100 results found for "easy_substitution" in Class 10.
किस रेखा से वृक्ष की ऊंचाई दिखाना आसान है?
Which line makes it easy to show height of a tree?
#vertical line
#tree
#height
A ऊर्ध्व रेखा / Vertical line
B क्षैतिज रेखा / Horizontal line
C गोल रेखा / Round line
D बिंदु रेखा / Dotted line
Explanation opens after your attempt
Correct Answer
A. ऊर्ध्व रेखा / Vertical line
Step 1
Concept
Tree trunk grows vertically. Exam tip: observe vertical line for tall object.
Step 2
Why this answer is correct
The correct answer is A. ऊर्ध्व रेखा / Vertical line. Tree trunk grows vertically. Exam tip: observe vertical line for tall object.
Step 3
Exam Tip
वृक्ष का तना ऊर्ध्व दिशा में बढ़ता है। परीक्षा में tall object के लिए vertical line देखें।
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किस स्थिति में आकृति और पृष्ठभूमि अलग पहचानना आसान होता है?
In which situation is it easy to identify figure and background separately?
#figure ground
#contrast
#background
A जब दोनों बिल्कुल समान हों / When both are exactly the same
B जब कोई रेखा न हो / When there is no line
C जब सब कुछ धुंधला हो / When everything is faint
D जब अच्छा विरोध हो / When there is good contrast
Explanation opens after your attempt
Correct Answer
D. जब अच्छा विरोध हो / When there is good contrast
Step 1
Concept
Good contrast separates figure and background. Exam tip: remember contrast in figure-ground relation.
Step 2
Why this answer is correct
The correct answer is D. जब अच्छा विरोध हो / When there is good contrast. Good contrast separates figure and background. Exam tip: remember contrast in figure-ground relation.
Step 3
Exam Tip
अच्छा विरोध आकृति और पृष्ठभूमि को अलग करता है। परीक्षा में figure ground relation में contrast याद रखें।
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आयात प्रतिस्थापन नीति का संतुलित विशेषज्ञ मूल्यांकन क्या होगा?
What is a balanced expert evaluation of import substitution policy?
#import-substitution
#expert-evaluation
#industry
A यह आत्मनिर्भर उद्योग बढ़ा सकती थी लेकिन संरक्षणवाद से दक्षता समस्या आ सकती थी / It could grow self reliant industry but protectionism could create efficiency problems
B यह केवल सैन्य गठबंधन था / It was only a military alliance
C यह घरेलू उद्योग से असंबंधित थी / It was unrelated to domestic industry
D यह हर देश में बिना सीमा सफल हुई / It succeeded everywhere without limits
Explanation opens after your attempt
Correct Answer
A. यह आत्मनिर्भर उद्योग बढ़ा सकती थी लेकिन संरक्षणवाद से दक्षता समस्या आ सकती थी / It could grow self reliant industry but protectionism could create efficiency problems
Step 1
Concept
Understand both aims and limits of import substitution. For exams write benefits and criticism together.
Step 2
Why this answer is correct
The correct answer is A. यह आत्मनिर्भर उद्योग बढ़ा सकती थी लेकिन संरक्षणवाद से दक्षता समस्या आ सकती थी / It could grow self reliant industry but protectionism could create efficiency problems. Understand both aims and limits of import substitution. For exams write benefits and criticism together.
Step 3
Exam Tip
आयात प्रतिस्थापन के उद्देश्य और सीमाएं दोनों समझें। परीक्षा में लाभ और आलोचना साथ लिखें।
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आयात प्रतिस्थापन और निर्यातोन्मुख विकास की तुलना में मुख्य नीति अंतर क्या है?
What is the main policy difference between import substitution and export oriented development?
#import-substitution
#export-oriented-development
#economic-policy
A आयात प्रतिस्थापन घरेलू बाजार सुरक्षा पर और निर्यातोन्मुख विकास वैश्विक बाजार प्रतिस्पर्धा पर जोर देता है / Import substitution stresses domestic market protection while export oriented development stresses global market competition
B दोनों केवल सैन्य नीति हैं / Both are only military policies
C दोनों का उद्योग से कोई संबंध नहीं / Both have no relation with industry
D दोनों केवल भाषा नीति हैं / Both are only language policies
Explanation opens after your attempt
Correct Answer
A. आयात प्रतिस्थापन घरेलू बाजार सुरक्षा पर और निर्यातोन्मुख विकास वैश्विक बाजार प्रतिस्पर्धा पर जोर देता है / Import substitution stresses domestic market protection while export oriented development stresses global market competition
Step 1
Concept
Both development strategies show different economic paths. For exams understand benefits and limits of both.
Step 2
Why this answer is correct
The correct answer is A. आयात प्रतिस्थापन घरेलू बाजार सुरक्षा पर और निर्यातोन्मुख विकास वैश्विक बाजार प्रतिस्पर्धा पर जोर देता है / Import substitution stresses domestic market protection while export oriented development stresses global market competition. Both development strategies show different economic paths. For exams understand benefits and limits of both.
