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100 results found for "time distance" in Class 10.

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?

Explanation opens after your attempt
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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एक बस (1056) किमी दूरी तय करती है। उसकी गति (x) किमी प्रति घंटा और समय (x-85) घंटा है। समय क्या है?

A bus covers (1056) km. Its speed is (x) km per hour and time is (x-85) hours. What is the time?

Explanation opens after your attempt
Correct Answer

C. (11) घंटा(11) hours

Step 1

Concept

From (x(x-85)=1056), (x=96). The time is (x-85=11) hours.

Step 2

Why this answer is correct

The correct answer is C. (11) घंटा / (11) hours. From (x(x-85)=1056), (x=96). The time is (x-85=11) hours.

Step 3

Exam Tip

(x(x-85)=1056) से (x=96) है। समय (x-85=11) घंटा होगा।

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एक बस (990) किमी दूरी तय करती है। उसकी गति (x) किमी प्रति घंटा और समय (x-89) घंटा है। समय क्या है?

A bus covers (990) km. Its speed is (x) km per hour and time is (x-89) hours. What is the time?

Explanation opens after your attempt
Correct Answer

B. (10) घंटा(10) hours

Step 1

Concept

From (x(x-89)=990), (x=99). The time is (x-89=10) hours.

Step 2

Why this answer is correct

The correct answer is B. (10) घंटा / (10) hours. From (x(x-89)=990), (x=99). The time is (x-89=10) hours.

Step 3

Exam Tip

(x(x-89)=990) से (x=99) है। समय (x-89=10) घंटा होगा।

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एक बस (560) किमी दूरी तय करती है। उसकी गति (x) किमी प्रति घंटा और समय (x-63) घंटा है। समय क्या है?

A bus covers (560) km. Its speed is (x) km per hour and time is (x-63) hours. What is the time?

Explanation opens after your attempt
Correct Answer

B. (8) घंटा(8) hours

Step 1

Concept

From (x(x-63)=560), (x=70). The time is (x-63=7) hours, so the correct option is (7) hours.

Step 2

Why this answer is correct

The correct answer is B. (8) घंटा / (8) hours. From (x(x-63)=560), (x=70). The time is (x-63=7) hours, so the correct option is (7) hours.

Step 3

Exam Tip

(x(x-63)=560) से (x=70) है। समय (x-63=7) घंटा नहीं बल्कि (70-63=7) घंटा है, इसलिए सही विकल्प (7) घंटा है।

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एक बस (360) किमी दूरी तय करती है। उसकी गति (x) किमी प्रति घंटा और समय (x-54) घंटा है। समय क्या है?

A bus covers (360) km. Its speed is (x) km per hour and time is (x-54) hours. What is the time?

Explanation opens after your attempt
Correct Answer

B. (6) घंटा(6) hours

Step 1

Concept

From (x(x-54)=360), (x=60). The time is (x-54=6) hours.

Step 2

Why this answer is correct

The correct answer is B. (6) घंटा / (6) hours. From (x(x-54)=360), (x=60). The time is (x-54=6) hours.

Step 3

Exam Tip

(x(x-54)=360) से (x=60) है। समय (x-54=6) घंटा होगा।

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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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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 वाहन समान समयांतरालों में (18,30,42,54) किलोमीटर चलता है। दूरी अनुक्रम का सामान्य अंतर क्या है?

A vehicle covers (18,30,42,54) kilometres in equal time intervals. What is the common difference of the distance sequence?

Explanation opens after your attempt
Correct Answer

B. (12) किलोमीटर(12) kilometres

Step 1

Concept

The distance increases by (12) kilometres each time. In word problems, still find the same consecutive difference.

Step 2

Why this answer is correct

The correct answer is B. (12) किलोमीटर / (12) kilometres. The distance increases by (12) kilometres each time. In word problems, still find the same consecutive difference.

