इसलिए इसे व्यापक औपनिवेशिक विरोध के रूप में लिखना चाहिए।

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यदि (-6,s,10,18) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (s) क्या होगा?

If (-6,s,10,18) are consecutive terms of an arithmetic progression, what will (s) be?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

(18-10=8), so (s=10-8=2). While moving backward, subtract the same (d).

Step 2

Why this answer is correct

The correct answer is B. (2). (18-10=8), so (s=10-8=2). While moving backward, subtract the same (d).

Step 3

Exam Tip

(18-10=8), इसलिए (s=10-8=2)। पीछे की ओर चलते समय वही (d) घटाएं।

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यदि (2,x+3,3x+1,20) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (x) क्या होगा?

If (2,x+3,3x+1,20) are consecutive terms of an arithmetic progression, what will (x) be?

Explanation opens after your attempt
Correct Answer

D. कोई मान नहींNo value

Step 1

Concept

(20-2=18) is split into three gaps, so the second term should be (8) and the third (14). This gives (x=5) and \(x=\frac{13}{3}\), so no single value is possible.

Step 2

Why this answer is correct

The correct answer is D. कोई मान नहीं / No value. (20-2=18) is split into three gaps, so the second term should be (8) and the third (14). This gives (x=5) and \(x=\frac{13}{3}\), so no single value is possible.

Step 3

Exam Tip

(20-2=18) तीन अंतरालों में बंटता है, इसलिए दूसरा पद (8) और तीसरा (14) होना चाहिए। इससे (x=5) और \(x=\frac{13}{3}\) मिलते हैं, इसलिए कोई एक मान संभव नहीं है।

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यदि (2,x,y,20) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (x+y) कितना होगा?

If (2,x,y,20) are consecutive terms of an arithmetic progression, what is (x+y)?

Explanation opens after your attempt
Correct Answer

C. (22)

Step 1

Concept

The total difference (20-2=18) is split into three equal gaps, so (d=6). Hence (x=8), (y=14), and (x+y=22).

Step 2

Why this answer is correct

The correct answer is C. (22). The total difference (20-2=18) is split into three equal gaps, so (d=6). Hence (x=8), (y=14), and (x+y=22).

Step 3

Exam Tip

कुल अंतर (20-2=18) तीन बराबर भागों में बंटेगा, इसलिए (d=6)। अतः (x=8), (y=14) और (x+y=22)।

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यदि (7,u,19,25) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (u) का मान क्या है?

If (7,u,19,25) are consecutive terms of an arithmetic progression, what is the value of (u)?

Explanation opens after your attempt
Correct Answer

C. (13)

Step 1

Concept

(25-19=6), so (u=19-6=13). While finding a missing term, apply the same difference backward too.

Step 2

Why this answer is correct

The correct answer is C. (13). (25-19=6), so (u=19-6=13). While finding a missing term, apply the same difference backward too.

Step 3

Exam Tip

(25-19=6), इसलिए (u=19-6=13)। खाली पद निकालते समय समान अंतर को पीछे की ओर भी लगाएं।

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यदि (4, x+1, 2x+4, 25) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (x) का मान क्या है?

If (4, x+1, 2x+4, 25) are consecutive terms of an arithmetic progression, what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (10)

Step 1

Concept

(25-4=21) is split into three equal gaps, so (d=7), and (x+1=11) gives (x=10). In four consecutive terms, finding (d) from first and last terms is fast.

Step 2

Why this answer is correct

The correct answer is C. (10). (25-4=21) is split into three equal gaps, so (d=7), and (x+1=11) gives (x=10). In four consecutive terms, finding (d) from first and last terms is fast.

Step 3

Exam Tip

(25-4=21) तीन समान अंतरालों में बंटता है, इसलिए (d=7) और (x+1=11) से (x=10)। चार क्रमागत पदों में पहले और अंतिम पद से (d) निकालना तेज होता है।

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यदि (2, x, 3x, 26) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (x) क्या है?

If (2, x, 3x, 26) are consecutive terms of an arithmetic progression, what is (x)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

The total difference (26-2=24) splits into three equal gaps, so (d=8) and the second term should be (10); hence (x=10), but the third (3x=30), so there is no solution.

Step 2

Why this answer is correct

The correct answer is A. (6). The total difference (26-2=24) splits into three equal gaps, so (d=8) and the second term should be (10); hence (x=10), but the third (3x=30), so there is no solution.

Step 3

Exam Tip

कुल अंतर (26-2=24) तीन समान भागों में बंटता है, इसलिए (d=8) और दूसरा पद (10) होना चाहिए; अतः (x=10), पर तीसरा (3x=30) होगा, इसलिए कोई समाधान नहीं।

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यदि (-10, s, 2, 8) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (s) क्या होगा?

If (-10, s, 2, 8) are consecutive terms of an arithmetic progression, what will (s) be?

Explanation opens after your attempt
Correct Answer

B. (-4)

Step 1

Concept

The difference from (2) to (8) is (6), so (s=2-6=-4). While moving backward, subtract the same (d).

Step 2

Why this answer is correct

The correct answer is B. (-4). The difference from (2) to (8) is (6), so (s=2-6=-4). While moving backward, subtract the same (d).

Step 3

Exam Tip

(2) से (8) तक अंतर (6) है, इसलिए (s=2-6=-4)। पीछे की ओर चलते समय वही (d) घटाएं।

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यदि (5, x, y, 29) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (x+y) कितना होगा?

If (5, x, y, 29) are consecutive terms of an arithmetic progression, what is (x+y)?

Explanation opens after your attempt
Correct Answer

D. (34)

Step 1

Concept

The total difference (29-5=24) is split into three equal gaps, so (d=8), (x=13), and (y=21). For two missing terms, divide the total difference into equal gaps.

Step 2

Why this answer is correct

The correct answer is D. (34). The total difference (29-5=24) is split into three equal gaps, so (d=8), (x=13), and (y=21). For two missing terms, divide the total difference into equal gaps.

Step 3

Exam Tip

कुल अंतर (29-5=24) तीन बराबर भागों में बंटता है, इसलिए (d=8), (x=13), (y=21)। दो खाली पदों में कुल अंतर को बराबर अंतरालों में बांटें।

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यदि (-4, s, 8, 14) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (s) क्या होगा?

If (-4, s, 8, 14) are consecutive terms of an arithmetic progression, what will (s) be?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

The difference from (8) to (14) is (6), so (s=8-6=2). While moving backward, subtract the same (d).