Step 3
Exam Tip
दोनों विकास रणनीतियां अलग आर्थिक रास्ते दिखाती हैं। परीक्षा में लाभ और सीमा दोनों समझें।
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आयात प्रतिस्थापन नीति की विशेषज्ञ स्तर की आलोचना किस बात पर केंद्रित होगी?
What would an expert level criticism of import substitution focus on?
#import-substitution
#criticism
#economic-policy
A संरक्षण से घरेलू उद्योग बचता है पर दक्षता और प्रतिस्पर्धा की समस्या आ सकती है / Protection saves domestic industry but can create efficiency and competition problems
B यह कभी किसी देश ने अपनाई नहीं / No country ever adopted it
C यह घरेलू उद्योग से असंबंधित है / It is unrelated to domestic industry
D यह हमेशा तुरंत पूर्ण सफलता देती है / It always gives immediate complete success
Explanation opens after your attempt
Correct Answer
A. संरक्षण से घरेलू उद्योग बचता है पर दक्षता और प्रतिस्पर्धा की समस्या आ सकती है / Protection saves domestic industry but can create efficiency and competition problems
Step 1
Concept
It is necessary to understand both benefits and limits of import substitution. For exams make a balanced evaluation.
Step 2
Why this answer is correct
The correct answer is A. संरक्षण से घरेलू उद्योग बचता है पर दक्षता और प्रतिस्पर्धा की समस्या आ सकती है / Protection saves domestic industry but can create efficiency and competition problems. It is necessary to understand both benefits and limits of import substitution. For exams make a balanced evaluation.
Step 3
Exam Tip
आयात प्रतिस्थापन के लाभ और सीमाएं दोनों समझना जरूरी है। परीक्षा में संतुलित मूल्यांकन करें।
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आयात प्रतिस्थापन नीति की सीमा समझना क्यों जरूरी है?
Why is it necessary to understand the limitation of import substitution policy?
#import-substitution
#limitations
#self-reliance
A क्योंकि संरक्षण से दक्षता और प्रतिस्पर्धा की समस्या पैदा हो सकती थी / Because protection could create problems of efficiency and competition
B क्योंकि यह कभी अपनाई ही नहीं गई / Because it was never adopted
C क्योंकि इसका उद्योग से कोई संबंध नहीं था / Because it had no relation with industry
D क्योंकि यह हमेशा तुरंत पूर्ण सफलता देती थी / Because it always gave immediate complete success
Explanation opens after your attempt
Correct Answer
A. क्योंकि संरक्षण से दक्षता और प्रतिस्पर्धा की समस्या पैदा हो सकती थी / Because protection could create problems of efficiency and competition
Step 1
Concept
Import substitution aimed at self reliance but also had limits. For exams write both benefits and criticism.
Step 2
Why this answer is correct
The correct answer is A. क्योंकि संरक्षण से दक्षता और प्रतिस्पर्धा की समस्या पैदा हो सकती थी / Because protection could create problems of efficiency and competition. Import substitution aimed at self reliance but also had limits. For exams write both benefits and criticism.
Step 3
Exam Tip
आयात प्रतिस्थापन आत्मनिर्भरता के लिए था लेकिन उसकी सीमाएं भी थीं। परीक्षा में लाभ और आलोचना दोनों लिखें।
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आयात प्रतिस्थापन नीति की आलोचना किस आधार पर की जा सकती है?
On what basis can import substitution policy be criticized?
#import-substitution
#criticism
#economic-policy
A संरक्षण से दक्षता और वैश्विक प्रतिस्पर्धा की समस्या आ सकती थी / Protection could create problems of efficiency and global competition
B यह घरेलू उद्योग से असंबंधित थी / It was unrelated to domestic industry
C यह विदेशी निर्भरता बढ़ाने के लिए ही थी / It was only for increasing foreign dependence
D यह कभी किसी देश ने अपनाई ही नहीं / No country ever adopted it
Explanation opens after your attempt
Correct Answer
A. संरक्षण से दक्षता और वैश्विक प्रतिस्पर्धा की समस्या आ सकती थी / Protection could create problems of efficiency and global competition
Step 1
Concept
Import substitution aimed at self reliance but also had limits. For exams write both benefits and criticism.
Step 2
Why this answer is correct
The correct answer is A. संरक्षण से दक्षता और वैश्विक प्रतिस्पर्धा की समस्या आ सकती थी / Protection could create problems of efficiency and global competition. Import substitution aimed at self reliance but also had limits. For exams write both benefits and criticism.
Step 3
Exam Tip
आयात प्रतिस्थापन आत्मनिर्भरता के लिए था पर उसकी सीमाएं भी थीं। परीक्षा में लाभ और आलोचना दोनों लिखें।
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आयात प्रतिस्थापन नीति औपनिवेशिक अनुभव की किस सीख पर आधारित थी?
Import substitution policy was based on which lesson of colonial experience?
