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एक सड़क पर पहले दो खंभों के बीच दूरी (8) मीटर है और हर अगली दूरी (3) मीटर बढ़ती है। (7)वें अंतर की दूरी कितनी होगी?

On a road the distance between the first two poles is (8) metres and each next distance increases by (3) metres. What is the distance of the (7)th gap?

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Correct Answer

D. (26) मीटर(26) metres

Step 1

Concept

The distances are \(8,11,14,\ldots\). (a_7=8+6(3)=26) metres.

Step 2

Why this answer is correct

The correct answer is D. (26) मीटर / (26) metres. The distances are \(8,11,14,\ldots\). (a_7=8+6(3)=26) metres.

Step 3

Exam Tip

दूरियां \(8,11,14,\ldots\) हैं। (a_7=8+6(3)=26) मीटर।

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एक सड़क पर पहले दो खंभों के बीच दूरी (6) मीटर है और हर अगली दूरी (2) मीटर बढ़ती है। (9)वें अंतर की दूरी कितनी होगी?

On a road the distance between the first two poles is (6) metres and each next distance increases by (2) metres. What is the distance of the (9)th gap?

Explanation opens after your attempt
Correct Answer

B. (22) मीटर

Step 1

Concept

The distances are \(6,8,10,\ldots\). (a_9=6+8(2)=22) metres.

Step 2

Why this answer is correct

The correct answer is B. (22) मीटर. The distances are \(6,8,10,\ldots\). (a_9=6+8(2)=22) metres.

Step 3

Exam Tip

दूरियां \(6,8,10,\ldots\) हैं। (a_9=6+8(2)=22) मीटर।

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एक सड़क पर पहले खंभे से दूसरे खंभे की दूरी (5) मीटर है और हर अगली दूरी (5) मीटर बढ़ती है। पहले (8) अंतरों की कुल दूरी कितनी होगी?

On a road, the distance from the first pole to the second pole is (5) metres and each next distance increases by (5) metres. What is the total distance of the first (8) gaps?

Explanation opens after your attempt
Correct Answer

C. (180) मीटर

Step 1

Concept

The distances are \(5,10,15,\ldots\). \(S_8=180\) metres.

Step 2

Why this answer is correct

The correct answer is C. (180) मीटर. The distances are \(5,10,15,\ldots\). \(S_8=180\) metres.

Step 3

Exam Tip

दूरियां \(5,10,15,\ldots\) हैं। \(S_8=180\) मीटर है।

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यदि संख्या रेखा पर (A=1.2), (B=-3.8), और (C=4.2), तो (A) और (B) की दूरी (A) और (C) की दूरी से कितनी अधिक है?

If (A=1.2), (B=-3.8), and (C=4.2) on the number line, how much greater is the distance (AB) than the distance (AC)?

Explanation opens after your attempt
Correct Answer

A. (2)

Step 1

Concept

(AB=|1.2-(-3.8)|=5) and (AC=|1.2-4.2|=3), so the difference is (2). Use absolute value for distance.

Step 2

Why this answer is correct

The correct answer is A. (2). (AB=|1.2-(-3.8)|=5) and (AC=|1.2-4.2|=3), so the difference is (2). Use absolute value for distance.

Step 3

Exam Tip

(AB=|1.2-(-3.8)|=5) और (AC=|1.2-4.2|=3), इसलिए अंतर (2) है। दूरी में निरपेक्ष मान लगाएँ।

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रेखा सीखने का मुख्य लाभ क्या है?

What is the main benefit of learning line?

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A. चित्र में रूप दिशा बनावट और भाव बनानाCreating form direction texture and mood in picture

Step 1

Concept

Line helps create many visual effects. Exam tip: understand line as a versatile element.

Step 2

Why this answer is correct

The correct answer is A. चित्र में रूप दिशा बनावट और भाव बनाना / Creating form direction texture and mood in picture. Line helps create many visual effects. Exam tip: understand line as a versatile element.

Step 3

Exam Tip

रेखा कई दृश्य प्रभाव बनाने में मदद करती है। परीक्षा में line को बहुउपयोगी तत्व समझें।

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कला तत्व सीखने से छात्र की कौन सी क्षमता सबसे अधिक बढ़ती है?

Which ability of a student increases most by learning art elements?

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Correct Answer

A. चित्र बनाना समझना और सुधारनाMaking understanding and improving pictures

Step 1

Concept

Art elements are practical tools for composition and analysis. Exam tip: treat elements as practical tools.

Step 2

Why this answer is correct

The correct answer is A. चित्र बनाना समझना और सुधारना / Making understanding and improving pictures. Art elements are practical tools for composition and analysis. Exam tip: treat elements as practical tools.

Step 3

Exam Tip

कला तत्व रचना और विश्लेषण के व्यावहारिक उपकरण हैं। परीक्षा में elements को practical tools मानें।

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कला के तत्वों को सीखने का सबसे व्यावहारिक लाभ क्या है?

What is the most practical benefit of learning elements of art?

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Correct Answer

A. चित्र बनाना समझना और सुधारना आसान होता हैIt becomes easier to make understand and improve pictures

Step 1

Concept

Elements of art give basic understanding for composition and analysis. Exam tip: treat elements as practical tools.

Step 2

Why this answer is correct

The correct answer is A. चित्र बनाना समझना और सुधारना आसान होता है / It becomes easier to make understand and improve pictures. Elements of art give basic understanding for composition and analysis. Exam tip: treat elements as practical tools.

Step 3

Exam Tip

कला तत्व रचना और विश्लेषण की आधार समझ देते हैं। परीक्षा में elements को practical tools मानें।

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कला के तत्वों को सीखने का मुख्य लाभ क्या है?

What is the main benefit of learning the elements of art?

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Correct Answer

A. चित्र बनाना और समझना आसान होता हैIt becomes easier to make and understand pictures

Step 1

Concept

Elements of art give basic understanding for making and analysing pictures. Exam tip: understand elements as visual language.

Step 2

Why this answer is correct

The correct answer is A. चित्र बनाना और समझना आसान होता है / It becomes easier to make and understand pictures. Elements of art give basic understanding for making and analysing pictures. Exam tip: understand elements as visual language.

Step 3

Exam Tip

कला तत्व चित्र बनाने और विश्लेषण करने की आधार समझ देते हैं। परीक्षा में elements को visual language समझें।

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फेज की मदिना को किस इस्लामी शहरी और विद्या परंपरा से जोड़ा जाता है?

Medina of Fez is linked with which Islamic urban and learning tradition?

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A. मध्यकालीन मघरेबी नगर और अल करावियिन विद्या केंद्रMedieval Maghrebi city and Al Qarawiyyin learning center

Step 1

Concept

Fez is a major center of Morocco's Islamic urban culture and learning tradition. For exams remember medina and education.

Step 2

Why this answer is correct

The correct answer is A. मध्यकालीन मघरेबी नगर और अल करावियिन विद्या केंद्र / Medieval Maghrebi city and Al Qarawiyyin learning center. Fez is a major center of Morocco's Islamic urban culture and learning tradition. For exams remember medina and education.

Step 3

Exam Tip

फेज मोरक्को की इस्लामी शहरी संस्कृति और विद्या परंपरा का प्रमुख केंद्र है। परीक्षा में मदिना और शिक्षा याद रखें।

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जबीद का ऐतिहासिक नगर किस इस्लामी विद्या और शहरी परंपरा से जुड़ा है?

The historic town of Zabid is linked with which Islamic learning and urban tradition?

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Correct Answer

A. यमनी इस्लामी शिक्षा और मस्जिद नगरYemeni Islamic learning and mosque town

Step 1

Concept

Zabid in Yemen was a major center of Islamic learning and urban life. For exams remember center of learning.

Step 2

Why this answer is correct

The correct answer is A. यमनी इस्लामी शिक्षा और मस्जिद नगर / Yemeni Islamic learning and mosque town. Zabid in Yemen was a major center of Islamic learning and urban life. For exams remember center of learning.

Step 3

Exam Tip

जबीद यमन में इस्लामी शिक्षा और शहरी जीवन का प्रमुख केंद्र था। परीक्षा में विद्या केंद्र याद रखें।

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नालंदा महाविहार में पढ़ाई का मुख्य धार्मिक बौद्धिक संबंध किस परंपरा से था?

Nalanda Mahavihara's learning was mainly connected with which religious intellectual tradition?

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Correct Answer

D. बौद्ध अध्ययन परंपराBuddhist learning tradition

Step 1

Concept

Nalanda Mahavihara was a great centre of Buddhist learning. Link it with higher education in ancient India.

Step 2

Why this answer is correct

The correct answer is D. बौद्ध अध्ययन परंपरा / Buddhist learning tradition. Nalanda Mahavihara was a great centre of Buddhist learning. Link it with higher education in ancient India.

Step 3

Exam Tip

नालंदा महाविहार बौद्ध अध्ययन का महान केंद्र था। इसे प्राचीन भारत की उच्च शिक्षा से जोड़ें।

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अध्याय के इस उपविषय से परीक्षा में सबसे महत्वपूर्ण सीख क्या मिलती है?

What is the most important exam learning from this subtopic of the chapter?

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A. राष्ट्रीयता केवल राजनीति नहीं, बल्कि भावना, संस्कृति, स्मृति और प्रतीकों से भी बनती हैNationalism is not only politics; it is also built through emotion, culture, memory and symbols

Step 1

Concept

The centre of this subtopic is collective belonging.

Step 2

Why this answer is correct

Bharat Mata, Vande Mataram, the flag, folk tales and history strengthened this feeling.

Step 3

Exam Tip

In exams, write both political and cultural sides together. चरण 1: इस उपविषय का केंद्र सामूहिक अपनत्व है। चरण 2: भारत माता, वंदे मातरम्, झंडा, लोककथा और इतिहास ने इस भावना को मजबूत किया। चरण 3: परीक्षा में राजनीतिक और सांस्कृतिक दोनों पक्षों को साथ लिखें।

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रेखा द्वारा दूरी दिखाने में अस्पष्टता कब सहायक होती है?

When is softness useful for showing distance through line?