Step 3

Exam Tip

हर बार दूरी (12) किलोमीटर बढ़ती है। परीक्षा में वास्तविक जीवन प्रश्न में भी वही लगातार अंतर निकालें।

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एक बस (180,किमी) की दूरी तय करती है। गति (15,किमी/घंटा) कम करने पर समय (1,घंटा) बढ़ जाता है। मूल गति क्या थी?

A bus covers (180,km). If its speed is reduced by (15,km/h), the time increases by (1,hour). What was the original speed?

Explanation opens after your attempt
Correct Answer

D. \((60,\text{किमी\)घंटा}) / (60,km / h)

Step 1

Concept

If the speed is (x), then \(\frac{180}{x-15}-\frac{180}{x}=1\). Solving gives (x=60).

Step 2

Why this answer is correct

The correct answer is D. (60,किमी / घंटा) / (60,km / h\(). If the speed is (x), then (\frac{180}{x-15}-\frac{180}{x}=1). Solving gives (x=60).\)

Step 3

Exam Tip

यदि गति (x) है तो \(\frac{180}{x-15}-\frac{180}{x}=1\)। हल से (x=60) है।

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एक वाहन (150,किमी) की दूरी तय करता है। गति (5,किमी/घंटा) बढ़ाने पर समय (1,घंटा) कम हो जाता है। मूल गति क्या थी?

A vehicle covers (150,km). When its speed is increased by (5,km/h), the time decreases by (1,hour). What was the original speed?

Explanation opens after your attempt
Correct Answer

B. \((25,\text{किमी\)घंटा}) / (25,km / h)

Step 1

Concept

If the speed is (x), then \(\frac{150}{x}-\frac{150}{x+5}=1\). Solving gives (x=25).

Step 2

Why this answer is correct

The correct answer is B. (25,किमी / घंटा) / (25,km / h\(). If the speed is (x), then (\frac{150}{x}-\frac{150}{x+5}=1). Solving gives (x=25).\)

Step 3

Exam Tip

यदि गति (x) है तो \(\frac{150}{x}-\frac{150}{x+5}=1\)। हल करने पर (x=25) मिलता है।

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एक कार (240,किमी) की दूरी तय करती है। गति (20,किमी/घंटा) बढ़ाने पर समय (1,घंटा) कम हो जाता है। मूल गति क्या थी?

A car covers (240,km). If the speed is increased by (20,km/h), the time decreases by (1,hour). What was the original speed?

Explanation opens after your attempt
Correct Answer

C. \((60,\text{किमी\)घंटा}) / (60,km / h)

Step 1

Concept

If the speed is (x), then \(\frac{240}{x}-\frac{240}{x+20}=1\). Solving gives (x=60).

Step 2

Why this answer is correct

The correct answer is C. (60,किमी / घंटा) / (60,km / h\(). If the speed is (x), then (\frac{240}{x}-\frac{240}{x+20}=1). Solving gives (x=60).\)

Step 3

Exam Tip

यदि गति (x) है तो \(\frac{240}{x}-\frac{240}{x+20}=1\)। हल करने पर (x=60) मिलता है।

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एक व्यक्ति (150 km) कार से जाता है। वापसी में चाल (25 km/h) कम होने से (1 h) अधिक लगता है। जाते समय की चाल क्या थी?

A person travels (150 km) by car. On return, the speed is (25 km/h) less and the time is (1 h) more. What was the onward speed?

Explanation opens after your attempt
Correct Answer

C. \((75\text{ km\)h})

Step 1

Concept

Let the onward speed be (x), then \(\frac{150}{x-25}-\frac{150}{x}=1\). This gives \(x^2-25x-3750=0\), so (x=75).

Step 2

Why this answer is correct

The correct answer is C. (75 km / h\(). Let the onward speed be (x), then (\frac{150}{x-25}-\frac{150}{x}=1). This gives (x^2-25x-3750=0), so (x=75).\)

Step 3

Exam Tip

जाते समय चाल (x) हो, तो \(\frac{150}{x-25}-\frac{150}{x}=1\)। इससे \(x^2-25x-3750=0\), इसलिए (x=75)।

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एक कार (800) किमी दूरी तय करती है। यदि उसकी गति (x) किमी प्रति घंटा है और समय (x-92) घंटा है, तो गति क्या है?