Step 2

Why this answer is correct

The correct answer is B. (2). The difference from (8) to (14) is (6), so (s=8-6=2). While moving backward, subtract the same (d).

Step 3

Exam Tip

(8) से (14) तक अंतर (6) है, इसलिए (s=8-6=2)। पीछे की ओर चलते समय भी वही (d) घटाएं।

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यदि (2, x+1, 3x-1, 14) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (x) का मान क्या है?

If (2, x+1, 3x-1, 14) are consecutive terms of an arithmetic progression, what is (x)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

The total difference (14-2=12) is split into three equal gaps, so (d=4), and the second term should be (6), hence (x=5). Splitting the total difference into equal parts is useful.

Step 2

Why this answer is correct

The correct answer is B. (4). The total difference (14-2=12) is split into three equal gaps, so (d=4), and the second term should be (6), hence (x=5). Splitting the total difference into equal parts is useful.

Step 3

Exam Tip

कुल अंतर (14-2=12) तीन बराबर भागों में बंटेगा, इसलिए (d=4) और (x+1=6) नहीं बल्कि दूसरा पद (6) होना चाहिए, अतः (x=5)। कुल अंतर को समान भागों में बांटना उपयोगी है।

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यदि (3, x, y, 24) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (x+y) का मान क्या है?

If (3, x, y, 24) are consecutive terms of an arithmetic progression, what is the value of (x+y)?

Explanation opens after your attempt
Correct Answer

C. (27)

Step 1

Concept

There are three equal gaps, so \(d=\frac{24-3}{3}=7\), hence (x=10) and (y=17). For two missing terms, split the total difference into equal gaps.

Step 2

Why this answer is correct

The correct answer is C. (27). There are three equal gaps, so \(d=\frac{24-3}{3}=7\), hence (x=10) and (y=17). For two missing terms, split the total difference into equal gaps.

Step 3

Exam Tip

तीन समान अंतर हैं, इसलिए \(d=\frac{24-3}{3}=7\), अतः (x=10) और (y=17)। दो खाली पद हों तो कुल अंतर को बराबर भागों में बांटें।

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यदि (4, y, 16, 22) अंकगणितीय श्रेणी के क्रमागत पद हैं, तो (y) का मान क्या होगा?

If (4, y, 16, 22) are consecutive terms of an arithmetic progression, what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (10)

Step 1

Concept

The difference from (16) to (22) is (6), so (y=16-6=10). Use the same difference both forward and backward for missing terms.

Step 2

Why this answer is correct

The correct answer is B. (10). The difference from (16) to (22) is (6), so (y=16-6=10). Use the same difference both forward and backward for missing terms.

Step 3

Exam Tip

(16) से (22) का अंतर (6) है, इसलिए (y=16-6=10)। खाली पद निकालने में समान अंतर को आगे और पीछे दोनों तरफ लगाएं।

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यदि (5,x,y,20) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (x) और (y) के मान क्या होंगे?

If (5,x,y,20) are consecutive terms of an arithmetic progression, what will be the values of (x) and (y)?

Explanation opens after your attempt
Correct Answer

B. (x=10,y=15)

Step 1

Concept

There are three equal gaps from (5) to (20), so \(d=\frac{20-5}{3}=5\), hence (x=10) and (y=15). Find missing terms by splitting the total difference into equal gaps.

Step 2

Why this answer is correct

The correct answer is B. (x=10,y=15). There are three equal gaps from (5) to (20), so \(d=\frac{20-5}{3}=5\), hence (x=10) and (y=15). Find missing terms by splitting the total difference into equal gaps.

Step 3

Exam Tip

(5) से (20) तक तीन समान अंतर हैं इसलिए \(d=\frac{20-5}{3}=5\), अतः (x=10) और (y=15)। दो पदों के बीच समान अंतर बांटकर खाली पद निकालें।

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यदि (13,b,31) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (b) का मान क्या है?

If (13,b,31) are consecutive terms of an arithmetic progression, what is the value of (b)?

Explanation opens after your attempt
Correct Answer

C. (22)

Step 1

Concept

The middle term is \(b=\frac{13+31}{2}=22\). In three consecutive terms the middle term is the average.

Step 2

Why this answer is correct

The correct answer is C. (22). The middle term is \(b=\frac{13+31}{2}=22\). In three consecutive terms the middle term is the average.

Step 3

Exam Tip

मध्य पद \(b=\frac{13+31}{2}=22\) है। तीन क्रमागत पदों में बीच वाला पद औसत होता है।

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यदि \(4,10,16,r,\ldots\) अंकगणितीय श्रेणी है तो (r) क्या होगा?

If \(4,10,16,r,\ldots\) is an arithmetic progression, what will (r) be?

Explanation opens after your attempt
Correct Answer

C. (22)

Step 1

Concept

The common difference is (6), so (r=16+6=22). Add (d) to the previous term to get the next term.

Step 2

Why this answer is correct

The correct answer is C. (22). The common difference is (6), so (r=16+6=22). Add (d) to the previous term to get the next term.

Step 3

Exam Tip

सार्व अंतर (6) है इसलिए (r=16+6=22)। अगला पद पाने के लिए पिछले पद में (d) जोड़ें।

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यदि \(48,42,q,30,\ldots\) अंकगणितीय श्रेणी है तो (q) का मान क्या है?

If \(48,42,q,30,\ldots\) is an arithmetic progression, what is the value of (q)?

Explanation opens after your attempt
Correct Answer

C. (36)

Step 1

Concept

The common difference is (42-48=-6), so (q=42-6=36). Keep (d) negative in a decreasing progression.

Step 2

Why this answer is correct

The correct answer is C. (36). The common difference is (42-48=-6), so (q=42-6=36). Keep (d) negative in a decreasing progression.

Step 3

Exam Tip

सार्व अंतर (42-48=-6) है इसलिए (q=42-6=36)। घटती श्रेणी में (d) ऋणात्मक रखें।

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यदि (5,11,n,23) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (n) क्या है?

If (5,11,n,23) are consecutive terms of an arithmetic progression, what is (n)?

Explanation opens after your attempt
Correct Answer

C. (17)

Step 1

Concept

The common difference is (11-5=6), so (n=11+6=17). It is easy to find (d) from the first two terms.

Step 2

Why this answer is correct

The correct answer is C. (17). The common difference is (11-5=6), so (n=11+6=17). It is easy to find (d) from the first two terms.

Step 3

Exam Tip

सार्व अंतर (11-5=6) है इसलिए (n=11+6=17)। पहले दो पदों से (d) निकालना आसान होता है।

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यदि (8,m,20) किसी अंकगणितीय श्रेणी के क्रमागत तीन पद हैं तो (m) क्या है?

