Search: area one fourth

Question Hard General Knowledge World History Important Historical Events Class 10 Level 74

चीन की मई चौथी आंदोलन का महत्व किससे जुड़ा था?

The importance of China's May Fourth Movement was linked with what?

Explanation opens after your attempt

Correct Answer

A. राष्ट्रवाद और सांस्कृतिक बौद्धिक जागरणNationalism and cultural intellectual awakening

Step 1

Concept

The May Fourth Movement increased nationalism and modern ideas among Chinese youth. For exams, connect it with China's intellectual change.

Step 2

Why this answer is correct

The correct answer is A. राष्ट्रवाद और सांस्कृतिक बौद्धिक जागरण / Nationalism and cultural intellectual awakening. The May Fourth Movement increased nationalism and modern ideas among Chinese youth. For exams, connect it with China's intellectual change.

Step 3

Exam Tip

मई चौथी आंदोलन ने चीनी युवाओं में राष्ट्रवाद और आधुनिक विचारों को बढ़ाया। परीक्षा में इसे चीन के बौद्धिक परिवर्तन से जोड़ें।

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Question Medium General Knowledge World History Revolutions of the World Class 10 Level 59

चीन की मई चौथी आंदोलन ने उन्नीस सौ ग्यारह की क्रांति के बाद किस प्रवृत्ति को मजबूत किया?

The May Fourth Movement in China strengthened which tendency after the 1911 Revolution?

Explanation opens after your attempt

Correct Answer

A. राष्ट्रवाद और नई सांस्कृतिक चेतनाNationalism and new cultural awareness

Step 1

Concept

The May Fourth Movement increased nationalist awareness among youth and intellectuals. For exams connect it with the background of modern Chinese politics.

Step 2

Why this answer is correct

The correct answer is A. राष्ट्रवाद और नई सांस्कृतिक चेतना / Nationalism and new cultural awareness. The May Fourth Movement increased nationalist awareness among youth and intellectuals. For exams connect it with the background of modern Chinese politics.

Step 3

Exam Tip

मई चौथी आंदोलन ने युवाओं और बुद्धिजीवियों में राष्ट्रवादी चेतना बढ़ाई। परीक्षा में इसे आधुनिक चीनी राजनीति की पृष्ठभूमि से जोड़ें।

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Question Easy General Knowledge Indian History Famous Indian Rulers Class 10 Level 32

चौथी बौद्ध संगीति किस शासक से जुड़ी मानी जाती है?

The Fourth Buddhist Council is associated with which ruler?

Explanation opens after your attempt

Correct Answer

B. कनिष्कKanishka

Step 1

Concept

The Fourth Buddhist Council is associated with Kanishka. Remember him for patronage of Buddhism.

Step 2

Why this answer is correct

The correct answer is B. कनिष्क / Kanishka. The Fourth Buddhist Council is associated with Kanishka. Remember him for patronage of Buddhism.

Step 3

Exam Tip

चौथी बौद्ध संगीति कनिष्क से जुड़ी मानी जाती है। उसे बौद्ध धर्म के संरक्षण के लिए याद करें।

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Question Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

यदि (a=17) और (d=0) है तो चौथा पद क्या होगा?

If (a=17) and (d=0), what will be the fourth term?

Explanation opens after your attempt

Correct Answer

B. (17)

Step 1

Concept

When (d=0), all terms remain (17). In a constant progression there is no increase or decrease.

Step 2

Why this answer is correct

The correct answer is B. (17). When (d=0), all terms remain (17). In a constant progression there is no increase or decrease.

Step 3

Exam Tip

(d=0) होने पर सभी पद (17) रहते हैं। स्थिर श्रेणी में कोई वृद्धि या कमी नहीं होती।

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Question Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (a=10) और (d=0) है तो चौथा पद क्या होगा?

If (a=10) and (d=0), what will be the fourth term?

Explanation opens after your attempt

Correct Answer

D. (10)

Step 1

Concept

When (d=0), all terms remain (10). In a constant progression there is no increase or decrease.

Step 2

Why this answer is correct

The correct answer is D. (10). When (d=0), all terms remain (10). In a constant progression there is no increase or decrease.

Step 3

Exam Tip

(d=0) होने पर सभी पद (10) रहते हैं। स्थिर श्रेणी में कोई वृद्धि या कमी नहीं होती।

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Question Expert General Knowledge Indian History Important Dates in Indian History Class 10 Level 42

चौहत्तरवां संविधान संशोधन किस वर्ष पारित हुआ था?

In which year was the Seventy-fourth Constitutional Amendment passed?

Explanation opens after your attempt

Correct Answer

C. 19921992

Step 1

Concept

The Seventy-fourth Amendment was passed in 1992. Link it with municipalities and urban local governance.

Step 2

Why this answer is correct

The correct answer is C. 1992 / 1992. The Seventy-fourth Amendment was passed in 1992. Link it with municipalities and urban local governance.

Step 3

Exam Tip

चौहत्तरवां संशोधन 1992 में पारित हुआ था। इसे नगर निकायों और शहरी स्थानीय शासन से जोड़ें।

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Question Easy General Knowledge Indian History Important Dates in Indian History Class 10 Level 44

चतुर्थ आंग्ल मैसूर युद्ध किस वर्ष हुआ था?

In which year was the Fourth Anglo-Mysore War fought?

Explanation opens after your attempt

Correct Answer

A. 1799 ईस्वी1799 CE

Step 1

Concept

The Fourth Anglo-Mysore War was fought in 1799 CE. Tipu Sultan died in this war.

Step 2

Why this answer is correct

The correct answer is A. 1799 ईस्वी / 1799 CE. The Fourth Anglo-Mysore War was fought in 1799 CE. Tipu Sultan died in this war.

Step 3

Exam Tip

चतुर्थ आंग्ल मैसूर युद्ध 1799 ईस्वी में हुआ। इसी युद्ध में टीपू सुल्तान की मृत्यु हुई।

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Question Hard General Knowledge Indian History Famous Indian Rulers Class 10 Level 30

कनिष्क का चौथी बौद्ध सभा से संबंध उसके शासन की किस विशेषता को दिखाता है?

Kanishka's association with the Fourth Buddhist Council shows which feature of his rule?

Explanation opens after your attempt

Correct Answer

A. बौद्ध धर्म का संरक्षण और सांस्कृतिक प्रभावPatronage of Buddhism and cultural influence

Step 1

Concept

Kanishka was a Kushan ruler famous for patronage of Buddhism. Remember him with religious patronage.

Step 2

Why this answer is correct

The correct answer is A. बौद्ध धर्म का संरक्षण और सांस्कृतिक प्रभाव / Patronage of Buddhism and cultural influence. Kanishka was a Kushan ruler famous for patronage of Buddhism. Remember him with religious patronage.

Step 3

Exam Tip

कनिष्क कुषाण शासक था और बौद्ध धर्म के संरक्षण के लिए प्रसिद्ध था। उसे धार्मिक संरक्षण से याद करें।

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Question Expert General Knowledge Indian History Modern Indian History Class 10 Level 17

चौथे आंग्ल मैसूर युद्ध के बाद दक्षिण भारत में अंग्रेजी शक्ति पर क्या प्रभाव पड़ा?

What was the effect of the Fourth Anglo-Mysore War on British power in South India?

Explanation opens after your attempt

Correct Answer

C. अंग्रेजों के प्रमुख विरोधी मैसूर की शक्ति टूट गईThe power of Mysore, a major British opponent, was broken

Step 1

Concept

Tipu's death in 1799 ended Mysore's challenge. Exam tip: connect Mysore wars with British expansion.

Step 2

Why this answer is correct

The correct answer is C. अंग्रेजों के प्रमुख विरोधी मैसूर की शक्ति टूट गई / The power of Mysore, a major British opponent, was broken. Tipu's death in 1799 ended Mysore's challenge. Exam tip: connect Mysore wars with British expansion.

Step 3

Exam Tip

1799 में टीपू की मृत्यु से मैसूर की चुनौती समाप्त हो गई। परीक्षा में मैसूर युद्धों को ब्रिटिश विस्तार से जोड़ें।

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Question Hard General Knowledge Indian History Modern Indian History Class 10 Level 17

चौथे आंग्ल मैसूर युद्ध का सबसे बड़ा राजनीतिक परिणाम क्या था?

What was the biggest political result of the Fourth Anglo-Mysore War?

Explanation opens after your attempt

Correct Answer

C. टीपू सुल्तान की मृत्यु और मैसूर की शक्ति का पतनDeath of Tipu Sultan and decline of Mysore power

Step 1

Concept

Tipu Sultan's death in 1799 weakened Mysore's anti-British power. Exam tip: remember the sequence of Mysore Wars.

Step 2

Why this answer is correct

The correct answer is C. टीपू सुल्तान की मृत्यु और मैसूर की शक्ति का पतन / Death of Tipu Sultan and decline of Mysore power. Tipu Sultan's death in 1799 weakened Mysore's anti-British power. Exam tip: remember the sequence of Mysore Wars.

Step 3

Exam Tip

1799 में टीपू सुल्तान की मृत्यु से मैसूर की अंग्रेज विरोधी शक्ति कमजोर हुई। परीक्षा में मैसूर युद्धों का क्रम याद रखें।

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Question Hard General Knowledge Indian History Modern Indian History Class 10 Level 16

चौथे मैसूर युद्ध 1799 का प्रमुख परिणाम क्या था?

What was the main result of the Fourth Mysore War in 1799?

Explanation opens after your attempt

Correct Answer

A. टीपू सुल्तान की मृत्यु और मैसूर शक्ति का पतनDeath of Tipu Sultan and decline of Mysore power

Step 1

Concept

Tipu Sultan died at Seringapatam in 1799. Exam tip is to link the end of Mysore Wars with British dominance.

Step 2

Why this answer is correct

The correct answer is A. टीपू सुल्तान की मृत्यु और मैसूर शक्ति का पतन / Death of Tipu Sultan and decline of Mysore power. Tipu Sultan died at Seringapatam in 1799. Exam tip is to link the end of Mysore Wars with British dominance.

Step 3

Exam Tip

1799 में श्रीरंगपट्टनम में टीपू सुल्तान मारे गए। परीक्षा में मैसूर युद्धों का अंत अंग्रेजी प्रभुत्व से जोड़ें।

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Question Expert General Knowledge Indian History Ancient Indian History Class 10 Level 5

कनिष्क की तथाकथित चौथी बौद्ध संगीति को किस बौद्ध परंपरा से अधिक जोड़ा जाता है?

Kanishka's so called Fourth Buddhist Council is more associated with which Buddhist tradition?