#import-substitution
#self-reliance
#industry
A विदेशी उद्योगों पर निर्भरता आर्थिक कमजोरी पैदा कर सकती है / Dependence on foreign industries can create economic weakness
B घरेलू उद्योग हमेशा अनावश्यक होते हैं / Domestic industries are always unnecessary
C विदेशी माल पर निर्भरता पूर्ण स्वतंत्रता देती है / Dependence on foreign goods gives complete freedom
D व्यापार और विकास असंबंधित हैं / Trade and development are unrelated
Explanation opens after your attempt
Correct Answer
A. विदेशी उद्योगों पर निर्भरता आर्थिक कमजोरी पैदा कर सकती है / Dependence on foreign industries can create economic weakness
Step 1
Concept
Import substitution was a policy of domestic industry and self reliance. For exams write both benefits and limits.
Step 2
Why this answer is correct
The correct answer is A. विदेशी उद्योगों पर निर्भरता आर्थिक कमजोरी पैदा कर सकती है / Dependence on foreign industries can create economic weakness. Import substitution was a policy of domestic industry and self reliance. For exams write both benefits and limits.
Step 3
Exam Tip
आयात प्रतिस्थापन घरेलू उद्योग और आत्मनिर्भरता की नीति थी। परीक्षा में इसके लाभ और सीमा दोनों लिखें।
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आयात प्रतिस्थापन नीति के पीछे औपनिवेशिक अनुभव का कौन सा सबक था?
Which lesson from colonial experience was behind import substitution policy?
#import-substitution
#self-reliance
#colonial-experience
A विदेशी उद्योगों पर निर्भरता आर्थिक कमजोरी पैदा कर सकती है / Dependence on foreign industries can create economic weakness
B विदेशी वस्तुओं पर निर्भरता हमेशा लाभकारी होती है / Dependence on foreign goods is always beneficial
C घरेलू उद्योग का विकास अनावश्यक है / Development of domestic industry is unnecessary
D व्यापार और विकास असंबंधित हैं / Trade and development are unrelated
Explanation opens after your attempt
Correct Answer
A. विदेशी उद्योगों पर निर्भरता आर्थिक कमजोरी पैदा कर सकती है / Dependence on foreign industries can create economic weakness
Step 1
Concept
Import substitution was an attempt to increase domestic industry and self reliance. For exams write both benefits and limits.
Step 2
Why this answer is correct
The correct answer is A. विदेशी उद्योगों पर निर्भरता आर्थिक कमजोरी पैदा कर सकती है / Dependence on foreign industries can create economic weakness. Import substitution was an attempt to increase domestic industry and self reliance. For exams write both benefits and limits.
Step 3
Exam Tip
आयात प्रतिस्थापन घरेलू उद्योग और आत्मनिर्भरता बढ़ाने का प्रयास था। परीक्षा में लाभ और सीमा दोनों लिखें।
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आयात प्रतिस्थापन नीति के पीछे उपनिवेशवादी अनुभव का कौन सा प्रभाव था?
Which effect of colonial experience was behind import substitution policy?
#import-substitution
#colonial-experience
#industry
A विदेशी उद्योगों पर निर्भरता घटाने की इच्छा / Desire to reduce dependence on foreign industries
B विदेशी वस्तुओं पर निर्भरता बढ़ाने की इच्छा / Desire to increase dependence on foreign goods
C स्थानीय उद्योगों को बंद करने की इच्छा / Desire to close local industries
D उपनिवेशवाद लौटाने की इच्छा / Desire to bring colonialism back
Explanation opens after your attempt
Correct Answer
A. विदेशी उद्योगों पर निर्भरता घटाने की इच्छा / Desire to reduce dependence on foreign industries
Step 1
Concept
Import substitution was a policy to strengthen domestic industry. For exams connect it with economic self reliance.
Step 2
Why this answer is correct
The correct answer is A. विदेशी उद्योगों पर निर्भरता घटाने की इच्छा / Desire to reduce dependence on foreign industries. Import substitution was a policy to strengthen domestic industry. For exams connect it with economic self reliance.
Step 3
Exam Tip
आयात प्रतिस्थापन घरेलू उद्योग को मजबूत करने की नीति थी। परीक्षा में इसे आर्थिक आत्मनिर्भरता से जोड़ें।
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आयात प्रतिस्थापन नीति की सीमा क्या हो सकती थी?
What could be a limitation of import substitution policy?
#import-substitution
#limitations
#economic-policy
A घरेलू उद्योग संरक्षण के साथ प्रतिस्पर्धा और दक्षता की समस्या आ सकती थी / Along with protection domestic industry could face competition and efficiency problems
B यह हमेशा बिना किसी समस्या के सफल होती थी / It always succeeded without any problem
C यह सभी विदेशी निर्भरता तुरंत खत्म कर देती थी / It immediately ended all foreign dependence
D इसका उद्योग से कोई संबंध नहीं था / It had no relation with industry
Explanation opens after your attempt
Correct Answer
A. घरेलू उद्योग संरक्षण के साथ प्रतिस्पर्धा और दक्षता की समस्या आ सकती थी / Along with protection domestic industry could face competition and efficiency problems
Step 1
Concept
Import substitution aimed at self reliance but had limits too. For exams understand both benefits and limits of policy.