If (8,m,20) are three consecutive terms of an arithmetic progression, what is (m)?

Explanation opens after your attempt
Correct Answer

C. (14)

Step 1

Concept

The middle term is \(m=\frac{8+20}{2}=14\). In three consecutive terms the middle term is the average.

Step 2

Why this answer is correct

The correct answer is C. (14). The middle term is \(m=\frac{8+20}{2}=14\). In three consecutive terms the middle term is the average.

Step 3

Exam Tip

मध्य पद \(m=\frac{8+20}{2}=14\) है। तीन क्रमागत पदों में बीच वाला पद औसत होता है।

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यदि \(p,18,25,32,\ldots\) एक अंकगणितीय श्रेणी है तो (p) का मान क्या है?

If \(p,18,25,32,\ldots\) is an arithmetic progression, what is the value of (p)?

Explanation opens after your attempt
Correct Answer

C. (11)

Step 1

Concept

The common difference in (18,25,32) is (7), so (p=18-7=11). For the first term subtract (d) backward.

Step 2

Why this answer is correct

The correct answer is C. (11). The common difference in (18,25,32) is (7), so (p=18-7=11). For the first term subtract (d) backward.

Step 3

Exam Tip

(18,25,32) में सार्व अंतर (7) है इसलिए (p=18-7=11)। पहले पद के लिए (d) को पीछे की ओर घटाएं।

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यदि \(9,k,23,30,\ldots\) एक अंकगणितीय श्रेणी है तो (k) का मान क्या होगा?

If \(9,k,23,30,\ldots\) is an arithmetic progression, what will be the value of (k)?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

The difference from (23) to (30) is (7), so (k=23-7=16). For a missing term use the same difference backward.

Step 2

Why this answer is correct

The correct answer is C. (16). The difference from (23) to (30) is (7), so (k=23-7=16). For a missing term use the same difference backward.

Step 3

Exam Tip

(23) से (30) तक अंतर (7) है इसलिए (k=23-7=16)। खाली पद निकालते समय समान अंतर को पीछे की ओर लगाएं।

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यदि \(6,u,18,24,\ldots\) एक अंकगणितीय श्रेणी है तो (u) का मान क्या होगा?

If \(6,u,18,24,\ldots\) is an arithmetic progression, what will be the value of (u)?

Explanation opens after your attempt
Correct Answer

B. (12)

Step 1

Concept

The difference from (18) to (24) is (6), so (u=18-6=12). While finding a missing term use the same difference forward and backward.

Step 2

Why this answer is correct

The correct answer is B. (12). The difference from (18) to (24) is (6), so (u=18-6=12). While finding a missing term use the same difference forward and backward.

Step 3

Exam Tip

(18) से (24) तक अंतर (6) है इसलिए (u=18-6=12)। खाली पद निकालते समय समान अंतर को आगे और पीछे दोनों तरफ लगाएं।

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यदि (9,b,21) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (b) का मान क्या है?

If (9,b,21) are consecutive terms of an arithmetic progression, what is the value of (b)?

Explanation opens after your attempt
Correct Answer

C. (15)

Step 1

Concept

The middle term is \(b=\frac{9+21}{2}=15\). In three consecutive terms the middle term is the average.

Step 2

Why this answer is correct

The correct answer is C. (15). The middle term is \(b=\frac{9+21}{2}=15\). In three consecutive terms the middle term is the average.

Step 3

Exam Tip

मध्य पद \(b=\frac{9+21}{2}=15\) है। तीन क्रमागत पदों में बीच वाला पद औसत होता है।

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यदि \(2,5,8,r,\ldots\) अंकगणितीय श्रेणी है तो (r) क्या होगा?

If \(2,5,8,r,\ldots\) is an arithmetic progression, what will (r) be?

Explanation opens after your attempt
Correct Answer

D. (11)

Step 1

Concept

The common difference is (3), so (r=8+3=11). Add (d) to the previous term to get the next term.

Step 2

Why this answer is correct

The correct answer is D. (11). The common difference is (3), so (r=8+3=11). Add (d) to the previous term to get the next term.

Step 3

Exam Tip

सार्व अंतर (3) है इसलिए (r=8+3=11)। अगला पद पाने के लिए पिछले पद में (d) जोड़ें।

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यदि \(21,18,q,12,\ldots\) अंकगणितीय श्रेणी है तो (q) का मान क्या है?

If \(21,18,q,12,\ldots\) is an arithmetic progression, what is the value of (q)?

Explanation opens after your attempt
Correct Answer

D. (15)

Step 1

Concept

The common difference is (18-21=-3), so (q=18-3=15). Keep (d) negative in a decreasing progression.

Step 2

Why this answer is correct

The correct answer is D. (15). The common difference is (18-21=-3), so (q=18-3=15). Keep (d) negative in a decreasing progression.

Step 3

Exam Tip

सार्व अंतर (18-21=-3) है इसलिए (q=18-3=15)। घटती श्रेणी में (d) को ऋणात्मक रखें।

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यदि (6,10,n,18) अंकगणितीय श्रेणी के क्रमागत पद हैं तो (n) क्या है?

If (6,10,n,18) are consecutive terms of an arithmetic progression, what is (n)?

Explanation opens after your attempt
Correct Answer

D. (14)

Step 1

Concept

The common difference is (10-6=4), so (n=10+4=14). It is easy to find (d) from the first two terms.

Step 2

Why this answer is correct

The correct answer is D. (14). The common difference is (10-6=4), so (n=10+4=14). It is easy to find (d) from the first two terms.

Step 3

Exam Tip

सार्व अंतर (10-6=4) है इसलिए (n=10+4=14)। पहले दो पदों से (d) निकालना आसान होता है।

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यदि (3,m,11) किसी अंकगणितीय श्रेणी के क्रमागत तीन पद हैं तो (m) क्या है?

If (3,m,11) are three consecutive terms of an arithmetic progression, what is (m)?

Explanation opens after your attempt
Correct Answer

A. (7)

Step 1

Concept

The middle term is the average of (3) and (11), so \(m=\frac{3+11}{2}=7\). In three consecutive terms the middle term is the average.

Step 2

Why this answer is correct

The correct answer is A. (7). The middle term is the average of (3) and (11), so \(m=\frac{3+11}{2}=7\). In three consecutive terms the middle term is the average.

Step 3

Exam Tip

बीच का पद (3) और (11) का औसत है इसलिए \(m=\frac{3+11}{2}=7\)। तीन क्रमागत पदों में मध्य पद औसत होता है।

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यदि \(p,11,15,19,\ldots\) एक अंकगणितीय श्रेणी है तो (p) का मान क्या है?