Explanation opens after your attempt

Correct Answer

A. सर्वास्तिवाद महायान संदर्भSarvastivada Mahayana context

Step 1

Concept

Kanishka's council is linked with Kashmir and Buddhist scholastic tradition. For exams, remember variations in council traditions.

Step 2

Why this answer is correct

The correct answer is A. सर्वास्तिवाद महायान संदर्भ / Sarvastivada Mahayana context. Kanishka's council is linked with Kashmir and Buddhist scholastic tradition. For exams, remember variations in council traditions.

Step 3

Exam Tip

कनिष्क की परिषद कश्मीर और बौद्ध शास्त्रीय परंपरा से जोड़ी जाती है। परीक्षा में परिषदों के विवरणों में परंपरागत भिन्नता याद रखें।

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Question Hard General Knowledge Indian History Ancient Indian History Class 10 Level 2

कनिष्क की चतुर्थ बौद्ध संगीति से किस बौद्ध शाखा के विकास को बल मिला माना जाता है?

Kanishka's Fourth Buddhist Council is considered to have strengthened the development of which Buddhist branch?

Explanation opens after your attempt

Correct Answer

A. महायानMahayana

Step 1

Concept

Kanishka's patronage is considered to have strengthened Mahayana Buddhism. For exams, remember the Kushana and Mahayana link.

Step 2

Why this answer is correct

The correct answer is A. महायान / Mahayana. Kanishka's patronage is considered to have strengthened Mahayana Buddhism. For exams, remember the Kushana and Mahayana link.

Step 3

Exam Tip

कनिष्क के संरक्षण से महायान बौद्ध धर्म के विकास को बल मिला माना जाता है। परीक्षा में कुषाण और महायान संबंध याद रखें।

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Question Medium General Knowledge Indian History Ancient Indian History Class 10 Level 2

चौथी बौद्ध संगीति परंपरागत रूप से किस शासक के संरक्षण में हुई मानी जाती है?

The Fourth Buddhist Council is traditionally believed to have been held under the patronage of which ruler?

Explanation opens after your attempt

Correct Answer

C. कनिष्कKanishka

Step 1

Concept

The Fourth Buddhist Council is associated with Kanishka's patronage. For exams, connect it with the Kushana period and the development of Buddhism.

Step 2

Why this answer is correct

The correct answer is C. कनिष्क / Kanishka. The Fourth Buddhist Council is associated with Kanishka's patronage. For exams, connect it with the Kushana period and the development of Buddhism.

Step 3

Exam Tip

चौथी बौद्ध संगीति को कनिष्क के संरक्षण से जोड़ा जाता है। परीक्षा में इसे कुषाण काल और बौद्ध धर्म के विकास से जोड़ें।

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Question Easy General Knowledge Indian History Ancient Indian History Class 10 Level 4

महावीर स्वामी किस धर्म के चौबीसवें तीर्थंकर थे?

Mahavira was the twenty-fourth Tirthankara of which religion?

Explanation opens after your attempt

Correct Answer

A. जैन धर्मJainism

Step 1

Concept

Mahavira was the twenty-fourth Tirthankara of Jainism. In exams, connect the term Tirthankara with Jainism.

Step 2

Why this answer is correct

The correct answer is A. जैन धर्म / Jainism. Mahavira was the twenty-fourth Tirthankara of Jainism. In exams, connect the term Tirthankara with Jainism.

Step 3

Exam Tip

महावीर स्वामी जैन धर्म के चौबीसवें तीर्थंकर थे। परीक्षा में तीर्थंकर शब्द जैन धर्म से जोड़ें।

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Question Easy General Knowledge Indian History Ancient Indian History Class 10 Level 2

चौथी बौद्ध संगीति सामान्यतः किस कुषाण शासक से जोड़ी जाती है?

The Fourth Buddhist Council is generally associated with which Kushan ruler?

Explanation opens after your attempt

Correct Answer

A. कनिष्कKanishka

Step 1

Concept

The Fourth Buddhist Council is considered associated with Kanishka. For exams, remember Kanishka with the Mahayana form of Buddhism.

Step 2

Why this answer is correct

The correct answer is A. कनिष्क / Kanishka. The Fourth Buddhist Council is considered associated with Kanishka. For exams, remember Kanishka with the Mahayana form of Buddhism.

Step 3

Exam Tip

चौथी बौद्ध संगीति कनिष्क से जुड़ी मानी जाती है। परीक्षा में कनिष्क और बौद्ध धर्म के महायान रूप को साथ याद करें।

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Question Hard Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (4,4+d,4+2d,4+3d) में चौथा पद (31) है तो दूसरा पद क्या है?

If the fourth term of (4,4+d,4+2d,4+3d) is (31), what is the second term?

Explanation opens after your attempt

Correct Answer

B. (13)

Step 1

Concept

From (4+3d=31), (d=9), so the second term is (4+d=13). First find (d) and then form the required term.

Step 2

Why this answer is correct

The correct answer is B. (13). From (4+3d=31), (d=9), so the second term is (4+d=13). First find (d) and then form the required term.

Step 3

Exam Tip

(4+3d=31) से (d=9), इसलिए दूसरा पद (4+d=13)। पहले (d) निकालकर मांगा गया पद बनाएं।

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Question Expert Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (6, 6+d, 6+2d, 6+3d) में दूसरा पद (11) और चौथा पद (21) है, तो (d) क्या है?

If the second term is (11) and the fourth term is (21) in (6, 6+d, 6+2d, 6+3d), what is (d)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

From (6+d=11), (d=5), and (6+3d=21) confirms it. When two conditions are given, verify the answer with both.

Step 2

Why this answer is correct

The correct answer is B. (5). From (6+d=11), (d=5), and (6+3d=21) confirms it. When two conditions are given, verify the answer with both.

Step 3

Exam Tip

(6+d=11) से (d=5), और (6+3d=21) इसकी पुष्टि करता है। दो शर्तें हों तो दोनों से उत्तर जांचें।

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Question Expert Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

यदि (7, 7+d, 7+2d, 7+3d) में चौथा पद (34) है, तो दूसरा पद क्या है?

If the fourth term of (7, 7+d, 7+2d, 7+3d) is (34), what is the second term?

Explanation opens after your attempt

Correct Answer

D. (16)

Step 1

Concept

From (7+3d=34), (d=9), so the second term is (7+d=16). First find (d) and then form the required term.

Step 2

Why this answer is correct

The correct answer is D. (16). From (7+3d=34), (d=9), so the second term is (7+d=16). First find (d) and then form the required term.

Step 3

Exam Tip

(7+3d=34) से (d=9), इसलिए दूसरा पद (7+d=16) है। पहले (d) निकालकर मांगा गया पद बनाएं।

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Question Hard Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

यदि (3, 3+d, 3+2d, 3+3d) में चौथा पद (24) है, तो दूसरा पद क्या है?

If the fourth term of (3, 3+d, 3+2d, 3+3d) is (24), what is the second term?

Explanation opens after your attempt

Correct Answer

C. (10)

Step 1

Concept

From (3+3d=24), (d=7), so the second term is (3+d=10). First find (d) and then form the required term.

Step 2

Why this answer is correct

The correct answer is C. (10). From (3+3d=24), (d=7), so the second term is (3+d=10). First find (d) and then form the required term.

Step 3

Exam Tip

(3+3d=24) से (d=7), इसलिए दूसरा पद (3+d=10)। पहले (d) निकालकर संबंधित पद बनाएं।

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Question Hard Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

एक अंकगणितीय श्रेणी में चौथे और पहले पद का अंतर (-15) है। सार्व अंतर क्या है?

In an arithmetic progression, the difference between the fourth and first terms is (-15). What is the common difference?

Explanation opens after your attempt

Correct Answer

B. (-5)

Step 1

Concept

There are (3) gaps between the fourth and first terms, so (3d=-15) and (d=-5). Keep (d) negative for a decreasing progression.

Step 2

Why this answer is correct

The correct answer is B. (-5). There are (3) gaps between the fourth and first terms, so (3d=-15) and (d=-5). Keep (d) negative for a decreasing progression.

Step 3

Exam Tip

चौथे और पहले पद के बीच (3) अंतर हैं, इसलिए (3d=-15) और (d=-5)। घटती श्रेणी में (d) ऋणात्मक रखें।

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Question Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(75,69,63,57,\ldots\) में तीसरे और चौथे पद का अंतर क्या है?

What is the difference between the third and fourth terms of \(75,69,63,57,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (-6)

Step 1

Concept

The third term is (63) and the fourth is (57), so the difference is (57-63=-6). While finding difference subtract the previous term from the next term.

Step 2

Why this answer is correct

The correct answer is B. (-6). The third term is (63) and the fourth is (57), so the difference is (57-63=-6). While finding difference subtract the previous term from the next term.

Step 3

Exam Tip

तीसरा पद (63) और चौथा (57) है इसलिए अंतर (57-63=-6) है। अंतर निकालते समय अगला पद घटा पिछला पद करें।

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Question Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(\frac{5}{4},\frac{7}{4},\frac{9}{4},\frac{11}{4},\ldots\) में चौथा पद क्या है?

What is the fourth term in \(\frac{5}{4},\frac{7}{4},\frac{9}{4},\frac{11}{4},\ldots\)?

Explanation opens after your attempt

Correct Answer

D. \(\frac{11}{4}\)

Step 1

Concept

In the written order, the fourth term is \(\frac{11}{4}\). Include the first term while counting positions.

Step 2

Why this answer is correct

The correct answer is D. \(\frac{11}{4}\). In the written order, the fourth term is \(\frac{11}{4}\). Include the first term while counting positions.

Step 3

Exam Tip

लिखे क्रम में चौथा पद \(\frac{11}{4}\) है। पद संख्या गिनते समय पहला पद शामिल करें।

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Question Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम \(42,39,36,33,\ldots\) में तीसरा और चौथा पद का अंतर क्या है?

What is the difference between the third and fourth terms of \(42,39,36,33,\ldots\)?

Explanation opens after your attempt

Correct Answer

B. (-3)

Step 1

Concept

The third term is (36) and the fourth is (33), so (33-36=-3). While finding the difference subtract the previous term from the next term.

Step 2

Why this answer is correct

The correct answer is B. (-3). The third term is (36) and the fourth is (33), so (33-36=-3). While finding the difference subtract the previous term from the next term.

Step 3

Exam Tip

तीसरा पद (36) और चौथा (33) है इसलिए (33-36=-3)। अंतर निकालते समय बाद वाला पद घटा पहले वाला पद करें।

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Question Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम \(16,22,28,34,\ldots\) में चौथा पद क्या है?

What is the fourth term in \(16,22,28,34,\ldots\)?

Explanation opens after your attempt

Correct Answer

D. (34)

Step 1

Concept

In the written order, the fourth term is (34). In such questions, count directly instead of using a formula.