Step 2
Why this answer is correct
The correct answer is A. घरेलू उद्योग संरक्षण के साथ प्रतिस्पर्धा और दक्षता की समस्या आ सकती थी / Along with protection domestic industry could face competition and efficiency problems. Import substitution aimed at self reliance but had limits too. For exams understand both benefits and limits of policy.
Step 3
Exam Tip
आयात प्रतिस्थापन आत्मनिर्भरता के लिए था लेकिन इसकी सीमाएं भी थीं। परीक्षा में नीति के लाभ और सीमा दोनों समझें।
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आयात प्रतिस्थापन और आर्थिक आत्मनिर्भरता में क्या संबंध था?
What was the relation between import substitution and economic self reliance?
#import-substitution
#self-reliance
#domestic-industry
A घरेलू उद्योग बढ़ाकर विदेशी वस्तुओं पर निर्भरता घटाना / Reducing dependence on foreign goods by increasing domestic industry
B विदेशी वस्तुओं की निर्भरता बढ़ाना / Increasing dependence on foreign goods
C सभी उद्योग बंद करना / Closing all industries
D दास व्यापार वापस लाना / Bringing back slave trade
Explanation opens after your attempt
Correct Answer
A. घरेलू उद्योग बढ़ाकर विदेशी वस्तुओं पर निर्भरता घटाना / Reducing dependence on foreign goods by increasing domestic industry
Step 1
Concept
Import substitution was linked with self reliant development policy. For exams connect it with post independence planning.
Step 2
Why this answer is correct
The correct answer is A. घरेलू उद्योग बढ़ाकर विदेशी वस्तुओं पर निर्भरता घटाना / Reducing dependence on foreign goods by increasing domestic industry. Import substitution was linked with self reliant development policy. For exams connect it with post independence planning.
Step 3
Exam Tip
आयात प्रतिस्थापन आत्मनिर्भर विकास की नीति से जुड़ा था। परीक्षा में इसे स्वतंत्रता बाद आर्थिक योजना से जोड़ें।
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आयात प्रतिस्थापन नीति को नवस्वतंत्र देशों ने किस समस्या के समाधान के रूप में देखा?
Newly independent countries saw import substitution policy as a solution to which problem?
#import-substitution
#domestic-industry
#self-reliance
A विदेशी औद्योगिक वस्तुओं पर निर्भरता / Dependence on foreign industrial goods
B सभी घरेलू उद्योगों की अधिकता / Excess of all domestic industries
C किसी भी बाजार का अभाव / Absence of any market
D राजनीतिक नागरिकता का अंत / End of political citizenship
Explanation opens after your attempt
Correct Answer
A. विदेशी औद्योगिक वस्तुओं पर निर्भरता / Dependence on foreign industrial goods
Step 1
Concept
Import substitution was a policy to build domestic industry. For exams connect it with economic self reliance.
Step 2
Why this answer is correct
The correct answer is A. विदेशी औद्योगिक वस्तुओं पर निर्भरता / Dependence on foreign industrial goods. Import substitution was a policy to build domestic industry. For exams connect it with economic self reliance.
Step 3
Exam Tip
आयात प्रतिस्थापन घरेलू उद्योग बनाने की नीति थी। परीक्षा में इसे आर्थिक आत्मनिर्भरता से जोड़ें।
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आयात प्रतिस्थापन नीति नए स्वतंत्र देशों में क्यों अपनाई गई?
Why was import substitution policy adopted in newly independent countries?
#import-substitution
#domestic-industry
#economic-policy
A घरेलू उद्योग विकसित कर विदेशी वस्तुओं पर निर्भरता घटाने के लिए / To develop domestic industry and reduce dependence on foreign goods
B सभी उद्योग बंद करने के लिए / To close all industries
C उपनिवेशी व्यापार बढ़ाने के लिए / To increase colonial trade
D दासता फिर शुरू करने के लिए / To restart slavery
Explanation opens after your attempt
Correct Answer
A. घरेलू उद्योग विकसित कर विदेशी वस्तुओं पर निर्भरता घटाने के लिए / To develop domestic industry and reduce dependence on foreign goods
Step 1
Concept
The aim of import substitution was to increase domestic production. For exams connect it with post independence economic policy.
Step 2
Why this answer is correct
The correct answer is A. घरेलू उद्योग विकसित कर विदेशी वस्तुओं पर निर्भरता घटाने के लिए / To develop domestic industry and reduce dependence on foreign goods. The aim of import substitution was to increase domestic production. For exams connect it with post independence economic policy.
Step 3
Exam Tip
आयात प्रतिस्थापन का उद्देश्य घरेलू उत्पादन को बढ़ाना था। परीक्षा में इसे स्वतंत्रता बाद आर्थिक नीति से जोड़ें।
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आयात प्रतिस्थापन नीति का सरल उद्देश्य क्या था?
What was the simple aim of import substitution policy?