If \(p,11,15,19,\ldots\) is an arithmetic progression, what is the value of (p)?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The common difference in (11,15,19) is (4), so (p=11-4=7). For the first term move backward by subtracting (d).

Step 2

Why this answer is correct

The correct answer is C. (7). The common difference in (11,15,19) is (4), so (p=11-4=7). For the first term move backward by subtracting (d).

Step 3

Exam Tip

(11,15,19) में सार्व अंतर (4) है इसलिए (p=11-4=7)। पहले पद के लिए पीछे की ओर (d) घटाएं।

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यदि \(4,k,14,19,\ldots\) एक अंकगणितीय श्रेणी है तो (k) का मान क्या होगा?

If \(4,k,14,19,\ldots\) is an arithmetic progression, what is the value of (k)?

Explanation opens after your attempt
Correct Answer

D. (9)

Step 1

Concept

The difference from (14) to (19) is (5), so (k=14-5=9). Use the equal difference rule for missing terms.

Step 2

Why this answer is correct

The correct answer is D. (9). The difference from (14) to (19) is (5), so (k=14-5=9). Use the equal difference rule for missing terms.

Step 3

Exam Tip

यहां (14) से (19) तक अंतर (5) है इसलिए (k=14-5=9)। खाली पद में भी समान अंतर का नियम लगाएं।

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अनुक्रम \(5,11,17,\Box,29,\ldots\) में \(\Box\) का मान क्या है?

In the sequence \(5,11,17,\Box,29,\ldots\), what is the value of \(\Box\)?

Explanation opens after your attempt
Correct Answer

C. (23)

Step 1

Concept

The common difference is (6). Therefore, (17+6=23).

Step 2

Why this answer is correct

The correct answer is C. (23). The common difference is (6). Therefore, (17+6=23).

Step 3

Exam Tip

यहाँ सार्व अंतर (6) है। इसलिए (17+6=23) होगा।

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अनुक्रम \(4,9,14,\Box,24,\ldots\) में \(\Box\) का मान क्या है?

In the sequence \(4,9,14,\Box,24,\ldots\), what is the value of \(\Box\)?

Explanation opens after your attempt
Correct Answer

C. (19)

Step 1

Concept

The common difference is (5). Therefore, (14+5=19).

Step 2

Why this answer is correct

The correct answer is C. (19). The common difference is (5). Therefore, (14+5=19).

Step 3

Exam Tip

यहाँ सार्व अंतर (5) है। इसलिए (14+5=19) होगा।

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(p(x)=4x-6-5x-4+2x-2-11) में \(x^5\) का गुणांक क्या है?

What is the coefficient of \(x^5\) in (p(x)=4x-6-5x-4+2x-2-11)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The \(x^5\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^5\).

Step 2

Why this answer is correct

The correct answer is A. (0). The \(x^5\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^5\).

Step 3

Exam Tip

\(x^5\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^5\) मानें।

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(p(x)=3x-5-2x-4+7x-6) में \(x^3\) का गुणांक क्या है?

What is the coefficient of \(x^3\) in (p(x)=3x-5-2x-4+7x-6)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The \(x^3\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^3\).

Step 2

Why this answer is correct

The correct answer is A. (0). The \(x^3\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^3\).

Step 3

Exam Tip

\(x^3\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^3\) मानें।

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(p(x)=2x-4-3x-3+5x-9) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in (p(x)=2x-4-3x-3+5x-9)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The \(x^2\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^2\).

Step 2

Why this answer is correct

The correct answer is A. (0). The \(x^2\)-term is missing, so its coefficient is (0). Treat the missing term as \(0x^2\).

Step 3

Exam Tip

\(x^2\) का पद अनुपस्थित है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^2\) मानें।

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(p(x)=7x-4-2x-2+9) में \(x^3\) का गुणांक क्या है?

What is the coefficient of \(x^3\) in (p(x)=7x-4-2x-2+9)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

There is no \(x^3\)-term, so its coefficient is (0). Treat the missing term as \(0x^3\).

Step 2

Why this answer is correct

The correct answer is C. (0). There is no \(x^3\)-term, so its coefficient is (0). Treat the missing term as \(0x^3\).

Step 3

Exam Tip

\(x^3\) का पद उपस्थित नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद को \(0x^3\) समझें।

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बहुपद (p(x)=5x-3+0x-2-4x+12) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in (p(x)=5x-3+0x-2-4x+12)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The \(x^2\)-term is \(0x^2\), so the coefficient is (0). A missing or zero term has coefficient (0).

Step 2

Why this answer is correct

The correct answer is A. (0). The \(x^2\)-term is \(0x^2\), so the coefficient is (0). A missing or zero term has coefficient (0).

Step 3

Exam Tip

\(x^2\) वाला पद \(0x^2\) है इसलिए गुणांक (0) है। अनुपस्थित या शून्य पद का गुणांक (0) माना जाता है।

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बहुपद \(2x^4+3x^2-5x+7\) में \(x^3\) के गुणांक और (x) के गुणांक का योग क्या है?

In \(2x^4+3x^2-5x+7\), what is the sum of the coefficient of \(x^3\) and the coefficient of (x)?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The coefficient of \(x^3\) is (0) and the coefficient of (x) is (-5). The sum is (-5).

Step 2

Why this answer is correct

The correct answer is A. (-5). The coefficient of \(x^3\) is (0) and the coefficient of (x) is (-5). The sum is (-5).

Step 3

Exam Tip

\(x^3\) का गुणांक (0) और (x) का गुणांक (-5) है। योग (-5) है।

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निम्न में से किस बहुपद में (x) का गुणांक (0) है?

In which of the following polynomials is the coefficient of (x) equal to (0)?

Explanation opens after your attempt
Correct Answer

B. \(3x^2-4\)

Step 1

Concept

In \(3x^2-4\), there is no (x)-term. So the coefficient of (x) is (0).

Step 2

Why this answer is correct

The correct answer is B. \(3x^2-4\). In \(3x^2-4\), there is no (x)-term. So the coefficient of (x) is (0).

Step 3

Exam Tip

\(3x^2-4\) में (x) का पद नहीं है। इसलिए (x) का गुणांक (0) है।

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(p(x)=2x-3+3x-2-5) में (x) का गुणांक क्या है?

What is the coefficient of (x) in (p(x)=2x-3+3x-2-5)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

There is no (x)-term, so its coefficient is (0). Treat the missing term as (0x).