Step 2

Why this answer is correct

The correct answer is D. (34). In the written order, the fourth term is (34). In such questions, count directly instead of using a formula.

Step 3

Exam Tip

लिखे हुए क्रम में चौथा पद (34) है। ऐसे प्रश्न में सूत्र की जगह सीधी गिनती करें।

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Question Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(6,12,18,24,\ldots\) में चौथा पद क्या है?

What is the fourth term in the sequence \(6,12,18,24,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (24)

Step 1

Concept

The fourth term in the given terms is (24). Start counting from (6) as the first term.

Step 2

Why this answer is correct

The correct answer is C. (24). The fourth term in the given terms is (24). Start counting from (6) as the first term.

Step 3

Exam Tip

दिए गए पदों में चौथा पद (24) है। क्रम गिनते समय पहला पद (6) से शुरू करें।

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Question Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम \(14,18,22,26,\ldots\) में चौथा पद क्या है?

What is the fourth term in \(14,18,22,26,\ldots\)?

Explanation opens after your attempt

Correct Answer

C. (26)

Step 1

Concept

The fourth term is directly (26). While counting positions, start from the first term (14).

Step 2

Why this answer is correct

The correct answer is C. (26). The fourth term is directly (26). While counting positions, start from the first term (14).

Step 3

Exam Tip

चौथा पद सीधे (26) है। पद क्रम गिनते समय पहला पद (14) से शुरू करें।

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Question Medium Mathematics Polynomials Representing real numbers on the number line Class 10 Level 51

पिछले प्रश्न जैसी रेखा में (2) से चौथा बराबर बिंदु कौन सा होगा जब प्रत्येक भाग \(\frac{1}{2}\) हो?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

The fourth point is \(2+4\times\frac{1}{2}=4\). Add the total step length to the starting point.

Step 2

Why this answer is correct

The correct answer is C. (4). The fourth point is \(2+4\times\frac{1}{2}=4\). Add the total step length to the starting point.

Step 3

Exam Tip

चौथा बिंदु \(2+4\times\frac{1}{2}=4\) है। बराबर भागों में आरंभिक बिंदु में कुल कदम जोड़ें।

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Question Expert Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 3

किसी संख्या को 19 से भाग देने पर शेषफल 12 है। उसी संख्या के चौथे घात को 19 से भाग देने पर शेषफल क्या होगा?

A number leaves remainder 12 when divided by 19. What is the remainder when its fourth power is divided by 19?

Explanation opens after your attempt

Correct Answer

A. 11

Step 1

Concept

\(12^2=144\), and 144 leaves remainder 11 when divided by 19.

Step 2

Why this answer is correct

For \(12^4\), check \(11^2=121\).

Step 3

Exam Tip

\(121=19\times6+7\), so the remainder is 7. चरण 1: \(12^2=144\), और 144 को 19 से भाग देने पर शेषफल 11 है। चरण 2: \(12^4\) के लिए \(11^2=121\) देखें। चरण 3: \(121=19\times6+7\), इसलिए शेषफल 7 है।

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Question Expert Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 2

किसी संख्या को 17 से भाग देने पर शेषफल 10 है। उसी संख्या के चौथे घात को 17 से भाग देने पर शेषफल क्या होगा?

A number leaves remainder 10 when divided by 17. What is the remainder when its fourth power is divided by 17?

Explanation opens after your attempt

Correct Answer

C. 4

Step 1

Concept

\(10^2=100\), and 100 leaves remainder 15 when divided by 17.

Step 2

Why this answer is correct

For \(10^4\), check \(15^2=225\).

Step 3

Exam Tip

\(225=17\times13+4\), so the remainder is 4. चरण 1: \(10^2=100\), और 100 को 17 से भाग देने पर शेषफल 15 है। चरण 2: \(10^4\) के लिए \(15^2=225\) देखें। चरण 3: \(225=17\times13+4\), इसलिए शेषफल 4 है।

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Question Expert Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 1

किसी संख्या को 13 से भाग देने पर शेषफल 7 है। उसी संख्या के चौथे घात को 13 से भाग देने पर शेषफल क्या होगा?

A number leaves remainder 7 when divided by 13. What is the remainder when its fourth power is divided by 13?

Explanation opens after your attempt

Correct Answer

D. 9

Step 1

Concept

\(7^2=49\), and 49 leaves remainder 10 when divided by 13.

Step 2

Why this answer is correct

For \(7^4\), check \(10^2=100\).

Step 3

Exam Tip

\(100=13\times7+9\), so the remainder is 9. चरण 1: \(7^2=49\), और 49 को 13 से भाग देने पर शेषफल 10 है। चरण 2: \(7^4\) के लिए \(10^2=100\) देखें। चरण 3: \(100=13\times7+9\), इसलिए शेषफल 9 है।

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Question Hard Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 3

किसी संख्या को 9 से भाग देने पर शेषफल 7 है। उसी संख्या के चौथे घात को 9 से भाग देने पर शेषफल क्या होगा?

A number leaves remainder 7 when divided by 9. What is the remainder when its fourth power is divided by 9?

Explanation opens after your attempt

Correct Answer

B. 4

Step 1

Concept

\(7^2=49\), which leaves remainder 4 on division by 9.

Step 2

Why this answer is correct

For \(7^4\), use \(4^2=16\), and 16 leaves remainder 7 on division by 9.

Step 3

Exam Tip

In higher powers, reduce the remainder after each step. चरण 1: \(7^2=49\), और 49 को 9 से भाग देने पर शेषफल 4 है। चरण 2: \(7^4\) के लिए \(4^2=16\), और 16 का 9 से शेषफल 7 नहीं, बल्कि 7 है; इसलिए सही शेषफल 7 होगा। चरण 3: बड़ी घातों में हर चरण के बाद शेषफल घटाना जरूरी है।

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Question Hard Mathematics Real Numbers Euclid’s Division Lemma Class 10 Level 2

किसी संख्या को 7 से भाग देने पर शेषफल 4 है। उसी संख्या के चौथे घात को 7 से भाग देने पर शेषफल क्या होगा?

A number leaves remainder 4 when divided by 7. What is the remainder when its fourth power is divided by 7?

Explanation opens after your attempt

Correct Answer

D. 4

Step 1

Concept

For the fourth power, look at the remainder of \(4^4\).

Step 2

Why this answer is correct

\(4^2=16\), which leaves remainder 2 when divided by 7; then \(4^4\) leaves the same remainder as \(2^2=4\).

Step 3

Exam Tip

For higher powers, reduce remainders step by step. चरण 1: चौथे घात के लिए \(4^4\) का शेषफल देखें। चरण 2: \(4^2=16\), जिसका 7 से शेषफल 2 है; फिर \(4^4\) का शेषफल \(2^2=4\) होगा। चरण 3: बड़ी घातों में छोटे-छोटे चरणों में शेषफल निकालें।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 41

एक वर्गाकार पार्क का क्षेत्रफल (196) है। उसकी भुजा में (4) बढ़ाने पर नया क्षेत्रफल कितना होगा?

A square park has area (196). If its side is increased by (4), what will be the new area?

Explanation opens after your attempt

Correct Answer

A. (324)

Step 1

Concept

If the original side is (x), then \(x^2=196\), so (x=14). The new side is (18), and the new area is \(18^2=324\).

Step 2

Why this answer is correct

The correct answer is A. (324). If the original side is (x), then \(x^2=196\), so (x=14). The new side is (18), and the new area is \(18^2=324\).

Step 3

Exam Tip

मूल भुजा (x) हो तो \(x^2=196\), इसलिए (x=14)। नई भुजा (18) है और नया क्षेत्रफल \(18^2=324\)।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 40

एक वर्गाकार पार्क का क्षेत्रफल (144) है। उसकी भुजा में (3) बढ़ाने पर नया क्षेत्रफल कितना होगा?

A square park has area (144). If its side is increased by (3), what will be the new area?

Explanation opens after your attempt

Correct Answer

A. (225)

Step 1

Concept

If the original side is (x), then \(x^2=144\), so (x=12). The new side is (15), and the new area is \(15^2=225\).

Step 2

Why this answer is correct

The correct answer is A. (225). If the original side is (x), then \(x^2=144\), so (x=12). The new side is (15), and the new area is \(15^2=225\).

Step 3

Exam Tip

मूल भुजा (x) हो तो \(x^2=144\), इसलिए (x=12)। नई भुजा (15) है और नया क्षेत्रफल \(15^2=225\)।

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Question Medium General Knowledge World History United Nations History Class 10 Level 61

महासभा में एक देश एक मत का सिद्धांत किस विचार को दर्शाता है?

The one country one vote rule in the General Assembly reflects which idea?

Explanation opens after your attempt

Correct Answer

A. सदस्य देशों की औपचारिक समानताFormal equality of member states

Step 1

Concept

Each member has one vote in the General Assembly. Exam tip: connect it with the feature of a universal discussion forum.

Step 2

Why this answer is correct

The correct answer is A. सदस्य देशों की औपचारिक समानता / Formal equality of member states. Each member has one vote in the General Assembly. Exam tip: connect it with the feature of a universal discussion forum.

Step 3

Exam Tip

महासभा में हर सदस्य देश को एक मत मिलता है। परीक्षा में इसे सार्वभौमिक चर्चा मंच की विशेषता से जोड़ें।

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Question Expert Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक समकोण त्रिभुज का क्षेत्रफल (84) वर्ग सेमी है और एक लम्ब पक्ष दूसरे से (5) सेमी अधिक है। छोटे लम्ब पक्ष की लंबाई क्या है?

The area of a right triangle is (84) square cm and one perpendicular side is (5) cm more than the other. What is the shorter perpendicular side?

Explanation opens after your attempt

Correct Answer

C. (12) सेमी(12) cm

Step 1

Concept

Let the shorter side be (x). Then (\frac{1}{2}x(x+5)=84). This gives \(x^2+5x-168=0\), so (x=12).

Step 2

Why this answer is correct

The correct answer is C. (12) सेमी / (12) cm. Let the shorter side be (x). Then (\frac{1}{2}x(x+5)=84). This gives \(x^2+5x-168=0\), so (x=12).

Step 3

Exam Tip

छोटा पक्ष (x) हो तो (\frac{1}{2}x(x+5)=84)। इससे \(x^2+5x-168=0\) और (x=12) है।

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Question Expert Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 41

एक वर्ग का क्षेत्रफल \(225 cm^2\) है। यदि उसकी भुजा (x cm) बढ़ाकर नया क्षेत्रफल (400 cm\(^2) कर दिया जाए, तो (x) क्या है\)?

The area of a square is (225 cm\(^2). If its side is increased by (x\) cm) and the new area becomes (400 cm\(^2), what is (x)\)?