A car covers (800) km. If its speed is (x) km per hour and time is (x-92) hours, what is the speed?

Explanation opens after your attempt
Correct Answer

B. (100) किमी प्रति घंटा(100) km per hour

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x-92)=800). The positive solution is (x=100).

Step 2

Why this answer is correct

The correct answer is B. (100) किमी प्रति घंटा / (100) km per hour. Distance (=) speed \(\times\) time gives (x(x-92)=800). The positive solution is (x=100).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x-92)=800) बनता है। धनात्मक हल (x=100) है।

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एक कार (720) किमी दूरी तय करती है। यदि उसकी गति (x) किमी प्रति घंटा है और समय (x-72) घंटा है, तो गति क्या है?

A car covers (720) km. If its speed is (x) km per hour and time is (x-72) hours, what is the speed?

Explanation opens after your attempt
Correct Answer

B. (80) किमी प्रति घंटा(80) km per hour

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x-72)=720). The positive solution is (x=80).

Step 2

Why this answer is correct

The correct answer is B. (80) किमी प्रति घंटा / (80) km per hour. Distance (=) speed \(\times\) time gives (x(x-72)=720). The positive solution is (x=80).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x-72)=720) बनता है। धनात्मक हल (x=80) है।

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एक कार (450) किमी दूरी तय करती है। यदि उसकी गति (x) किमी प्रति घंटा है और समय (x-65) घंटा है, तो गति क्या है?

A car covers (450) km. If its speed is (x) km per hour and time is (x-65) hours, what is the speed?

Explanation opens after your attempt
Correct Answer

C. (75) किमी प्रति घंटा(75) km per hour

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x-65)=450). The positive solution is (x=75).

Step 2

Why this answer is correct

The correct answer is C. (75) किमी प्रति घंटा / (75) km per hour. Distance (=) speed \(\times\) time gives (x(x-65)=450). The positive solution is (x=75).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x-65)=450) बनता है। धनात्मक हल (x=75) है।

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एक कार (240) किमी दूरी तय करती है। यदि उसकी गति (x) किमी प्रति घंटा है और समय (x-46) घंटा है, तो गति क्या है?

A car covers (240) km. If its speed is (x) km per hour and time is (x-46) hours, what is the speed?

Explanation opens after your attempt
Correct Answer

B. (50) किमी प्रति घंटा(50) km per hour

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x-46)=240). The positive solution is (x=50).

Step 2

Why this answer is correct

The correct answer is B. (50) किमी प्रति घंटा / (50) km per hour. Distance (=) speed \(\times\) time gives (x(x-46)=240). The positive solution is (x=50).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x-46)=240) बनता है। धनात्मक हल (x=50) है।

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रेखा द्वारा दूरी दिखाने में अस्पष्टता कब सहायक होती है?

When is softness useful for showing distance through line?

Explanation opens after your attempt
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?

Explanation opens after your attempt
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?

Explanation opens after your attempt
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?

Explanation opens after your attempt
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?

Explanation opens after your attempt
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?

Explanation opens after your attempt
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 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?

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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?

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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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रेखा और समय का संबंध हावभाव रेखांकन में कैसे दिखता है?

How is relation between line and time seen in gesture drawing?

Explanation opens after your attempt
Correct Answer

B. कम समय में मुख्य गति पकड़ने वाली रेखा सेThrough lines that capture main movement in short time

Step 1

Concept

In gesture drawing, quick line captures the essence of action. Exam tip: treat it as movement study.

Step 2

Why this answer is correct

The correct answer is B. कम समय में मुख्य गति पकड़ने वाली रेखा से / Through lines that capture main movement in short time. In gesture drawing, quick line captures the essence of action. Exam tip: treat it as movement study.

