100 results found for "addition-functions" in Class 10.
संतृप्त हाइड्रोकार्बन सामान्यतः योगात्मक अभिक्रिया क्यों नहीं करते?
Why do saturated hydrocarbons generally not undergo addition reactions?
#saturated hydrocarbon
#addition reaction
#single bond
A क्योंकि उनमें दोहरा या तिहरा बंध नहीं होता / Because they do not have double or triple bonds
B क्योंकि उनमें हाइड्रोजन नहीं होता / Because they have no hydrogen
C क्योंकि वे सभी आयनिक होते हैं / Because they are all ionic
D क्योंकि उनमें कार्बन नहीं होता / Because they have no carbon
Explanation opens after your attempt
Correct Answer
A. क्योंकि उनमें दोहरा या तिहरा बंध नहीं होता / Because they do not have double or triple bonds
Step 1
Concept
An unsaturated bond is useful for addition reaction.
Step 2
Why this answer is correct
Saturated hydrocarbons have only single bonds.
Step 3
Exam Tip
Therefore they generally do not undergo addition reactions. चरण 1: योगात्मक अभिक्रिया के लिए असंतृप्त बंध उपयोगी होता है। चरण 2: संतृप्त हाइड्रोकार्बन में केवल एकल बंध होते हैं। चरण 3: इसलिए वे सामान्यतः योगात्मक अभिक्रिया नहीं करते।
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भारत रत्न की शुरुआत और मरणोपरांत सम्मान की अनुमति जोड़े जाने के वर्षों का सही युग्म क्या है?
What is the correct pair of years for the institution of Bharat Ratna and the addition of posthumous award permission?
#bharat ratna awards
#institution
#posthumous rule
A 1954 और 1955 / 1954 and 1955
B 1955 और 1966 / 1955 and 1966
C 1954 और 1966 / 1954 and 1966
D 1957 और 1958 / 1957 and 1958
Explanation opens after your attempt
Correct Answer
A. 1954 और 1955 / 1954 and 1955
Step 1
Concept
Bharat Ratna was instituted in 1954 and posthumous awards were allowed from 1955. Remember these two rule related years separately.
Step 2
Why this answer is correct
The correct answer is A. 1954 और 1955 / 1954 and 1955. Bharat Ratna was instituted in 1954 and posthumous awards were allowed from 1955. Remember these two rule related years separately.
Step 3
Exam Tip
भारत रत्न 1954 में शुरू हुआ और 1955 में मरणोपरांत सम्मान की अनुमति जोड़ी गई। परीक्षा में दोनों नियम संबंधी वर्ष अलग याद रखें।
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जैन पंच महाव्रतों में ब्रह्मचर्य जोड़ने का श्रेय किस तीर्थंकर से जुड़ा माना जाता है?
The addition of Brahmacharya to the Jain five great vows is associated with which Tirthankara?
#ancient-history
#jainism
#mahavira
A ऋषभदेव / Rishabhanatha
B पार्श्वनाथ / Parshvanatha
C महावीर / Mahavira
D नेमिनाथ / Neminatha
Explanation opens after your attempt
Correct Answer
C. महावीर / Mahavira
Step 1
Concept
Mahavira is considered to have added Brahmacharya prominently to Parshvanatha's four-vow tradition. For exams, remember the difference between the 23rd and 24th Tirthankaras.
Step 2
Why this answer is correct
The correct answer is C. महावीर / Mahavira. Mahavira is considered to have added Brahmacharya prominently to Parshvanatha's four-vow tradition. For exams, remember the difference between the 23rd and 24th Tirthankaras.
Step 3
Exam Tip
महावीर ने पार्श्वनाथ की चार व्रत परंपरा में ब्रह्मचर्य को प्रमुख रूप से जोड़ा माना जाता है। परीक्षा में तेईसवें और चौबीसवें तीर्थंकर का अंतर याद रखें।
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महावीर के पंच महाव्रतों में ब्रह्मचर्य का अलग रूप से जोड़ना किस पूर्व तीर्थंकर से भिन्नता दिखाता है?
The separate addition of Brahmacharya among Mahavira's five great vows shows difference from which earlier Tirthankara?
#ancient-history
#jainism
#mahavira
A ऋषभदेव / Rishabhanatha
B नेमिनाथ / Neminatha
C अजितनाथ / Ajitanatha
D पार्श्वनाथ / Parshvanatha
Explanation opens after your attempt
Correct Answer
D. पार्श्वनाथ / Parshvanatha
Step 1
Concept
Four vows are linked with Parshvanatha while Mahavira made Brahmacharya a separate great vow. For exams, remember development of Jain vows.
Step 2
Why this answer is correct
The correct answer is D. पार्श्वनाथ / Parshvanatha. Four vows are linked with Parshvanatha while Mahavira made Brahmacharya a separate great vow. For exams, remember development of Jain vows.
Step 3
Exam Tip
पार्श्वनाथ से चार व्रत जोड़े जाते हैं जबकि महावीर ने ब्रह्मचर्य को अलग महाव्रत बनाया। परीक्षा में जैन व्रतों का विकास याद रखें।
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शुंग काल में सांची स्तूप में कौन सा महत्वपूर्ण निर्माण जोड़ा गया?
What important addition was made to Sanchi Stupa during the Shunga period?
#ancient-history
#sanchi
#shunga-art
A तोरण और वेदिका / Gateways and railings
B लोहे का जहाज / Iron ship
C स्वर्ण सिक्का भंडार / Gold coin hoard
D गुप्त विश्वविद्यालय / Gupta university
Explanation opens after your attempt
Correct Answer
A. तोरण और वेदिका / Gateways and railings
Step 1
Concept
During the Shunga period, gateways and railings were added at Sanchi. For exams, link stupa development with different periods.
Step 2
Why this answer is correct
The correct answer is A. तोरण और वेदिका / Gateways and railings. During the Shunga period, gateways and railings were added at Sanchi. For exams, link stupa development with different periods.
Step 3
Exam Tip
शुंग काल में सांची में तोरण और वेदिका जैसी संरचनाएं जोड़ी गईं। परीक्षा में स्तूप विकास को अलग-अलग कालों से जोड़ें।
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शुक्र द्रव में तरल पदार्थ मिलना क्यों उपयोगी है?
Why is addition of fluid to sperms useful in semen?
#semen
#sperm movement
#male reproductive system
A यह शुक्राणुओं को गति और पोषण में सहायता देता है / It helps sperms in movement and nourishment
B यह शुक्राणुओं को बीज में बदलता है / It changes sperms into seeds
C यह अंडाशय में परागकण बनाता है / It forms pollen in ovary
D यह गर्भाशय को पत्ती बनाता है / It changes uterus into leaf
Explanation opens after your attempt
Correct Answer
A. यह शुक्राणुओं को गति और पोषण में सहायता देता है / It helps sperms in movement and nourishment
Step 1
Concept
Sperms must move through the female reproductive tract.
Step 2
Why this answer is correct
Fluid gives them a medium for movement.
Step 3
Exam Tip
It can also provide some nourishment and protection. चरण 1: शुक्राणुओं को मादा जनन मार्ग में आगे बढ़ना होता है। चरण 2: तरल पदार्थ उन्हें चलने का माध्यम देता है। चरण 3: यह उन्हें कुछ पोषण और सुरक्षा भी दे सकता है।
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अम्ल को पानी में धीरे धीरे मिलाने की प्रक्रिया किस ऊर्जा परिवर्तन से जुड़ी है?
The slow addition of acid to water is related to which energy change?
#science
#class10
#medium
#acid-dilution
#exothermic
A ऊष्मा निकलती है / Heat is released
B ऊष्मा हमेशा शून्य रहती है / Heat always remains zero
C प्रकाश अवशोषित होता है / Light is absorbed
D ध्वनि बनती है / Sound is formed
Explanation opens after your attempt
Correct Answer
A. ऊष्मा निकलती है / Heat is released
Step 1
Concept
Heat is released when acid is added to water.
Step 2
Why this answer is correct
Release of heat makes it an exothermic process.
Step 3
Exam Tip
Therefore slow addition is safer. चरण 1: अम्ल को पानी में मिलाने पर ऊष्मा निकलती है। चरण 2: ऊष्मा निकलना ऊष्माक्षेपी प्रक्रिया है। चरण 3: इसलिए धीरे धीरे मिलाना सुरक्षित होता है।
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हाइड्रोजन हटने को किस प्रक्रिया से और हाइड्रोजन जुड़ने को किस प्रक्रिया से जोड़ा जाता है?
Removal of hydrogen and addition of hydrogen are linked with which processes?
#science
#class10
#expert
#hydrogen-transfer
#redox
A ऑक्सीकरण और अपचयन / Oxidation and reduction
B अपचयन और ऑक्सीकरण / Reduction and oxidation
C अवक्षेपण और वियोजन / Precipitation and decomposition
D संयोजन और विस्थापन / Combination and displacement
Explanation opens after your attempt
Correct Answer
A. ऑक्सीकरण और अपचयन / Oxidation and reduction
Step 1
Concept
Removal of hydrogen is considered oxidation.
Step 2
Why this answer is correct
Addition of hydrogen is considered reduction.
Step 3
Exam Tip
Therefore the order is oxidation and reduction. चरण 1: हाइड्रोजन हटना ऑक्सीकरण माना जाता है। चरण 2: हाइड्रोजन जुड़ना अपचयन माना जाता है। चरण 3: इसलिए क्रम ऑक्सीकरण और अपचयन है।
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हाइड्रोजन हटने और हाइड्रोजन जुड़ने को क्रमशः किन प्रक्रियाओं से जोड़ा जाता है?
Removal of hydrogen and addition of hydrogen are respectively linked with which processes?
#science
#class10
#expert
#hydrogen-transfer
#redox
A ऑक्सीकरण और अपचयन / Oxidation and reduction
B अपचयन और ऑक्सीकरण / Reduction and oxidation
C अवक्षेपण और दहन / Precipitation and combustion
D गलन और जमना / Melting and freezing
Explanation opens after your attempt
Correct Answer
A. ऑक्सीकरण और अपचयन / Oxidation and reduction
Step 1
Concept
Removal of hydrogen is considered oxidation.
Step 2
Why this answer is correct
Addition of hydrogen is considered reduction.
Step 3
Exam Tip
Therefore the correct order is oxidation and reduction. चरण 1: हाइड्रोजन हटना ऑक्सीकरण माना जाता है। चरण 2: हाइड्रोजन जुड़ना अपचयन माना जाता है। चरण 3: इसलिए सही क्रम ऑक्सीकरण और अपचयन है।
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हाइड्रोजन हटने और हाइड्रोजन जुड़ने की प्रक्रियाओं का सही क्रम कौन सा है?
What is the correct order of processes for removal of hydrogen and addition of hydrogen?
#science
#class10
#hard
#hydrogen-transfer
#redox
A अपचयन और ऑक्सीकरण / Reduction and oxidation
B दहन और अवक्षेपण / Combustion and precipitation
C गलन और जमना / Melting and freezing
D ऑक्सीकरण और अपचयन / Oxidation and reduction
Explanation opens after your attempt
Correct Answer
D. ऑक्सीकरण और अपचयन / Oxidation and reduction
Step 1
Concept
Removal of hydrogen is considered oxidation.
Step 2
Why this answer is correct
Addition of hydrogen is considered reduction.
Step 3
Exam Tip
Therefore the correct order is oxidation and reduction. चरण 1: हाइड्रोजन हटना ऑक्सीकरण माना जाता है। चरण 2: हाइड्रोजन जुड़ना अपचयन माना जाता है। चरण 3: इसलिए सही क्रम ऑक्सीकरण और अपचयन है।
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हाइड्रोजन हटने और हाइड्रोजन जुड़ने की प्रक्रियाओं का सही क्रम कौन सा है?