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Correct Answer

D. जब दूर की वस्तु को हल्का और कम स्पष्ट दिखाना होWhen distant object is to be shown lighter and less clear

Step 1

Concept

Light line in distant objects suggests depth. Exam tip: reduce line clarity with distance.

Step 2

Why this answer is correct

The correct answer is D. जब दूर की वस्तु को हल्का और कम स्पष्ट दिखाना हो / When distant object is to be shown lighter and less clear. Light line in distant objects suggests depth. Exam tip: reduce line clarity with distance.

Step 3

Exam Tip

दूर की वस्तुओं में हल्की रेखा गहराई का संकेत देती है। परीक्षा में दूरी के साथ रेखा स्पष्टता घटाएं।

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कौन सी रेखाएं कभी नहीं मिलतीं यदि वे समान दूरी पर चलती रहें?

Which lines never meet if they keep equal distance?

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Correct Answer

A. समानांतर रेखाएंParallel lines

Step 1

Concept

Parallel lines maintain equal distance. Exam tip: identify parallel lines.

Step 2

Why this answer is correct

The correct answer is A. समानांतर रेखाएं / Parallel lines. Parallel lines maintain equal distance. Exam tip: identify parallel lines.

Step 3

Exam Tip

समानांतर रेखाएं बराबर दूरी बनाए रखती हैं। परीक्षा में parallel lines की पहचान करें।

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दूरी की ओर जाती सड़क दिखाने में कौन सी रेखाएं काम आती हैं?

Which lines help show a road going into distance?

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Correct Answer

A. परिप्रेक्ष्य रेखाएंPerspective lines

Step 1

Concept

Perspective lines create illusion of distance. Exam tip: look for converging lines in road depth.

Step 2

Why this answer is correct

The correct answer is A. परिप्रेक्ष्य रेखाएं / Perspective lines. Perspective lines create illusion of distance. Exam tip: look for converging lines in road depth.

Step 3

Exam Tip

परिप्रेक्ष्य रेखाएं दूरी का भ्रम बनाती हैं। परीक्षा में road depth में converging lines देखें।

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यदि पास और दूर की वस्तु में समान बनावट विवरण है तो दूरी का भ्रम क्यों कमजोर होगा?

Why will illusion of distance weaken if near and far objects have equal texture detail?

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Correct Answer

A. दूर वस्तु में सामान्यतः कम विवरण दिखता हैFar objects generally show less detail

Step 1

Concept

Reduction of detail is a depth cue. Exam tip: treat texture detail as spatial clue.

Step 2

Why this answer is correct

The correct answer is A. दूर वस्तु में सामान्यतः कम विवरण दिखता है / Far objects generally show less detail. Reduction of detail is a depth cue. Exam tip: treat texture detail as spatial clue.

Step 3

Exam Tip

विवरण का घटाव depth cue है। परीक्षा में texture detail को spatial clue मानें।

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किससे चित्र में दूरी का भ्रम सरलता से बनता है?

What easily creates the illusion of distance in a picture?

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Correct Answer

B. पास की वस्तु बड़ी और दूर की छोटी बनानाDrawing near objects large and far objects small

Step 1

Concept

Size change shows the difference between near and far. Exam tip: understand size variation as a depth cue.

Step 2

Why this answer is correct

The correct answer is B. पास की वस्तु बड़ी और दूर की छोटी बनाना / Drawing near objects large and far objects small. Size change shows the difference between near and far. Exam tip: understand size variation as a depth cue.

Step 3

Exam Tip

आकार परिवर्तन से पास और दूर का अंतर दिखता है। परीक्षा में आकार परिवर्तन को गहराई संकेत समझें।

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किस तत्व से चित्र में वस्तुओं के बीच दूरी का एहसास होता है?

Which element gives a sense of distance between objects in a picture?

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Correct Answer

A. स्थानSpace

Step 1

Concept

Space shows the area between and around objects. Exam tip: connect distance and empty area with space.

Step 2

Why this answer is correct

The correct answer is A. स्थान / Space. Space shows the area between and around objects. Exam tip: connect distance and empty area with space.

Step 3

Exam Tip

स्थान वस्तुओं के बीच और आसपास के क्षेत्र को बताता है। परीक्षा में दूरी और खाली क्षेत्र को space से जोड़ें।

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एक स्कूल बस पहले दिन (60) किलोमीटर चली और (7) दिनों में कुल (588) किलोमीटर चली। यदि दूरी हर दिन समान रूप से बढ़ी तो दैनिक वृद्धि कितनी थी?

A school bus travelled (60) km on the first day and (588) km in (7) days. If the distance increased equally each day then what was the daily increase?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

Using \(S_7=588\) and (a=60) gives (d=8). Exam tip: daily increase can be found from total distance.

Step 2

Why this answer is correct

The correct answer is B. (8). Using \(S_7=588\) and (a=60) gives (d=8). Exam tip: daily increase can be found from total distance.

Step 3

Exam Tip

\(S_7=588\) और (a=60) रखने पर (d=8) मिलता है। परीक्षा में कुल दूरी से दैनिक वृद्धि निकाली जा सकती है।

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एक स्कूल बस पहले दिन (45) किलोमीटर चली और (6) दिनों में कुल (405) किलोमीटर चली। यदि दूरी हर दिन समान रूप से बढ़ी तो दैनिक वृद्धि कितनी थी?

A school bus travelled (45) km on the first day and (405) km in (6) days. If the distance increased equally each day then what was the daily increase?

Explanation opens after your attempt
Correct Answer

C. (9)

Step 1

Concept

Using \(S_6=405\) and (a=45) gives (d=9). Exam tip: daily increase can be found from total distance.

Step 2

Why this answer is correct

The correct answer is C. (9). Using \(S_6=405\) and (a=45) gives (d=9). Exam tip: daily increase can be found from total distance.

Step 3

Exam Tip

\(S_6=405\) और (a=45) रखने पर (d=9) मिलता है। परीक्षा में कुल दूरी से दैनिक वृद्धि निकाली जा सकती है।

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एक स्कूल बस पहले दिन (40) किलोमीटर चली और (5) दिनों में कुल (300) किलोमीटर चली। यदि दूरी हर दिन समान रूप से बढ़ी तो दैनिक वृद्धि कितनी थी?

A school bus travelled (40) km on the first day and (300) km in (5) days. If the distance increased equally each day then what was the daily increase?

Explanation opens after your attempt
Correct Answer

B. (10)

Step 1

Concept

Using \(S_5=300\) and (a=40) gives (d=10). Exam tip: daily increase can be found from total distance.

Step 2

Why this answer is correct

The correct answer is B. (10). Using \(S_5=300\) and (a=40) gives (d=10). Exam tip: daily increase can be found from total distance.

Step 3

Exam Tip

\(S_5=300\) और (a=40) रखने पर (d=10) मिलता है। परीक्षा में कुल दूरी से दैनिक वृद्धि निकाली जा सकती है।

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एक सड़क पर खंभों की दूरी के क्रम \(6,12,18,\ldots\) मीटर हैं। पहले (25) अंतरालों की कुल दूरी कितनी होगी?

On a road, the distances of intervals are \(6,12,18,\ldots\) meters. What is the total distance of the first (25) intervals?

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Correct Answer

C. (1950)

Step 1

Concept

This is the sum of the first (25) multiples of (6), so the total distance is (1950) meters. In sums of multiples, (a=d).

Step 2

Why this answer is correct

The correct answer is C. (1950). This is the sum of the first (25) multiples of (6), so the total distance is (1950) meters. In sums of multiples, (a=d).

Step 3

Exam Tip

यह (6) के पहले (25) गुणजों का योग है, इसलिए कुल दूरी (1950) मीटर है। गुणजों के योग में (a=d) होता है।

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किस संख्या की (0) से दूरी \( \sqrt{41} \) है और वह (0) के बाईं ओर है?

Which number has distance \( \sqrt{41} \) from (0) and lies to the left of (0) on the number line?

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Correct Answer

B. \( -\sqrt{41} \)

Step 1

Concept

The point on the left is negative and its distance is \( \sqrt{41} \). Therefore the number is \( -\sqrt{41} \).

Step 2

Why this answer is correct

The correct answer is B. \( -\sqrt{41} \). The point on the left is negative and its distance is \( \sqrt{41} \). Therefore the number is \( -\sqrt{41} \).

Step 3

Exam Tip

बाईं ओर का बिंदु ऋणात्मक होगा और दूरी \( \sqrt{41} \) है। इसलिए संख्या \( -\sqrt{41} \) है।

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यदि (x) संख्या रेखा पर (-5) और (-1) के बीच है तथा (x) की (-5) से दूरी \( \frac{13}{6} \) है, तो (x) क्या है?

If (x) lies between (-5) and (-1) and its distance from (-5) is \( \frac{13}{6} \), what is (x)?

Explanation opens after your attempt
Correct Answer

A. \( -\frac{17}{6} \)

Step 1

Concept

Moving \( \frac{13}{6} \) to the right of (-5) gives \( -5+\frac{13}{6}=-\frac{17}{6} \). Use the given interval to choose direction.

Step 2

Why this answer is correct

The correct answer is A. \( -\frac{17}{6} \). Moving \( \frac{13}{6} \) to the right of (-5) gives \( -5+\frac{13}{6}=-\frac{17}{6} \). Use the given interval to choose direction.

Step 3

Exam Tip

(-5) से दाईं ओर \( \frac{13}{6} \) जाने पर \( -5+\frac{13}{6}=-\frac{17}{6} \) मिलता है। दिए गए अंतराल से दिशा चुनें।

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किस संख्या की (0) से दूरी \( \sqrt{26} \) है और वह (0) के दाईं ओर है?

Which number has distance \( \sqrt{26} \) from (0) and lies to the right of (0) on the number line?

Explanation opens after your attempt
Correct Answer

B. \( \sqrt{26} \)

Step 1

Concept

The point on the right is positive and its distance is \( \sqrt{26} \). Therefore the number is \( \sqrt{26} \).

Step 2

Why this answer is correct

The correct answer is B. \( \sqrt{26} \). The point on the right is positive and its distance is \( \sqrt{26} \). Therefore the number is \( \sqrt{26} \).