Step 3

Exam Tip

हावभाव रेखांकन में त्वरित रेखा क्रिया का सार पकड़ती है। परीक्षा में इसे गति अध्ययन मानें।

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एक खेल अभ्यास में पहले दिन (15) मिनट दौड़ लगाई गई और हर अगले दिन (5) मिनट अधिक दौड़ लगाई गई। (7)वें दिन दौड़ का समय कितना होगा?

In sports practice, running time is (15) minutes on the first day and increases by (5) minutes each next day. What is the running time on the (7)th day?

Explanation opens after your attempt
Correct Answer

B. (45) मिनट

Step 1

Concept

This is the AP \(15,20,25,\ldots\). (a_7=15+6(5)=45).

Step 2

Why this answer is correct

The correct answer is B. (45) मिनट. This is the AP \(15,20,25,\ldots\). (a_7=15+6(5)=45).

Step 3

Exam Tip

यह \(15,20,25,\ldots\) समान्तर श्रेणी है। (a_7=15+6(5)=45)।

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एक व्यक्ति (x) घंटे में (x+20) किमी प्रति घंटा की गति से (1125) किमी चलता है। समय (x) क्या है?

A person travels (1125) km in (x) hours at a speed of (x+20) km per hour. What is the time (x)?

Explanation opens after your attempt
Correct Answer

B. (25) घंटा(25) hours

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x+20)=1125). This gives (x=25).

Step 2

Why this answer is correct

The correct answer is B. (25) घंटा / (25) hours. Distance (=) speed \(\times\) time gives (x(x+20)=1125). This gives (x=25).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x+20)=1125) बनता है। इससे (x=25) है।

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एक व्यक्ति (x) घंटे में (x+18) किमी प्रति घंटा की गति से (1008) किमी चलता है। समय (x) क्या है?

A person travels (1008) km in (x) hours at a speed of (x+18) km per hour. What is the time (x)?

Explanation opens after your attempt
Correct Answer

B. (24) घंटा(24) hours

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x+18)=1008). This gives (x=24).

Step 2

Why this answer is correct

The correct answer is B. (24) घंटा / (24) hours. Distance (=) speed \(\times\) time gives (x(x+18)=1008). This gives (x=24).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x+18)=1008) बनता है। इससे (x=24) है।

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एक व्यक्ति (x) घंटे में (x+12) किमी प्रति घंटा की गति से (640) किमी चलता है। समय (x) क्या है?

A person travels (640) km in (x) hours at a speed of (x+12) km per hour. What is the time (x)?

Explanation opens after your attempt
Correct Answer

A. (20) घंटा(20) hours

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x+12)=640). This gives (x=20).

Step 2

Why this answer is correct

The correct answer is A. (20) घंटा / (20) hours. Distance (=) speed \(\times\) time gives (x(x+12)=640). This gives (x=20).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x+12)=640) बनता है। इससे (x=20) है।

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एक ट्रेन (360) किलोमीटर दूरी तय करती है। गति (15) किलोमीटर प्रति घंटा बढ़ाने पर समय (2) घंटे कम हो जाता है। मूल गति क्या है?

A train covers (360) kilometres. If its speed is increased by (15) kilometres per hour, the time decreases by (2) hours. What is the original speed?

Explanation opens after your attempt
Correct Answer

A. (45)

Step 1

Concept

Let the original speed be (x), then \(\frac{360}{x}-\frac{360}{x+15}=2\). Solving gives (x=45).

Step 2

Why this answer is correct

The correct answer is A. (45). Let the original speed be (x), then \(\frac{360}{x}-\frac{360}{x+15}=2\). Solving gives (x=45).

Step 3

Exam Tip

मूल गति (x) हो, तो \(\frac{360}{x}-\frac{360}{x+15}=2\)। हल करने पर (x=45) मिलता है।

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एक व्यक्ति (x) घंटे में (x+5) किमी प्रति घंटा की गति से (84) किमी चलता है। समय (x) क्या है?

A person travels (84) km in (x) hours at a speed of (x+5) km per hour. What is the time (x)?