Step 2

Why this answer is correct

The correct answer is C. (0). There is no (x)-term, so its coefficient is (0). Treat the missing term as (0x).

Step 3

Exam Tip

इसमें (x) का पद उपस्थित नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद को (0x) समझें।

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बहुपद (p(x)=2x-2+0x+3) में (x) का गुणांक क्या है?

What is the coefficient of (x) in (p(x)=2x-2+0x+3)?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The (x)-term is (0x), so the coefficient of (x) is (0). Treat a missing term as having coefficient (0).

Step 2

Why this answer is correct

The correct answer is A. (0). The (x)-term is (0x), so the coefficient of (x) is (0). Treat a missing term as having coefficient (0).

Step 3

Exam Tip

(x) वाला पद (0x) है इसलिए (x) का गुणांक (0) है। अनुपस्थित पद का गुणांक (0) मानें।

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बहुपद \(x^3+4x^2-5\) में (x) का गुणांक क्या है?

What is the coefficient of (x) in \(x^3+4x^2-5\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

It has no (x)-term, so the coefficient of (x) is (0). It is important to identify missing terms quickly.

Step 2

Why this answer is correct

The correct answer is C. (0). It has no (x)-term, so the coefficient of (x) is (0). It is important to identify missing terms quickly.

Step 3

Exam Tip

इसमें (x) का पद नहीं है इसलिए (x) का गुणांक (0) है। अनुपस्थित पद को तुरंत पहचानना जरूरी है।

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\(2x^3-7\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(2x^3-7\)?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

There is no \(x^2\) term, so the coefficient is (0). A missing power can be treated as a term with zero coefficient.

Step 2

Why this answer is correct

The correct answer is B. (0). There is no \(x^2\) term, so the coefficient is (0). A missing power can be treated as a term with zero coefficient.

Step 3

Exam Tip

\(x^2\) का कोई पद नहीं है इसलिए गुणांक (0) है। अनुपस्थित घात को शून्य गुणांक वाला पद माना जा सकता है।

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बहुपद \(8x^5-3x^2+4\) में \(x^3\) का गुणांक क्या है?

What is the coefficient of \(x^3\) in \(8x^5-3x^2+4\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

There is no \(x^3\) term, so its coefficient is (0). The coefficient of a missing term is taken as (0).

Step 2

Why this answer is correct

The correct answer is C. (0). There is no \(x^3\) term, so its coefficient is (0). The coefficient of a missing term is taken as (0).

Step 3

Exam Tip

इस बहुपद में \(x^3\) का पद नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक (0) माना जाता है।

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यदि (p(x)=2x-3-5x+9) है, तो इसमें \(x^2\) का गुणांक क्या है?

If (p(x)=2x-3-5x+9), what is the coefficient of \(x^2\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Step 1

Concept

There is no \(x^2\)-term in this polynomial, so its coefficient is (0). The coefficient of a missing term is always taken as (0).

Step 2

Why this answer is correct

The correct answer is D. (0). There is no \(x^2\)-term in this polynomial, so its coefficient is (0). The coefficient of a missing term is always taken as (0).

Step 3

Exam Tip

इस बहुपद में \(x^2\) पद नहीं है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक हमेशा (0) माना जाता है।

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(p(x)=7x-2) में नियत पद क्या है?

What is the constant term in (p(x)=7x-2)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

There is no separate constant term, so the constant term is (0). Do not treat a term containing (x) as constant.

Step 2

Why this answer is correct

The correct answer is C. (0). There is no separate constant term, so the constant term is (0). Do not treat a term containing (x) as constant.

Step 3

Exam Tip

कोई अलग नियत पद नहीं है, इसलिए नियत पद (0) है। केवल (x) वाले पद को नियत पद न मानें।

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\(4x^3+x+2\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(4x^3+x+2\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Step 1

Concept

There is no \(x^2\)-term, so its coefficient is (0). The coefficient of a missing term is taken as zero.

Step 2

Why this answer is correct

The correct answer is D. (0). There is no \(x^2\)-term, so its coefficient is (0). The coefficient of a missing term is taken as zero.

Step 3

Exam Tip

इस बहुपद में \(x^2\) पद नहीं है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक शून्य माना जाता है।

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यदि \(x^2+10x+k\) एक पूर्ण वर्ग हो और उसका रूप ((x+5)2) हो, तो (k) क्या होगा?

If \(x^2+10x+k\) is a perfect square and its form is ((x+5)2), what is (k)?

Explanation opens after your attempt
Correct Answer

A. (25)

Step 1

Concept

((x+5)2=x-2+10x+25), so (k=25). In exams, remember perfect square expansion.

Step 2

Why this answer is correct

The correct answer is A. (25). ((x+5)2=x-2+10x+25), so (k=25). In exams, remember perfect square expansion.

Step 3

Exam Tip

((x+5)2=x-2+10x+25), इसलिए (k=25) है। परीक्षा में पूर्ण वर्ग विस्तार याद रखें।

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यदि \(x^2-6x+k\) एक पूर्ण वर्ग हो और उसका रूप ((x-3)2) हो, तो (k) क्या होगा?

If \(x^2-6x+k\) is a perfect square and its form is ((x-3)2), what is (k)?

Explanation opens after your attempt
Correct Answer

A. (9)

Step 1

Concept

((x-3)2=x-2-6x+9), so (k=9). In exams, remember perfect square expansion.

Step 2

Why this answer is correct

The correct answer is A. (9). ((x-3)2=x-2-6x+9), so (k=9). In exams, remember perfect square expansion.

Step 3

Exam Tip

((x-3)2=x-2-6x+9), इसलिए (k=9) है। परीक्षा में पूर्ण वर्ग विस्तार याद रखें।

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किस विकल्प में स्थिर पद अनुपस्थित है लेकिन समीकरण द्विघात है?

In which option is the constant term absent but the equation is quadratic?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+7x=0\)

Step 1

Concept

In \(2x^2+7x=0\), the \(x^2\) term is present and the constant term is absent. An equation can be quadratic even without a constant term.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+7x=0\). In \(2x^2+7x=0\), the \(x^2\) term is present and the constant term is absent. An equation can be quadratic even without a constant term.

Step 3

Exam Tip

\(2x^2+7x=0\) में \(x^2\) पद है और स्थिर पद अनुपस्थित है। स्थिर पद न होने पर भी समीकरण द्विघात हो सकता है।

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किस विकल्प में (x) पद अनुपस्थित है लेकिन समीकरण द्विघात है?