Step 3

Exam Tip

दाईं ओर का बिंदु धनात्मक होगा और दूरी \( \sqrt{26} \) है। इसलिए संख्या \( \sqrt{26} \) है।

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यदि (x) संख्या रेखा पर (-3) और (0) के बीच है तथा (x) की (-3) से दूरी \( \frac{7}{5} \) है, तो (x) क्या है?

If (x) lies between (-3) and (0) and its distance from (-3) is \( \frac{7}{5} \), what is (x)?

Explanation opens after your attempt
Correct Answer

A. \( -\frac{8}{5} \)

Step 1

Concept

Moving \( \frac{7}{5} \) to the right of (-3) gives \( -3+\frac{7}{5}=-\frac{8}{5} \). Use the given interval to choose direction.

Step 2

Why this answer is correct

The correct answer is A. \( -\frac{8}{5} \). Moving \( \frac{7}{5} \) to the right of (-3) gives \( -3+\frac{7}{5}=-\frac{8}{5} \). Use the given interval to choose direction.

Step 3

Exam Tip

(-3) से दाईं ओर \( \frac{7}{5} \) जाने पर \( -3+\frac{7}{5}=-\frac{8}{5} \) मिलता है। दिए गए अंतराल से दिशा चुनें।

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किस बिंदु की \( \frac{3}{2} \) से दूरी \( \frac{11}{6} \) है और वह \( \frac{3}{2} \) के बाईं ओर है?

Which point is at distance \( \frac{11}{6} \) from \( \frac{3}{2} \) and lies to its left?

Explanation opens after your attempt
Correct Answer

B. \( -\frac{1}{3} \)

Step 1

Concept

Moving left gives \( \frac{3}{2}-\frac{11}{6}=-\frac{1}{3} \). Subtract the distance according to direction.

Step 2

Why this answer is correct

The correct answer is B. \( -\frac{1}{3} \). Moving left gives \( \frac{3}{2}-\frac{11}{6}=-\frac{1}{3} \). Subtract the distance according to direction.

Step 3

Exam Tip

बाईं ओर जाने पर \( \frac{3}{2}-\frac{11}{6}=-\frac{1}{3} \) मिलता है। दिशा के अनुसार दूरी घटाएँ।

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किस संख्या की (0) से दूरी संख्या रेखा पर \( \sqrt{17} \) है और वह (0) के बाईं ओर है?

Which number has distance \( \sqrt{17} \) from (0) and lies to the left of (0) on the number line?

Explanation opens after your attempt
Correct Answer

A. \( -\sqrt{17} \)

Step 1

Concept

The point on the left is negative and its distance is \( \sqrt{17} \). Therefore the number is \( -\sqrt{17} \).

Step 2

Why this answer is correct

The correct answer is A. \( -\sqrt{17} \). The point on the left is negative and its distance is \( \sqrt{17} \). Therefore the number is \( -\sqrt{17} \).

Step 3

Exam Tip

बाईं ओर का बिंदु ऋणात्मक होगा और दूरी \( \sqrt{17} \) है। इसलिए संख्या \( -\sqrt{17} \) है।

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यदि (x) संख्या रेखा पर ( -2 ) और (1) के बीच है तथा (x) की ( -2 ) से दूरी \( \frac{5}{4} \) है, तो (x) क्या है?

If (x) lies between (-2) and (1) and its distance from (-2) is \( \frac{5}{4} \), what is (x)?

Explanation opens after your attempt
Correct Answer

A. \( -\frac{3}{4} \)

Step 1

Concept

Moving \( \frac{5}{4} \) to the right of (-2) gives \( -2+\frac{5}{4}=-\frac{3}{4} \). Use the given interval to choose the direction.

Step 2

Why this answer is correct

The correct answer is A. \( -\frac{3}{4} \). Moving \( \frac{5}{4} \) to the right of (-2) gives \( -2+\frac{5}{4}=-\frac{3}{4} \). Use the given interval to choose the direction.

Step 3

Exam Tip

(-2) से दाईं ओर \( \frac{5}{4} \) जाने पर \( -2+\frac{5}{4}=-\frac{3}{4} \) मिलता है। दिए गए अंतराल से सही दिशा चुनें।

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किस बिंदु की ( -2 ) से दूरी \( \frac{7}{3} \) है और वह ( -2 ) के दाईं ओर है?

Which point is at a distance \( \frac{7}{3} \) from (-2) and lies to the right of (-2)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{1}{3}\)

Step 1

Concept

Moving right gives \( -2+\frac{7}{3}=\frac{1}{3}\). Add or subtract according to direction.

Step 2

Why this answer is correct

The correct answer is A. \( \frac{1}{3}\). Moving right gives \( -2+\frac{7}{3}=\frac{1}{3}\). Add or subtract according to direction.

Step 3

Exam Tip

दाईं ओर जाने पर \( -2+\frac{7}{3}=\frac{1}{3}\) मिलता है। दिशा के अनुसार जोड़ या घटाव करें।

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संख्या रेखा पर \(\frac{-7}{4}\) को (0) से किस दिशा और कितनी दूरी पर रखा जाएगा?

On the number line, in which direction and at what distance from (0) is \(\frac{-7}{4}\) placed?

Explanation opens after your attempt
Correct Answer

A. बाएँ \( \frac{7}{4} \) इकाईLeft \( \frac{7}{4} \) units

Step 1

Concept

A negative number lies to the left of (0), and its distance is its absolute value \(\frac{7}{4}\). Identify direction and distance separately.

Step 2

Why this answer is correct

The correct answer is A. बाएँ \( \frac{7}{4} \) इकाई / Left \( \frac{7}{4} \) units. A negative number lies to the left of (0), and its distance is its absolute value \(\frac{7}{4}\). Identify direction and distance separately.

Step 3

Exam Tip

ऋणात्मक संख्या (0) के बाएँ होती है और दूरी उसका निरपेक्ष मान \(\frac{7}{4}\) है। दिशा और दूरी को अलग-अलग पहचानें।

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यदि किसी बिंदु की (0) से दूरी \(\sqrt{13}\) है, तो वह संख्या रेखा पर कौन-से बिंदु हो सकते हैं?

If a point is at distance \(\sqrt{13}\) from (0), which points can it be on the number line?

Explanation opens after your attempt
Correct Answer

A. \(-\sqrt{13}\) और \(\sqrt{13}\)\(-\sqrt{13}\) and \(\sqrt{13}\)

Step 1

Concept

Points at the same distance from (0) occur on both sides, so the values are \(\pm\sqrt{13}\). In distance questions, check both directions.

Step 2

Why this answer is correct

The correct answer is A. \(-\sqrt{13}\) और \(\sqrt{13}\) / \(-\sqrt{13}\) and \(\sqrt{13}\). Points at the same distance from (0) occur on both sides, so the values are \(\pm\sqrt{13}\). In distance questions, check both directions.

Step 3

Exam Tip

(0) से समान दूरी पर दोनों ओर बिंदु होते हैं, इसलिए मान \(\pm\sqrt{13}\) होंगे। दूरी वाले प्रश्नों में दोनों दिशाएँ जाँचें।

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किस विकल्प में संख्या रेखा पर (0) से दूरी (3.5) है?

Which option has distance (3.5) from (0) on the number line?

Explanation opens after your attempt
Correct Answer

A. (-3.5) और (3.5)(-3.5) and (3.5)

Step 1

Concept

Distance from (0) is (|x|), so (|x|=3.5) gives \(x=\pm3.5\). Distance is always a positive measure.

Step 2

Why this answer is correct

The correct answer is A. (-3.5) और (3.5) / (-3.5) and (3.5). Distance from (0) is (|x|), so (|x|=3.5) gives \(x=\pm3.5\). Distance is always a positive measure.

Step 3

Exam Tip

(0) से दूरी (|x|) होती है, इसलिए (|x|=3.5) के हल \(x=\pm3.5\) हैं। दूरी हमेशा धनात्मक माप होती है।

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संख्या रेखा पर \(-\sqrt{0.81}\) की (0) से दूरी कितनी है?

What is the distance of \(-\sqrt{0.81}\) from (0) on the number line?

Explanation opens after your attempt
Correct Answer

B. (0.9)

Step 1

Concept

\(\sqrt{0.81}=0.9\), so the distance of \(-\sqrt{0.81}\) from (0) is (0.9). Distance equals magnitude.

Step 2

Why this answer is correct

The correct answer is B. (0.9). \(\sqrt{0.81}=0.9\), so the distance of \(-\sqrt{0.81}\) from (0) is (0.9). Distance equals magnitude.

Step 3

Exam Tip

\(\sqrt{0.81}=0.9\), इसलिए \(-\sqrt{0.81}\) की (0) से दूरी (0.9) है। दूरी परिमाण के बराबर होती है।

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संख्या रेखा पर \(\frac{2}{5}\) और \(\frac{7}{10}\) के बीच की दूरी कितनी है?

What is the distance between \(\frac{2}{5}\) and \(\frac{7}{10}\) on the number line?

Explanation opens after your attempt
Correct Answer

C. \(\frac{3}{10}\)

Step 1

Concept

\(\frac{2}{5}=\frac{4}{10}\), so the distance is \(\frac{7}{10}-\frac{4}{10}=\frac{3}{10}\). Use a common denominator before subtracting.

Step 2

Why this answer is correct

The correct answer is C. \(\frac{3}{10}\). \(\frac{2}{5}=\frac{4}{10}\), so the distance is \(\frac{7}{10}-\frac{4}{10}=\frac{3}{10}\). Use a common denominator before subtracting.

Step 3

Exam Tip

\(\frac{2}{5}=\frac{4}{10}\), इसलिए दूरी \(\frac{7}{10}-\frac{4}{10}=\frac{3}{10}\) है। समान हर बनाकर घटाएं।

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यदि (2) से (5) तक की दूरी को (6) बराबर भागों में बांटा जाए तो प्रत्येक भाग की लंबाई क्या होगी?

If the distance from (2) to (5) is divided into (6) equal parts, what is the length of each part?