Explanation opens after your attempt

Correct Answer

C. (5 cm)

Step 1

Concept

The original side is \(\sqrt{225}=15\), and the new side is \(\sqrt{400}=20\). Hence (x=20-15=5).

Step 2

Why this answer is correct

The correct answer is C. (5 cm\(). The original side is (\sqrt{225}=15), and the new side is (\sqrt{400}=20). Hence (x=20-15=5).\)

Step 3

Exam Tip

मूल भुजा \(\sqrt{225}=15\) है और नई भुजा \(\sqrt{400}=20\) है। अतः (x=20-15=5)।

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Question Expert General Knowledge World History United Nations History Class 10 Level 61

संप्रभु समानता और एक देश एक मत के बीच कौन सा संबंध सही है?

Which relation between sovereign equality and one country one vote is correct?

Explanation opens after your attempt

Correct Answer

A. महासभा में समान मत सदस्य देशों की औपचारिक समानता को दिखाता हैEqual vote in the General Assembly reflects formal equality of member states

Step 1

Concept

One vote for each member in the General Assembly is an example of sovereign equality. Exam tip: compare it with power inequality in the Security Council.

Step 2

Why this answer is correct

The correct answer is A. महासभा में समान मत सदस्य देशों की औपचारिक समानता को दिखाता है / Equal vote in the General Assembly reflects formal equality of member states. One vote for each member in the General Assembly is an example of sovereign equality. Exam tip: compare it with power inequality in the Security Council.

Step 3

Exam Tip

महासभा में प्रत्येक सदस्य को एक मत मिलना संप्रभु समानता का उदाहरण है। परीक्षा में इसे सुरक्षा परिषद की शक्ति असमानता से तुलना करें।

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Question Hard General Knowledge World History United Nations History Class 10 Level 61

महासभा के एक देश एक वोट सिद्धांत की सीमा क्या है?

What is the limitation of the General Assembly principle of one country one vote?

Explanation opens after your attempt

Correct Answer

B. महासभा की कई सिफारिशें बाध्यकारी नहीं होतींMany General Assembly recommendations are not binding

Step 1

Concept

The General Assembly gives broad representation but its power is not like the Security Council. For exams write the difference between representation and power.

Step 2

Why this answer is correct

The correct answer is B. महासभा की कई सिफारिशें बाध्यकारी नहीं होतीं / Many General Assembly recommendations are not binding. The General Assembly gives broad representation but its power is not like the Security Council. For exams write the difference between representation and power.

Step 3

Exam Tip

महासभा व्यापक प्रतिनिधित्व देती है पर उसकी शक्ति सुरक्षा परिषद जैसी नहीं होती। परीक्षा में प्रतिनिधित्व और शक्ति का अंतर लिखें।

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Question Medium Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

एक कलम और एक पेंसिल की कुल कीमत (18) रुपये है। (2) कलम और (3) पेंसिल की कीमत (45) रुपये है। एक कलम की कीमत क्या है?

The total price of one pen and one pencil is (18) rupees. The price of (2) pens and (3) pencils is (45) rupees. What is the price of one pen?

Explanation opens after your attempt

Correct Answer

B. (9) रुपये(9) rupees

Step 1

Concept

Let pen be (x) and pencil be (y). From (x+y=18) and (2x+3y=45), (x=9).

Step 2

Why this answer is correct

The correct answer is B. (9) रुपये / (9) rupees. Let pen be (x) and pencil be (y). From (x+y=18) and (2x+3y=45), (x=9).

Step 3

Exam Tip

मान लें कलम (x) और पेंसिल (y) है। (x+y=18) और (2x+3y=45) से (x=9) मिलता है।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=2x^-2+mx+18) का एक शून्यक (3) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=2x^-2+mx+18) is (3), what is the other zero?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

The product is \(\frac{18}{2}=9\). Since one zero is (3), the other is (3).

Step 2

Why this answer is correct

The correct answer is A. (3). The product is \(\frac{18}{2}=9\). Since one zero is (3), the other is (3).

Step 3

Exam Tip

गुणनफल \(\frac{18}{2}=9\) है। एक शून्यक (3) है, इसलिए दूसरा (3) होगा।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=x^-2+3x-18) का एक शून्यक (3) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=x^-2+3x-18) is (3), what is the other zero?

Explanation opens after your attempt

Correct Answer

A. -(6)

Step 1

Concept

The product of zeroes is (-18). Since one zero is (3), the other is \(-18\div3=-6\).

Step 2

Why this answer is correct

The correct answer is A. -(6). The product of zeroes is (-18). Since one zero is (3), the other is \(-18\div3=-6\).

Step 3

Exam Tip

शून्यकों का गुणनफल (-18) है। एक शून्यक (3) है, इसलिए दूसरा \(-18\div3=-6\) है।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=x^-2-10x+r) का एक शून्यक (4) है, तो दूसरा शून्यक क्या है?

If one zero of (p(x)=x^-2-10x+r) is (4), what is the other zero?

Explanation opens after your attempt

Correct Answer

A. (6)

Step 1

Concept

The sum of zeroes is (10). Since one zero is (4), the other is (10-4=6).

Step 2

Why this answer is correct

The correct answer is A. (6). The sum of zeroes is (10). Since one zero is (4), the other is (10-4=6).

Step 3

Exam Tip

शून्यकों का योग (10) है। एक शून्यक (4) है, इसलिए दूसरा (10-4=6) है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

निम्न में से एक चर वाला बहुपद कौन सा नहीं है?

Which of the following is not a polynomial in one variable?

Explanation opens after your attempt

Correct Answer

C. \(x^2+y+1\)

Step 1

Concept

\(x^2+y+1\) has two variables (x) and (y). Therefore it is not a polynomial in one variable.

Step 2

Why this answer is correct

The correct answer is C. \(x^2+y+1\). \(x^2+y+1\) has two variables (x) and (y). Therefore it is not a polynomial in one variable.

Step 3

Exam Tip

\(x^2+y+1\) में दो चर (x) और (y) हैं। इसलिए यह एक चर वाला बहुपद नहीं है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

इनमें से कौन सा एक चर में बहुपद है?

Which of the following is a polynomial in one variable?

Explanation opens after your attempt

Correct Answer

A. (p(x)=3x^-2-5x+7)

Step 1

Concept

In a polynomial in one variable, powers of the variable are non-negative integers. In exams, reject negative powers and roots of the variable.

Step 2

Why this answer is correct

The correct answer is A. (p(x)=3x^-2-5x+7). In a polynomial in one variable, powers of the variable are non-negative integers. In exams, reject negative powers and roots of the variable.

Step 3

Exam Tip

एक चर के बहुपद में चर की घात केवल अशून्य पूर्णांक या शून्य होती है। परीक्षा में ऋणात्मक घात और मूल से बचें।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

कौन सा बहुपद एक चर (x) में है?

Which polynomial is in one variable (x)?

Explanation opens after your attempt

Correct Answer

A. \(x^2+2x+1\)

Step 1

Concept

A polynomial in one variable (x) contains only the variable (x). The other options have more than one variable.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+2x+1\). A polynomial in one variable (x) contains only the variable (x). The other options have more than one variable.

Step 3

Exam Tip

एक चर (x) में बहुपद में केवल (x) चर होता है। अन्य विकल्पों में एक से अधिक चर हैं।

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Question Expert Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक आयताकार पार्क का क्षेत्रफल (576) वर्ग मीटर अधिकतम है जब दो समान चौड़ाइयों और एक लंबाई के लिए कुल बाड़ (96) मीटर है। चौड़ाई क्या है?

A rectangular park has maximum area (576) square m when the total fencing for two equal breadths and one length is (96) m. What is the breadth?

Explanation opens after your attempt

Correct Answer

C. (24) मीटर(24) m

Step 1

Concept

For fencing on three sides, (l+2b=96). (A=b(96-2b)) is maximum when (b=24).

Step 2

Why this answer is correct

The correct answer is C. (24) मीटर / (24) m. For fencing on three sides, (l+2b=96). (A=b(96-2b)) is maximum when (b=24).

Step 3

Exam Tip

तीन ओर की बाड़ में (l+2b=96) है। (A=b(96-2b)) अधिकतम तब होता है जब (b=24)।

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Question Expert Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 41

एक वर्गाकार कागज से (3 cm) चौड़ी पट्टी एक ओर से काट दी जाती है। शेष आयत का क्षेत्रफल \(70 cm^2\) है। मूल वर्ग की भुजा क्या थी?

A (3 cm) wide strip is cut from one side of a square sheet. The remaining rectangle has area (70 cm\(^2). What was the side of the original square\)?

Explanation opens after your attempt

Correct Answer

B. (10 cm)

Step 1

Concept

Let the square side be (x), then the remaining area is (x(x-3)=70). This gives \(x^2-3x-70=0\), so (x=10).

Step 2

Why this answer is correct

The correct answer is B. (10 cm\(). Let the square side be (x), then the remaining area is (x(x-3)=70). This gives (x^2-3x-70=0), so (x=10).\)

Step 3

Exam Tip

वर्ग की भुजा (x) हो, तो शेष क्षेत्रफल (x(x-3)=70)। इससे \(x^2-3x-70=0\), इसलिए (x=10)।

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Question Medium Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

अनुक्रम \(5,12,19,26,\ldots\) में पहले दो पदों का अंतर और तीसरे-चौथे पदों का अंतर क्या है?

In \(5,12,19,26,\ldots\), what are the difference of the first two terms and the difference of the third and fourth terms?

Explanation opens after your attempt

Correct Answer

A. (7) और (7)(7) and (7)

Step 1

Concept

The first difference is (12-5=7), and the second is (26-19=7). Equal differences confirm an arithmetic progression.

Step 2

Why this answer is correct

The correct answer is A. (7) और (7) / (7) and (7). The first difference is (12-5=7), and the second is (26-19=7). Equal differences confirm an arithmetic progression.

Step 3

Exam Tip

पहला अंतर (12-5=7) और दूसरा (26-19=7) है। समान अंतर समांतर श्रेढ़ी की पुष्टि करता है।

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Question Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 62

एक पौधे की ऊंचाई हर दिन (2) सेमी बढ़ती है। ऊंचाइयां \(12,14,16,18,\ldots\) हैं तो चौथे दिन की ऊंचाई क्या है?

A plant grows (2) cm every day. The heights are \(12,14,16,18,\ldots\). What is the height on the fourth day?

Explanation opens after your attempt

Correct Answer

C. (18) सेमी(18) cm

Step 1

Concept

The fourth term in the list is (18). Count the day and term position together.

Step 2

Why this answer is correct

The correct answer is C. (18) सेमी / (18) cm. The fourth term in the list is (18). Count the day and term position together.