In which option is the (x) term absent but the equation is quadratic?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-27=0\)

Step 1

Concept

In \(3x^2-27=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without the (x) term.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2-27=0\). In \(3x^2-27=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without the (x) term.

Step 3

Exam Tip

\(3x^2-27=0\) में \(x^2\) पद है और (x) पद अनुपस्थित है। (x) पद न होने पर भी समीकरण द्विघात हो सकता है।

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किस समीकरण में (b=0) और (c>0) है?

Which equation has (b=0) and (c>0)?

Explanation opens after your attempt
Correct Answer

B. \(5x^2+20=0\)

Step 1

Concept

In \(5x^2+20=0\), the (x) term is absent, so (b=0) and (c=20>0). Treat a missing term coefficient as (0).

Step 2

Why this answer is correct

The correct answer is B. \(5x^2+20=0\). In \(5x^2+20=0\), the (x) term is absent, so (b=0) and (c=20>0). Treat a missing term coefficient as (0).

Step 3

Exam Tip

\(5x^2+20=0\) में (x) पद अनुपस्थित है, इसलिए (b=0) और (c=20>0) है। अनुपस्थित पद का गुणांक (0) मानें।

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किस विकल्प में द्विघात समीकरण का (x) वाला पद अनुपस्थित है लेकिन समीकरण द्विघात है?

In which option is the (x) term absent but the equation is still quadratic?

Explanation opens after your attempt
Correct Answer

A. \(x^2-49=0\)

Step 1

Concept

In \(x^2-49=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without an (x) term.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-49=0\). In \(x^2-49=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without an (x) term.

Step 3

Exam Tip

\(x^2-49=0\) में \(x^2\) पद है और (x) पद अनुपस्थित है। (x) पद न होने पर भी समीकरण द्विघात हो सकता है।

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किस समीकरण में (b=0) और (c<0) है?

Which equation has (b=0) and (c<0)?

Explanation opens after your attempt
Correct Answer

B. \(3x^2-12=0\)

Step 1

Concept

In \(3x^2-12=0\), (b=0) and (c=-12). Treat the missing (x) term coefficient as (0).

Step 2

Why this answer is correct

The correct answer is B. \(3x^2-12=0\). In \(3x^2-12=0\), (b=0) and (c=-12). Treat the missing (x) term coefficient as (0).

Step 3

Exam Tip

\(3x^2-12=0\) में (b=0) और (c=-12) है। अनुपस्थित (x) पद का गुणांक (0) मानें।

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समीकरण \(2x^2+5=0\) में कौन-सा पद अनुपस्थित है?

Which term is absent in \(2x^2+5=0\)?

Explanation opens after your attempt
Correct Answer

C. रैखिक पदLinear term

Step 1

Concept

There is no (x) term, so the linear term is absent. The coefficient of a missing term is considered (0).

Step 2

Why this answer is correct

The correct answer is C. रैखिक पद / Linear term. There is no (x) term, so the linear term is absent. The coefficient of a missing term is considered (0).

Step 3

Exam Tip

इसमें (x) वाला पद नहीं है इसलिए रैखिक पद अनुपस्थित है। अनुपस्थित पद का गुणांक (0) माना जाता है।

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समीकरण \(x^2+7x=0\) में (c) का मान क्या है?

What is the value of (c) in \(x^2+7x=0\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Step 1

Concept

Comparing with standard form, the constant term is absent, so (c=0). Treat a missing constant term as (0).

Step 2

Why this answer is correct

The correct answer is D. (0). Comparing with standard form, the constant term is absent, so (c=0). Treat a missing constant term as (0).

Step 3

Exam Tip

मानक रूप से मिलाने पर स्थिर पद अनुपस्थित है इसलिए (c=0) है। अनुपस्थित स्थिर पद को (0) मानें।

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समीकरण \(x^2-7=0\) में रैखिक पद कौन-सा है?

What is the linear term in \(x^2-7=0\)?

Explanation opens after your attempt
Correct Answer

C. (0x)

Step 1

Concept

There is no (x) term, so the linear term is considered (0x). A missing term has coefficient (0).

Step 2

Why this answer is correct

The correct answer is C. (0x). There is no (x) term, so the linear term is considered (0x). A missing term has coefficient (0).

Step 3

Exam Tip

इसमें (x) वाला पद नहीं है इसलिए रैखिक पद (0x) माना जाता है। अनुपस्थित पद का गुणांक (0) होता है।

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समीकरण \(x^2-13x=0\) में कौन सा पद अनुपस्थित है?

Which term is absent in \(x^2-13x=0\)?

Explanation opens after your attempt
Correct Answer

C. स्थिर पदConstant term

Step 1

Concept

It can be written as \(x^2-13x+0=0\). So the constant term is absent.

Step 2

Why this answer is correct

The correct answer is C. स्थिर पद / Constant term. It can be written as \(x^2-13x+0=0\). So the constant term is absent.

Step 3

Exam Tip

इसे \(x^2-13x+0=0\) लिखा जा सकता है। इसलिए स्थिर पद अनुपस्थित है।

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समीकरण \(3x^2-21=0\) में (a), (b), (c) कौन से हैं?

What are (a), (b), (c) in \(3x^2-21=0\)?

Explanation opens after your attempt
Correct Answer

A. (3,0,-21)

Step 1

Concept

Write it as \(3x^2+0x-21=0\). So (a=3), (b=0), (c=-21).

Step 2

Why this answer is correct

The correct answer is A. (3,0,-21). Write it as \(3x^2+0x-21=0\). So (a=3), (b=0), (c=-21).

Step 3

Exam Tip

इसे \(3x^2+0x-21=0\) लिखें। इसलिए (a=3), (b=0), (c=-21) हैं।

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समीकरण \(13x^2-20=0\) में (b) का मान क्या है?

What is the value of (b) in \(13x^2-20=0\)?

Explanation opens after your attempt
Correct Answer

B. (0)

Step 1

Concept

We write it as \(13x^2+0x-20=0\). So (b=0).

Step 2

Why this answer is correct

The correct answer is B. (0). We write it as \(13x^2+0x-20=0\). So (b=0).

Step 3

Exam Tip

इसे \(13x^2+0x-20=0\) लिखते हैं। इसलिए (b=0) है।

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समीकरण \(11x^2-6x=0\) में (c) का मान क्या होगा?

What will be the value of (c) in \(11x^2-6x=0\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

It can be written as \(11x^2-6x+0=0\). So (c=0).

Step 2

Why this answer is correct

The correct answer is C. (0). It can be written as \(11x^2-6x+0=0\). So (c=0).