What is the correct order of processes for removal of hydrogen and addition of hydrogen?
#science
#class10
#hard
#hydrogen-transfer
#redox
A अपचयन और ऑक्सीकरण / Reduction and oxidation
B अवक्षेपण और दहन / Precipitation and combustion
C गलन और जमना / Melting and freezing
D ऑक्सीकरण और अपचयन / Oxidation and reduction
Explanation opens after your attempt
Correct Answer
D. ऑक्सीकरण और अपचयन / Oxidation and reduction
Step 1
Concept
Removal of hydrogen is considered oxidation.
Step 2
Why this answer is correct
Addition of hydrogen is considered reduction.
Step 3
Exam Tip
Therefore the correct order is oxidation and reduction. चरण 1: हाइड्रोजन हटना ऑक्सीकरण माना जाता है। चरण 2: हाइड्रोजन जुड़ना अपचयन माना जाता है। चरण 3: इसलिए सही क्रम ऑक्सीकरण और अपचयन है।
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हाइड्रोजन हटने और हाइड्रोजन जुड़ने को क्रमशः किन प्रक्रियाओं से जोड़ा जाता है?
Removal of hydrogen and addition of hydrogen are respectively linked with which processes?
#science
#class10
#hard
#hydrogen-transfer
#redox
A ऑक्सीकरण और अपचयन / Oxidation and reduction
B अपचयन और ऑक्सीकरण / Reduction and oxidation
C अवक्षेपण और दहन / Precipitation and combustion
D गलन और जमना / Melting and freezing
Explanation opens after your attempt
Correct Answer
A. ऑक्सीकरण और अपचयन / Oxidation and reduction
Step 1
Concept
Removal of hydrogen is considered oxidation.
Step 2
Why this answer is correct
Addition of hydrogen is considered reduction.
Step 3
Exam Tip
Therefore the order is oxidation and reduction. चरण 1: हाइड्रोजन हटना ऑक्सीकरण माना जाता है। चरण 2: हाइड्रोजन जुड़ना अपचयन माना जाता है। चरण 3: इसलिए क्रम ऑक्सीकरण और अपचयन होगा।
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निकेल उत्प्रेरक की उपस्थिति में वनस्पति तेल में हाइड्रोजन मिलाने की प्रक्रिया किससे जुड़ी है?
The addition of hydrogen to vegetable oil in the presence of nickel catalyst is related to what?
#science
#class10
#hydrogenation
#nickel
#vegetable-oil
A हाइड्रोजनीकरण / Hydrogenation
B उदासीनीकरण / Neutralisation
C किण्वन / Fermentation
D वाष्पीकरण / Evaporation
Explanation opens after your attempt
Correct Answer
A. हाइड्रोजनीकरण / Hydrogenation
Step 1
Concept
Vegetable oil can be unsaturated.
Step 2
Why this answer is correct
Adding hydrogen in the presence of nickel makes it more saturated.
Step 3
Exam Tip
This process is called hydrogenation. चरण 1: वनस्पति तेल असंतृप्त हो सकता है। चरण 2: निकेल की उपस्थिति में हाइड्रोजन जोड़ने पर यह अधिक संतृप्त बनता है। चरण 3: इस प्रक्रिया को हाइड्रोजनीकरण कहा जाता है।
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एक AP के पहले (5) पद (3,7,11,15,19) हैं। इनका योग क्या है?
The first (5) terms of an AP are (3,7,11,15,19). What is their sum?
#ap-sum-direct-addition
A (55)
B (57)
C (59)
D (61)
Explanation opens after your attempt
Step 1
Concept
Adding directly (3+7+11+15+19=55). For small (n), direct addition is useful too.
Step 2
Why this answer is correct
The correct answer is A. (55). Adding directly (3+7+11+15+19=55). For small (n), direct addition is useful too.
Step 3
Exam Tip
सीधे जोड़ने पर (3+7+11+15+19=55)। छोटे (n) में सीधा जोड़ भी उपयोगी है।
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यदि \(24,20,16,12,\ldots\) के प्रत्येक पद में (7) जोड़ा जाए तो नए अनुक्रम का सार्व अंतर क्या होगा?
If (7) is added to each term of \(24,20,16,12,\ldots\), what will be the common difference of the new sequence?
#ap
#addition transformation
#common difference
#hard
A (4)
B (-4)
C (7)
D (-7)
Explanation opens after your attempt
Step 1
Concept
Adding the same number to all terms does not change the common difference. The original (d=20-24=-4), so the new (d) remains (-4).
Step 2
Why this answer is correct
The correct answer is B. (-4). Adding the same number to all terms does not change the common difference. The original (d=20-24=-4), so the new (d) remains (-4).
Step 3
Exam Tip
सभी पदों में समान संख्या जोड़ने से सार्व अंतर नहीं बदलता। मूल (d=20-24=-4) है, इसलिए नया (d=-4) ही रहेगा।
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संख्या रेखा पर \( \sqrt{29}+\sqrt{29}+\sqrt{29}+\sqrt{29} \) का सरल रूप कौन सा है?
What is the simplified form of \( \sqrt{29}+\sqrt{29}+\sqrt{29}+\sqrt{29} \) on the number line?
#number-line
#radical-addition
#common-mistake
A \( \sqrt{116} \)
B \(4\sqrt{29}\)
C \(29\sqrt{4}\)
D (116)
Explanation opens after your attempt
Correct Answer
B. \(4\sqrt{29}\)
Step 1
Concept
Adding like radicals gives \( \sqrt{29}+\sqrt{29}+\sqrt{29}+\sqrt{29}=4\sqrt{29} \). Do not add the numbers inside radicals directly.
Step 2
Why this answer is correct
The correct answer is B. \(4\sqrt{29}\). Adding like radicals gives \( \sqrt{29}+\sqrt{29}+\sqrt{29}+\sqrt{29}=4\sqrt{29} \). Do not add the numbers inside radicals directly.
Step 3
Exam Tip
समान मूलों को जोड़ने पर \( \sqrt{29}+\sqrt{29}+\sqrt{29}+\sqrt{29}=4\sqrt{29} \) होता है। मूल के अंदर संख्याएँ सीधे नहीं जोड़ी जातीं।
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संख्या रेखा पर \( \sqrt{19}+\sqrt{19}+\sqrt{19} \) का सरल रूप कौन सा है?
What is the simplified form of \( \sqrt{19}+\sqrt{19}+\sqrt{19} \) on the number line?
#number-line
#radical-addition
#common-mistake
A \( \sqrt{57} \)
B \(3\sqrt{19}\)
C \(19\sqrt{3}\)
D (57)
Explanation opens after your attempt
Correct Answer
B. \(3\sqrt{19}\)
Step 1
Concept
Adding like radicals gives \( \sqrt{19}+\sqrt{19}+\sqrt{19}=3\sqrt{19} \). Do not add the numbers inside radicals directly.
Step 2
Why this answer is correct
The correct answer is B. \(3\sqrt{19}\). Adding like radicals gives \( \sqrt{19}+\sqrt{19}+\sqrt{19}=3\sqrt{19} \). Do not add the numbers inside radicals directly.
Step 3
Exam Tip
समान मूलों को जोड़ने पर \( \sqrt{19}+\sqrt{19}+\sqrt{19}=3\sqrt{19} \) होता है। मूल के अंदर संख्याएँ सीधे नहीं जोड़ी जातीं।
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संख्या रेखा पर \( \sqrt{12}+\sqrt{27} \) का सरल रूप कौन सा है?
What is the simplified form of \( \sqrt{12}+\sqrt{27} \) on the number line?
#number-line
#radical-addition
#simplification
A \(4\sqrt{3}\)
B \(5\sqrt{3}\)
C \( \sqrt{39} \)
D \(9\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
B. \(5\sqrt{3}\)
Step 1
Concept
\( \sqrt{12}=2\sqrt{3} \) and \( \sqrt{27}=3\sqrt{3} \), so the sum is \(5\sqrt{3}\). Simplify the radicals first.
Step 2
Why this answer is correct
The correct answer is B. \(5\sqrt{3}\). \( \sqrt{12}=2\sqrt{3} \) and \( \sqrt{27}=3\sqrt{3} \), so the sum is \(5\sqrt{3}\). Simplify the radicals first.
Step 3
Exam Tip
\( \sqrt{12}=2\sqrt{3} \) और \( \sqrt{27}=3\sqrt{3} \), इसलिए योग \(5\sqrt{3}\) है। पहले मूलों को सरल करें।
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कौन सा मान \( -\frac{5}{4} \) से दाईं ओर \( \frac{7}{10} \) इकाई दूर है?
Which value is \( \frac{7}{10} \) unit to the right of \( -\frac{5}{4} \)?
#number-line
#fraction-addition
#direction
A \( -\frac{11}{20} \)
B \( -\frac{39}{20} \)
C \( \frac{11}{20} \)
D \( -\frac{7}{10} \)
Explanation opens after your attempt
Correct Answer
A. \( -\frac{11}{20} \)
Step 1
Concept
Moving right gives \( -\frac{5}{4}+\frac{7}{10}=-\frac{11}{20} \). Use a common denominator to add fractions.
Step 2
Why this answer is correct
The correct answer is A. \( -\frac{11}{20} \). Moving right gives \( -\frac{5}{4}+\frac{7}{10}=-\frac{11}{20} \). Use a common denominator to add fractions.
Step 3
Exam Tip
दाईं ओर \( -\frac{5}{4}+\frac{7}{10}=-\frac{11}{20} \) मिलता है। भिन्नों में समान हर बनाकर जोड़ें।
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संख्या रेखा पर \( \sqrt{2}+\sqrt{8} \) का सरल रूप कौन सा है?
What is the simplified form of \( \sqrt{2}+\sqrt{8} \) on the number line?
#number-line
#radical-simplification
#addition
A \(3\sqrt{2}\)
B \( \sqrt{10} \)
C \(2\sqrt{10}\)
D \(4\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(3\sqrt{2}\)
Step 1
Concept
\( \sqrt{8}=2\sqrt{2} \), so \( \sqrt{2}+\sqrt{8}=3\sqrt{2} \). Only like radicals can be added.
Step 2
Why this answer is correct
The correct answer is A. \(3\sqrt{2}\). \( \sqrt{8}=2\sqrt{2} \), so \( \sqrt{2}+\sqrt{8}=3\sqrt{2} \). Only like radicals can be added.
Step 3
Exam Tip
\( \sqrt{8}=2\sqrt{2} \), इसलिए \( \sqrt{2}+\sqrt{8}=3\sqrt{2} \)। समान मूलों को ही जोड़ा जाता है।
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संख्या रेखा पर \( \sqrt{13}+\sqrt{13} \) का सरल रूप कौन सा है?
What is the simplified form of \( \sqrt{13}+\sqrt{13} \) on the number line?
#number-line
#radical-addition
#common-mistake
A \(2\sqrt{13}\)
B \( \sqrt{26} \)
C (13)
D (26)
Explanation opens after your attempt
Correct Answer
A. \(2\sqrt{13}\)
Step 1
Concept
Adding like radicals gives \( \sqrt{13}+\sqrt{13}=2\sqrt{13} \). Do not add the numbers inside the radicals directly.
Step 2
Why this answer is correct
The correct answer is A. \(2\sqrt{13}\). Adding like radicals gives \( \sqrt{13}+\sqrt{13}=2\sqrt{13} \). Do not add the numbers inside the radicals directly.
Step 3
Exam Tip
समान मूलों को जोड़ने पर \( \sqrt{13}+\sqrt{13}=2\sqrt{13} \) होता है। मूल के अंदर संख्याएँ सीधे नहीं जोड़ी जातीं।
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यदि (P) संख्या रेखा पर \( \sqrt{49}+\sqrt{16} \) पर है, तो (P) का निर्देशांक क्या है?