Step 3

Exam Tip

सूची में चौथा पद (18) है। दिन और पद संख्या को साथ मिलाकर गिनें।

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Question Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33

यदि \(x^2-5x+1=0\) की जड़ें \(\alpha,\beta\) हैं, तो \(\alpha^4+\beta^4\) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2-5x+1=0\), what is \(\alpha^4+\beta^4\)?

Explanation opens after your attempt

Correct Answer

A. (527)

Step 1

Concept

Here \(\alpha+\beta=5\) and \(\alpha\beta=1\). First \(\alpha^2+\beta^2=23\), then \(\alpha^4+\beta^4=23^2-2=527\).

Step 2

Why this answer is correct

The correct answer is A. (527). Here \(\alpha+\beta=5\) and \(\alpha\beta=1\). First \(\alpha^2+\beta^2=23\), then \(\alpha^4+\beta^4=23^2-2=527\).

Step 3

Exam Tip

\(\alpha+\beta=5\) और \(\alpha\beta=1\) है। पहले \(\alpha^2+\beta^2=23\), फिर \(\alpha^4+\beta^4=23^2-2=527\)।

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Question Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32

यदि \(x^2-3x+1=0\) की जड़ें \(\alpha,\beta\) हैं, तो \(\alpha^4+\beta^4\) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2-3x+1=0\), what is \(\alpha^4+\beta^4\)?

Explanation opens after your attempt

Correct Answer

C. (47)

Step 1

Concept

Here \(\alpha+\beta=3\) and \(\alpha\beta=1\). First \(\alpha^2+\beta^2=7\), then \(\alpha^4+\beta^4=7^2-2=47\).

Step 2

Why this answer is correct

The correct answer is C. (47). Here \(\alpha+\beta=3\) and \(\alpha\beta=1\). First \(\alpha^2+\beta^2=7\), then \(\alpha^4+\beta^4=7^2-2=47\).

Step 3

Exam Tip

\(\alpha+\beta=3\) और \(\alpha\beta=1\) है। पहले \(\alpha^2+\beta^2=7\), फिर \(\alpha^4+\beta^4=7^2-2=47\)।

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Question Expert Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

यदि \(x^2-4x+1=0\) की जड़ें \(\alpha,\beta\) हैं, तो \(\alpha^4+\beta^4\) का मान क्या है?

If \(\alpha,\beta\) are roots of \(x^2-4x+1=0\), what is \(\alpha^4+\beta^4\)?

Explanation opens after your attempt

Correct Answer

A. (194)

Step 1

Concept

Here \(\alpha+\beta=4\) and \(\alpha\beta=1\). First \(\alpha^2+\beta^2=14\), then \(\alpha^4+\beta^4=14^2-2=194\).

Step 2

Why this answer is correct

The correct answer is A. (194). Here \(\alpha+\beta=4\) and \(\alpha\beta=1\). First \(\alpha^2+\beta^2=14\), then \(\alpha^4+\beta^4=14^2-2=194\).

Step 3

Exam Tip

\(\alpha+\beta=4\) और \(\alpha\beta=1\) है। पहले \(\alpha^2+\beta^2=14\), फिर \(\alpha^4+\beta^4=14^2-2=194\)।

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Question Expert General Knowledge World History United Nations History Class 10 Level 62

महासभा का एक देश एक मत नियम किस गहरे सिद्धांत को व्यावहारिक रूप देता है?

The one country one vote rule of the General Assembly gives practical form to which deeper principle?

Explanation opens after your attempt

Correct Answer

B. सदस्य देशों की संप्रभु समानताSovereign equality of member states

Step 1

Concept

In the General Assembly small and large countries each get one vote. Exam tip: treat it as a simple example of sovereign equality.

Step 2

Why this answer is correct

The correct answer is B. सदस्य देशों की संप्रभु समानता / Sovereign equality of member states. In the General Assembly small and large countries each get one vote. Exam tip: treat it as a simple example of sovereign equality.

Step 3

Exam Tip

महासभा में छोटे और बड़े देशों को एक एक मत मिलता है। परीक्षा में इसे संप्रभु समानता की सरल मिसाल मानें।

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Question Medium General Knowledge World History United Nations History Class 10 Level 62

महासभा के एक देश एक मत नियम से क्या संदेश मिलता है?

What message is given by the one country one vote rule in the General Assembly?

Explanation opens after your attempt

Correct Answer

A. छोटे और बड़े देशों की औपचारिक समानताFormal equality of small and large countries

Step 1

Concept

Every member state has one vote in the General Assembly showing formal equality. Exam tip: connect it with sovereign equality.

Step 2

Why this answer is correct

The correct answer is A. छोटे और बड़े देशों की औपचारिक समानता / Formal equality of small and large countries. Every member state has one vote in the General Assembly showing formal equality. Exam tip: connect it with sovereign equality.

Step 3

Exam Tip

महासभा में हर सदस्य देश को एक मत मिलता है जिससे औपचारिक समानता दिखती है। परीक्षा में इसे संप्रभु समानता से जोड़ें।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

एक संख्या दूसरी संख्या से (8) अधिक है। दोनों संख्याओं के (3) गुने और (2) गुने का योग (94) है, तो छोटी संख्या क्या है?

One number is (8) more than another. The sum of three times one and twice the other is (94). What is the smaller number?

Explanation opens after your attempt

Correct Answer

B. (14)

Step 1

Concept

Let the smaller number be (y) and the larger be (x=y+8). Substitution in (3x+2y=94) gives (5y+24=94), so (y=14).

Step 2

Why this answer is correct

The correct answer is B. (14). Let the smaller number be (y) and the larger be (x=y+8). Substitution in (3x+2y=94) gives (5y+24=94), so (y=14).

Step 3

Exam Tip

छोटी संख्या (y) और बड़ी (x=y+8) मानें। (3x+2y=94) रखने पर (5y+24=94), इसलिए (y=14)।

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Question Expert Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

एक कलम की कीमत (p) और एक कॉपी की कीमत (q) है। यदि (3p+4q=260) और (5p+2q=300), तो (q) का मान क्या है?

The price of one pen is (p) and one notebook is (q). If (3p+4q=260) and (5p+2q=300), what is the value of (q)?

Explanation opens after your attempt

Correct Answer

C. \(q=\frac{200}{7}\)

Step 1

Concept

Elimination gives \(p=\frac{340}{7}\). Substituting it in either equation gives \(q=\frac{200}{7}\).

Step 2

Why this answer is correct

The correct answer is C. \(q=\frac{200}{7}\). Elimination gives \(p=\frac{340}{7}\). Substituting it in either equation gives \(q=\frac{200}{7}\).

Step 3

Exam Tip

विलोपन से \(p=\frac{340}{7}\) मिलता है। इसे किसी एक समीकरण में रखने पर \(q=\frac{200}{7}\)।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 57

एक कलम की कीमत (p) और एक पेंसिल की कीमत (q) है। यदि (4p+3q=177) और (2p+5q=151), तो (p) का मान क्या है?

The price of one pen is (p) and one pencil is (q). If (4p+3q=177) and (2p+5q=151), what is (p)?

Explanation opens after your attempt

Correct Answer

B. (36) रुपये(36) rupees

Step 1

Concept

Multiply the second equation by (2) and subtract the first. (q=23) and then (p=27), so none of the options is correct.

Step 2

Why this answer is correct

The correct answer is B. (36) रुपये / (36) rupees. Multiply the second equation by (2) and subtract the first. (q=23) and then (p=27), so none of the options is correct.

Step 3

Exam Tip

दूसरे समीकरण को (2) से गुणा कर पहले से घटाएं। (q=23) और फिर (p=27), इसलिए विकल्पों में कोई सही नहीं है।

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Question Hard Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

एक कलम की कीमत (p) और एक कॉपी की कीमत (q) है। यदि (3p+2q=185) और (2p+5q=215), तो (q) का मान क्या है?

The price of one pen is (p) and one notebook is (q). If (3p+2q=185) and (2p+5q=215), what is the value of (q)?

Explanation opens after your attempt

Correct Answer

C. (25) रुपये(25) rupees

Step 1

Concept

Elimination gives (p=45). Then (3(45)+2q=185), so (q=25).

Step 2

Why this answer is correct

The correct answer is C. (25) रुपये / (25) rupees. Elimination gives (p=45). Then (3(45)+2q=185), so (q=25).

Step 3

Exam Tip

विलोपन से (p=45) मिलता है। फिर (3(45)+2q=185), इसलिए (q=25)।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=x^-2-6x+s) का एक शून्यक दूसरे से (2) अधिक है, तो (s) का मान क्या है?

If one zero of (p(x)=x^-2-6x+s) is (2) more than the other, what is (s)?

Explanation opens after your attempt

Correct Answer

A. (8)

Step 1

Concept

Let the zeroes be (t) and (t+2), then (2t+2=6) gives (t=2). The product is \(2\cdot4=8\), so (s=8).

Step 2

Why this answer is correct

The correct answer is A. (8). Let the zeroes be (t) and (t+2), then (2t+2=6) gives (t=2). The product is \(2\cdot4=8\), so (s=8).

Step 3

Exam Tip

शून्यक (t) और (t+2) मानें, तो (2t+2=6) से (t=2)। गुणनफल \(2\cdot4=8\), इसलिए (s=8)।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि (p(x)=x^-2+kx+16) का एक शून्यक दूसरे का दुगुना है और दोनों धनात्मक हैं, तो (k) क्या होगा?

If one zero of (p(x)=x^-2+kx+16) is twice the other and both are positive, what is (k)?

Explanation opens after your attempt

Correct Answer

A. -\(6\sqrt{2}\)

Step 1

Concept

Let the zeroes be (t) and (2t), then \(2t^2=16\) gives \(t=2\sqrt{2}\). The sum is \(6\sqrt{2}\), so \(-k=6\sqrt{2}\) and \(k=-6\sqrt{2}\).

Step 2

Why this answer is correct

The correct answer is A. -\(6\sqrt{2}\). Let the zeroes be (t) and (2t), then \(2t^2=16\) gives \(t=2\sqrt{2}\). The sum is \(6\sqrt{2}\), so \(-k=6\sqrt{2}\) and \(k=-6\sqrt{2}\).

Step 3

Exam Tip

शून्यक (t) और (2t) मानें, तो \(2t^2=16\) से \(t=2\sqrt{2}\) है। योग \(6\sqrt{2}\) है, इसलिए \(-k=6\sqrt{2}\) और \(k=-6\sqrt{2}\)।

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Question Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि किसी द्विघात बहुपद के शून्यक (2) और (5) हैं, तो एक मोनिक बहुपद क्या होगा?

If the zeroes of a quadratic polynomial are (2) and (5), what is one monic polynomial?