Step 3

Exam Tip

इसे \(11x^2-6x+0=0\) लिखा जा सकता है। इसलिए (c=0) है।

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समीकरण \(x^2+10x=0\) में कौन सा पद अनुपस्थित है?

Which term is absent in \(x^2+10x=0\)?

Explanation opens after your attempt
Correct Answer

C. स्थिर पदConstant term

Step 1

Concept

It is treated as \(x^2+10x+0=0\). So the constant term is absent.

Step 2

Why this answer is correct

The correct answer is C. स्थिर पद / Constant term. It is treated as \(x^2+10x+0=0\). So the constant term is absent.

Step 3

Exam Tip

इसे \(x^2+10x+0=0\) माना जाता है। इसलिए स्थिर पद अनुपस्थित है।

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समीकरण \(7x^2-14=0\) में (a), (b), (c) कौन से हैं?

What are (a), (b), (c) in \(7x^2-14=0\)?

Explanation opens after your attempt
Correct Answer

A. (7,0,-14)

Step 1

Concept

Write it as \(7x^2+0x-14=0\). Then (a=7), (b=0), (c=-14).

Step 2

Why this answer is correct

The correct answer is A. (7,0,-14). Write it as \(7x^2+0x-14=0\). Then (a=7), (b=0), (c=-14).

Step 3

Exam Tip

इसे \(7x^2+0x-14=0\) लिखें। इससे (a=7), (b=0), (c=-14) मिलते हैं।

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समीकरण \(9x^2+11=0\) में \(x\) का मान क्या है?

What is the value of \(x\) in \(9x^2+11=0\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

It is written as \(9x^2+0x+11=0\). So \(x=0\).

Step 2

Why this answer is correct

The correct answer is C. (0). It is written as \(9x^2+0x+11=0\). So \(x=0\).

Step 3

Exam Tip

इसे \(9x^2+0x+11=0\) लिखा जाता है। इसलिए \(x=0\) है।

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निम्न समीकरण \(x^2-6x=0\) में (c) का मान क्या है?

What is the value of (c) in \(x^2-6x=0\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

It can be written as \(x^2-6x+0=0\). Hence (c=0).

Step 2

Why this answer is correct

The correct answer is C. (0). It can be written as \(x^2-6x+0=0\). Hence (c=0).

Step 3

Exam Tip

इसे \(x^2-6x+0=0\) लिखा जा सकता है। अतः (c=0) है।

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यदि (p(x)=x-2-13x+k) का एक शून्यक (6) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होंगे?

If (p(x)=x-2-13x+k) has one zero (6), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt
Correct Answer

A. दूसरा (7), कटान ((6,0)), ((7,0))Other (7), intersections ((6,0)), ((7,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (13), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (7), कटान ((6,0)), ((7,0)) / Other (7), intersections ((6,0)), ((7,0)). In the quadratic, the sum of zeroes is (13), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (13) है, इसलिए दूसरा शून्यक (7) है। टिप: शून्यक को ((x,0)) में बदलें।

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यदि परवलय का सममिति अक्ष (x=5) है और एक शून्यक (-1) है, तो दूसरा शून्यक क्या होगा?

If the axis of symmetry of a parabola is (x=5) and one zero is (-1), what will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (11)

Step 1

Concept

The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (11). The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (5) है इसलिए दूसरा शून्यक (11) होगा। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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यदि (p(x)=x-2-11x+k) का एक शून्यक (4) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होंगे?

If (p(x)=x-2-11x+k) has one zero (4), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt
Correct Answer

A. दूसरा (7), कटान ((4,0)), ((7,0))Other (7), intersections ((4,0)), ((7,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (11), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (7), कटान ((4,0)), ((7,0)) / Other (7), intersections ((4,0)), ((7,0)). In the quadratic, the sum of zeroes is (11), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (11) है, इसलिए दूसरा शून्यक (7) है। टिप: शून्यक को ((x,0)) में बदलें।

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यदि परवलय का सममिति अक्ष (x=-2) है और एक शून्यक (5) है, तो दूसरा शून्यक क्या होगा?

If the axis of symmetry of a parabola is (x=-2) and one zero is (5), what will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-9)

Step 1

Concept

The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (-9). The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (-2) है, इसलिए दूसरा शून्यक (-9) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य से जोड़ें।

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यदि (p(x)=x-2-9x+k) का एक शून्यक (4) है तो दूसरा शून्यक और कटान बिंदु क्या होंगे?

If (p(x)=x-2-9x+k) has one zero (4), what will be the other zero and intersection points?

Explanation opens after your attempt
Correct Answer

A. दूसरा (5), कटान ((4,0)), ((5,0))Other (5), intersections ((4,0)), ((5,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (9), so the other zero is (5). Tip: quickly convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (5), कटान ((4,0)), ((5,0)) / Other (5), intersections ((4,0)), ((5,0)). In the quadratic, the sum of zeroes is (9), so the other zero is (5). Tip: quickly convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (9) है इसलिए दूसरा शून्यक (5) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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किसी परवलय का एक शून्यक (11) है और सममिति अक्ष (x=3) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (11) and axis of symmetry (x=3). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-5). The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (3) है इसलिए दूसरा शून्यक (-5) होगा। टिप: \(\frac{a+b}{2}\) को सममिति अक्ष के बराबर रखें।

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किसी परवलय का सममिति अक्ष (x=4) है और एक शून्यक (-2) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=4) and one zero is (-2). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (10)

Step 1

Concept

The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (10). The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 3

Exam Tip

दोनों शून्यकों का औसत (4) है इसलिए दूसरा शून्यक (10) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य मान से जोड़ें।

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यदि (p(x)=x-2-7x+k) का एक शून्यक (3) है, तो दूसरा शून्यक और कटान बिंदु क्या होंगे?

If (p(x)=x-2-7x+k) has one zero (3), what will be the other zero and intersection points?

Explanation opens after your attempt
Correct Answer

A. दूसरा (4), कटान ((3,0)), ((4,0))Other (4), intersections ((3,0)), ((4,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (7), so the other zero is (4). Tip: quickly convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (4), कटान ((3,0)), ((4,0)) / Other (4), intersections ((3,0)), ((4,0)). In the quadratic, the sum of zeroes is (7), so the other zero is (4). Tip: quickly convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (7) है, इसलिए दूसरा शून्यक (4) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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किसी परवलय का एक शून्यक (9) है और सममिति अक्ष (x=2) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (9) and axis of symmetry (x=2). What is the other zero?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-5). The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (2) है, इसलिए दूसरा शून्यक (-5) होगा। टिप: \( \frac{a+b}{2} \) को सममिति अक्ष के बराबर रखें।

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किसी परवलय का सममिति अक्ष (x=1) है और एक शून्यक (-5) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=1) and one zero is (-5). What will be the other zero?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is C. (7). The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (1) होगा इसलिए दूसरा शून्यक (7) है। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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यदि (p(x)=x-2-5x+k) का एक शून्यक (2) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होगा?