If (P) is at \( \sqrt{49}+\sqrt{16} \) on the number line, what is the coordinate of (P)?
#number-line
#exact-roots
#addition
A (11)
B (13)
C (9)
D (65)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{49}=7 \) and \( \sqrt{16}=4 \), so the sum is (11). Find each square root first.
Step 2
Why this answer is correct
The correct answer is A. (11). \( \sqrt{49}=7 \) and \( \sqrt{16}=4 \), so the sum is (11). Find each square root first.
Step 3
Exam Tip
\( \sqrt{49}=7 \) और \( \sqrt{16}=4 \), इसलिए योग (11) है। पहले अलग-अलग वर्गमूल निकालें।
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कौन सा मान संख्या रेखा पर \( -\frac{3}{4} \) से दाईं ओर \( \frac{5}{6} \) इकाई दूर है?
Which value is \( \frac{5}{6} \) unit to the right of \( -\frac{3}{4} \) on the number line?
#number-line
#fraction-addition
#distance
A \( \frac{1}{12}\)
B \( -\frac{19}{12}\)
C \( \frac{5}{24}\)
D \( -\frac{1}{12}\)
Explanation opens after your attempt
Correct Answer
A. \( \frac{1}{12}\)
Step 1
Concept
Moving right gives \( -\frac{3}{4}+\frac{5}{6}=\frac{1}{12}\). Use a common denominator to add fractions.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{1}{12}\). Moving right gives \( -\frac{3}{4}+\frac{5}{6}=\frac{1}{12}\). Use a common denominator to add fractions.
Step 3
Exam Tip
दाईं ओर \( -\frac{3}{4}+\frac{5}{6}=\frac{1}{12}\) मिलता है। भिन्नों में समान हर बनाकर जोड़ें।
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संख्या रेखा पर \(\sqrt{2}+\sqrt{3}\) किस अंतराल में होगा?
On the number line, in which interval will \(\sqrt{2}+\sqrt{3}\) lie?
#polynomials
#number-line
#surd-addition
#interval
A ((3,4))
B ((2,3))
C ((4,5))
D ((1,2))
Explanation opens after your attempt
Correct Answer
A. ((3,4))
Step 1
Concept
\(\sqrt{2}\approx1.414\) and \(\sqrt{3}\approx1.732\), so the sum is about (3.146). Add approximate values for sums.
Step 2
Why this answer is correct
The correct answer is A. ((3,4)). \(\sqrt{2}\approx1.414\) and \(\sqrt{3}\approx1.732\), so the sum is about (3.146). Add approximate values for sums.
Step 3
Exam Tip
\(\sqrt{2}\approx1.414\) और \(\sqrt{3}\approx1.732\), इसलिए योग लगभग (3.146) है। योग के लिए अनुमानित मान जोड़ें।
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संख्या रेखा पर \(2+\sqrt{5}\) किस दो पूर्णांकों के बीच होगा?
Between which two integers will \(2+\sqrt{5}\) lie on the number line?
#number-line
#irrational-numbers
#addition
#estimation
A (2) और (3) / (2) and (3)
B (3) और (4) / (3) and (4)
C (4) और (5) / (4) and (5)
D (5) और (6) / (5) and (6)
Explanation opens after your attempt
Correct Answer
C. (4) और (5) / (4) and (5)
Step 1
Concept
\(\sqrt{5}\approx2.24\), so \(2+\sqrt{5}\approx4.24\). It lies between (4) and (5).
Step 2
Why this answer is correct
The correct answer is C. (4) और (5) / (4) and (5). \(\sqrt{5}\approx2.24\), so \(2+\sqrt{5}\approx4.24\). It lies between (4) and (5).
Step 3
Exam Tip
\(\sqrt{5}\approx2.24\), इसलिए \(2+\sqrt{5}\approx4.24\) है। यह (4) और (5) के बीच आता है।
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संख्या रेखा पर (2) से दाईं ओर (3) इकाई चलने पर कौन-सा बिंदु मिलेगा?
Which point is reached by moving (3) units to the right from (2) on the number line?
#movement-right
#addition
#number-line
A (5)
B -(1)
C (3)
D (6)
Explanation opens after your attempt
Step 1
Concept
Moving (3) units right from (2) gives (2+3=5). The value increases when moving right.
Step 2
Why this answer is correct
The correct answer is A. (5). Moving (3) units right from (2) gives (2+3=5). The value increases when moving right.
Step 3
Exam Tip
(2) से दाईं ओर (3) इकाई चलने पर (2+3=5) मिलता है। दाईं ओर जाने पर मान बढ़ता है।
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संख्या रेखा पर (0) से दाईं ओर (5) इकाई चलने पर कौन-सा बिंदु मिलेगा?
Which point is reached by moving (5) units to the right from (0) on the number line?
#movement-right
#number-line
#addition
A (5)
B -(5)
C (0)
D (10)
Explanation opens after your attempt
Step 1
Concept
Moving (5) units right gives (0+5=5). Moving right is like addition.
Step 2
Why this answer is correct
The correct answer is A. (5). Moving (5) units right gives (0+5=5). Moving right is like addition.
Step 3
Exam Tip
दाईं ओर (5) इकाई चलने से (0+5=5) मिलता है। दाईं ओर चलना जोड़ने जैसा है।
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(p(x)=6x-5 -4x-2 +1) और (q(x)=-6x-5 +3x-4 +x-9) के योग की घात क्या है?
What is the degree of the sum of (p(x)=6x-5 -4x-2 +1) and (q(x)=-6x-5 +3x-4 +x-9)?
#degree
#cancellation
#addition
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
The \(x^5\)-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.
Step 2
Why this answer is correct
The correct answer is C. (4). The \(x^5\)-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.
Step 3
Exam Tip
\(x^5\) के पद कट जाते हैं और सबसे बड़ी बची घात (4) है। जोड़ के बाद बहुपद की घात फिर से जांचें।
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(p(x)=5x-4 -3x-3 +2x-2 -x+8) और (q(x)=-2x-4 +7x-3 -5x-2 +4x-6) के योग में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in the sum of (p(x)=5x-4 -3x-3 +2x-2 -x+8) and (q(x)=-2x-4 +7x-3 -5x-2 +4x-6)?
#addition
#coefficient
#like terms
A (3)
B (4)
C (5)
D (10)
Explanation opens after your attempt
Step 1
Concept
The coefficients of \(x^3\) are (-3) and (7), so the sum is (4). Add only coefficients of like powers.
Step 2
Why this answer is correct
The correct answer is B. (4). The coefficients of \(x^3\) are (-3) and (7), so the sum is (4). Add only coefficients of like powers.
Step 3
Exam Tip
\(x^3\) के गुणांक (-3) और (7) हैं, इसलिए योग (4) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=5x-4 -2x-2 +1) और (q(x)=-5x-4 +3x-3 +x-6) के योग की घात क्या है?
What is the degree of the sum of (p(x)=5x-4 -2x-2 +1) and (q(x)=-5x-4 +3x-3 +x-6)?
#degree
#cancellation
#addition
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 2
Why this answer is correct
The correct answer is C. (3). The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 3
Exam Tip
\(x^4\) के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात दोबारा जांचना जरूरी है।
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(p(x)=4x-3 -7x-2 +2x-5) और (q(x)=-x-3 +3x-2 -6x+9) के योग में (x) का गुणांक क्या है?
What is the coefficient of (x) in the sum of (p(x)=4x-3 -7x-2 +2x-5) and (q(x)=-x-3 +3x-2 -6x+9)?
#addition
#coefficient
#like terms
A (-8)
B (-4)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
The coefficients of (x) are (2) and (-6), so the sum is (-4). Add coefficients of like powers only.
Step 2
Why this answer is correct
The correct answer is B. (-4). The coefficients of (x) are (2) and (-6), so the sum is (-4). Add coefficients of like powers only.
Step 3
Exam Tip
(x) के गुणांक (2) और (-6) हैं, इसलिए योग (-4) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=4x-4 -3x-2 +2) और (q(x)=-4x-4 +5x-3 +x-8) के योग की घात क्या है?
What is the degree of the sum of (p(x)=4x-4 -3x-2 +2) and (q(x)=-4x-4 +5x-3 +x-8)?
#degree
#cancellation
#addition
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 2
Why this answer is correct
The correct answer is C. (3). The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 3
Exam Tip
\(x^4\) के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात फिर से जांचें।
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(p(x)=3x-3 -2x-2 +5x-1) और (q(x)=-x-3 +7x-2 -4x+6) के योग में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in the sum of (p(x)=3x-3 -2x-2 +5x-1) and (q(x)=-x-3 +7x-2 -4x+6)?
#addition
#coefficient
#like terms
A (3)
B (5)
C (7)
D (9)
Explanation opens after your attempt
Step 1
Concept
The coefficients of \(x^2\) are (-2) and (7), whose sum is (5). Add only coefficients of like powers.
Step 2
Why this answer is correct
The correct answer is B. (5). The coefficients of \(x^2\) are (-2) and (7), whose sum is (5). Add only coefficients of like powers.
Step 3
Exam Tip
\(x^2\) के गुणांक (-2) और (7) हैं, जिनका योग (5) है। समान घात के गुणांक ही जोड़ें।
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(p(x)=4x-2 -9x+2) और (q(x)=3x-2 +x-7) का योग क्या है?
What is the sum of (p(x)=4x-2 -9x+2) and (q(x)=3x-2 +x-7)?
#addition
#like terms
#polynomials
A \(7x^2-8x-5\)
B \(x^2-10x+9\)
C \(7x^2+8x-5\)
D \(12x^4-9x-14\)
Explanation opens after your attempt
Correct Answer
A. \(7x^2-8x-5\)
Step 1
Concept
Adding like terms gives \(7x^2-8x-5\). Add only like terms.
Step 2
Why this answer is correct
The correct answer is A. \(7x^2-8x-5\). Adding like terms gives \(7x^2-8x-5\). Add only like terms.
Step 3
Exam Tip
समान घात वाले पद जोड़ने पर \(7x^2-8x-5\) मिलता है। केवल समान पदों को ही जोड़ें।
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(p(x)=3x-2 -4x+1) और (q(x)=x-2 +2x-5) का योग क्या है?
What is the sum of (p(x)=3x-2 -4x+1) and (q(x)=x-2 +2x-5)?
#addition
#like terms
#polynomials
A \(4x^2-2x-4\)
B \(2x^2-6x+6\)
C \(4x^2+6x-4\)
D \(3x^4-8x^2-5\)
Explanation opens after your attempt
Correct Answer
A. \(4x^2-2x-4\)
Step 1
Concept
Adding like terms gives \(4x^2-2x-4\). Combine only like terms.
Step 2
Why this answer is correct
The correct answer is A. \(4x^2-2x-4\). Adding like terms gives \(4x^2-2x-4\). Combine only like terms.
Step 3
Exam Tip
समान घात वाले पद जोड़ने पर \(4x^2-2x-4\) मिलता है। केवल समान पदों को मिलाएं।
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(\(4x^2-3x+6\)+\(-x^2+7x-9\)) का योग क्या है?
What is the sum of (\(4x^2-3x+6\)+\(-x^2+7x-9\))?
#polynomials
#addition
#like-terms
#operations
A \(,3x^2+4x-3,\)
B \(,5x^2+4x-3,\)
C \(,3x^2-10x+15,\)
D \(,3x^2+10x-3,\)
Explanation opens after your attempt
Correct Answer
A. \(,3x^2+4x-3,\)
Step 1
Concept
Adding like terms gives \(4x^2-x^2=3x^2\), (-3x+7x=4x), and (6-9=-3). In exams, add like terms separately.
Step 2
Why this answer is correct
The correct answer is A. \(,3x^2+4x-3,\). Adding like terms gives \(4x^2-x^2=3x^2\), (-3x+7x=4x), and (6-9=-3). In exams, add like terms separately.