Explanation opens after your attempt

Correct Answer

A. \(x^2-7x+10\)

Step 1

Concept

With zeroes (2) and (5), the polynomial is ((x-2)(x-5)=x^-2-7x+10). A monic polynomial has leading coefficient (1).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-7x+10\). With zeroes (2) and (5), the polynomial is ((x-2)(x-5)=x^-2-7x+10). A monic polynomial has leading coefficient (1).

Step 3

Exam Tip

शून्यक (2) और (5) होने पर बहुपद ((x-2)(x-5)=x^-2-7x+10) है। मोनिक बहुपद में \(x^2\) का गुणांक (1) होता है।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि \(x^2+mx+n\) का एक शून्यक (0) है और दूसरा शून्यक (5) है, तो (m+n) क्या होगा?

If one zero of \(x^2+mx+n\) is (0) and the other zero is (5), what is (m+n)?

Explanation opens after your attempt

Correct Answer

A. (-5)

Step 1

Concept

The sum is (5), so (m=-5), and the product is (0), so (n=0). Hence (m+n=-5).

Step 2

Why this answer is correct

The correct answer is A. (-5). The sum is (5), so (m=-5), and the product is (0), so (n=0). Hence (m+n=-5).

Step 3

Exam Tip

योग (5) है इसलिए (m=-5), और गुणनफल (0) है इसलिए (n=0)। अतः (m+n=-5)।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 46

किस (k) के लिए \(x^2+kx+9\) का एक शून्यक दूसरे का तीन गुना है और दोनों धनात्मक हैं?

For which (k) does \(x^2+kx+9\) have one zero three times the other and both positive?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

Let the zeroes be (t) and (3t), so \(3t^2=9\) gives \(t=\sqrt{3}\). The sum is \(4\sqrt{3}\), hence \(k=-4\sqrt{3}\).

Step 2

Why this answer is correct

The correct answer is A. \(-4\sqrt{3}\). Let the zeroes be (t) and (3t), so \(3t^2=9\) gives \(t=\sqrt{3}\). The sum is \(4\sqrt{3}\), hence \(k=-4\sqrt{3}\).

Step 3

Exam Tip

शून्यक (t) और (3t) मानें, तो \(3t^2=9\) से \(t=\sqrt{3}\) है। योग \(4\sqrt{3}\) है इसलिए \(k=-4\sqrt{3}\)।

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Question Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 46

\(x^4-1\) के रैखिक गुणनखंडों में से कौन सा गलत है?

Which one is not a linear factor of \(x^4-1\)?

Explanation opens after your attempt

Correct Answer

C. \(x^2+1\)

Step 1

Concept

\(x^2+1\) is not linear because its degree is (2). Over real numbers, it is not a linear factor.

Step 2

Why this answer is correct

The correct answer is C. \(x^2+1\). \(x^2+1\) is not linear because its degree is (2). Over real numbers, it is not a linear factor.

Step 3

Exam Tip

\(x^2+1\) रैखिक नहीं है क्योंकि उसकी घात (2) है। वास्तविक संख्याओं में इसे रैखिक गुणनखंड नहीं माना जाता।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

एक चर के बहुपद में चर की घातें कैसी होनी चाहिए?

What should the powers of the variable be in a polynomial in one variable?

Explanation opens after your attempt

Correct Answer

C. अऋणात्मक पूर्णांकNon-negative integers

Step 1

Concept

In a polynomial, powers of the variable are non-negative integers like \(0,1,2,\ldots\). This is the basic identification rule.

Step 2

Why this answer is correct

The correct answer is C. अऋणात्मक पूर्णांक / Non-negative integers. In a polynomial, powers of the variable are non-negative integers like \(0,1,2,\ldots\). This is the basic identification rule.

Step 3

Exam Tip

बहुपद में चर की घातें \(0,1,2,\ldots\) जैसी अऋणात्मक पूर्णांक होती हैं। यही बहुपद की मूल पहचान है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

कौन सा विकल्प एक चर में बहुपद है लेकिन रैखिक नहीं है?

Which option is a polynomial in one variable but not linear?

Explanation opens after your attempt

Correct Answer

B. \(x^2+2x+3\)

Step 1

Concept

\(x^2+2x+3\) is a polynomial and its degree is (2). Therefore it is not linear.

Step 2

Why this answer is correct

The correct answer is B. \(x^2+2x+3\). \(x^2+2x+3\) is a polynomial and its degree is (2). Therefore it is not linear.

Step 3

Exam Tip

\(x^2+2x+3\) बहुपद है और इसकी घात (2) है। इसलिए यह रैखिक नहीं है।

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Question Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

कौन सा विकल्प एक चर में बहुपद है लेकिन द्विघात नहीं है?

Which option is a polynomial in one variable but not quadratic?

Explanation opens after your attempt

Correct Answer

B. \(4x^3+x-9\)

Step 1

Concept

\(4x^3+x-9\) is a polynomial and its degree is (3). Therefore it is not quadratic.

Step 2

Why this answer is correct

The correct answer is B. \(4x^3+x-9\). \(4x^3+x-9\) is a polynomial and its degree is (3). Therefore it is not quadratic.

Step 3

Exam Tip

\(4x^3+x-9\) बहुपद है और इसकी घात (3) है। इसलिए यह द्विघात नहीं है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

कौन-सा व्यंजक एक चर वाला बहुपद है जिसमें वास्तविक गुणांक हैं?

Which expression is a polynomial in one variable with real coefficients?

Explanation opens after your attempt

Correct Answer

A. \(\sqrt{2}x^2-3x+1\)

Step 1

Concept

\(\sqrt{2}\) is a real number and the powers of (x) are whole numbers. So it is a polynomial.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{2}x^2-3x+1\). \(\sqrt{2}\) is a real number and the powers of (x) are whole numbers. So it is a polynomial.

Step 3

Exam Tip

\(\sqrt{2}\) एक वास्तविक संख्या है और (x) की घातें पूर्ण संख्याएँ हैं। इसलिए यह बहुपद है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

कौन-सा व्यंजक (z) में एक चर वाला बहुपद है?

Which expression is a polynomial in one variable (z)?

Explanation opens after your attempt

Correct Answer

A. \(z^4-2z+1\)

Step 1

Concept

The expression \(z^4-2z+1\) has only (z) and no negative powers. So it is a polynomial in (z).

Step 2

Why this answer is correct

The correct answer is A. \(z^4-2z+1\). The expression \(z^4-2z+1\) has only (z) and no negative powers. So it is a polynomial in (z).

Step 3

Exam Tip

\(z^4-2z+1\) में केवल (z) है और घातें ऋणात्मक नहीं हैं। इसलिए यह (z) में बहुपद है।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

\(2x^2+3xy+1\) एक चर वाला बहुपद क्यों नहीं है?

Why is \(2x^2+3xy+1\) not a polynomial in one variable?

Explanation opens after your attempt

Correct Answer

A. क्योंकि इसमें दो चर हैंBecause it has two variables

Step 1

Concept

It contains both (x) and (y). A polynomial in one variable should contain only one variable.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि इसमें दो चर हैं / Because it has two variables. It contains both (x) and (y). A polynomial in one variable should contain only one variable.

Step 3

Exam Tip

इसमें (x) और (y) दोनों चर हैं। एक चर वाले बहुपद में केवल एक ही चर होना चाहिए।

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Question Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 46

कौन-सा व्यंजक (x) में एक चर वाला बहुपद है?

Which expression is a polynomial in one variable (x)?

Explanation opens after your attempt

Correct Answer

A. \(3x^2-5x+7\)

Step 1

Concept

The expression \(3x^2-5x+7\) has only (x) and non-negative integer powers. In exams, the variable power must not be negative or fractional.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2-5x+7\). The expression \(3x^2-5x+7\) has only (x) and non-negative integer powers. In exams, the variable power must not be negative or fractional.

Step 3

Exam Tip

\(3x^2-5x+7\) में केवल (x) है और घातें पूर्ण संख्याएँ हैं। परीक्षा में चर की घात ऋणात्मक या भिन्न नहीं होनी चाहिए।

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Question Hard Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 26

यदि किसी परिमेय गुणांकों वाले द्विघात बहुपद का एक शून्यक \(6-2\sqrt{5}\) है, तो उस बहुपद का एक संभव रूप क्या है?

If one zero of a quadratic polynomial with rational coefficients is \(6-2\sqrt{5}\), what is one possible form of that polynomial?

Explanation opens after your attempt

Correct Answer

A. \(x^2-12x+16\)

Step 1

Concept

The other zero is \(6+2\sqrt{5}\). The sum is (12) and product is (36-20=16), so the polynomial is \(x^2-12x+16\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-12x+16\). The other zero is \(6+2\sqrt{5}\). The sum is (12) and product is (36-20=16), so the polynomial is \(x^2-12x+16\).

Step 3

Exam Tip

दूसरा शून्यक \(6+2\sqrt{5}\) होगा। योग (12) और गुणनफल (36-20=16), इसलिए बहुपद \(x^2-12x+16\) है।

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Question Easy Mathematics Real Numbers Irrational numbers Class 10 Level 15

कौन-सा युग्म एक परिमेय और एक अपरिमेय संख्या से बना है?

Which pair is made of one rational and one irrational number?

Explanation opens after your attempt

Correct Answer

B. \(8,\sqrt{15}\)

Step 1

Concept

(8) is rational.

Step 2

Why this answer is correct

\(\sqrt{15}\) is irrational because (15) is not a perfect square.

Step 3

Exam Tip

In pair questions, check the nature of both numbers separately. चरण 1: (8) परिमेय संख्या है। चरण 2: \(\sqrt{15}\) अपरिमेय है क्योंकि (15) पूर्ण वर्ग नहीं है। चरण 3: युग्म वाले प्रश्न में दोनों संख्याओं की प्रकृति अलग-अलग जांचें।

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Question Easy Mathematics Real Numbers Irrational numbers Class 10 Level 14

निम्नलिखित में से कौन-सा युग्म एक परिमेय और एक अपरिमेय संख्या का है?

Which pair has one rational and one irrational number?

Explanation opens after your attempt

Correct Answer

A. \(3,\sqrt{6}\)

Step 1

Concept

(3) is rational.

Step 2

Why this answer is correct

\(\sqrt{6}\) is irrational because (6) is not a perfect square.

Step 3

Exam Tip

In a pair, identify each number separately. चरण 1: (3) परिमेय है। चरण 2: \(\sqrt{6}\) अपरिमेय है क्योंकि (6) पूर्ण वर्ग नहीं है। चरण 3: युग्म में दोनों संख्याओं को अलग-अलग पहचानें।

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Question Medium Science World of Living Life Processes Class 10 Level 23

वाष्पोत्सर्जन का एक लाभ और एक हानि कौन सी है?