#import-substitution
#industry
#development
A विदेशी वस्तुओं की जगह घरेलू उत्पादन बढ़ाना / Increasing domestic production instead of foreign goods
B सभी उद्योग बंद करना / Closing all industries
C दास व्यापार बढ़ाना / Increasing slave trade
D विदेशी शासन लागू करना / Applying foreign rule
Explanation opens after your attempt
Correct Answer
A. विदेशी वस्तुओं की जगह घरेलू उत्पादन बढ़ाना / Increasing domestic production instead of foreign goods
Step 1
Concept
Through import substitution countries wanted to develop domestic industries. For exams connect it with post independence economic policy.
Step 2
Why this answer is correct
The correct answer is A. विदेशी वस्तुओं की जगह घरेलू उत्पादन बढ़ाना / Increasing domestic production instead of foreign goods. Through import substitution countries wanted to develop domestic industries. For exams connect it with post independence economic policy.
Step 3
Exam Tip
आयात प्रतिस्थापन से देश घरेलू उद्योग विकसित करना चाहते थे। परीक्षा में इसे स्वतंत्रता बाद आर्थिक नीति से जोड़ें।
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क्रांति और सुधार में आसान अंतर क्या है?
What is an easy difference between revolution and reform?
#world history
#revolutions
#revolution
#reform
A क्रांति बड़ा तेज बदलाव होती है सुधार क्रमिक बदलाव हो सकता है / Revolution is a major rapid change while reform can be gradual
B दोनों हमेशा युद्ध ही होते हैं / Both are always wars
C सुधार में कोई बदलाव नहीं होता / Reform has no change
D क्रांति केवल मौसम बदलती है / Revolution only changes weather
Explanation opens after your attempt
Correct Answer
A. क्रांति बड़ा तेज बदलाव होती है सुधार क्रमिक बदलाव हो सकता है / Revolution is a major rapid change while reform can be gradual
Step 1
Concept
A revolution often brings deep change while reform can happen gradually. For exams understand the two terms separately.
Step 2
Why this answer is correct
The correct answer is A. क्रांति बड़ा तेज बदलाव होती है सुधार क्रमिक बदलाव हो सकता है / Revolution is a major rapid change while reform can be gradual. A revolution often brings deep change while reform can happen gradually. For exams understand the two terms separately.
Step 3
Exam Tip
क्रांति प्रायः गहरा बदलाव लाती है जबकि सुधार धीरे धीरे हो सकता है। परीक्षा में दोनों शब्दों को अलग समझें।
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किसी समांतर श्रेढ़ी में \(S_n=2n^2+5n\) है। पहले (8) पदों का योग क्या होगा?
In an AP, \(S_n=2n^2+5n\). What is the sum of the first (8) terms?
#sum formula
#given sn
#substitution
A (168)
B (160)
C (172)
D (176)
Explanation opens after your attempt
Step 1
Concept
(S_8=2(8)2 +5(8)=168). Put (n=8) directly in the given \(S_n\).
Step 2
Why this answer is correct
The correct answer is A. (168). (S_8=2(8)2 +5(8)=168). Put (n=8) directly in the given \(S_n\).
Step 3
Exam Tip
(S_8=2(8)2 +5(8)=168)। दिए गए \(S_n\) में सीधे (n=8) रखें।
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यदि \(S_n=3n^2+2n\), तो पहले (12) पदों का योग क्या है?
If \(S_n=3n^2+2n\), what is the sum of the first (12) terms?
#sum expression
#substitution
#ap
A (452)
B (456)
C (460)
D (468)
Explanation opens after your attempt
Step 1
Concept
Putting (n=12), (S_{12}=3(12)2 +2(12)=456). Substitute the given value of (n) directly in the sum formula.
Step 2
Why this answer is correct
The correct answer is B. (456). Putting (n=12), (S_{12}=3(12)2 +2(12)=456). Substitute the given value of (n) directly in the sum formula.
Step 3
Exam Tip
(n=12) रखने पर (S_{12}=3(12)2 +2(12)=456)। दिए गए योग सूत्र में सीधे (n) का मान रखें।
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समांतर श्रेणी \(22,25,28,\ldots\) के पहले (14) पदों का योग ज्ञात कीजिए।
Find the sum of the first (14) terms of the arithmetic progression \(22,25,28,\ldots\).
#ap_sum
#fourteen_terms
#easy
A (571)
B (581)
C (591)
D (601)
Explanation opens after your attempt
Step 1
Concept
The fourteenth term is (61), so (S_{14}=\frac{14}{2}(22+61)=581). Correct calculation of the last term gives the correct sum.
Step 2
Why this answer is correct
The correct answer is B. (581). The fourteenth term is (61), so (S_{14}=\frac{14}{2}(22+61)=581). Correct calculation of the last term gives the correct sum.
Step 3
Exam Tip
चौदहवाँ पद (61) है, इसलिए (S_{14}=\frac{14}{2}(22+61)=581)। अंतिम पद की सही गणना से योग सही मिलता है।
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पहले (16) विषम प्राकृतिक संख्याओं का योग कितना है?