Step 3
Exam Tip
समान पद जोड़ने पर \(4x^2-x^2=3x^2\), (-3x+7x=4x) और (6-9=-3) मिलता है। परीक्षा में like terms को अलग-अलग जोड़ें।
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(\(3x^2-2x+1\)+\(x^2+5x-4\)) का योग क्या है?
What is the sum of (\(3x^2-2x+1\)+\(x^2+5x-4\))?
#polynomials
#addition
#like-terms
#operations
A \(,4x^2+3x-3,\)
B \(,4x^2-7x+5,\)
C \(,2x^2+3x-3,\)
D \(,4x^2+7x-5,\)
Explanation opens after your attempt
Correct Answer
A. \(,4x^2+3x-3,\)
Step 1
Concept
Adding like terms gives \(3x^2+x^2=4x^2\), (-2x+5x=3x), and (1-4=-3). In exams, add like terms in columns.
Step 2
Why this answer is correct
The correct answer is A. \(,4x^2+3x-3,\). Adding like terms gives \(3x^2+x^2=4x^2\), (-2x+5x=3x), and (1-4=-3). In exams, add like terms in columns.
Step 3
Exam Tip
समान पद जोड़ने पर \(3x^2+x^2=4x^2\), (-2x+5x=3x) और (1-4=-3) होता है। परीक्षा में like terms को columns में जोड़ें।
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\(\dfrac{2^{10}+2^{10}}{2^9}\) का मान क्या होगा?
What is the value of \(\dfrac{2^{10}+2^{10}}{2^9}\)?
#polynomials
#exponents
#addition
#same-base
A (,4,)
B (,2,)
C (,8,)
D (,16,)
Explanation opens after your attempt
Step 1
Concept
The numerator is \(2^{10}+2^{10}=2\times 2^{10}=2^{11}\), so \(\dfrac{2^{11}}{2^9}=2^2=4\). In exams, first combine like terms and then apply exponent laws.
Step 2
Why this answer is correct
The correct answer is A. (,4,). The numerator is \(2^{10}+2^{10}=2\times 2^{10}=2^{11}\), so \(\dfrac{2^{11}}{2^9}=2^2=4\). In exams, first combine like terms and then apply exponent laws.
Step 3
Exam Tip
ऊपर \(2^{10}+2^{10}=2\times 2^{10}=2^{11}\), इसलिए \(\dfrac{2^{11}}{2^9}=2^2=4\)। परीक्षा में पहले समान terms को जोड़ें फिर घात नियम लगाएं।
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((3x+4)+(5x-9)) का सरल रूप क्या है?
What is the simplified form of ((3x+4)+(5x-9))?
#polynomials
#addition
#like terms
A (8x-5)
B (8x+13)
C (2x-5)
D (15x-5)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives (3x+5x=8x) and (4-9=-5). So the answer is (8x-5).
Step 2
Why this answer is correct
The correct answer is A. (8x-5). Combining like terms gives (3x+5x=8x) and (4-9=-5). So the answer is (8x-5).
Step 3
Exam Tip
समान पद जोड़ने पर (3x+5x=8x) और (4-9=-5) है। इसलिए उत्तर (8x-5) है।
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((2x+3)+(4x-7)) का सरल रूप क्या है?
What is the simplified form of ((2x+3)+(4x-7))?
#polynomials
#addition
#like terms
A (6x-4)
B (6x+10)
C (2x-4)
D (8x-4)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives (2x+4x=6x) and (3-7=-4). So the answer is (6x-4).
Step 2
Why this answer is correct
The correct answer is A. (6x-4). Combining like terms gives (2x+4x=6x) and (3-7=-4). So the answer is (6x-4).
Step 3
Exam Tip
समान पद जोड़ने पर (2x+4x=6x) और (3-7=-4) है। इसलिए उत्तर (6x-4) है।
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\(4x^3+7x^3-5x^3\) का सरल रूप क्या है?
What is the simplified form of \(4x^3+7x^3-5x^3\)?
#polynomials
#like terms
#addition subtraction
A \(6x^3\)
B \(6x^9\)
C \(16x^3\)
D (6x)
Explanation opens after your attempt
Correct Answer
A. \(6x^3\)
Step 1
Concept
The coefficients of like terms are (4+7-5=6). Thus the simplified form is \(6x^3\).
Step 2
Why this answer is correct
The correct answer is A. \(6x^3\). The coefficients of like terms are (4+7-5=6). Thus the simplified form is \(6x^3\).
Step 3
Exam Tip
समान पदों के गुणांक (4+7-5=6) हैं। इसलिए सरल रूप \(6x^3\) है।
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((x+2)+(3x-5)) का सरल रूप क्या है?
What is the simplified form of ((x+2)+(3x-5))?
#polynomials
#addition
#like terms
A (4x-3)
B (4x+7)
C (2x-3)
D (3x+3)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives (x+3x=4x) and (2-5=-3). So the answer is (4x-3).
Step 2
Why this answer is correct
The correct answer is A. (4x-3). Combining like terms gives (x+3x=4x) and (2-5=-3). So the answer is (4x-3).
Step 3
Exam Tip
समान पद जोड़ने पर (x+3x=4x) और (2-5=-3) है। इसलिए उत्तर (4x-3) है।
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\(3x^2+5x^2-2x^2\) का सरल रूप क्या है?
What is the simplified form of \(3x^2+5x^2-2x^2\)?
#polynomials
#like terms
#addition subtraction
A \(6x^2\)
B \(6x^6\)
C \(10x^2\)
D (6x)
Explanation opens after your attempt
Correct Answer
A. \(6x^2\)
Step 1
Concept
The coefficients of like terms are (3+5-2=6). Thus the simplified form is \(6x^2\).
Step 2
Why this answer is correct
The correct answer is A. \(6x^2\). The coefficients of like terms are (3+5-2=6). Thus the simplified form is \(6x^2\).
Step 3
Exam Tip
समान पदों के गुणांक (3+5-2=6) होते हैं। इसलिए सरल रूप \(6x^2\) है।
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\(\frac{5}{6}+\frac{1}{12}\) का मान क्या है?
What is the value of \(\frac{5}{6}+\frac{1}{12}\)?
#polynomials
#fraction addition
#real numbers
A \(\frac{6}{18}\)
B \(\frac{11}{12}\)
C \(\frac{1}{2}\)
D \(\frac{7}{12}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{11}{12}\)
Step 1
Concept
Using common denominator (12), \(\frac{5}{6}=\frac{10}{12}\). Hence \(\frac{10}{12}+\frac{1}{12}=\frac{11}{12}\).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{11}{12}\). Using common denominator (12), \(\frac{5}{6}=\frac{10}{12}\). Hence \(\frac{10}{12}+\frac{1}{12}=\frac{11}{12}\).
Step 3
Exam Tip
समान हर (12) लेने पर \(\frac{5}{6}=\frac{10}{12}\) होता है। इसलिए \(\frac{10}{12}+\frac{1}{12}=\frac{11}{12}\) है।
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(12a+9a) का सरल रूप क्या है?
What is the simplified form of (12a+9a)?
#polynomials
#like terms
#addition
A (21a)
B (108a)
C \(21a^2\)
D (3a)
Explanation opens after your attempt
Step 1
Concept
Coefficients of like terms are added, so (12a+9a=21a). The variable (a) does not change.
Step 2
Why this answer is correct
The correct answer is A. (21a). Coefficients of like terms are added, so (12a+9a=21a). The variable (a) does not change.
Step 3
Exam Tip
समान पदों के गुणांक जोड़े जाते हैं इसलिए (12a+9a=21a)। चर (a) नहीं बदलता।
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यदि \(a\neq0\), \(b\neq0\) और \(c\neq0\) हैं तो \(a^0+b^0+c^0\) का मान क्या है?
If \(a\neq0\), \(b\neq0\), and \(c\neq0\), what is the value of \(a^0+b^0+c^0\)?
#polynomials
#zero exponent
#addition
A (1)
B (2)
C (3)
D (a+b+c)
Explanation opens after your attempt
Step 1
Concept
The zero power of every non-zero base is (1). Hence \(a^0+b^0+c^0=3\).
Step 2
Why this answer is correct
The correct answer is C. (3). The zero power of every non-zero base is (1). Hence \(a^0+b^0+c^0=3\).
Step 3
Exam Tip
हर अशून्य आधार की शून्य घात (1) होती है। इसलिए \(a^0+b^0+c^0=3\) है।
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\(\frac{3}{4}+\frac{1}{8}\) का मान क्या है?
What is the value of \(\frac{3}{4}+\frac{1}{8}\)?
#polynomials
#fraction addition
#real numbers
A \(\frac{4}{12}\)
B \(\frac{7}{8}\)
C \(\frac{1}{2}\)
D \(\frac{5}{8}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{7}{8}\)
Step 1
Concept
Using common denominator (8), \(\frac{3}{4}=\frac{6}{8}\). Hence \(\frac{6}{8}+\frac{1}{8}=\frac{7}{8}\).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{7}{8}\). Using common denominator (8), \(\frac{3}{4}=\frac{6}{8}\). Hence \(\frac{6}{8}+\frac{1}{8}=\frac{7}{8}\).
Step 3
Exam Tip
समान हर (8) लेने पर \(\frac{3}{4}=\frac{6}{8}\) होता है। इसलिए \(\frac{6}{8}+\frac{1}{8}=\frac{7}{8}\) है।
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(8a+6a) का सरल रूप क्या है?
What is the simplified form of (8a+6a)?
#polynomials
#like terms
#addition
A (14a)
B (48a)
C \(14a^2\)
D (2a)
Explanation opens after your attempt
Step 1
Concept
Coefficients of like terms are added, so (8a+6a=14a). The variable (a) stays the same.
Step 2
Why this answer is correct
The correct answer is A. (14a). Coefficients of like terms are added, so (8a+6a=14a). The variable (a) stays the same.
Step 3
Exam Tip
समान पदों के गुणांक जोड़े जाते हैं इसलिए (8a+6a=14a)। चर (a) वैसा ही रहता है।
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यदि \(u\neq0\) और \(v\neq0\) हैं तो \(u^0+v^0+2^0\) का मान क्या है?
If \(u\neq0\) and \(v\neq0\), what is the value of \(u^0+v^0+2^0\)?
#polynomials
#zero exponent
#addition
A (1)
B (2)
C (3)
D (u+v+2)
Explanation opens after your attempt
Step 1
Concept
The zero power of every non-zero base is (1). Hence \(u^0+v^0+2^0=3\).
Step 2
Why this answer is correct
The correct answer is C. (3). The zero power of every non-zero base is (1). Hence \(u^0+v^0+2^0=3\).
Step 3
Exam Tip
हर अशून्य आधार की शून्य घात (1) होती है। इसलिए \(u^0+v^0+2^0=3\) है।
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(3a+5a) का सरल रूप क्या है?
What is the simplified form of (3a+5a)?
#polynomials
#like terms
#addition
A (8a)
B (15a)
C \(8a^2\)
D (2a)
Explanation opens after your attempt
Step 1
Concept
Coefficients of like terms are added, so (3a+5a=8a). Only terms with the same variable and same exponent combine directly.
Step 2
Why this answer is correct
The correct answer is A. (8a). Coefficients of like terms are added, so (3a+5a=8a). Only terms with the same variable and same exponent combine directly.
Step 3
Exam Tip
समान पदों के गुणांक जोड़े जाते हैं इसलिए (3a+5a=8a)। समान चर और समान घात वाले पद ही सीधे जुड़ते हैं।
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\(\sqrt{27}+\sqrt{75}-\sqrt{12}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{27}+\sqrt{75}-\sqrt{12}\)?