Explanation opens after your attempt
Correct Answer

B. (7) घंटा(7) hours

Step 1

Concept

Distance (=) speed \(\times\) time gives (x(x+5)=84). This gives (x=7).

Step 2

Why this answer is correct

The correct answer is B. (7) घंटा / (7) hours. Distance (=) speed \(\times\) time gives (x(x+5)=84). This gives (x=7).

Step 3

Exam Tip

दूरी (=) गति \(\times\) समय से (x(x+5)=84) बनता है। इससे (x=7) है।

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एक बस (180) किलोमीटर दूरी तय करती है। गति (15) किलोमीटर प्रति घंटा बढ़ाने पर समय (1) घंटा कम हो जाता है। मूल गति क्या है?

A bus covers (180) kilometres. If its speed is increased by (15) kilometres per hour, the time decreases by (1) hour. What is the original speed?

Explanation opens after your attempt
Correct Answer

A. (45)

Step 1

Concept

Let the original speed be (x), then \(\frac{180}{x}-\frac{180}{x+15}=1\). Solving gives (x=45).

Step 2

Why this answer is correct

The correct answer is A. (45). Let the original speed be (x), then \(\frac{180}{x}-\frac{180}{x+15}=1\). Solving gives (x=45).

Step 3

Exam Tip

मूल गति (x) हो, तो \(\frac{180}{x}-\frac{180}{x+15}=1\)। हल करने पर (x=45) मिलता है।

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एक ट्रेन (300) किलोमीटर दूरी तय करती है। गति (10) किलोमीटर प्रति घंटा बढ़ाने पर समय (1) घंटा कम हो जाता है। मूल गति क्या है?

A train covers (300) kilometres. If its speed is increased by (10) kilometres per hour, the time decreases by (1) hour. What is the original speed?

Explanation opens after your attempt
Correct Answer

A. (50)

Step 1

Concept

Let the original speed be (x), then \(\frac{300}{x}-\frac{300}{x+10}=1\). This gives (x=50).

Step 2

Why this answer is correct

The correct answer is A. (50). Let the original speed be (x), then \(\frac{300}{x}-\frac{300}{x+10}=1\). This gives (x=50).

Step 3

Exam Tip

मूल गति (x) हो, तो \(\frac{300}{x}-\frac{300}{x+10}=1\)। इससे (x=50) मिलता है।

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भौगोलिक अलगाव प्रजाति निर्माण में तभी अधिक प्रभावी क्यों होता है जब समय लंबा हो?

Why is geographical isolation more effective in speciation when the time period is long?

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Correct Answer

A. क्योंकि आनुवंशिक बदलावों को जमा होने में कई पीढ़ियां लगती हैंBecause genetic changes take many generations to accumulate

Step 1

Concept

Geographical isolation keeps groups apart.

Step 2

Why this answer is correct

Changes are small and accumulate over generations.

Step 3

Exam Tip

With more time differences can become larger. चरण 1: भौगोलिक अलगाव समूहों को अलग रखता है। चरण 2: बदलाव छोटे छोटे होते हैं और पीढ़ियों में जमा होते हैं। चरण 3: अधिक समय मिलने पर अंतर बड़ा हो सकता है।

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प्राकृतिक चयन और प्रजाति निर्माण में समय की लंबी अवधि क्यों आवश्यक होती है?

Why is a long period of time necessary in natural selection and speciation?

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Correct Answer

A. छोटे वंशागत बदलावों को आबादी में जमा होने के लिए समय चाहिएSmall inherited changes need time to accumulate in populations

Step 1

Concept

Change in one generation may be limited.

Step 2

Why this answer is correct

Changes accumulate over many generations.

Step 3

Exam Tip

Over long time they can lead to new species. चरण 1: एक पीढ़ी में बदलाव सीमित हो सकता है। चरण 2: कई पीढ़ियों में बदलाव जमा होते हैं। चरण 3: लंबे समय में यही बदलाव नई प्रजाति तक ले जा सकते हैं।

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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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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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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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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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