What is the sum of the first (16) odd natural numbers?
#odd_numbers
#ap_sum
#easy
A (246)
B (256)
C (266)
D (276)
Explanation opens after your attempt
Step 1
Concept
The sum of the first (n) odd numbers is \(n^2\), so \(16^2=256\). This formula is worth remembering.
Step 2
Why this answer is correct
The correct answer is B. (256). The sum of the first (n) odd numbers is \(n^2\), so \(16^2=256\). This formula is worth remembering.
Step 3
Exam Tip
पहले (n) विषम संख्याओं का योग \(n^2\) होता है, इसलिए \(16^2=256\)। यह सूत्र याद रखने योग्य है।
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यदि (S_n=\frac{n}{2}(a+l)), (a=14), (l=84), और (n=15) है, तो योग ज्ञात कीजिए।
If (S_n=\frac{n}{2}(a+l)), (a=14), (l=84), and (n=15), find the sum.
#first_last
#ap_sum
#easy
A (715)
B (725)
C (735)
D (745)
Explanation opens after your attempt
Step 1
Concept
(S_{15}=\frac{15}{2}(14+84)=735). Take the average of the first and last terms and multiply by (n).
Step 2
Why this answer is correct
The correct answer is C. (735). (S_{15}=\frac{15}{2}(14+84)=735). Take the average of the first and last terms and multiply by (n).
Step 3
Exam Tip
(S_{15}=\frac{15}{2}(14+84)=735)। पहले और अंतिम पद का औसत लेकर (n) से गुणा करें।
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यदि किसी समांतर श्रेणी में \(S_5=65\) और \(S_{11}=242\) है, तो छठे से ग्यारहवें पदों का योग कितना है?
If an arithmetic progression has \(S_5=65\) and \(S_{11}=242\), what is the sum of the (6)th to (11)th terms?
#partial_sum
#ap_sum
#easy
A (167)
B (177)
C (187)
D (197)
Explanation opens after your attempt
Step 1
Concept
The sum of the (6)th to (11)th terms is \(S_{11}-S_5=177\). The difference of partial sums gives the answer directly.
Step 2
Why this answer is correct
The correct answer is B. (177). The sum of the (6)th to (11)th terms is \(S_{11}-S_5=177\). The difference of partial sums gives the answer directly.
Step 3
Exam Tip
छठे से ग्यारहवें पदों का योग \(S_{11}-S_5=177\) है। आंशिक योगों का अंतर सीधे उत्तर देता है।
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समांतर श्रेणी \(2,9,16,\ldots\) के पहले (13) पदों का योग क्या है?
What is the sum of the first (13) terms of the arithmetic progression \(2,9,16,\ldots\)?
#ap_sum
#thirteen_terms
#easy
A (542)
B (552)
C (562)
D (572)
Explanation opens after your attempt
Step 1
Concept
The thirteenth term is (86), so (S_{13}=\frac{13}{2}(2+86)=572). Use ((n-1)d) when finding the last term.
Step 2
Why this answer is correct
The correct answer is D. (572). The thirteenth term is (86), so (S_{13}=\frac{13}{2}(2+86)=572). Use ((n-1)d) when finding the last term.
Step 3
Exam Tip
तेरहवाँ पद (86) है, इसलिए (S_{13}=\frac{13}{2}(2+86)=572)। अंतिम पद निकालते समय ((n-1)d) का उपयोग करें।
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यदि किसी समांतर श्रेणी में (a=20), (d=-3), और (n=7) है, तो पहले (7) पदों का योग कितना होगा?
If an arithmetic progression has (a=20), (d=-3), and (n=7), what is the sum of the first (7) terms?
#negative_difference
#ap_sum
#easy
A (77)
B (87)
C (97)
D (107)
Explanation opens after your attempt
Step 1
Concept
The seventh term is (2), and (S_7=\frac{7}{2}(20+2)=77). Do not make a sign error with negative (d).
Step 2
Why this answer is correct
The correct answer is A. (77). The seventh term is (2), and (S_7=\frac{7}{2}(20+2)=77). Do not make a sign error with negative (d).
Step 3
Exam Tip
सातवाँ पद (2) है और (S_7=\frac{7}{2}(20+2)=77)। ऋणात्मक (d) में चिन्ह की गलती न करें।
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पहले (19) सम प्राकृतिक संख्याओं का योग कितना होगा?
What will be the sum of the first (19) even natural numbers?
#even_numbers
#ap_sum
#easy
A (370)
B (380)
C (390)
D (400)
Explanation opens after your attempt
Step 1
Concept
The sum of the first (n) even numbers is (n(n+1)), so \(19\times20=380\). Even numbers start from \(2,4,6,\ldots\).
Step 2
Why this answer is correct
The correct answer is B. (380). The sum of the first (n) even numbers is (n(n+1)), so \(19\times20=380\). Even numbers start from \(2,4,6,\ldots\).