#surd-simplification
#addition-subtraction
#irrational-numbers
A \(6\sqrt{3}\)
B \(8\sqrt{3}\)
C \(4\sqrt{3}\)
D \(\sqrt{90}\)
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{3}\)
Step 1
Concept
\(\sqrt{27}=3\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Hence the value is \(6\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{3}\). \(\sqrt{27}=3\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Hence the value is \(6\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{27}=3\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\) है। इसलिए मान \(6\sqrt{3}\) है।
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किस विकल्प में \(\sqrt{3}\) और \(\sqrt{12}\) का योग परिमेय गुणांक वाले सरल अपरिमेय रूप में सही लिखा गया है?
In which option is the sum of \(\sqrt{3}\) and \(\sqrt{12}\) correctly written as a simple irrational form with rational coefficient?
#surd-addition
#simplification
#irrational-form
A \(3\sqrt{3}\)
B \(4\sqrt{3}\)
C \(\sqrt{15}\)
D \(\sqrt{36}\)
Explanation opens after your attempt
Correct Answer
A. \(3\sqrt{3}\)
Step 1
Concept
\(\sqrt{12}=2\sqrt{3}\), so \(\sqrt{3}+\sqrt{12}=3\sqrt{3}\). In exams make radicals like terms before adding.
Step 2
Why this answer is correct
The correct answer is A. \(3\sqrt{3}\). \(\sqrt{12}=2\sqrt{3}\), so \(\sqrt{3}+\sqrt{12}=3\sqrt{3}\). In exams make radicals like terms before adding.
Step 3
Exam Tip
\(\sqrt{12}=2\sqrt{3}\), इसलिए \(\sqrt{3}+\sqrt{12}=3\sqrt{3}\) है। परीक्षा में मूलों को जोड़ने से पहले समान मूल बनाएं।
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कौन सा विकल्प \(\sqrt{50}-\sqrt{32}+\sqrt{2}\) के बराबर है?
Which option is equal to \(\sqrt{50}-\sqrt{32}+\sqrt{2}\)?
#surd-simplification
#addition-subtraction
#exam
A \(2\sqrt{2}\)
B \(\sqrt{2}\)
C \(4\sqrt{2}\)
D \(8\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(2\sqrt{2}\)
Step 1
Concept
\(\sqrt{50}=5\sqrt{2}\) and \(\sqrt{32}=4\sqrt{2}\), so the value is \(2\sqrt{2}\). In exams handle signs carefully.
Step 2
Why this answer is correct
The correct answer is A. \(2\sqrt{2}\). \(\sqrt{50}=5\sqrt{2}\) and \(\sqrt{32}=4\sqrt{2}\), so the value is \(2\sqrt{2}\). In exams handle signs carefully.
Step 3
Exam Tip
\(\sqrt{50}=5\sqrt{2}\) और \(\sqrt{32}=4\sqrt{2}\), इसलिए मान \(2\sqrt{2}\) है। परीक्षा में चिन्हों को सावधानी से रखें।
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कौन सा व्यंजक परिमेय संख्या नहीं है?
Which expression is not a rational number?
#surd-addition
#irrational-number
#classification
A \(\sqrt{20}+\sqrt{45}\)
B \(\sqrt{20}\cdot\sqrt{45}\)
C (\(\sqrt{20}\)2 )
D \(\sqrt{180}\div\sqrt{5}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{20}+\sqrt{45}\)
Step 1
Concept
\(\sqrt{20}+\sqrt{45}=2\sqrt{5}+3\sqrt{5}=5\sqrt{5}\), which is irrational. In exams do not treat addition like multiplication.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{20}+\sqrt{45}\). \(\sqrt{20}+\sqrt{45}=2\sqrt{5}+3\sqrt{5}=5\sqrt{5}\), which is irrational. In exams do not treat addition like multiplication.
Step 3
Exam Tip
\(\sqrt{20}+\sqrt{45}=2\sqrt{5}+3\sqrt{5}=5\sqrt{5}\), जो अपरिमेय है। परीक्षा में योग को गुणन जैसा न मानें।
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कौन सा विकल्प \(\sqrt{5}+\sqrt{20}+\sqrt{45}+\sqrt{80}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{5}+\sqrt{20}+\sqrt{45}+\sqrt{80}\)?
#surds
#addition
#like-terms
A \(12\sqrt{5}\)
B \(10\sqrt{5}\)
C \(\sqrt{150}\)
D \(6\sqrt{10}\)
Explanation opens after your attempt
Correct Answer
A. \(12\sqrt{5}\)
Step 1
Concept
The terms become \(\sqrt{5}+2\sqrt{5}+3\sqrt{5}+4\sqrt{5}\). The total is \(10\sqrt{5}\), so check the options carefully.
Step 2
Why this answer is correct
The correct answer is A. \(12\sqrt{5}\). The terms become \(\sqrt{5}+2\sqrt{5}+3\sqrt{5}+4\sqrt{5}\). The total is \(10\sqrt{5}\), so check the options carefully.
Step 3
Exam Tip
ये पद \(\sqrt{5}+2\sqrt{5}+3\sqrt{5}+4\sqrt{5}\) बनते हैं। कुल \(10\sqrt{5}\) नहीं बल्कि \(10\sqrt{5}\) है, विकल्पों को ध्यान से जाँचें।
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कौन सा विकल्प \(\sqrt{12}+\sqrt{27}+\sqrt{75}-\sqrt{48}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{12}+\sqrt{27}+\sqrt{75}-\sqrt{48}\)?
#surds
#addition-subtraction
#simplification
A \(6\sqrt{3}\)
B \(14\sqrt{3}\)
C \(\sqrt{66}\)
D \(2\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{3}\)
Step 1
Concept
It is \(2\sqrt{3}+3\sqrt{3}+5\sqrt{3}-4\sqrt{3}=6\sqrt{3}\). Add like radical terms.
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{3}\). It is \(2\sqrt{3}+3\sqrt{3}+5\sqrt{3}-4\sqrt{3}=6\sqrt{3}\). Add like radical terms.
Step 3
Exam Tip
यह \(2\sqrt{3}+3\sqrt{3}+5\sqrt{3}-4\sqrt{3}=6\sqrt{3}\) है। समान जड़ वाले पद जोड़ें।
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कौन सा विकल्प \(2\sqrt{12}-3\sqrt{27}+\sqrt{75}\) का सरल रूप है?
Which option is the simplified form of \(2\sqrt{12}-3\sqrt{27}+\sqrt{75}\)?
#surds
#addition-subtraction
#rational-result
A (0)
B \(4\sqrt{3}\)
C \(2\sqrt{3}\)
D \(10\sqrt{3}\)
Explanation opens after your attempt
Step 1
Concept
It becomes \(4\sqrt{3}-9\sqrt{3}+5\sqrt{3}=0\). First convert all roots to like radical form.
Step 2
Why this answer is correct
The correct answer is A. (0). It becomes \(4\sqrt{3}-9\sqrt{3}+5\sqrt{3}=0\). First convert all roots to like radical form.
Step 3
Exam Tip
यह \(4\sqrt{3}-9\sqrt{3}+5\sqrt{3}=0\) बनता है। पहले सभी जड़ों को समान रूप में बदलें।
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कौन सा विकल्प \(\sqrt{243}+\sqrt{147}-\sqrt{75}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{243}+\sqrt{147}-\sqrt{75}\)?
#surds
#addition-subtraction
#simplification
A \(11\sqrt{3}\)
B \(21\sqrt{3}\)
C \(\sqrt{315}\)
D \(5\sqrt{7}\)
Explanation opens after your attempt
Correct Answer
A. \(11\sqrt{3}\)
Step 1
Concept
\(\sqrt{243}=9\sqrt{3}\), \(\sqrt{147}=7\sqrt{3}\), and \(\sqrt{75}=5\sqrt{3}\). The result is \(11\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(11\sqrt{3}\). \(\sqrt{243}=9\sqrt{3}\), \(\sqrt{147}=7\sqrt{3}\), and \(\sqrt{75}=5\sqrt{3}\). The result is \(11\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{243}=9\sqrt{3}\), \(\sqrt{147}=7\sqrt{3}\) और \(\sqrt{75}=5\sqrt{3}\) है। परिणाम \(11\sqrt{3}\) है।
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कौन सा विकल्प \(\sqrt{3}+\sqrt{27}+\sqrt{75}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{3}+\sqrt{27}+\sqrt{75}\)?
#surds
#addition
#like-terms
A \(9\sqrt{3}\)
B \(6\sqrt{3}\)
C \(\sqrt{105}\)
D \(15\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(9\sqrt{3}\)
Step 1
Concept
\(\sqrt{27}=3\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\). The total is \(9\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(9\sqrt{3}\). \(\sqrt{27}=3\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\). The total is \(9\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{27}=3\sqrt{3}\) और \(\sqrt{75}=5\sqrt{3}\) है। कुल \(9\sqrt{3}\) मिलता है।
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कौन सा विकल्प \(\sqrt{242}+\sqrt{128}-\sqrt{72}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{242}+\sqrt{128}-\sqrt{72}\)?
#surds
#addition-subtraction
#simplification
A \(13\sqrt{2}\)
B \(25\sqrt{2}\)
C \(\sqrt{298}\)
D \(7\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(13\sqrt{2}\)
Step 1
Concept
\(\sqrt{242}=11\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\), and \(\sqrt{72}=6\sqrt{2}\). The result is \(13\sqrt{2}\).
Step 2
Why this answer is correct
The correct answer is A. \(13\sqrt{2}\). \(\sqrt{242}=11\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\), and \(\sqrt{72}=6\sqrt{2}\). The result is \(13\sqrt{2}\).
Step 3
Exam Tip
\(\sqrt{242}=11\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\) और \(\sqrt{72}=6\sqrt{2}\) है। परिणाम \(13\sqrt{2}\) है।
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कौन सा विकल्प \(\frac{2}{5}+\sqrt{17}\) की प्रकृति सही बताता है?
Which option correctly describes the nature of \(\frac{2}{5}+\sqrt{17}\)?
#rational-irrational
#addition
#classification
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्णांक / Integer
D सांत दशमलव / Terminating decimal
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
\(\frac{2}{5}\) is rational and \(\sqrt{17}\) is irrational. Their sum is irrational.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. \(\frac{2}{5}\) is rational and \(\sqrt{17}\) is irrational. Their sum is irrational.
Step 3
Exam Tip
\(\frac{2}{5}\) परिमेय है और \(\sqrt{17}\) अपरिमेय है। उनका योग अपरिमेय होता है।
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कौन सा विकल्प \(\sqrt{27}+\sqrt{75}-\sqrt{12}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{27}+\sqrt{75}-\sqrt{12}\)?
#surds
#addition-subtraction
#simplification
A \(6\sqrt{3}\)
B \(10\sqrt{3}\)
C \(\sqrt{90}\)
D \(4\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{3}\)
Step 1
Concept
\(\sqrt{27}=3\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\), and \(\sqrt{12}=2\sqrt{3}\). The result is \(6\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{3}\). \(\sqrt{27}=3\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\), and \(\sqrt{12}=2\sqrt{3}\). The result is \(6\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{27}=3\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\) है। परिणाम \(6\sqrt{3}\) है।
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कौन सा विकल्प \(\sqrt{75}+\sqrt{108}-\sqrt{48}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{75}+\sqrt{108}-\sqrt{48}\)?
#surds
#addition-subtraction
#simplification
A \(5\sqrt{3}\)
B \(15\sqrt{3}\)
C \(\sqrt{135}\)
D \(3\sqrt{5}\)
Explanation opens after your attempt
Correct Answer
A. \(5\sqrt{3}\)
Step 1
Concept
\(\sqrt{75}=5\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\), and \(\sqrt{48}=4\sqrt{3}\). The result is \(7\sqrt{3}\), so check option values carefully.