Explanation opens after your attempt
Correct Answer

B. \(\frac{1}{2}\)

Step 1

Concept

The total distance is (5-2=3), and each part is \(\frac{3}{6}=\frac{1}{2}\). Find the total distance first.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{1}{2}\). The total distance is (5-2=3), and each part is \(\frac{3}{6}=\frac{1}{2}\). Find the total distance first.

Step 3

Exam Tip

कुल दूरी (5-2=3) है और प्रत्येक भाग \(\frac{3}{6}=\frac{1}{2}\) होगा। पहले कुल दूरी निकालें।

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संख्या रेखा पर \(-\frac{7}{3}\) की (0) से दूरी कितनी है?

What is the distance of \(-\frac{7}{3}\) from (0) on the number line?

Explanation opens after your attempt
Correct Answer

B. \(\frac{7}{3}\)

Step 1

Concept

Distance from (0) is magnitude, so \(\left|-\frac{7}{3}\right|=\frac{7}{3}\). Distance is never negative.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{7}{3}\). Distance from (0) is magnitude, so \(\left|-\frac{7}{3}\right|=\frac{7}{3}\). Distance is never negative.

Step 3

Exam Tip

(0) से दूरी परिमाण होती है इसलिए \(\left|-\frac{7}{3}\right|=\frac{7}{3}\) है। दूरी ऋणात्मक नहीं होती।

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संख्या रेखा पर \(\sqrt{25}\) और \(-\sqrt{9}\) के बीच की दूरी कितनी है?

What is the distance between \(\sqrt{25}\) and \(-\sqrt{9}\) on the number line?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

\(\sqrt{25}=5\) and \(-\sqrt{9}=-3\), so the distance is (|5-(-3)|=8). Simplify square roots first.

Step 2

Why this answer is correct

The correct answer is C. (8). \(\sqrt{25}=5\) and \(-\sqrt{9}=-3\), so the distance is (|5-(-3)|=8). Simplify square roots first.

Step 3

Exam Tip

\(\sqrt{25}=5\) और \(-\sqrt{9}=-3\), इसलिए दूरी (|5-(-3)|=8) है। पहले वर्गमूल सरल करें।

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यदि (-1) से (1) तक की दूरी को (8) बराबर भागों में बांटा जाए तो प्रत्येक भाग की लंबाई क्या होगी?

If the distance from (-1) to (1) is divided into (8) equal parts, what is the length of each part?

Explanation opens after your attempt
Correct Answer

B. \(\frac{1}{4}\)

Step 1

Concept

The total distance is (2), so each part is \(\frac{2}{8}=\frac{1}{4}\). Find the distance and divide by equal parts.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{1}{4}\). The total distance is (2), so each part is \(\frac{2}{8}=\frac{1}{4}\). Find the distance and divide by equal parts.

Step 3

Exam Tip

कुल दूरी (2) है इसलिए प्रत्येक भाग \(\frac{2}{8}=\frac{1}{4}\) होगा। दूरी निकालकर बराबर भागों से विभाजित करें।

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संख्या रेखा पर \(-\sqrt{16}\) और (2.5) के बीच की दूरी कितनी है?

What is the distance between \(-\sqrt{16}\) and (2.5) on the number line?

Explanation opens after your attempt
Correct Answer

C. (6.5)

Step 1

Concept

\(-\sqrt{16}=-4\), so the distance is (|2.5-(-4)|=6.5). Distance is always taken positive.

Step 2

Why this answer is correct

The correct answer is C. (6.5). \(-\sqrt{16}=-4\), so the distance is (|2.5-(-4)|=6.5). Distance is always taken positive.

Step 3

Exam Tip

\(-\sqrt{16}=-4\), इसलिए दूरी (|2.5-(-4)|=6.5) है। दूरी हमेशा धनात्मक लेते हैं।

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संख्या रेखा पर (x) ऐसा है कि (x) से (4) तक दूरी (1.5) है और (x<4)। (x) क्या है?

On the number line, (x) is at a distance (1.5) from (4) and (x<4). What is (x)?

Explanation opens after your attempt
Correct Answer

A. (2.5)

Step 1

Concept

Since (x<4), (x=4-1.5=2.5). In exams, read the direction condition along with distance.

Step 2

Why this answer is correct

The correct answer is A. (2.5). Since (x<4), (x=4-1.5=2.5). In exams, read the direction condition along with distance.

Step 3

Exam Tip

क्योंकि (x<4), इसलिए (x=4-1.5=2.5) होगा। परीक्षा में दूरी के साथ दिशा की शर्त भी पढ़ें।

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संख्या रेखा पर (A=1.2) से (B=3.75) तक दूरी कितनी है?

What is the distance from (A=1.2) to (B=3.75) on the number line?

Explanation opens after your attempt
Correct Answer

C. (2.55) इकाई(2.55) units

Step 1

Concept

The distance is (3.75-1.2=2.55) units. In exams, align decimal places correctly while subtracting.

Step 2

Why this answer is correct

The correct answer is C. (2.55) इकाई / (2.55) units. The distance is (3.75-1.2=2.55) units. In exams, align decimal places correctly while subtracting.

Step 3

Exam Tip

दूरी (3.75-1.2=2.55) इकाई है। परीक्षा में दशमलव स्थानों को सही मिलाकर घटाएं।

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संख्या रेखा पर \(M=-\frac{4}{5}\) और \(N=\frac{1}{10}\) के बीच दूरी कितनी है?

What is the distance between \(M=-\frac{4}{5}\) and \(N=\frac{1}{10}\) on the number line?

Explanation opens after your attempt
Correct Answer

B. \(\frac{9}{10}\) इकाई\(\frac{9}{10}\) unit

Step 1

Concept

The distance is (\frac{1}{10}-\left\(-\frac{4}{5}\right\)=\frac{9}{10}) unit. In exams, subtracting a negative fraction becomes addition.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{9}{10}\) इकाई / \(\frac{9}{10}\) unit. The distance is (\frac{1}{10}-\left\(-\frac{4}{5}\right\)=\frac{9}{10}) unit. In exams, subtracting a negative fraction becomes addition.

Step 3

Exam Tip

दूरी (\frac{1}{10}-\left\(-\frac{4}{5}\right\)=\frac{9}{10}) इकाई है। परीक्षा में ऋणात्मक भिन्न जोड़ में बदल जाती है।

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यदि संख्या रेखा पर \(P=\frac{2}{3}\) और \(Q=\frac{5}{6}\), तो (P) से (Q) तक दूरी कितनी है?

If \(P=\frac{2}{3}\) and \(Q=\frac{5}{6}\) on the number line, what is the distance from (P) to (Q)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{1}{6}\) इकाई\(\frac{1}{6}\) unit

Step 1

Concept

The distance is \(\frac{5}{6}-\frac{2}{3}=\frac{1}{6}\) unit. In exams, make denominators equal before subtracting.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{6}\) इकाई / \(\frac{1}{6}\) unit. The distance is \(\frac{5}{6}-\frac{2}{3}=\frac{1}{6}\) unit. In exams, make denominators equal before subtracting.

Step 3

Exam Tip

दूरी \(\frac{5}{6}-\frac{2}{3}=\frac{1}{6}\) इकाई है। परीक्षा में हर समान करके घटाएं।

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संख्या रेखा पर (-2.75) और (1.25) के बीच की दूरी कितनी है?

What is the distance between (-2.75) and (1.25) on the number line?

Explanation opens after your attempt
Correct Answer

B. (4) इकाई(4) units

Step 1

Concept

The distance is (1.25-\left\(-2.75\right\)=4) units. In exams, do not miss signs while subtracting negative decimals.

Step 2

Why this answer is correct

The correct answer is B. (4) इकाई / (4) units. The distance is (1.25-\left\(-2.75\right\)=4) units. In exams, do not miss signs while subtracting negative decimals.

Step 3

Exam Tip

दूरी (1.25-\left\(-2.75\right\)=4) इकाई है। परीक्षा में ऋणात्मक दशमलव घटाते समय चिह्न न भूलें।

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संख्या रेखा पर \(A=-\frac{3}{2}\) और \(B=\frac{5}{2}\) के बीच दूरी कितनी है?

What is the distance between \(A=-\frac{3}{2}\) and \(B=\frac{5}{2}\) on the number line?

Explanation opens after your attempt
Correct Answer

C. (4) इकाई(4) units

Step 1

Concept

The distance is (\frac{5}{2}-\left\(-\frac{3}{2}\right\)=4) units. In exams, always take distance as positive.

Step 2

Why this answer is correct

The correct answer is C. (4) इकाई / (4) units. The distance is (\frac{5}{2}-\left\(-\frac{3}{2}\right\)=4) units. In exams, always take distance as positive.

Step 3

Exam Tip

दूरी (\frac{5}{2}-\left\(-\frac{3}{2}\right\)=4) इकाई है। परीक्षा में दूरी हमेशा धनात्मक लें।

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संख्या रेखा पर (A=-0.5), (B=0), और (C=0.75) हों तो सबसे बड़ी दूरी किस युग्म के बीच है?

If (A=-0.5), (B=0), and (C=0.75) on the number line, which pair has the greatest distance?

Explanation opens after your attempt
Correct Answer

C. (A) और (C)(A) and (C)

Step 1

Concept

(AC=|0.75-(-0.5)|=1.25), which is the greatest distance. The farthest points are often the endpoints.

Step 2

Why this answer is correct

The correct answer is C. (A) और (C) / (A) and (C). (AC=|0.75-(-0.5)|=1.25), which is the greatest distance. The farthest points are often the endpoints.

Step 3

Exam Tip

(AC=|0.75-(-0.5)|=1.25), जो सबसे बड़ी दूरी है। सबसे दूर बिंदु अक्सर दोनों सिरों पर होते हैं।

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यदि संख्या रेखा पर (0.2) से (0.8) तक की दूरी को (3) बराबर भागों में बांटा जाए तो प्रत्येक भाग कितना होगा?

If the distance from (0.2) to (0.8) on the number line is divided into (3) equal parts, how long is each part?

Explanation opens after your attempt
Correct Answer

B. (0.2)

Step 1

Concept

The total distance is (0.8-0.2=0.6) and \(\frac{0.6}{3}=0.2\). Divide total distance by the number of parts for equal sections.