Which is one benefit and one drawback of transpiration?

Explanation opens after your attempt

Correct Answer

A. जल ऊपर चढ़ाने में सहायता पर अधिक जल हानि भीIt helps pull water upward but can also cause excess water loss

Step 1

Concept

Transpiration creates an upward pull.

Step 2

Why this answer is correct

It helps transport water and minerals.

Step 3

Exam Tip

Excessive transpiration can also increase water loss. चरण 1: वाष्पोत्सर्जन से ऊपर की ओर खिंचाव बनता है। चरण 2: यह जल और खनिज के परिवहन में सहायता करता है। चरण 3: बहुत अधिक वाष्पोत्सर्जन से जल की हानि भी बढ़ सकती है।

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Question Hard Science World of Living Heredity and Evolution Class 10 Level 21

यदि किसी पौधे का जीन प्रकार बड़ा अक्षर और छोटा अक्षर दोनों रखता है तो वह किस प्रकार का होगा?

If a plant has one capital and one small allele for a trait, what type is it?

Explanation opens after your attempt

Correct Answer

A. विषमयुग्मजीHeterozygous

Step 1

Concept

A capital letter may represent a dominant allele and a small letter a recessive allele.

Step 2

Why this answer is correct

When the two are different, the pair is mixed.

Step 3

Exam Tip

This condition is called heterozygous. चरण 1: बड़ा अक्षर प्रभावी और छोटा अक्षर अप्रभावी कारक को दिखा सकता है। चरण 2: दोनों अलग होने पर जोड़ी मिश्रित होती है। चरण 3: ऐसी अवस्था विषमयुग्मजी कहलाती है।

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Question Hard Science World of Living Heredity and Evolution Class 10 Level 19

यदि किसी पौधे में लंबाई के लिए एक प्रभावी और एक अप्रभावी रूप हो तो वह बाहर से लंबा क्यों दिखेगा?

If a plant has one dominant and one recessive form for height why will it appear tall?

Explanation opens after your attempt

Correct Answer

A. प्रभावी रूप अप्रभावी रूप को बाहरी रूप से छिपा देता हैDominant form masks the recessive form externally

Step 1

Concept

In the presence of a dominant form that trait appears.

Step 2

Why this answer is correct

The recessive form can remain hidden even when present.

Step 3

Exam Tip

Therefore the plant appears tall. चरण 1: प्रभावी रूप की उपस्थिति में वही लक्षण दिखाई देता है। चरण 2: अप्रभावी रूप साथ होते हुए भी छिप सकता है। चरण 3: इसलिए पौधा लंबा दिखाई देगा।

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Question Medium Science World of Living Heredity and Evolution Class 10 Level 19

यदि किसी मटर पौधे में लंबाई का एक प्रभावी और एक अप्रभावी रूप हो तो उसकी संतानों में बौना रूप कैसे आ सकता है?

If a pea plant has one dominant and one recessive form for height how can dwarf form appear in its offspring?

Explanation opens after your attempt

Correct Answer

A. जब संतान को दोनों माता पिता से अप्रभावी रूप मिलेंWhen offspring receives recessive forms from both parents

Step 1

Concept

A plant with one dominant and one recessive form may look tall.

Step 2

Why this answer is correct

It can pass the recessive form through gamete.

Step 3

Exam Tip

If both parents pass recessive forms the dwarf trait appears. चरण 1: एक प्रभावी और एक अप्रभावी रूप वाला पौधा बाहर से लंबा दिख सकता है। चरण 2: वह अप्रभावी रूप को जनन कोशिका में दे सकता है। चरण 3: दोनों माता पिता से अप्रभावी रूप मिलने पर बौना लक्षण दिखेगा।

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Question Medium Science World of Living Heredity and Evolution Class 10 Level 19

यदि एक पौधे में एक प्रभावी और एक अप्रभावी रूप मौजूद हो तो बाहरी लक्षण सामान्य रूप से कैसा दिखेगा?

If a plant has one dominant and one recessive form for a trait what will usually be seen externally?

Explanation opens after your attempt

Correct Answer

A. प्रभावी लक्षण दिखाई देगाDominant trait will appear

Step 1

Concept

A dominant form can hide a recessive form externally.

Step 2

Why this answer is correct

With one dominant and one recessive form the dominant trait appears.

Step 3

Exam Tip

Remember this with Mendel's tall plant example. चरण 1: प्रभावी रूप अप्रभावी रूप को बाहरी रूप से छिपा सकता है। चरण 2: एक प्रभावी और एक अप्रभावी रूप होने पर प्रभावी लक्षण दिखता है। चरण 3: मेंडल के लंबे पौधे के उदाहरण से इसे याद रखें।

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Question Hard Science Chemical Substances – Nature and Behaviour Acids, Bases, and Salts Class 10 Level 7

यदि एक विलयन में हाइड्रोजन आयन की मात्रा दूसरे विलयन से सौ गुना अधिक है तो पहले विलयन का पीएच लगभग कितना कम होगा?

If one solution has one hundred times more hydrogen ions than another solution, by how much will its pH be lower approximately?

Explanation opens after your attempt

Correct Answer

A. दो इकाईTwo units

Step 1

Concept

The pH scale is logarithmic.

Step 2

Why this answer is correct

A ten times increase in hydrogen ions lowers pH by one unit.

Step 3

Exam Tip

A hundred times increase lowers pH by two units. चरण 1: पीएच पैमाना घातीय है। चरण 2: हाइड्रोजन आयन दस गुना बढ़ने पर पीएच एक इकाई घटता है। चरण 3: सौ गुना वृद्धि से पीएच दो इकाई घटेगा।

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Question Medium Science Chemical Substances – Nature and Behaviour Acids, Bases, and Salts Class 10 Level 10

एक विलयन का पीएच मान दो है और दूसरे का पीएच मान पाँच है। दोनों अम्लीय हैं। अधिक संक्षारक होने की संभावना किसमें अधिक होगी?

One solution has pH 2 and another has pH 5. Both are acidic. Which one is more likely to be more corrosive?

Explanation opens after your attempt

Correct Answer

A. पीएच दो वाला विलयनSolution with pH 2

Step 1

Concept

Lower pH shows greater acidity.

Step 2

Why this answer is correct

pH 2 is more acidic than pH 5.

Step 3

Exam Tip

A more acidic solution can be more corrosive, so it must be handled carefully. पहला बिंदु: कम पीएच अधिक अम्लीयता दिखाता है। दूसरा बिंदु: पीएच दो, पीएच पाँच से अधिक अम्लीय है। तीसरा बिंदु: अधिक अम्लीय विलयन अधिक संक्षारक हो सकता है, इसलिए सावधानी आवश्यक है।

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Question Easy Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 4

मुख्य वस्तु के चारों ओर खाली भाग कौन सा स्थान है?

Which space is the empty area around the main object?

Explanation opens after your attempt

Correct Answer

B. ऋणात्मक स्थानNegative space

Step 1

Concept

The empty area around the main object is negative space. Exam tip: remember empty area as negative space.

Step 2

Why this answer is correct

The correct answer is B. ऋणात्मक स्थान / Negative space. The empty area around the main object is negative space. Exam tip: remember empty area as negative space.

Step 3

Exam Tip

मुख्य वस्तु के चारों ओर का खाली क्षेत्र ऋणात्मक स्थान है। परीक्षा में empty area को negative space याद रखें।

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Question Easy Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 1

कला में संतुलित रचना बनाने के लिए खाली स्थान का उपयोग किस तत्व से जुड़ा है?

The use of empty area for a balanced composition is related to which element?

Explanation opens after your attempt

Correct Answer

A. स्थानSpace

Step 1

Concept

Empty space makes a composition balanced and clear. Exam tip: place empty area under the element of space.

Step 2

Why this answer is correct

The correct answer is A. स्थान / Space. Empty space makes a composition balanced and clear. Exam tip: place empty area under the element of space.

Step 3

Exam Tip

खाली स्थान रचना को संतुलित और स्पष्ट बनाता है। परीक्षा में खाली क्षेत्र को स्थान तत्व में रखें।

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Question Hard General Knowledge World History World Heritage Sites Class 10 Level 83

लापोनियन क्षेत्र को मिश्रित धरोहर क्यों माना जाता है?

Why is the Laponian Area considered mixed heritage?

Explanation opens after your attempt

Correct Answer

A. क्योंकि यह सामी सांस्कृतिक चराई और प्राकृतिक आर्कटिक परिदृश्य दोनों दिखाता हैBecause it shows Sami cultural herding and natural Arctic landscape both

Step 1

Concept

Laponian Area combines Sami life and northern natural landscape. For exams remember mixed heritage.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि यह सामी सांस्कृतिक चराई और प्राकृतिक आर्कटिक परिदृश्य दोनों दिखाता है / Because it shows Sami cultural herding and natural Arctic landscape both. Laponian Area combines Sami life and northern natural landscape. For exams remember mixed heritage.

Step 3

Exam Tip

लापोनियन क्षेत्र सामी जीवन और उत्तरी प्राकृतिक परिदृश्य का मेल है। परीक्षा में मिश्रित धरोहर याद रखें।

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Question Expert Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक वर्गाकार टाइल की भुजा (x) सेमी है। यदि (5) सेमी चौड़ा बॉर्डर लगाने पर कुल क्षेत्रफल (900) वर्ग सेमी हो जाता है तो मूल भुजा क्या है?

A square tile has side (x) cm. If a (5) cm wide border is added all around and the total area becomes (900) square cm, what is the original side?

Explanation opens after your attempt

Correct Answer

C. (20) सेमी(20) cm

Step 1

Concept

After the border, the side becomes (x+10). From ((x+10)²=900), (x+10=30), so (x=20).

Step 2

Why this answer is correct

The correct answer is C. (20) सेमी / (20) cm. After the border, the side becomes (x+10). From ((x+10)²=900), (x+10=30), so (x=20).

Step 3

Exam Tip

बॉर्डर के बाद भुजा (x+10) होगी। ((x+10)²=900) से (x+10=30) और (x=20) मिलता है।

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Question Expert Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक वृत्ताकार पथ की बाहरी त्रिज्या आंतरिक त्रिज्या से (3) मीटर अधिक है। यदि पथ का क्षेत्रफल \(75\pi\) वर्ग मीटर है तो आंतरिक त्रिज्या क्या है?

The outer radius of a circular path is (3) m more than the inner radius. If the area of the path is \(75\pi\) square m, what is the inner radius?

Explanation opens after your attempt

Correct Answer

B. (11) मीटर(11) m

Step 1

Concept

Let the inner radius be (r). Then (\pi[(r+3)²-r^-2]=75\pi). Thus (6r+9=75), so (r=11).