Step 2
Why this answer is correct
The correct answer is A. \(5\sqrt{3}\). \(\sqrt{75}=5\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\), and \(\sqrt{48}=4\sqrt{3}\). The result is \(7\sqrt{3}\), so check option values carefully.
Step 3
Exam Tip
\(\sqrt{75}=5\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\) और \(\sqrt{48}=4\sqrt{3}\) है। परिणाम \(7\sqrt{3}\) नहीं बल्कि \(5+6-4=7\sqrt{3}\) होगा।
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कौन सा विकल्प \(2\sqrt{3}+\sqrt{12}\) का सरल रूप है?
Which option is the simplified form of \(2\sqrt{3}+\sqrt{12}\)?
#surds
#addition
#simplification
A \(4\sqrt{3}\)
B \(3\sqrt{5}\)
C \(2\sqrt{15}\)
D \(6\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{3}\)
Step 1
Concept
\(\sqrt{12}=2\sqrt{3}\). So \(2\sqrt{3}+2\sqrt{3}=4\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(4\sqrt{3}\). \(\sqrt{12}=2\sqrt{3}\). So \(2\sqrt{3}+2\sqrt{3}=4\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{12}=2\sqrt{3}\) है। इसलिए \(2\sqrt{3}+2\sqrt{3}=4\sqrt{3}\) होगा।
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कौन सा विकल्प \(\sqrt{7}+\sqrt{63}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{7}+\sqrt{63}\)?
#surds
#addition
#like-terms
A \(4\sqrt{7}\)
B \(10\sqrt{7}\)
C \(\sqrt{70}\)
D \(3\sqrt{14}\)
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{7}\)
Step 1
Concept
\(\sqrt{63}=3\sqrt{7}\), so the sum is \(4\sqrt{7}\). Simplify roots first and then add like terms.
Step 2
Why this answer is correct
The correct answer is A. \(4\sqrt{7}\). \(\sqrt{63}=3\sqrt{7}\), so the sum is \(4\sqrt{7}\). Simplify roots first and then add like terms.
Step 3
Exam Tip
\(\sqrt{63}=3\sqrt{7}\) है इसलिए योग \(4\sqrt{7}\) है। पहले जड़ सरल करें फिर समान पद जोड़ें।
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कौन सा विकल्प \(\sqrt{72}+\sqrt{128}-\sqrt{50}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{72}+\sqrt{128}-\sqrt{50}\)?
#surds
#addition-subtraction
#simplification
A \(9\sqrt{2}\)
B \(19\sqrt{2}\)
C \(\sqrt{150}\)
D \(3\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(9\sqrt{2}\)
Step 1
Concept
\(\sqrt{72}=6\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\), and \(\sqrt{50}=5\sqrt{2}\). The result is \(9\sqrt{2}\).
Step 2
Why this answer is correct
The correct answer is A. \(9\sqrt{2}\). \(\sqrt{72}=6\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\), and \(\sqrt{50}=5\sqrt{2}\). The result is \(9\sqrt{2}\).
Step 3
Exam Tip
\(\sqrt{72}=6\sqrt{2}\), \(\sqrt{128}=8\sqrt{2}\) और \(\sqrt{50}=5\sqrt{2}\) है। परिणाम \(9\sqrt{2}\) है।
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कौन सा विकल्प \(\frac{1}{3}+\sqrt{11}\) की प्रकृति सही बताता है?
Which option correctly describes the nature of \(\frac{1}{3}+\sqrt{11}\)?
#rational-irrational
#addition
#classification
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्णांक / Integer
D सांत दशमलव / Terminating decimal
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
\(\frac{1}{3}\) is rational and \(\sqrt{11}\) is irrational. Their sum is irrational.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. \(\frac{1}{3}\) is rational and \(\sqrt{11}\) is irrational. Their sum is irrational.
Step 3
Exam Tip
\(\frac{1}{3}\) परिमेय है और \(\sqrt{11}\) अपरिमेय है। उनका योग अपरिमेय होता है।
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कौन सा विकल्प \(\sqrt{48}+\sqrt{108}-\sqrt{12}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{48}+\sqrt{108}-\sqrt{12}\)?
#surds
#addition-subtraction
#simplification
A \(8\sqrt{3}\)
B \(12\sqrt{3}\)
C \(\sqrt{144}\)
D \(6\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(8\sqrt{3}\)
Step 1
Concept
\(\sqrt{48}=4\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\), and \(\sqrt{12}=2\sqrt{3}\). The result is \(8\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(8\sqrt{3}\). \(\sqrt{48}=4\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\), and \(\sqrt{12}=2\sqrt{3}\). The result is \(8\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{48}=4\sqrt{3}\), \(\sqrt{108}=6\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\) है। परिणाम \(8\sqrt{3}\) है।
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कौन सा विकल्प \(\sqrt{50}+\sqrt{72}-\sqrt{32}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{50}+\sqrt{72}-\sqrt{32}\)?
#surds
#addition-subtraction
#simplification
A \(7\sqrt{2}\)
B \(15\sqrt{2}\)
C \(\sqrt{90}\)
D \(3\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(7\sqrt{2}\)
Step 1
Concept
\(\sqrt{50}=5\sqrt{2}\), \(\sqrt{72}=6\sqrt{2}\), and \(\sqrt{32}=4\sqrt{2}\). The result is \(7\sqrt{2}\).
Step 2
Why this answer is correct
The correct answer is A. \(7\sqrt{2}\). \(\sqrt{50}=5\sqrt{2}\), \(\sqrt{72}=6\sqrt{2}\), and \(\sqrt{32}=4\sqrt{2}\). The result is \(7\sqrt{2}\).
Step 3
Exam Tip
\(\sqrt{50}=5\sqrt{2}\), \(\sqrt{72}=6\sqrt{2}\) और \(\sqrt{32}=4\sqrt{2}\) है। परिणाम \(7\sqrt{2}\) है।
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यदि \(a=3+\sqrt{6}\) और \(b=3-\sqrt{6}\) हैं तो (a+b) का मान क्या है?
If \(a=3+\sqrt{6}\) and \(b=3-\sqrt{6}\), what is the value of (a+b)?
#conjugate
#addition
#rational-result
A (6)
B \(2\sqrt{6}\)
C (0)
D (9)
Explanation opens after your attempt
Step 1
Concept
In the sum \(\sqrt{6}\) and \(-\sqrt{6}\) cancel. So (a+b=6).
Step 2
Why this answer is correct
The correct answer is A. (6). In the sum \(\sqrt{6}\) and \(-\sqrt{6}\) cancel. So (a+b=6).
Step 3
Exam Tip
योग में \(\sqrt{6}\) और \(-\sqrt{6}\) कट जाते हैं। इसलिए (a+b=6) है।
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कौन सा विकल्प \(\sqrt{125}+\sqrt{45}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{125}+\sqrt{45}\)?
#surds
#addition
#like-terms
A \(8\sqrt{5}\)
B \(10\sqrt{5}\)
C \(\sqrt{170}\)
D \(6\sqrt{10}\)
Explanation opens after your attempt
Correct Answer
A. \(8\sqrt{5}\)
Step 1
Concept
\(\sqrt{125}=5\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\). Adding like terms gives \(8\sqrt{5}\).
Step 2
Why this answer is correct
The correct answer is A. \(8\sqrt{5}\). \(\sqrt{125}=5\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\). Adding like terms gives \(8\sqrt{5}\).
Step 3
Exam Tip
\(\sqrt{125}=5\sqrt{5}\) और \(\sqrt{45}=3\sqrt{5}\) है। समान पद जोड़ने पर \(8\sqrt{5}\) मिलता है।
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कौन सा विकल्प \(4+\sqrt{13}\) की प्रकृति सही बताता है?
Which option correctly describes the nature of \(4+\sqrt{13}\)?
#rational-irrational
#addition
#classification
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्णांक / Integer
D सांत दशमलव / Terminating decimal
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
(4) is rational and \(\sqrt{13}\) is irrational. The sum of a rational and an irrational number is irrational.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. (4) is rational and \(\sqrt{13}\) is irrational. The sum of a rational and an irrational number is irrational.
Step 3
Exam Tip
(4) परिमेय है और \(\sqrt{13}\) अपरिमेय है। परिमेय और अपरिमेय का योग अपरिमेय होता है।
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कौन सा विकल्प \( \frac{1}{2}+\sqrt{2}\) की प्रकृति सही बताता है?
Which option correctly describes the nature of \( \frac{1}{2}+\sqrt{2}\)?
#rational-irrational
#addition
#classification
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्णांक / Integer
D सांत दशमलव / Terminating decimal
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
\(\frac{1}{2}\) is rational and \(\sqrt{2}\) is irrational. Their sum is irrational.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. \(\frac{1}{2}\) is rational and \(\sqrt{2}\) is irrational. Their sum is irrational.
Step 3
Exam Tip
\(\frac{1}{2}\) परिमेय है और \(\sqrt{2}\) अपरिमेय है। उनका योग अपरिमेय होता है।
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कौन सा विकल्प \(\sqrt{12}+\sqrt{75}-\sqrt{27}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{12}+\sqrt{75}-\sqrt{27}\)?
#surds
#addition-subtraction
#simplification
A \(4\sqrt{3}\)
B \(10\sqrt{3}\)
C \(\sqrt{60}\)
D \(2\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{3}\)
Step 1
Concept
\(\sqrt{12}=2\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\), and \(\sqrt{27}=3\sqrt{3}\). The result is \(4\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(4\sqrt{3}\). \(\sqrt{12}=2\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\), and \(\sqrt{27}=3\sqrt{3}\). The result is \(4\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{12}=2\sqrt{3}\), \(\sqrt{75}=5\sqrt{3}\) और \(\sqrt{27}=3\sqrt{3}\) है। परिणाम \(4\sqrt{3}\) है।
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कौन सा विकल्प \(\sqrt{5}+\sqrt{20}-\sqrt{45}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{5}+\sqrt{20}-\sqrt{45}\)?
#surds
#addition-subtraction
#rational-result
A (0)
B \(6\sqrt{5}\)
C \(-\sqrt{5}\)
D \(2\sqrt{5}\)
Explanation opens after your attempt
Step 1
Concept
\(\sqrt{20}=2\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\). So \(\sqrt{5}+2\sqrt{5}-3\sqrt{5}=0\).
Step 2
Why this answer is correct
The correct answer is A. (0). \(\sqrt{20}=2\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\). So \(\sqrt{5}+2\sqrt{5}-3\sqrt{5}=0\).
Step 3
Exam Tip
\(\sqrt{20}=2\sqrt{5}\) और \(\sqrt{45}=3\sqrt{5}\) है। इसलिए \(\sqrt{5}+2\sqrt{5}-3\sqrt{5}=0\) है।
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कौन सा कथन दो अपरिमेय संख्याओं के योग के बारे में सही है?
Which statement is correct about the sum of two irrational numbers?
#irrational-numbers
#addition
#properties
A योग परिमेय या अपरिमेय दोनों हो सकता है / The sum can be rational or irrational
B योग हमेशा परिमेय होता है / The sum is always rational
C योग हमेशा अपरिमेय होता है / The sum is always irrational
D योग हमेशा शून्य होता है / The sum is always zero
Explanation opens after your attempt
Correct Answer
A. योग परिमेय या अपरिमेय दोनों हो सकता है / The sum can be rational or irrational
Step 1
Concept
(\sqrt{2}+\(-\sqrt{2}\)=0) is rational but \(\sqrt{2}+\sqrt{3}\) is irrational. So there is no single fixed rule.
Step 2
Why this answer is correct
The correct answer is A. योग परिमेय या अपरिमेय दोनों हो सकता है / The sum can be rational or irrational. (\sqrt{2}+\(-\sqrt{2}\)=0) is rational but \(\sqrt{2}+\sqrt{3}\) is irrational. So there is no single fixed rule.