Step 2

Why this answer is correct

The correct answer is B. (0.2). The total distance is (0.8-0.2=0.6) and \(\frac{0.6}{3}=0.2\). Divide total distance by the number of parts for equal sections.

Step 3

Exam Tip

कुल दूरी (0.8-0.2=0.6) है और \(\frac{0.6}{3}=0.2\) है। बराबर भाग के लिए कुल दूरी को भागों से विभाजित करें।

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संख्या रेखा पर (-1.2) से (0.3) तक की दूरी कितनी है?

What is the distance from (-1.2) to (0.3) on the number line?

Explanation opens after your attempt
Correct Answer

C. (1.5)

Step 1

Concept

The distance is (|0.3-(-1.2)|=1.5). From negative to positive, the two distances add up.

Step 2

Why this answer is correct

The correct answer is C. (1.5). The distance is (|0.3-(-1.2)|=1.5). From negative to positive, the two distances add up.

Step 3

Exam Tip

दूरी (=|0.3-(-1.2)|=1.5) है। ऋणात्मक से धनात्मक तक जाते समय दोनों दूरियां जुड़ती हैं।

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कौन सा विकल्प संख्या रेखा पर (0) से समान दूरी पर स्थित दो बिंदु दिखाता है?

Which option shows two points at equal distance from (0) on the number line?

Explanation opens after your attempt
Correct Answer

A. (2.5) और (-2.5)(2.5) and (-2.5)

Step 1

Concept

Both (2.5) and (-2.5) are (2.5) units from (0). Opposite numbers are equally distant from the origin.

Step 2

Why this answer is correct

The correct answer is A. (2.5) और (-2.5) / (2.5) and (-2.5). Both (2.5) and (-2.5) are (2.5) units from (0). Opposite numbers are equally distant from the origin.

Step 3

Exam Tip

(2.5) और (-2.5) दोनों की (0) से दूरी (2.5) है। विपरीत संख्याएं मूल बिंदु से बराबर दूरी पर होती हैं।

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संख्या रेखा पर \(-\sqrt{9}\) और \(\sqrt{9}\) के बीच की दूरी कितनी है?

What is the distance between \(-\sqrt{9}\) and \(\sqrt{9}\) on the number line?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

\(-\sqrt{9}=-3\) and \(\sqrt{9}=3\), so the distance is (6). The distance between opposite points is the sum of their magnitudes.

Step 2

Why this answer is correct

The correct answer is B. (6). \(-\sqrt{9}=-3\) and \(\sqrt{9}=3\), so the distance is (6). The distance between opposite points is the sum of their magnitudes.

Step 3

Exam Tip

\(-\sqrt{9}=-3\) और \(\sqrt{9}=3\), इसलिए दूरी (6) है। विपरीत बिंदुओं की दूरी उनके परिमाणों का योग होती है।

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संख्या रेखा पर (A=-3) और (B=2) हों तो (A) से (B) तक की दूरी क्या है?

If (A=-3) and (B=2) on the number line, what is the distance from (A) to (B)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The distance is (|2-(-3)|=5). Distance on the number line is always positive.

Step 2

Why this answer is correct

The correct answer is C. (5). The distance is (|2-(-3)|=5). Distance on the number line is always positive.

Step 3

Exam Tip

दूरी (=|2-(-3)|=5) है। संख्या रेखा पर दूरी हमेशा धनात्मक होती है।

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यदि संख्या रेखा पर (C=2.5) और (D=4) हैं, तो दोनों के बीच दूरी कितनी है?

If (C=2.5) and (D=4) on the number line, what is the distance between them?

Explanation opens after your attempt
Correct Answer

B. (1.5) इकाई(1.5) units

Step 1

Concept

The distance is (4-2.5=1.5) units. In exams, perform decimal subtraction clearly.

Step 2

Why this answer is correct

The correct answer is B. (1.5) इकाई / (1.5) units. The distance is (4-2.5=1.5) units. In exams, perform decimal subtraction clearly.

Step 3

Exam Tip

दूरी (4-2.5=1.5) इकाई है। परीक्षा में दशमलव घटाव साफ-साफ करें।

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यदि संख्या रेखा पर (A=-3) और (B=1) हैं, तो (A) से (B) तक दूरी कितनी है?

If (A=-3) and (B=1) on the number line, what is the distance from (A) to (B)?

Explanation opens after your attempt
Correct Answer

C. (4) इकाई(4) units

Step 1

Concept

The distance is (1-(-3)=4) units. In exams, use brackets while subtracting signed numbers.

Step 2

Why this answer is correct

The correct answer is C. (4) इकाई / (4) units. The distance is (1-(-3)=4) units. In exams, use brackets while subtracting signed numbers.

Step 3

Exam Tip

दूरी (1-(-3)=4) इकाई है। परीक्षा में दो चिह्नों के बीच घटाव करते समय कोष्ठक लगाएं।

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संख्या रेखा पर (-5) और (-1) के बीच की दूरी कितनी है?

What is the distance between (-5) and (-1) on the number line?

Explanation opens after your attempt
Correct Answer

C. (4) इकाई(4) units

Step 1

Concept

The distance is (-1-(-5)=4) units. In exams, distance is always positive.

Step 2

Why this answer is correct

The correct answer is C. (4) इकाई / (4) units. The distance is (-1-(-5)=4) units. In exams, distance is always positive.

Step 3

Exam Tip

दूरी (-1-(-5)=4) इकाई है। परीक्षा में दूरी हमेशा धनात्मक होती है।

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संख्या रेखा पर (7) और (10) के बीच की दूरी कितनी है?

What is the distance between (7) and (10) on the number line?

Explanation opens after your attempt
Correct Answer

B. (3) इकाई(3) units

Step 1

Concept

The distance is (10-7=3) units. In exams, subtract the smaller number from the larger number to find distance.

Step 2

Why this answer is correct

The correct answer is B. (3) इकाई / (3) units. The distance is (10-7=3) units. In exams, subtract the smaller number from the larger number to find distance.

Step 3

Exam Tip

दूरी (10-7=3) इकाई है। परीक्षा में दो बिंदुओं की दूरी के लिए बड़ी संख्या से छोटी संख्या घटाएं।

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संख्या रेखा पर (-4) और (1) के बीच दूरी कितनी है?

What is the distance between (-4) and (1) on the number line?

Explanation opens after your attempt
Correct Answer

A. (5) इकाई(5) units

Step 1

Concept

The distance is (|1-(-4)|=5) units. For distance between two points, take the absolute difference.

Step 2

Why this answer is correct

The correct answer is A. (5) इकाई / (5) units. The distance is (|1-(-4)|=5) units. For distance between two points, take the absolute difference.

Step 3

Exam Tip

दूरी (|1-(-4)|=5) इकाई है। दो बिंदुओं की दूरी के लिए अंतर का मान लें।

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संख्या रेखा पर (0) से (3) तक की दूरी कितनी है?

What is the distance from (0) to (3) on the number line?

Explanation opens after your attempt
Correct Answer

A. (3) इकाई(3) units

Step 1

Concept

The distance is (|3-0|=3) units. Distance is always non-negative.

Step 2

Why this answer is correct

The correct answer is A. (3) इकाई / (3) units. The distance is (|3-0|=3) units. Distance is always non-negative.

Step 3

Exam Tip

दूरी (|3-0|=3) इकाई होती है। दूरी हमेशा अऋणात्मक होती है।

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संख्या रेखा पर किसी संख्या (a) और (b) के बीच दूरी का सही सूत्र कौन-सा है?

Which is the correct formula for the distance between two numbers (a) and (b) on the number line?

Explanation opens after your attempt
Correct Answer

A. (|a-b|)

Step 1

Concept

The distance on the number line is (|a-b|). Absolute value makes the distance positive.

Step 2

Why this answer is correct

The correct answer is A. (|a-b|). The distance on the number line is (|a-b|). Absolute value makes the distance positive.

Step 3

Exam Tip

संख्या रेखा पर दूरी (|a-b|) होती है। निरपेक्ष मान दूरी को धनात्मक बनाता है।

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संख्या रेखा पर (-3) से (2) तक की दूरी कितनी है?

What is the distance from (-3) to (2) on the number line?

Explanation opens after your attempt
Correct Answer

A. (5) इकाई(5) units

Step 1

Concept

The distance is (|2-(-3)|=5) units. Be careful with signs when subtracting a negative number.

Step 2

Why this answer is correct

The correct answer is A. (5) इकाई / (5) units. The distance is (|2-(-3)|=5) units. Be careful with signs when subtracting a negative number.

Step 3

Exam Tip

दूरी (|2-(-3)|=5) इकाई है। ऋणात्मक संख्या घटाते समय चिह्न पर ध्यान दें।

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संख्या रेखा पर (4) से (6) तक की दूरी कितनी है?

What is the distance from (4) to (6) on the number line?

Explanation opens after your attempt
Correct Answer

A. (2) इकाई(2) units

Step 1

Concept

The distance is (|6-4|=2) units. Distance on the number line is always taken positive.

Step 2

Why this answer is correct

The correct answer is A. (2) इकाई / (2) units. The distance is (|6-4|=2) units. Distance on the number line is always taken positive.

Step 3

Exam Tip

दूरी (|6-4|=2) इकाई है। संख्या रेखा पर दूरी हमेशा धनात्मक मानी जाती है।

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यदि (p(x)=x-2-3x-28), तो (p(x)) के शून्यकों के मध्य दूरी क्या है?

If (p(x)=x-2-3x-28), what is the distance between its zeroes?

Explanation opens after your attempt
Correct Answer

A. (11)

Step 1

Concept

(p(x)=(x-7)(x+4)), so the zeroes are (7) and (-4). The distance is (|7-(-4)|=11).

Step 2

Why this answer is correct

The correct answer is A. (11). (p(x)=(x-7)(x+4)), so the zeroes are (7) and (-4). The distance is (|7-(-4)|=11).

Step 3

Exam Tip

(p(x)=(x-7)(x+4)), इसलिए शून्यक (7) और (-4) हैं। दूरी (|7-(-4)|=11) है।

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एक ट्रेन (300 km) दूरी तय करती है। यदि उसकी चाल (10 km/h) अधिक होती, तो समय (1 h) कम लगता। ट्रेन की वास्तविक चाल क्या थी?