Step 3
Exam Tip
पहले (n) सम संख्याओं का योग (n(n+1)) होता है, इसलिए \(19\times20=380\)। सम संख्याएँ \(2,4,6,\ldots\) से शुरू होती हैं।
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पहले (22) प्राकृतिक संख्याओं का योग कितना है?
What is the sum of the first (22) natural numbers?
#natural_numbers
#ap_sum
#easy
A (243)
B (253)
C (263)
D (273)
Explanation opens after your attempt
Step 1
Concept
The sum of the first (n) natural numbers is (\frac{n(n+1)}{2}), so the answer is (253). Put the value of (n) directly in such questions.
Step 2
Why this answer is correct
The correct answer is B. (253). The sum of the first (n) natural numbers is (\frac{n(n+1)}{2}), so the answer is (253). Put the value of (n) directly in such questions.
Step 3
Exam Tip
पहले (n) प्राकृतिक संख्याओं का योग (\frac{n(n+1)}{2}) होता है, इसलिए (253) मिलेगा। ऐसे प्रश्न में सीधे (n) का मान लगाएँ।
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समांतर श्रेढ़ी \(2,5,8,\ldots\) के पहले (14) पदों का योग ज्ञात कीजिए।
Find the sum of the first (14) terms of the arithmetic progression \(2,5,8,\ldots\).
#ap_sum
#fourteen_terms
#easy
A (296)
B (299)
C (301)
D (303)
Explanation opens after your attempt
Step 1
Concept
The fourteenth term is (41), so (S_{14}=\frac{14}{2}(2+41)=301). Finding the last term correctly is the main step.
Step 2
Why this answer is correct
The correct answer is C. (301). The fourteenth term is (41), so (S_{14}=\frac{14}{2}(2+41)=301). Finding the last term correctly is the main step.
Step 3
Exam Tip
चौदहवाँ पद (41) है, इसलिए (S_{14}=\frac{14}{2}(2+41)=301)। अंतिम पद सही निकालना मुख्य कदम है।
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समांतर श्रेढ़ी \(14,17,20,\ldots\) के पहले (10) पदों का योग ज्ञात कीजिए।
Find the sum of the first (10) terms of the arithmetic progression \(14,17,20,\ldots\).
#ap_sum
#tenth_term
#easy
A (265)
B (275)
C (285)
D (295)
Explanation opens after your attempt
Step 1
Concept
The tenth term is (41), and (S_{10}=\frac{10}{2}(14+41)=275). Finding the last term first makes the sum simple.
Step 2
Why this answer is correct
The correct answer is B. (275). The tenth term is (41), and (S_{10}=\frac{10}{2}(14+41)=275). Finding the last term first makes the sum simple.
Step 3
Exam Tip
दसवाँ पद (41) है और (S_{10}=\frac{10}{2}(14+41)=275)। अंतिम पद निकालकर योग लेना सरल है।
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समांतर श्रेढ़ी \(9,13,17,\ldots\) के पहले (15) पदों का योग ज्ञात कीजिए।
Find the sum of the first (15) terms of the arithmetic progression \(9,13,17,\ldots\).
#ap_sum
#last_term
#easy
A (555)
B (560)
C (565)
D (570)
Explanation opens after your attempt
Step 1
Concept
The last term is (65), so (S_{15}=\frac{15}{2}(9+65)=555). Using the last term can simplify calculation.
Step 2
Why this answer is correct
The correct answer is A. (555). The last term is (65), so (S_{15}=\frac{15}{2}(9+65)=555). Using the last term can simplify calculation.
Step 3
Exam Tip
अंतिम पद (65) है, इसलिए (S_{15}=\frac{15}{2}(9+65)=555)। अंतिम पद से गणना आसान हो सकती है।
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किसी समांतर श्रेढ़ी के पहले (9) पदों का औसत (25) है। इन (9) पदों का योग कितना है?
The average of the first (9) terms of an arithmetic progression is (25). What is the sum of these (9) terms?
#average
#ap_sum
#easy
A (200)
B (215)
C (225)
D (235)
Explanation opens after your attempt
Step 1
Concept
Sum equals average \(\times\) number of terms, so \(25\times9=225\). When the average is given, the long formula is not needed.
Step 2
Why this answer is correct
The correct answer is C. (225). Sum equals average \(\times\) number of terms, so \(25\times9=225\). When the average is given, the long formula is not needed.
Step 3
Exam Tip
योग (=) औसत \(\times\) पदों की संख्या, इसलिए \(25\times9=225\)। औसत दिए होने पर लंबा सूत्र जरूरी नहीं।
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समांतर श्रेढ़ी \(2,6,10,\ldots\) के पहले (15) पदों का योग कितना है?
What is the sum of the first (15) terms of the arithmetic progression \(2,6,10,\ldots\)?
#ap
#sum
#easy_mcq
A (420)
B (430)
C (450)
D (460)
Explanation opens after your attempt
Step 1
Concept
Here (a=2), (d=4), and (n=15), so \(S_{15}=450\). Do not forget to use (n-1) in the formula.