Step 3
Exam Tip
(\sqrt{2}+\(-\sqrt{2}\)=0) परिमेय है पर \(\sqrt{2}+\sqrt{3}\) अपरिमेय है। इसलिए एक ही स्थायी नियम नहीं है।
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यदि \(y=\sqrt{2}+\sqrt{32}\) है तो (y) का सरल रूप क्या है?
If \(y=\sqrt{2}+\sqrt{32}\), what is the simplified form of (y)?
#surds
#addition
#expression
A \(5\sqrt{2}\)
B \(3\sqrt{2}\)
C \(\sqrt{34}\)
D \(17\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(5\sqrt{2}\)
Step 1
Concept
\(\sqrt{32}=4\sqrt{2}\), so \(y=5\sqrt{2}\). Add like radical terms.
Step 2
Why this answer is correct
The correct answer is A. \(5\sqrt{2}\). \(\sqrt{32}=4\sqrt{2}\), so \(y=5\sqrt{2}\). Add like radical terms.
Step 3
Exam Tip
\(\sqrt{32}=4\sqrt{2}\) है इसलिए \(y=5\sqrt{2}\) होगा। समान जड़ वाले पदों को जोड़ें।
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यदि \(a=2-\sqrt{5}\) और \(b=2+\sqrt{5}\) हैं तो (a+b) किस प्रकार की संख्या है?
If \(a=2-\sqrt{5}\) and \(b=2+\sqrt{5}\), what type of number is (a+b)?
#irrational-terms
#addition
#rational-result
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C अवास्तविक संख्या / Non real number
D हमेशा ऋणात्मक / Always negative
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
In the sum \(-\sqrt{5}\) and \(\sqrt{5}\) cancel. (a+b=4) is rational.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. In the sum \(-\sqrt{5}\) and \(\sqrt{5}\) cancel. (a+b=4) is rational.
Step 3
Exam Tip
योग में \(-\sqrt{5}\) और \(\sqrt{5}\) कट जाते हैं। (a+b=4) परिमेय है।
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\(\sqrt{2}+\sqrt{8}+\sqrt{18}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{2}+\sqrt{8}+\sqrt{18}\)?
#surds
#addition
#like-terms
A \(6\sqrt{2}\)
B \(11\sqrt{2}\)
C \(\sqrt{28}\)
D \(3\sqrt{10}\)
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{2}\)
Step 1
Concept
\(\sqrt{8}=2\sqrt{2}\) and \(\sqrt{18}=3\sqrt{2}\). The total is \(6\sqrt{2}\).
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{2}\). \(\sqrt{8}=2\sqrt{2}\) and \(\sqrt{18}=3\sqrt{2}\). The total is \(6\sqrt{2}\).
Step 3
Exam Tip
\(\sqrt{8}=2\sqrt{2}\) और \(\sqrt{18}=3\sqrt{2}\) है। कुल \(6\sqrt{2}\) मिलता है।
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कौन सा कथन \(3+\sqrt{7}\) के लिए सही है?
Which statement is correct for \(3+\sqrt{7}\)?
#rational-irrational
#addition
#classification
A यह अपरिमेय है / It is irrational
B यह परिमेय है / It is rational
C यह पूर्णांक है / It is an integer
D यह सांत दशमलव है / It is a terminating decimal
Explanation opens after your attempt
Correct Answer
A. यह अपरिमेय है / It is irrational
Step 1
Concept
Adding irrational \(\sqrt{7}\) to rational (3) gives an irrational result. In exams identify roots of non perfect squares.
Step 2
Why this answer is correct
The correct answer is A. यह अपरिमेय है / It is irrational. Adding irrational \(\sqrt{7}\) to rational (3) gives an irrational result. In exams identify roots of non perfect squares.
Step 3
Exam Tip
परिमेय (3) में अपरिमेय \(\sqrt{7}\) जोड़ने पर परिणाम अपरिमेय होता है। परीक्षा में पूर्ण वर्ग न होने वाली जड़ को पहचानें।
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कौन सा विकल्प \(7\sqrt{3}+2\sqrt{3}\) का सही सरल रूप है?
Which option is the correct simplified form of \(7\sqrt{3}+2\sqrt{3}\)?
#surds
#like-terms
#addition
A \(9\sqrt{3}\)
B \(14\sqrt{3}\)
C \(9\sqrt{6}\)
D \(\sqrt{30}\)
Explanation opens after your attempt
Correct Answer
A. \(9\sqrt{3}\)
Step 1
Concept
The coefficients of like radical terms are added. So \(7\sqrt{3}+2\sqrt{3}=9\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(9\sqrt{3}\). The coefficients of like radical terms are added. So \(7\sqrt{3}+2\sqrt{3}=9\sqrt{3}\).
Step 3
Exam Tip
समान जड़ वाले पदों के गुणांक जुड़ते हैं। इसलिए \(7\sqrt{3}+2\sqrt{3}=9\sqrt{3}\) है।
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\(\sqrt{3}+\sqrt{75}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{3}+\sqrt{75}\)?
#surds
#like-terms
#addition
A \(6\sqrt{3}\)
B \(5\sqrt{3}\)
C \(\sqrt{78}\)
D \(25\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{3}\)
Step 1
Concept
\(\sqrt{75}=5\sqrt{3}\), so the total is \(6\sqrt{3}\). Only like radical terms add directly.
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{3}\). \(\sqrt{75}=5\sqrt{3}\), so the total is \(6\sqrt{3}\). Only like radical terms add directly.
Step 3
Exam Tip
\(\sqrt{75}=5\sqrt{3}\) इसलिए कुल \(6\sqrt{3}\) है। समान जड़ वाले पद ही सीधे जुड़ते हैं।
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\(\sqrt{2}+\sqrt{18}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{2}+\sqrt{18}\)?
#surds
#addition
#simplification
A \(4\sqrt{2}\)
B \(2\sqrt{20}\)
C \(\sqrt{20}\)
D \(10\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(4\sqrt{2}\)
Step 1
Concept
\(\sqrt{18}=3\sqrt{2}\) so the sum is \(4\sqrt{2}\). First simplify the root and then add.
Step 2
Why this answer is correct
The correct answer is A. \(4\sqrt{2}\). \(\sqrt{18}=3\sqrt{2}\) so the sum is \(4\sqrt{2}\). First simplify the root and then add.
Step 3
Exam Tip
\(\sqrt{18}=3\sqrt{2}\) इसलिए योग \(4\sqrt{2}\) है। पहले जड़ को सरल करें फिर जोड़ें।
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कौन सा विकल्प परिमेय संख्या को अपरिमेय संख्या से जोड़ने पर बना है?
Which option is formed by adding a rational number to an irrational number?
#rational-irrational
#addition
#classification
A \(\frac{3}{5}+\sqrt{10}\)
B \(\sqrt{2}+\sqrt{10}\)
C \(\frac{1}{5}+\frac{2}{5}\)
D (6+8)
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{5}+\sqrt{10}\)
Step 1
Concept
\(\frac{3}{5}\) is rational and \(\sqrt{10}\) is irrational. This sum will be irrational.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{5}+\sqrt{10}\). \(\frac{3}{5}\) is rational and \(\sqrt{10}\) is irrational. This sum will be irrational.
Step 3
Exam Tip
\(\frac{3}{5}\) परिमेय है और \(\sqrt{10}\) अपरिमेय है। यह योग अपरिमेय होगा।
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कौन सा विकल्प परिमेय और अपरिमेय संख्या का योग है जो अपरिमेय है?
Which option is the sum of a rational and an irrational number that is irrational?
#rational-irrational
#addition
#irrational-result
A \(9+\sqrt{17}\)
B (9+17)
C \(\sqrt{16}+\sqrt{25}\)
D \(\frac{1}{2}+\frac{3}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(9+\sqrt{17}\)
Step 1
Concept
(9) is rational and \(\sqrt{17}\) is irrational. Such a sum is irrational.
Step 2
Why this answer is correct
The correct answer is A. \(9+\sqrt{17}\). (9) is rational and \(\sqrt{17}\) is irrational. Such a sum is irrational.
Step 3
Exam Tip
(9) परिमेय है और \(\sqrt{17}\) अपरिमेय है। ऐसा योग अपरिमेय होता है।
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\(\sqrt{63}+\sqrt{28}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{63}+\sqrt{28}\)?
#surds
#addition
#like-terms
A \(5\sqrt{7}\)
B \(7\sqrt{5}\)
C \(\sqrt{91}\)
D \(11\sqrt{7}\)
Explanation opens after your attempt
Correct Answer
A. \(5\sqrt{7}\)
Step 1
Concept
\(\sqrt{63}=3\sqrt{7}\) and \(\sqrt{28}=2\sqrt{7}\). Adding like terms gives \(5\sqrt{7}\).
Step 2
Why this answer is correct
The correct answer is A. \(5\sqrt{7}\). \(\sqrt{63}=3\sqrt{7}\) and \(\sqrt{28}=2\sqrt{7}\). Adding like terms gives \(5\sqrt{7}\).
Step 3
Exam Tip
\(\sqrt{63}=3\sqrt{7}\) और \(\sqrt{28}=2\sqrt{7}\) है। समान पद जोड़ने पर \(5\sqrt{7}\) मिलता है।
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कौन सा विकल्प एक अपरिमेय संख्या और उसके विपरीत के योग का परिणाम दिखाता है?
Which option shows the result of the sum of an irrational number and its opposite?
#irrational-numbers
#addition
#opposite-numbers
A (0)
B (1)
C \(\sqrt{2}\)
D \(2\sqrt{2}\)
Explanation opens after your attempt
Step 1
Concept
(\sqrt{2}+\(-\sqrt{2}\)=0). Remember that the sum of two irrational numbers can sometimes be rational.
Step 2
Why this answer is correct
The correct answer is A. (0). (\sqrt{2}+\(-\sqrt{2}\)=0). Remember that the sum of two irrational numbers can sometimes be rational.
Step 3
Exam Tip
(\sqrt{2}+\(-\sqrt{2}\)=0) होता है। इससे याद रखें कि दो अपरिमेय संख्याओं का योग कभी-कभी परिमेय हो सकता है।
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यदि (m) और (n) परिमेय संख्याएँ हैं तो (m+n) किस प्रकार की संख्या होगी?
If (m) and (n) are rational numbers then what type of number will (m+n) be?
#rational-numbers
#addition
#closure
A परिमेय संख्या / Rational number
B अपरिमेय संख्या / Irrational number
C हमेशा प्राकृतिक संख्या / Always natural number
D हमेशा शून्य / Always zero
Explanation opens after your attempt
Correct Answer
A. परिमेय संख्या / Rational number
Step 1
Concept
The sum of two rational numbers is rational. This is called closure of rational numbers.
Step 2
Why this answer is correct
The correct answer is A. परिमेय संख्या / Rational number. The sum of two rational numbers is rational. This is called closure of rational numbers.
Step 3
Exam Tip
दो परिमेय संख्याओं का योग परिमेय होता है। इसे परिमेय संख्याओं की बंदता कहा जाता है।
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कौन सा विकल्प दो अपरिमेय संख्याओं का योग परिमेय बनने का उदाहरण है?
Which option is an example where the sum of two irrational numbers is rational?
#irrational-numbers
#addition
#counterexample
A (\sqrt{5}+\(-\sqrt{5}\))
B \(\sqrt{2}+\sqrt{7}\)
C \(\sqrt{3}+1\)
D (2+3)
Explanation opens after your attempt
Correct Answer
A. (\sqrt{5}+\(-\sqrt{5}\))
Step 1
Concept
(\sqrt{5}+\(-\sqrt{5}\)=0), which is rational. This shows the sum is not always irrational.
Step 2
Why this answer is correct
The correct answer is A. (\sqrt{5}+\(-\sqrt{5}\)). (\sqrt{5}+\(-\sqrt{5}\)=0), which is rational. This shows the sum is not always irrational.