A train covers a distance of (300 km). If its speed were (10 km/h) more, it would take (1 h) less. What was the actual speed of the train?

Explanation opens after your attempt
Correct Answer

B. \((50\text{ km\)h})

Step 1

Concept

Let the actual speed be (x km/h\(), then (\frac{300}{x}-\frac{300}{x+10}=1). This gives (x^2+10x-3000=0), so the positive root is (x=50).\)

Step 2

Why this answer is correct

The correct answer is B. (50 km / h). Let the actual speed be (x km/h\(), then (\frac{300}{x}-\frac{300}{x+10}=1). This gives (x^2+10x-3000=0), so the positive root is (x=50).\)

Step 3

Exam Tip

वास्तविक चाल (x km/h) मानें, तब \(\frac{300}{x}-\frac{300}{x+10}=1\)। \(इससे (x^2+10x-3000=0), इसलिए धनात्मक मूल (x=50) है\)।

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एक सीढ़ी दीवार से (84) मीटर ऊपर पहुँचती है। सीढ़ी की लंबाई उसके आधार की दूरी से (42) मीटर अधिक है। आधार की दूरी क्या है?

A ladder reaches (84) m up a wall. The ladder length is (42) m more than the distance of its foot from the wall. What is that distance?

Explanation opens after your attempt
Correct Answer

B. (63) मीटर(63) m

Step 1

Concept

If the base distance is (x), then (x-2+842=(x+42)2), giving (x=63). The hypotenuse is always the greatest length.

Step 2

Why this answer is correct

The correct answer is B. (63) मीटर / (63) m. If the base distance is (x), then (x-2+842=(x+42)2), giving (x=63). The hypotenuse is always the greatest length.

Step 3

Exam Tip

आधार दूरी (x) हो तो (x-2+842=(x+42)2), जिससे (x=63) है। कर्ण हमेशा सबसे बड़ी लंबाई होती है।

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एक सीढ़ी दीवार से (96) मीटर ऊपर पहुँचती है। सीढ़ी की लंबाई उसके आधार की दूरी से (32) मीटर अधिक है। आधार की दूरी क्या है?

A ladder reaches (96) m up a wall. The ladder length is (32) m more than the distance of its foot from the wall. What is that distance?

Explanation opens after your attempt
Correct Answer

B. (128) मीटर(128) m

Step 1

Concept

If the base distance is (x), then (x-2+962=(x+32)2), giving (x=128). The hypotenuse is always the greatest length.

Step 2

Why this answer is correct

The correct answer is B. (128) मीटर / (128) m. If the base distance is (x), then (x-2+962=(x+32)2), giving (x=128). The hypotenuse is always the greatest length.

Step 3

Exam Tip

आधार दूरी (x) हो तो (x-2+962=(x+32)2), जिससे (x=128) है। कर्ण हमेशा सबसे बड़ी लंबाई होती है।

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एक सीढ़ी दीवार से (72) मीटर ऊपर पहुँचती है। सीढ़ी की लंबाई उसके आधार की दूरी से (18) मीटर अधिक है। आधार की दूरी क्या है?

A ladder reaches (72) m up a wall. The ladder length is (18) m more than the distance of its foot from the wall. What is that distance?

Explanation opens after your attempt
Correct Answer

B. (135) मीटर(135) m

Step 1

Concept

If the base distance is (x), then (x-2+722=(x+18)2), giving (x=135). The hypotenuse is always the greatest length.

Step 2

Why this answer is correct

The correct answer is B. (135) मीटर / (135) m. If the base distance is (x), then (x-2+722=(x+18)2), giving (x=135). The hypotenuse is always the greatest length.

Step 3

Exam Tip

आधार दूरी (x) हो तो (x-2+722=(x+18)2), जिससे (x=135) है। कर्ण हमेशा सबसे बड़ी लंबाई होती है।

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एक सीढ़ी दीवार से (24) मीटर ऊपर पहुँचती है। सीढ़ी की लंबाई उसके आधार की दूरी से (18) मीटर अधिक है। आधार की दूरी क्या है?

A ladder reaches (24) m up a wall. The ladder length is (18) m more than the distance of its foot from the wall. What is that distance?

Explanation opens after your attempt
Correct Answer

A. (7) मीटर(7) m

Step 1

Concept

If the base distance is (x), then (x-2+242=(x+18)2), giving (x=7). The hypotenuse is always the greatest length.

Step 2

Why this answer is correct

The correct answer is A. (7) मीटर / (7) m. If the base distance is (x), then (x-2+242=(x+18)2), giving (x=7). The hypotenuse is always the greatest length.

Step 3

Exam Tip

आधार दूरी (x) हो तो (x-2+242=(x+18)2), जिससे (x=7) है। कर्ण हमेशा सबसे बड़ी लंबाई होती है।

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यदि (p(x)=x-2-19x+90) है, तो ग्राफ के शून्यकों के बीच दूरी कितनी है?

If (p(x)=x-2-19x+90), what is the distance between the zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(x-2-19x+90=(x-9)(x-10)), so the distance is (10-9=1). Tip: find zeroes first and then take distance.

Step 2

Why this answer is correct

The correct answer is A. (1). (x-2-19x+90=(x-9)(x-10)), so the distance is (10-9=1). Tip: find zeroes first and then take distance.

Step 3

Exam Tip

(x-2-19x+90=(x-9)(x-10)) है, इसलिए दूरी (10-9=1) है। टिप: पहले शून्यक निकालें फिर दूरी लें।

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यदि (p(-7)=0), (p(-3)<0), (p(4)=0), (p(8)>0) है, तो दिए गए शून्यकों के बीच दूरी क्या है?

If (p(-7)=0), (p(-3)<0), (p(4)=0), (p(8)>0), what is the distance between the given zeroes?

Explanation opens after your attempt
Correct Answer

A. (11)

Step 1

Concept

The given zeroes are (-7) and (4), so the distance is (4-(-7)=11). Tip: take only (x)-values where (p(x)=0).

Step 2

Why this answer is correct

The correct answer is A. (11). The given zeroes are (-7) and (4), so the distance is (4-(-7)=11). Tip: take only (x)-values where (p(x)=0).

Step 3

Exam Tip

दिए गए शून्यक (-7) और (4) हैं इसलिए दूरी (4-(-7)=11) है। टिप: केवल (p(x)=0) वाले (x)-मान लें।

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यदि (p(x)=x-2-17x+72) है, तो ग्राफ के शून्यकों के बीच दूरी कितनी है?

If (p(x)=x-2-17x+72), what is the distance between the zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(x-2-17x+72=(x-8)(x-9)), so the distance is (9-8=1). Tip: find zeroes first and then take distance.

Step 2

Why this answer is correct

The correct answer is A. (1). (x-2-17x+72=(x-8)(x-9)), so the distance is (9-8=1). Tip: find zeroes first and then take distance.

Step 3

Exam Tip

(x-2-17x+72=(x-8)(x-9)) है, इसलिए दूरी (9-8=1) है। टिप: पहले शून्यक निकालें फिर दूरी लें।

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यदि (p(-6)=0), (p(-2)<0), (p(5)=0), (p(9)>0) है, तो दिए गए शून्यकों के बीच दूरी क्या है?

If (p(-6)=0), (p(-2)<0), (p(5)=0), (p(9)>0), what is the distance between the given zeroes?

Explanation opens after your attempt
Correct Answer

B. (11)

Step 1

Concept

The given zeroes are (-6) and (5), so the distance is (5-(-6)=11). Tip: take only (x)-values where (p(x)=0).

Step 2

Why this answer is correct

The correct answer is B. (11). The given zeroes are (-6) and (5), so the distance is (5-(-6)=11). Tip: take only (x)-values where (p(x)=0).

Step 3

Exam Tip

दिए गए शून्यक (-6) और (5) हैं, इसलिए दूरी (5-(-6)=11) है। टिप: केवल (p(x)=0) वाले (x)-मान लें।

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यदि (p(x)=x-2-15x+56) है तो ग्राफ के शून्यकों के बीच दूरी कितनी है?

If (p(x)=x-2-15x+56), what is the distance between the zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(x-2-15x+56=(x-7)(x-8)), so the distance is (8-7=1). Tip: find zeroes first and then take distance.

Step 2

Why this answer is correct

The correct answer is A. (1). (x-2-15x+56=(x-7)(x-8)), so the distance is (8-7=1). Tip: find zeroes first and then take distance.

Step 3

Exam Tip

(x-2-15x+56=(x-7)(x-8)) है इसलिए दूरी (8-7=1) है। टिप: पहले शून्यक निकालें फिर दूरी लें।

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यदि (p(x)=x-2-13x+42) है, तो ग्राफ के शून्यकों के बीच दूरी कितनी है?

If (p(x)=x-2-13x+42), what is the distance between the zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(x-2-13x+42=(x-6)(x-7)), so the distance is (7-6=1). Tip: find zeroes first and then take distance.

Step 2

Why this answer is correct

The correct answer is A. (1). (x-2-13x+42=(x-6)(x-7)), so the distance is (7-6=1). Tip: find zeroes first and then take distance.

Step 3

Exam Tip

(x-2-13x+42=(x-6)(x-7)) है, इसलिए दूरी (7-6=1) है। टिप: पहले शून्यक निकालें फिर दूरी लें।

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यदि (p(x)=x-2-11x+30) है, तो ग्राफ के शून्यकों के बीच दूरी कितनी है?

If (p(x)=x-2-11x+30), what is the distance between the zeroes of the graph?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

(x-2-11x+30=(x-5)(x-6)), so the distance is (6-5=1). Tip: find zeroes first and then take the distance.

Step 2

Why this answer is correct

The correct answer is A. (1). (x-2-11x+30=(x-5)(x-6)), so the distance is (6-5=1). Tip: find zeroes first and then take the distance.

Step 3

Exam Tip

(x-2-11x+30=(x-5)(x-6)), इसलिए दूरी (6-5=1) है। टिप: पहले शून्यक निकालें फिर दूरी लें।

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यदि किसी ग्राफ के शून्यक (-4) और (9) हैं तो (x)-अक्ष पर इनके बीच दूरी कितनी है?