Step 2

Why this answer is correct

The correct answer is B. (11) मीटर / (11) m. Let the inner radius be (r). Then (\pi[(r+3)²-r^-2]=75\pi). Thus (6r+9=75), so (r=11).

Step 3

Exam Tip

आंतरिक त्रिज्या (r) हो तो (\pi[(r+3)²-r^-2]=75\pi)। इससे (6r+9=75) और (r=11) है।

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Question Expert Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक वर्गाकार मैदान की भुजा (4) मीटर बढ़ाने पर क्षेत्रफल (96) वर्ग मीटर बढ़ जाता है। मूल भुजा कितनी थी?

When the side of a square field is increased by (4) m, its area increases by (96) square m. What was the original side?

Explanation opens after your attempt

Correct Answer

B. (10) मीटर(10) m

Step 1

Concept

If the original side is (x), then ((x+4)²-x^-2=96). Thus (8x+16=96), giving (x=10).

Step 2

Why this answer is correct

The correct answer is B. (10) मीटर / (10) m. If the original side is (x), then ((x+4)²-x^-2=96). Thus (8x+16=96), giving (x=10).

Step 3

Exam Tip

मूल भुजा (x) हो तो ((x+4)²-x^-2=96)। इससे (8x+16=96) और (x=10) मिलता है।

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Question Expert Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक आयताकार बगीचे की लंबाई चौड़ाई से (5) मीटर अधिक है। यदि क्षेत्रफल (336) वर्ग मीटर है तो चौड़ाई क्या होगी?

The length of a rectangular garden is (5) m more than its breadth. If its area is (336) square m, what is the breadth?

Explanation opens after your attempt

Correct Answer

B. (16) मीटर(16) m

Step 1

Concept

Taking breadth as (x), we get (x(x+5)=336). From \(x^2+5x-336=0\), (x=16) is correct.

Step 2

Why this answer is correct

The correct answer is B. (16) मीटर / (16) m. Taking breadth as (x), we get (x(x+5)=336). From \(x^2+5x-336=0\), (x=16) is correct.

Step 3

Exam Tip

चौड़ाई (x) लेने पर (x(x+5)=336) बनता है। \(x^2+5x-336=0\) से (x=16) सही है।

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Question Expert Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक आयत की लंबाई उसकी चौड़ाई से (3) सेमी अधिक है और क्षेत्रफल (180) वर्ग सेमी है। चौड़ाई कितनी है?

The length of a rectangle is (3) cm more than its breadth and its area is (180) square cm. What is the breadth?

Explanation opens after your attempt

Correct Answer

C. (12) सेमी(12) cm

Step 1

Concept

Let the breadth be (x). From (x(x+3)=180), \(x^2+3x-180=0\) and (x=12).

Step 2

Why this answer is correct

The correct answer is C. (12) सेमी / (12) cm. Let the breadth be (x). From (x(x+3)=180), \(x^2+3x-180=0\) and (x=12).

Step 3

Exam Tip

मान लें चौड़ाई (x) है। (x(x+3)=180) से \(x^2+3x-180=0\) और (x=12) मिलता है।

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Question Expert Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक आयत का परिमाप (50) सेमी और क्षेत्रफल (150) वर्ग सेमी है। उसकी लंबाई और चौड़ाई क्या हैं?

A rectangle has perimeter (50) cm and area (150) square cm. What are its length and breadth?

Explanation opens after your attempt

Correct Answer

A. (10) सेमी और (15) सेमी(10) cm and (15) cm

Step 1

Concept

Here (l+b=25) and (lb=150). This gives \(t^2-25t+150=0\), so the measures are (10) cm and (15) cm.

Step 2

Why this answer is correct

The correct answer is A. (10) सेमी और (15) सेमी / (10) cm and (15) cm. Here (l+b=25) and (lb=150). This gives \(t^2-25t+150=0\), so the measures are (10) cm and (15) cm.

Step 3

Exam Tip

(l+b=25) और (lb=150) है। इससे \(t^2-25t+150=0\) बनता है और माप (10) सेमी तथा (15) सेमी हैं।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक आयताकार हाल की लंबाई चौड़ाई से (2,मी) अधिक है और क्षेत्रफल \(168,मी^2\) है। चौड़ाई क्या है?

The length of a rectangular hall is (2,m) more than its breadth and its area is (168,m\(^2). What is the breadth\)?

Explanation opens after your attempt

Correct Answer

C. (12,मी)(12,m)

Step 1

Concept

If breadth is (x), then (x(x+2)=168). The positive solution is (x=12).

Step 2

Why this answer is correct

The correct answer is C. (12,मी) / (12,m\(). If breadth is (x), then (x(x+2)=168). The positive solution is (x=12).\)

Step 3

Exam Tip

यदि चौड़ाई (x) है तो (x(x+2)=168)। धनात्मक हल (x=12) है।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक आयताकार पेज का क्षेत्रफल (300,सेमी\(^2) है और लंबाई चौड़ाई से (5\),सेमी) अधिक है। चौड़ाई क्या है?

A rectangular page has area (300,cm\(^2) and its length is (5\),cm) more than its breadth. What is the breadth?

Explanation opens after your attempt

Correct Answer

C. (15,सेमी)(15,cm)

Step 1

Concept

If breadth is (x), then (x(x+5)=300). This gives (x=15).

Step 2

Why this answer is correct

The correct answer is C. (15,सेमी) / (15,cm\(). If breadth is (x), then (x(x+5)=300). This gives (x=15).\)

Step 3

Exam Tip

यदि चौड़ाई (x) है तो (x(x+5)=300)। इससे (x=15) मिलता है।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक आयत की लंबाई उसकी चौड़ाई के (2) गुने से (2,मी) अधिक है। क्षेत्रफल \(180,मी^2\) है। चौड़ाई क्या है?

The length of a rectangle is (2,m) more than twice its breadth. Its area is (180,m\(^2). What is the breadth\)?

Explanation opens after your attempt

Correct Answer

C. (9,मी)(9,m)

Step 1

Concept

If breadth is (x), then (x(2x+2)=180). This gives (x=9).

Step 2

Why this answer is correct

The correct answer is C. (9,मी) / (9,m\(). If breadth is (x), then (x(2x+2)=180). This gives (x=9).\)

Step 3

Exam Tip

यदि चौड़ाई (x) है तो (x(2x+2)=180)। इससे (x=9) मिलता है।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक किसान (120,मी) बाड़ से आयताकार खेत बनाता है जिसका क्षेत्रफल \(875,मी^2\) है। खेत के आयाम क्या हैं?

A farmer uses (120,m) of fencing to make a rectangular field of area (875,m\(^2). What are the dimensions of the field\)?

Explanation opens after your attempt

Correct Answer

B. (25,मी) और (35,मी)(25,m) and (35,m)

Step 1

Concept

Here (l+b=60) and (lb=875). From (x(60-x)=875), we get (25) and (35).

Step 2

Why this answer is correct

The correct answer is B. (25,मी) और (35,मी) / (25,m) and (35,m\(). Here (l+b=60) and (lb=875). From (x(60-x)=875), we get (25) and (35).\)

Step 3

Exam Tip

यहाँ (l+b=60) और (lb=875) है। (x(60-x)=875) से (25) और (35) मिलते हैं।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक आयताकार पार्क का परिमाप (50,मी) और क्षेत्रफल \(150,मी^2\) है। उसके आयाम क्या हैं?

A rectangular park has perimeter (50,m) and area (150,m\(^2). What are its dimensions\)?

Explanation opens after your attempt

Correct Answer

C. (10,मी) और (15,मी)(10,m) and (15,m)

Step 1

Concept

Here (l+b=25) and (lb=150). From (x(25-x)=150), the dimensions are (10) and (15).

Step 2

Why this answer is correct

The correct answer is C. (10,मी) और (15,मी) / (10,m) and (15,m\(). Here (l+b=25) and (lb=150). From (x(25-x)=150), the dimensions are (10) and (15).\)

Step 3

Exam Tip

यहाँ (l+b=25) और (lb=150) है। (x(25-x)=150) से आयाम (10) और (15) हैं।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक त्रिभुज का क्षेत्रफल \(60,सेमी^2\) है। उसका आधार ऊँचाई से (4,सेमी) अधिक है। ऊँचाई क्या है?

The area of a triangle is (60,cm\(^2). Its base is (4\),cm) more than its height. What is the height?

Explanation opens after your attempt

Correct Answer

B. (10,सेमी)(10,cm)

Step 1

Concept

If height is (x), then (\frac{1}{2}x(x+4)=60). Hence (x=10).

Step 2

Why this answer is correct

The correct answer is B. (10,सेमी) / (10,cm\(). If height is (x), then (\frac{1}{2}x(x+4)=60). Hence (x=10).\)

Step 3

Exam Tip

यदि ऊँचाई (x) है तो (\frac{1}{2}x(x+4)=60)। इसलिए (x=10) है।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक आयत की लंबाई उसकी चौड़ाई से (4,मी) अधिक है और क्षेत्रफल \(96,मी^2\) है। आयत की चौड़ाई क्या है?

The length of a rectangle is (4,m) more than its breadth and its area is (96,m\(^2). What is the breadth\)?

Explanation opens after your attempt

Correct Answer

C. (8,मी)(8,m)

Step 1

Concept

If breadth is (x), then (x(x+4)=96). The positive solution is (x=8).

Step 2

Why this answer is correct

The correct answer is C. (8,मी) / (8,m\(). If breadth is (x), then (x(x+4)=96). The positive solution is (x=8).\)

Step 3

Exam Tip

यदि चौड़ाई (x) है तो (x(x+4)=96)। धनात्मक हल (x=8) है।

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Question Medium Mathematics Quadratic Equations Word Problems and Applications Class 10 Level 42

एक आयत की लंबाई उसकी चौड़ाई से (5,सेमी) अधिक है और क्षेत्रफल \(150,सेमी^2\) है। आयत की चौड़ाई और लंबाई क्या हैं?

The length of a rectangle is (5,cm) more than its breadth and its area is (150,cm\(^2). What are the breadth and length\)?

Explanation opens after your attempt

Correct Answer

A. (10,सेमी) और (15,सेमी)(10,cm) and (15,cm)

Step 1

Concept

If breadth is (x), then (x(x+5)=150), so (x=10). In word problems choose the variable carefully first.

Step 2

Why this answer is correct

The correct answer is A. (10,सेमी) और (15,सेमी) / (10,cm) and (15,cm\(). If breadth is (x), then (x(x+5)=150), so (x=10). In word problems choose the variable carefully first.\)

Step 3

Exam Tip

यदि चौड़ाई (x) है तो (x(x+5)=150) से (x=10) मिलता है। शब्द प्रश्न में पहले चर सही मानें।

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