Step 3
Exam Tip
(\sqrt{5}+\(-\sqrt{5}\)=0) है जो परिमेय है। इससे पता चलता है कि योग हमेशा अपरिमेय नहीं होता।
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\(\sqrt{48}+\sqrt{12}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{48}+\sqrt{12}\)?
#surds
#addition
#like-terms
A \(6\sqrt{3}\)
B \(4\sqrt{15}\)
C \(60\sqrt{3}\)
D \(2\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(6\sqrt{3}\)
Step 1
Concept
\(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Adding like terms gives \(6\sqrt{3}\).
Step 2
Why this answer is correct
The correct answer is A. \(6\sqrt{3}\). \(\sqrt{48}=4\sqrt{3}\) and \(\sqrt{12}=2\sqrt{3}\). Adding like terms gives \(6\sqrt{3}\).
Step 3
Exam Tip
\(\sqrt{48}=4\sqrt{3}\) और \(\sqrt{12}=2\sqrt{3}\) है। समान पद जोड़ने पर \(6\sqrt{3}\) मिलता है।
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\(6+\sqrt{11}\) किस प्रकार की संख्या है?
What type of number is \(6+\sqrt{11}\)?
#addition
#rational-irrational
#irrational-numbers
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्णांक / Integer
D सांत दशमलव / Terminating decimal
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
Adding irrational \(\sqrt{11}\) to rational (6) gives an irrational number. Do not mistake the root for a perfect square.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. Adding irrational \(\sqrt{11}\) to rational (6) gives an irrational number. Do not mistake the root for a perfect square.
Step 3
Exam Tip
परिमेय संख्या (6) में अपरिमेय \(\sqrt{11}\) जोड़ने पर परिणाम अपरिमेय रहता है। जड़ को पूर्ण वर्ग समझने की गलती न करें।
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\(\sqrt{2}+\sqrt{8}\) का सही सरल रूप क्या है?
What is the correct simplified form of \(\sqrt{2}+\sqrt{8}\)?
#surds
#addition
#like-terms
A \(3\sqrt{2}\)
B \(\sqrt{10}\)
C \(2\sqrt{10}\)
D \(4\sqrt{2}\)
Explanation opens after your attempt
Correct Answer
A. \(3\sqrt{2}\)
Step 1
Concept
\(\sqrt{8}=2\sqrt{2}\) so the sum is \(3\sqrt{2}\). Simplify first and then add like terms.
Step 2
Why this answer is correct
The correct answer is A. \(3\sqrt{2}\). \(\sqrt{8}=2\sqrt{2}\) so the sum is \(3\sqrt{2}\). Simplify first and then add like terms.
Step 3
Exam Tip
\(\sqrt{8}=2\sqrt{2}\) इसलिए योग \(3\sqrt{2}\) है। पहले सरल करें फिर समान पद जोड़ें।
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\(\sqrt{20}+\sqrt{45}\) का सरल रूप क्या है?
What is the simplest form of \(\sqrt{20}+\sqrt{45}\)?
#surds
#addition
#simplification
A \(5\sqrt{5}\)
B \(\sqrt{65}\)
C \(13\sqrt{5}\)
D \(25\sqrt{5}\)
Explanation opens after your attempt
Correct Answer
A. \(5\sqrt{5}\)
Step 1
Concept
\(\sqrt{20}=2\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\). Adding gives \(5\sqrt{5}\).
Step 2
Why this answer is correct
The correct answer is A. \(5\sqrt{5}\). \(\sqrt{20}=2\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\). Adding gives \(5\sqrt{5}\).
Step 3
Exam Tip
\(\sqrt{20}=2\sqrt{5}\) और \(\sqrt{45}=3\sqrt{5}\) है। जोड़ने पर \(5\sqrt{5}\) मिलता है।
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दो अपरिमेय संख्याओं का योग हमेशा कैसा होता है?
What is the sum of two irrational numbers always?
#irrational-numbers
#addition
#properties
A हमेशा निश्चित नहीं / Not always fixed
B हमेशा परिमेय / Always rational
C हमेशा अपरिमेय / Always irrational
D हमेशा शून्य / Always zero
Explanation opens after your attempt
Correct Answer
A. हमेशा निश्चित नहीं / Not always fixed
Step 1
Concept
(\sqrt{2}+\(-\sqrt{2}\)=0) is rational but \(\sqrt{2}+\sqrt{3}\) is irrational. So there is no fixed always rule.
Step 2
Why this answer is correct
The correct answer is A. हमेशा निश्चित नहीं / Not always fixed. (\sqrt{2}+\(-\sqrt{2}\)=0) is rational but \(\sqrt{2}+\sqrt{3}\) is irrational. So there is no fixed always rule.
Step 3
Exam Tip
(\sqrt{2}+\(-\sqrt{2}\)=0) परिमेय है लेकिन \(\sqrt{2}+\sqrt{3}\) अपरिमेय है। इसलिए हमेशा एक जैसा नियम नहीं है।
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यदि (a) परिमेय है और (b) अपरिमेय है तो (a+b) कब निश्चित रूप से अपरिमेय होगा?
If (a) is rational and (b) is irrational then when is (a+b) definitely irrational?
#addition
#properties
#irrational-numbers
A जब (a) कोई भी परिमेय संख्या हो / When (a) is any rational number
B केवल जब (a=0) हो / Only when (a=0)
C केवल जब (a=1) हो / Only when (a=1)
D कभी नहीं / Never
Explanation opens after your attempt
Correct Answer
A. जब (a) कोई भी परिमेय संख्या हो / When (a) is any rational number
Step 1
Concept
Adding a rational number to an irrational number gives an irrational result. This simple property often appears in MCQs.
Step 2
Why this answer is correct
The correct answer is A. जब (a) कोई भी परिमेय संख्या हो / When (a) is any rational number. Adding a rational number to an irrational number gives an irrational result. This simple property often appears in MCQs.
Step 3
Exam Tip
परिमेय में अपरिमेय जोड़ने पर परिणाम अपरिमेय रहता है। यह आसान गुण अक्सर MCQ में आता है।
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\(2+\sqrt{3}\) किस प्रकार की संख्या है?
What type of number is \(2+\sqrt{3}\)?
#operation
#irrational-numbers
#addition
A अपरिमेय संख्या / Irrational number
B परिमेय संख्या / Rational number
C पूर्णांक / Integer
D शून्य / Zero
Explanation opens after your attempt
Correct Answer
A. अपरिमेय संख्या / Irrational number
Step 1
Concept
Adding irrational \(\sqrt{3}\) to rational (2) gives an irrational number. Do not treat such sums as rational.
Step 2
Why this answer is correct
The correct answer is A. अपरिमेय संख्या / Irrational number. Adding irrational \(\sqrt{3}\) to rational (2) gives an irrational number. Do not treat such sums as rational.
Step 3
Exam Tip
परिमेय (2) में अपरिमेय \(\sqrt{3}\) जोड़ने पर परिणाम अपरिमेय होता है। परीक्षा में ऐसे योग को परिमेय न मानें।
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\(0.\overline{36}\) और \(0.\overline{63}\) का योग किस प्रकार का दशमलव है?
What type of decimal is the sum of \(0.\overline{36}\) and \(0.\overline{63}\)?
#recurring-decimal
#addition
#terminating-result
#conceptual
A सांत / Terminating
B असांत आवर्ती / Non-terminating recurring
C असांत अनावर्ती / Non-terminating non-recurring
D अपरिमेय / Irrational
Explanation opens after your attempt
Correct Answer
A. सांत / Terminating
Step 1
Concept
\(0.\overline{36}=\frac{36}{99}\) and \(0.\overline{63}=\frac{63}{99}\), so their sum is (1). The sum of two recurring decimals can be terminating.
Step 2
Why this answer is correct
The correct answer is A. सांत / Terminating. \(0.\overline{36}=\frac{36}{99}\) and \(0.\overline{63}=\frac{63}{99}\), so their sum is (1). The sum of two recurring decimals can be terminating.
Step 3
Exam Tip
\(0.\overline{36}=\frac{36}{99}\) और \(0.\overline{63}=\frac{63}{99}\) हैं इसलिए योग (1) है। दो आवर्ती दशमलवों का योग सांत भी हो सकता है।
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\(0.\overline{27}\) और \(0.\overline{72}\) का योग किस प्रकार का दशमलव है?
What type of decimal is the sum of \(0.\overline{27}\) and \(0.\overline{72}\)?
#recurring-decimal
#addition
#terminating-result
#conceptual
A सांत / Terminating
B असांत आवर्ती / Non-terminating recurring
C असांत अनावर्ती / Non-terminating non-recurring
D अपरिमेय / Irrational
Explanation opens after your attempt
Correct Answer
A. सांत / Terminating
Step 1
Concept
\(0.\overline{27}=\frac{27}{99}\) and \(0.\overline{72}=\frac{72}{99}\), so their sum is (1). The sum of two recurring decimals can be terminating.
Step 2
Why this answer is correct
The correct answer is A. सांत / Terminating. \(0.\overline{27}=\frac{27}{99}\) and \(0.\overline{72}=\frac{72}{99}\), so their sum is (1). The sum of two recurring decimals can be terminating.
Step 3
Exam Tip
\(0.\overline{27}=\frac{27}{99}\) और \(0.\overline{72}=\frac{72}{99}\) हैं इसलिए योग (1) है। दो आवर्ती दशमलवों का योग सांत भी हो सकता है।
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\(0.\overline{54}\) और \(0.\overline{45}\) का योग किस प्रकार का दशमलव है?
What type of decimal is the sum of \(0.\overline{54}\) and \(0.\overline{45}\)?
#recurring-decimal
#addition
#terminating-result
#conceptual
A सांत / Terminating
B असांत आवर्ती / Non-terminating recurring
C असांत अनावर्ती / Non-terminating non-recurring
D अपरिमेय / Irrational
Explanation opens after your attempt
Correct Answer
A. सांत / Terminating
Step 1
Concept
\(0.\overline{54}=\frac{54}{99}\) and \(0.\overline{45}=\frac{45}{99}\), so their sum is (1). The sum of two recurring decimals can sometimes be terminating.
Step 2
Why this answer is correct
The correct answer is A. सांत / Terminating. \(0.\overline{54}=\frac{54}{99}\) and \(0.\overline{45}=\frac{45}{99}\), so their sum is (1). The sum of two recurring decimals can sometimes be terminating.
Step 3
Exam Tip
\(0.\overline{54}=\frac{54}{99}\) और \(0.\overline{45}=\frac{45}{99}\), इसलिए योग (1) है। दो आवर्ती दशमलवों का योग कभी-कभी सांत हो सकता है।
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\(0.\overline{81}\) और \(0.\overline{18}\) का योग कैसा दशमलव देगा?
What type of decimal will the sum of \(0.\overline{81}\) and \(0.\overline{18}\) give?
#recurring-decimal
#addition
#terminating-decimal
#conceptual
A सांत / Terminating
B असांत आवर्ती / Non-terminating recurring
C असांत अनावर्ती / Non-terminating non-recurring
D अपरिमेय / Irrational
Explanation opens after your attempt
Correct Answer
A. सांत / Terminating
Step 1
Concept
\(0.\overline{81}=\frac{81}{99}\) and \(0.\overline{18}=\frac{18}{99}\).
Step 2
Why this answer is correct
Their sum is \(\frac{99}{99}=1\), which is terminating.
Step 3
Exam Tip
The sum of two recurring decimals can be terminating. चरण 1: \(0.\overline{81}=\frac{81}{99}\) और \(0.\overline{18}=\frac{18}{99}\) है। चरण 2: योग \(\frac{99}{99}=1\) है, जो सांत दशमलव है। चरण 3: दो आवर्ती दशमलवों का योग सांत भी हो सकता है।
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