If the zeroes of a graph are (-4) and (9), what is the distance between them on the (x)-axis?

Explanation opens after your attempt
Correct Answer

C. (13)

Step 1

Concept

The distance is (9-(-4)=13). Tip: distance is always taken as positive.

Step 2

Why this answer is correct

The correct answer is C. (13). The distance is (9-(-4)=13). Tip: distance is always taken as positive.

Step 3

Exam Tip

दूरी (9-(-4)=13) है। टिप: दूरी हमेशा धनात्मक ली जाती है।

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किसी आलेख में (x)-अक्ष कटान (x=2) और (x=10) हैं। दोनों शून्यकों के बीच दूरी कितनी है?

A graph has (x)-axis intersections at (x=2) and (x=10). What is the distance between the two zeroes?

Explanation opens after your attempt
Correct Answer

A. (8)

Step 1

Concept

The distance is (10-2=8). Tip: distance is always measured positive.

Step 2

Why this answer is correct

The correct answer is A. (8). The distance is (10-2=8). Tip: distance is always measured positive.

Step 3

Exam Tip

दूरी (10-2=8) है। टिप: दूरी हमेशा धनात्मक मापी जाती है।

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एक ग्राफ (x)-अक्ष को (x=-3) और (x=9) पर काटता है। शून्यकों के बीच दूरी कितनी है?

A graph cuts the (x)-axis at (x=-3) and (x=9). What is the distance between the zeroes?

Explanation opens after your attempt
Correct Answer

C. (12)

Step 1

Concept

The distance is (9-(-3)=12). Tip: distance is always positive.

Step 2

Why this answer is correct

The correct answer is C. (12). The distance is (9-(-3)=12). Tip: distance is always positive.

Step 3

Exam Tip

दूरी (9-(-3)=12) है। टिप: दूरी हमेशा धनात्मक होती है।

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दांडी मार्च की दूरी लगभग कितनी थी?

What was the approximate distance of the Dandi March?

Explanation opens after your attempt
Correct Answer

B. दो सौ चालीस मीलTwo hundred forty miles

Step 1

Concept

The journey from Sabarmati to Dandi was about 240 miles.

Step 2

Why this answer is correct

The long march spread enthusiasm among people.

Step 3

Exam Tip

Link the distance with the purpose of the march. चरण 1: साबरमती से दांडी तक की यात्रा लगभग दो सौ चालीस मील थी। चरण 2: इस लंबी यात्रा ने लोगों में उत्साह फैलाया। चरण 3: दूरी और मार्च के उद्देश्य को साथ जोड़ें।

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दांडी यात्रा लगभग कितनी दूरी की थी?

What was the approximate distance of the Dandi March?

Explanation opens after your attempt
Correct Answer

A. करीब दो सौ चालीस मीलAbout 240 miles

Step 1

Concept

The Dandi March was not a small symbolic walk.

Step 2

Why this answer is correct

It was a long march of about 240 miles.

Step 3

Exam Tip

In exams, connect the distance with the seriousness of the march. चरण 1: दांडी यात्रा छोटी प्रतीकात्मक यात्रा नहीं थी। चरण 2: यह करीब दो सौ चालीस मील की लंबी पदयात्रा थी। चरण 3: परीक्षा में दूरी को दांडी यात्रा की गंभीरता से जोड़ें।

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कला के तत्वों को सीखने का अंतिम शैक्षिक उद्देश्य क्या है?

What is the final educational aim of learning elements of art?

Explanation opens after your attempt
Correct Answer

A. दृश्य रचना को समझना बनाना जांचना और सुधारनाTo understand create evaluate and improve visual composition

Step 1

Concept

Learning art elements helps in both creation and criticism. Exam tip: write both creation and evaluation.

Step 2

Why this answer is correct

The correct answer is A. दृश्य रचना को समझना बनाना जांचना और सुधारना / To understand create evaluate and improve visual composition. Learning art elements helps in both creation and criticism. Exam tip: write both creation and evaluation.

Step 3

Exam Tip

कला तत्व सीखना रचना और आलोचना दोनों में मदद करता है। परीक्षा में creation और evaluation दोनों लिखें।

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ओदंतपुरी महाविहार किस राज्य की बौद्ध शिक्षा परंपरा से जुड़ा माना जाता है?

Odantapuri Mahavihara is considered linked with the Buddhist learning tradition of which state?

Explanation opens after your attempt
Correct Answer

A. बिहारBihar

Step 1

Concept

Odantapuri is considered a mahavihara linked with Bihar's Buddhist learning tradition. For exams remember ancient learning centers of Bihar.

Step 2

Why this answer is correct

The correct answer is A. बिहार / Bihar. Odantapuri is considered a mahavihara linked with Bihar's Buddhist learning tradition. For exams remember ancient learning centers of Bihar.

Step 3

Exam Tip

ओदंतपुरी बिहार की बौद्ध शिक्षा परंपरा से जुड़ा महाविहार माना जाता है। परीक्षा में बिहार के प्राचीन शिक्षा केंद्र याद रखें।

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हौज खास परिसर किस शासक द्वारा विकसित जलाशय और शिक्षा केंद्र से जुड़ा है?

Hauz Khas complex is linked with a reservoir and learning centre developed by which ruler?

Explanation opens after your attempt
Correct Answer

B. फिरोज शाह तुगलकFiruz Shah Tughlaq

Step 1

Concept

Hauz Khas complex is linked with the works of Firuz Shah Tughlaq. Remember water management and madrasa construction in the Tughlaq period.

Step 2

Why this answer is correct

The correct answer is B. फिरोज शाह तुगलक / Firuz Shah Tughlaq. Hauz Khas complex is linked with the works of Firuz Shah Tughlaq. Remember water management and madrasa construction in the Tughlaq period.

Step 3

Exam Tip

हौज खास परिसर फिरोज शाह तुगलक के निर्माण कार्यों से जुड़ा है। तुगलक काल में जल प्रबंधन और मदरसा निर्माण याद रखें।

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विक्रमशिला महाविहार किस नदी के निकट बिहार में स्थित प्राचीन शिक्षा केंद्र था?

Vikramashila Mahavihara was an ancient learning centre in Bihar near which river?

Explanation opens after your attempt
Correct Answer

A. गंगाGanga

Step 1

Concept

Vikramashila was an ancient learning centre in Bihar near the Ganga River. In exams connect it with Pala rulers.

Step 2

Why this answer is correct

The correct answer is A. गंगा / Ganga. Vikramashila was an ancient learning centre in Bihar near the Ganga River. In exams connect it with Pala rulers.

Step 3

Exam Tip

विक्रमशिला बिहार में गंगा नदी के निकट स्थित प्राचीन शिक्षा केंद्र था। परीक्षा में इसे पाल शासकों से जोड़ें।

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राजा भोज को किस नगर और विद्या संरक्षण से विशेष रूप से जोड़ा जाता है?

Raja Bhoja is especially associated with which city and patronage of learning?

Explanation opens after your attempt
Correct Answer

A. धारा और विद्या संरक्षणDhara and patronage of learning

Step 1

Concept

The Paramara ruler Raja Bhoja is famous for Dhara and patronage of learning. For exams connect cultural rulers with their centers.

Step 2

Why this answer is correct

The correct answer is A. धारा और विद्या संरक्षण / Dhara and patronage of learning. The Paramara ruler Raja Bhoja is famous for Dhara and patronage of learning. For exams connect cultural rulers with their centers.

Step 3

Exam Tip

परमार शासक राजा भोज धारा और विद्या संरक्षण के लिए प्रसिद्ध हैं। परीक्षा में सांस्कृतिक शासकों को उनके केंद्रों से जोड़ें।

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कुमारगुप्त प्रथम को परंपरागत रूप से किस शिक्षण केंद्र की स्थापना से जोड़ा जाता है?

Kumaragupta I is traditionally associated with the foundation of which learning centre?

Explanation opens after your attempt
Correct Answer

A. नालंदाNalanda

Step 1

Concept

Kumaragupta I is associated with the foundation of Nalanda University. Link the Gupta period with learning and culture in exams.

Step 2

Why this answer is correct

The correct answer is A. नालंदा / Nalanda. Kumaragupta I is associated with the foundation of Nalanda University. Link the Gupta period with learning and culture in exams.

Step 3

Exam Tip

कुमारगुप्त प्रथम को नालंदा विश्वविद्यालय की स्थापना से जोड़ा जाता है। परीक्षा में गुप्त काल को शिक्षा और संस्कृति से जोड़ें।

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धर्मपाल किस महान शिक्षण संस्था के संरक्षण से विशेष रूप से जुड़ा है?

Dharmapala is especially associated with patronage of which great learning institution?

Explanation opens after your attempt
Correct Answer

A. विक्रमशिला विश्वविद्यालयVikramashila University

Step 1

Concept

Dharmapala is associated with patronage of Vikramashila University. Remember the Pala rulers as patrons of Buddhist learning.

Step 2

Why this answer is correct

The correct answer is A. विक्रमशिला विश्वविद्यालय / Vikramashila University. Dharmapala is associated with patronage of Vikramashila University. Remember the Pala rulers as patrons of Buddhist learning.

Step 3

Exam Tip

धर्मपाल को विक्रमशिला विश्वविद्यालय के संरक्षण से जोड़ा जाता है। पाल शासकों को बौद्ध शिक्षा के संरक्षक के रूप में याद करें।

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राजा भोज की विद्या और कला संरक्षण की छवि किस क्षेत्र से जुड़ी है?

Raja Bhoja's image of patronage of learning and art is linked with which region?

Explanation opens after your attempt
Correct Answer

A. मालवाMalwa

Step 1

Concept

Raja Bhoja was a Paramara ruler of Malwa. Remember him for patronage of learning art and literature.

Step 2

Why this answer is correct

The correct answer is A. मालवा / Malwa. Raja Bhoja was a Paramara ruler of Malwa. Remember him for patronage of learning art and literature.

Step 3

Exam Tip

राजा भोज मालवा के परमार शासक थे। उन्हें विद्या कला और साहित्य के संरक्षण से याद करें।

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कुमारगुप्त प्रथम से किस शिक्षा केंद्र की स्थापना जोड़ी जाती है?