If (p(x)=x-2-5x+k) has one zero (2), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt
Correct Answer

A. दूसरा (3), कटान ((2,0)), ((3,0))Other (3), intersections ((2,0)), ((3,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (5), so the other zero is (3). Tip: immediately convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (3), कटान ((2,0)), ((3,0)) / Other (3), intersections ((2,0)), ((3,0)). In the quadratic, the sum of zeroes is (5), so the other zero is (3). Tip: immediately convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (5) है, इसलिए दूसरा शून्यक (3) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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किसी परवलय का एक शून्यक (4) है और सममिति अक्ष (x=-1) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (4) and axis of symmetry (x=-1). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-6)

Step 1

Concept

The average of the two zeroes is (-1), so the other zero is (-6). Tip: set the average equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-6). The average of the two zeroes is (-1), so the other zero is (-6). Tip: set the average equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (-1) है, इसलिए दूसरा शून्यक (-6) होगा। टिप: औसत को सममिति अक्ष के बराबर रखें।

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दो संख्याओं का महत्तम समापवर्तक \(2^2\times 3^2\) है और उनका लघुत्तम समापवर्त्य \(2^5\times 3^2\times 5\times 7\) है। यदि एक संख्या \(2^5\times 3^2\times 5\) है, तो दूसरी संख्या क्या होगी?

The HCF of two numbers is \(2^2\times 3^2\) and their LCM is \(2^5\times 3^2\times 5\times 7\). If one number is \(2^5\times 3^2\times 5\), what is the other number?

Explanation opens after your attempt
Correct Answer

A. \(2^2\times 3^2\times 7\)

Step 1

Concept

\(The other number (=\frac{\)HCF\(\times\) LCM}{first number}).

Step 2

Why this answer is correct

Using exponents, (\frac{\(2^2\times 3^2\)\(2^5\times 3^2\times 5\times 7\)}{25\times 32\times 5}=22\times 32\times 7).

Step 3

Exam Tip

\(In such problems, simplify by subtracting exponents. चरण 1: दूसरी संख्या (=\frac{\)महत्तम समापवर्तक\(\times\) लघुत्तम समापवर्त्य}{पहली संख्या})। चरण 2: घातांक लगाकर (\frac{\(2^2\times 3^2\)\(2^5\times 3^2\times 5\times 7\)}{25\times 32\times 5}=22\times 32\times 7)। चरण 3: ऐसे प्रश्नों में घातांक घटाकर सरल करें।

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(315) में कौन सा अभाज्य गुणनखंड शामिल नहीं है?

Which prime factor is not included in (315)?

Explanation opens after your attempt
Correct Answer

D. 2

Step 1

Concept

Write \(315=9 \times 35\).

Step 2

Why this answer is correct

\(9=3^2\) and \(35=5 \times 7\), so \(315=3^2 \times 5 \times 7\). It does not include (2).

Step 3

Exam Tip

A prime not appearing in the factorisation is not a prime factor of the number. चरण 1: \(315=9 \times 35\) लिखें। चरण 2: \(9=3^2\) और \(35=5 \times 7\), इसलिए \(315=3^2 \times 5 \times 7\)। इसमें (2) शामिल नहीं है। चरण 3: जो अभाज्य गुणनखंडन में नहीं आता, वह उस संख्या का अभाज्य गुणनखंड नहीं है।

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(1260) के अभाज्य गुणनखंडन में कौन सा अभाज्य गुणनखंड शामिल नहीं है?

Which prime factor is not included in the prime factorisation of (1260)?

Explanation opens after your attempt
Correct Answer

A. (11)

Step 1

Concept

Write \(1260=126 \times 10\).

Step 2

Why this answer is correct

\(126=2 \times 3^2 \times 7\) and \(10=2 \times 5\), so \(1260=2^2 \times 3^2 \times 5 \times 7\). It does not include (11).

Step 3

Exam Tip

Match the options with the prime factorisation. चरण 1: \(1260=126 \times 10\) लिखें। चरण 2: \(126=2 \times 3^2 \times 7\) और \(10=2 \times 5\), इसलिए \(1260=2^2 \times 3^2 \times 5 \times 7\)। इसमें (11) नहीं है। चरण 3: विकल्पों को अभाज्य गुणनखंडन से मिलाएं।

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दो संख्याओं का महत्तम समापवर्तक 216 है और लघुत्तम समापवर्त्य 30240 है। यदि एक संख्या 1512 है, तो दूसरी संख्या क्या होगी?

The HCF of two numbers is 216 and their LCM is 30240. If one number is 1512, what is the other number?

Explanation opens after your attempt
Correct Answer

A. 4320

Step 1

Concept

Product of the two numbers is \(216\times30240=6531840\).

Step 2

Why this answer is correct

The other number is \(6531840\div1512=4320\).

Step 3

Exam Tip

To check, the HCF of 1512 and 4320 is 216. चरण 1: दोनों संख्याओं का गुणनफल \(216\times30240=6531840\) होगा। चरण 2: दूसरी संख्या \(6531840\div1512=4320\) है। चरण 3: उत्तर की जांच के लिए 1512 और 4320 का महत्तम समापवर्तक 216 है।

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दो संख्याओं का महत्तम समापवर्तक 180 है और लघुत्तम समापवर्त्य 27720 है। यदि एक संख्या 1260 है, तो दूसरी संख्या क्या होगी?

The HCF of two numbers is 180 and their LCM is 27720. If one number is 1260, what is the other number?

Explanation opens after your attempt
Correct Answer

A. 3960

Step 1

Concept

Product of the two numbers is \(180\times27720=4989600\).

Step 2

Why this answer is correct

One number is 1260, so the other number is \(4989600\div1260=3960\).

Step 3

Exam Tip

As a check, the HCF of 1260 and 3960 is 180. चरण 1: दोनों संख्याओं का गुणनफल \(180\times27720=4989600\) होगा। चरण 2: एक संख्या 1260 है, इसलिए दूसरी संख्या \(4989600\div1260=3960\) है। चरण 3: जांच के लिए 1260 और 3960 का महत्तम समापवर्तक 180 है।

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