Kumaragupta I is associated with the founding of which centre of learning?

Explanation opens after your attempt
Correct Answer

D. नालंदाNalanda

Step 1

Concept

The founding of Nalanda University is associated with Kumaragupta I. Remember it with the educational tradition of the Gupta period.

Step 2

Why this answer is correct

The correct answer is D. नालंदा / Nalanda. The founding of Nalanda University is associated with Kumaragupta I. Remember it with the educational tradition of the Gupta period.

Step 3

Exam Tip

नालंदा विश्वविद्यालय की स्थापना कुमारगुप्त प्रथम से जोड़ी जाती है। इसे गुप्त काल की शिक्षा परंपरा से याद करें।

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धर्मपाल किस प्रसिद्ध बौद्ध शिक्षा केंद्र से जुड़ा माना जाता है?

Dharmapala is considered associated with which famous Buddhist learning centre?

Explanation opens after your attempt
Correct Answer

B. विक्रमशिलाVikramashila

Step 1

Concept

Vikramashila Mahavihara is associated with Dharmapala. For exams, connect Pala rulers with Mahaviharas.

Step 2

Why this answer is correct

The correct answer is B. विक्रमशिला / Vikramashila. Vikramashila Mahavihara is associated with Dharmapala. For exams, connect Pala rulers with Mahaviharas.

Step 3

Exam Tip

विक्रमशिला महाविहार धर्मपाल से जुड़ा माना जाता है। परीक्षा में पाल शासकों को महाविहारों से जोड़ें।

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यास्क का निरुक्त प्राचीन भारत में किस विद्या का महत्वपूर्ण स्रोत है?

Yaska's Nirukta is an important source of which learning in ancient India?

Explanation opens after your attempt
Correct Answer

A. वैदिक व्युत्पत्ति शास्त्रVedic etymology

Step 1

Concept

Yaska strengthened the tradition of explaining Vedic words. For exams, place Nirukta within the Vedanga tradition.

Step 2

Why this answer is correct

The correct answer is A. वैदिक व्युत्पत्ति शास्त्र / Vedic etymology. Yaska strengthened the tradition of explaining Vedic words. For exams, place Nirukta within the Vedanga tradition.

Step 3

Exam Tip

यास्क ने वैदिक शब्दों की व्याख्या से अर्थ परंपरा को मजबूत किया। परीक्षा में निरुक्त को वेदांग परंपरा में रखें।

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ओदंतपुरी महाविहार किस क्षेत्र में स्थित बौद्ध शिक्षा केंद्र था?

Odantapuri Mahavihara was a Buddhist learning centre located in which region?

Explanation opens after your attempt
Correct Answer

A. बिहारBihar

Step 1

Concept

Odantapuri was a Pala period Buddhist learning centre in Bihar. For exams, remember Nalanda Vikramashila and Odantapuri of Bihar together.

Step 2

Why this answer is correct

The correct answer is A. बिहार / Bihar. Odantapuri was a Pala period Buddhist learning centre in Bihar. For exams, remember Nalanda Vikramashila and Odantapuri of Bihar together.

Step 3

Exam Tip

ओदंतपुरी बिहार का पालकालीन बौद्ध शिक्षा केंद्र था। परीक्षा में बिहार के नालंदा विक्रमशिला और ओदंतपुरी को साथ याद रखें।

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वल्लभी विश्वविद्यालय किस क्षेत्र में स्थित प्राचीन शिक्षा केंद्र था?

Valabhi University was an ancient learning centre located in which region?

Explanation opens after your attempt
Correct Answer

A. गुजरातGujarat

Step 1

Concept

Valabhi was an important learning centre of Gujarat. For exams, remember other educational centres along with Nalanda.

Step 2

Why this answer is correct

The correct answer is A. गुजरात / Gujarat. Valabhi was an important learning centre of Gujarat. For exams, remember other educational centres along with Nalanda.

Step 3

Exam Tip

वल्लभी गुजरात का महत्वपूर्ण शिक्षा केंद्र था। परीक्षा में नालंदा के साथ अन्य शिक्षा केंद्र भी याद रखें।

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मस्तिष्क का कौन सा भाग सोचने और सीखने से जुड़ा है?

Which part of the brain is related to thinking and learning?

Explanation opens after your attempt
Correct Answer

A. प्रमस्तिष्कCerebrum

Step 1

Concept

Thinking learning and memory are higher functions.

Step 2

Why this answer is correct

These functions are mainly related to the cerebrum.

Step 3

Exam Tip

Remember the cerebrum as the part linked with intelligence and memory. चरण 1: सोचने सीखने और स्मरण जैसे कार्य उच्च स्तर के कार्य हैं। चरण 2: ये कार्य मुख्य रूप से प्रमस्तिष्क से जुड़े होते हैं। चरण 3: परीक्षा में प्रमस्तिष्क को बुद्धि और याददाश्त से जोड़कर याद रखें।

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फ्रांसीसी क्रांतिकारी प्रतीकों का उपयोग किस तरह की शिक्षा देने के लिए करते थे?

What kind of learning did French revolutionaries try to give through symbols?

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Correct Answer

A. राजनीतिक और राष्ट्रीय चेतनाPolitical and national awareness

Step 1

Concept

Symbols are not only decoration.

Step 2

Why this answer is correct

They gave messages about nation and rights to the people.

Step 3

Exam Tip

Connect symbols with political awareness. चरण 1: प्रतीक केवल सजावट नहीं होते। चरण 2: वे जनता को राष्ट्र और अधिकारों के बारे में संदेश देते थे। चरण 3: प्रतीकों को राजनीतिक चेतना से जोड़ें।

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रेखा द्वारा दूरी और महत्व में अंतर दिखाने का संयुक्त तरीका क्या है?

What is a combined way to show difference in distance and importance through line?

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Correct Answer

C. निकट और महत्वपूर्ण भाग में अधिक स्पष्ट रेखा रखनाKeeping clearer line in near and important areas

Step 1

Concept

Line clarity can express both depth and emphasis. Exam tip: connect line clarity with visual hierarchy.

Step 2

Why this answer is correct

The correct answer is C. निकट और महत्वपूर्ण भाग में अधिक स्पष्ट रेखा रखना / Keeping clearer line in near and important areas. Line clarity can express both depth and emphasis. Exam tip: connect line clarity with visual hierarchy.

Step 3

Exam Tip

रेखा स्पष्टता से गहराई और जोर दोनों व्यक्त हो सकते हैं। परीक्षा में रेखा स्पष्टता को दृश्य पदानुक्रम से जोड़ें।

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एक सड़क दृश्य में दूरी दिखाने के लिए किन रेखाओं का विश्लेषण सबसे जरूरी है?

Which lines are most important to analyse for showing distance in a street scene?

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Correct Answer

C. क्षितिज की ओर जाती अभिसरित रेखाएंConverging lines moving toward the horizon

Step 1

Concept

Converging lines are a main cue of depth in street scenes. Exam tip: remember horizon and vanishing point.

Step 2

Why this answer is correct

The correct answer is C. क्षितिज की ओर जाती अभिसरित रेखाएं / Converging lines moving toward the horizon. Converging lines are a main cue of depth in street scenes. Exam tip: remember horizon and vanishing point.

Step 3

Exam Tip

सड़क दृश्य में अभिसरित रेखाएं गहराई का मुख्य संकेत देती हैं। परीक्षा में क्षितिज और मिलन बिंदु याद रखें।

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कौन सा विकल्प रेखा द्वारा दृश्य दूरी दिखाने का सही उदाहरण है?

Which option is a correct example of showing visual distance through line?

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Correct Answer

A. पास मोटी रेखा दूर हल्की रेखाThick line near and light line far

Step 1

Concept

Near objects appear clear and far objects appear lighter. In exams vary line intensity for depth.

Step 2

Why this answer is correct

The correct answer is A. पास मोटी रेखा दूर हल्की रेखा / Thick line near and light line far. Near objects appear clear and far objects appear lighter. In exams vary line intensity for depth.

Step 3

Exam Tip

पास की वस्तु स्पष्ट और दूर की वस्तु हल्की दिखती है। परीक्षा में गहराई के लिए रेखा की तीव्रता बदलें।

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रेखाओं के बीच अधिक दूरी रखने से क्या प्रभाव आता है?

What effect comes from keeping more distance between lines?

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Correct Answer

A. हल्का टोनLighter tone

Step 1

Concept

When line spacing increases the area appears lighter. In exams connect tone with spacing of lines.

Step 2

Why this answer is correct

The correct answer is A. हल्का टोन / Lighter tone. When line spacing increases the area appears lighter. In exams connect tone with spacing of lines.

Step 3

Exam Tip

रेखाओं की दूरी बढ़ने पर क्षेत्र हल्का दिखता है। परीक्षा में टोन को रेखाओं की दूरी से जोड़ें।

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समान दूरी पर चलने वाली रेखाओं को क्या कहा जाता है?

What are lines running at equal distance called?

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Correct Answer

A. समांतर रेखाएंParallel lines

Step 1

Concept

Parallel lines maintain equal distance from each other. In exams identify them in patterns and architectural drawings.

Step 2

Why this answer is correct

The correct answer is A. समांतर रेखाएं / Parallel lines. Parallel lines maintain equal distance from each other. In exams identify them in patterns and architectural drawings.

Step 3

Exam Tip

समांतर रेखाएं एक दूसरे से समान दूरी बनाए रखती हैं। परीक्षा में पैटर्न और वास्तु चित्रों में इन्हें पहचानें।

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रेखाओं के बीच अधिक दूरी होने से मान कैसा लगेगा?

How will value look if distance between lines is greater?

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Correct Answer

A. हल्काLighter

Step 1

Concept

More spacing makes line shading lighter. Exam tip: connect line spacing and value.

Step 2

Why this answer is correct

The correct answer is A. हल्का / Lighter. More spacing makes line shading lighter. Exam tip: connect line spacing and value.

Step 3

Exam Tip

दूरी बढ़ने से रेखा छायांकन हल्का लगता है। परीक्षा में line spacing और value जोड़ें।

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