Step 2
Why this answer is correct
The correct answer is C. (450). Here (a=2), (d=4), and (n=15), so \(S_{15}=450\). Do not forget to use (n-1) in the formula.
Step 3
Exam Tip
यहाँ (a=2), (d=4), (n=15) है, इसलिए \(S_{15}=450\)। सूत्र में (n-1) लिखना न भूलें।
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समान्तर श्रेणी \(17,22,27,\ldots\) के पहले (10) पदों का योग कितना है?
What is the sum of the first (10) terms of the AP \(17,22,27,\ldots\)?
#ap-sum-ten-easy
A (385)
B (390)
C (395)
D (400)
Explanation opens after your attempt
Step 1
Concept
The tenth term is (62). (S_{10}=\frac{10}{2}(17+62)=395).
Step 2
Why this answer is correct
The correct answer is C. (395). The tenth term is (62). (S_{10}=\frac{10}{2}(17+62)=395).
Step 3
Exam Tip
दसवां पद (62) है। (S_{10}=\frac{10}{2}(17+62)=395)।
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यदि (S_n=\frac{n}{2}(2n+4)) है तो \(S_{12}\) क्या होगा?
If (S_n=\frac{n}{2}(2n+4)), what is \(S_{12}\)?
#ap-sum-substitution
A (156)
B (160)
C (168)
D (172)
Explanation opens after your attempt
Step 1
Concept
Put (n=12) in the formula. (S_{12}=\frac{12}{2}(24+4)=168).
Step 2
Why this answer is correct
The correct answer is C. (168). Put (n=12) in the formula. (S_{12}=\frac{12}{2}(24+4)=168).
Step 3
Exam Tip
सूत्र में (n=12) रखें। (S_{12}=\frac{12}{2}(24+4)=168)।
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एक AP का (a=2), (l=38) और (n=10) है। \(S_n\) क्या होगा?
An AP has (a=2), (l=38), and (n=10). What is \(S_n\)?
#ap-sum-first-last-easy
A (180)
B (190)
C (200)
D (210)
Explanation opens after your attempt
Step 1
Concept
The first and last terms are given. (S_{10}=\frac{10}{2}(2+38)=200).
Step 2
Why this answer is correct
The correct answer is C. (200). The first and last terms are given. (S_{10}=\frac{10}{2}(2+38)=200).
Step 3
Exam Tip
पहला और अंतिम पद दिए हैं। (S_{10}=\frac{10}{2}(2+38)=200)।
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समान्तर श्रेणी \(2,5,8,\ldots\) के पहले (10) पदों का योग क्या है?
What is the sum of the first (10) terms of the AP \(2,5,8,\ldots\)?
#ap-sum-easy
A (145)
B (150)
C (155)
D (160)
Explanation opens after your attempt
Step 1
Concept
Here (a=2), (d=3), (n=10). \(S_{10}=\frac{10}{2}[2\cdot2+9\cdot3]=155\).
Step 2
Why this answer is correct
The correct answer is C. (155). Here (a=2), (d=3), (n=10). \(S_{10}=\frac{10}{2}[2\cdot2+9\cdot3]=155\).
Step 3
Exam Tip
यहां (a=2), (d=3), (n=10)। \(S_{10}=\frac{10}{2}[2\cdot2+9\cdot3]=155\)।
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एपी \(\frac{4}{5},\frac{9}{5},\frac{14}{5},\frac{19}{5},\ldots\) का (6)वाँ पद ज्ञात करें।
Find the (6)th term of the AP \(\frac{4}{5},\frac{9}{5},\frac{14}{5},\frac{19}{5},\ldots\).
#ap
#nth-term
#easy
#class10
A \(\frac{27}{5}\)
B \(\frac{29}{5}\)
C \(\frac{31}{5}\)
D \(\frac{33}{5}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{29}{5}\)
Step 1
Concept
Here (d=1), so \(a_6=\frac{4}{5}+5=\frac{29}{5}\). Convert the whole number to a fraction with the same denominator.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{29}{5}\). Here (d=1), so \(a_6=\frac{4}{5}+5=\frac{29}{5}\). Convert the whole number to a fraction with the same denominator.
Step 3
Exam Tip
यहाँ (d=1) है इसलिए \(a_6=\frac{4}{5}+5=\frac{29}{5}\)। पूर्ण संख्या को समान हर वाली भिन्न में बदलें।
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एपी \(14,14,14,14,\ldots\) का (40)वाँ पद क्या होगा?
What is the (40)th term of the AP \(14,14,14,14,\ldots\)?
#ap
#nth-term
#easy
#class10
A (0)
B (14)
C (40)
D (560)
Explanation opens after your attempt
Step 1
Concept
Here (d=0), so every term remains (14). In a constant AP, \(a_n=a\).
Step 2
Why this answer is correct
The correct answer is B. (14). Here (d=0), so every term remains (14). In a constant AP, \(a_n=a\).
Step 3
Exam Tip
यहाँ (d=0) है इसलिए हर पद (14) रहेगा। स्थिर एपी में \(a_n=a\) होता है।
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यदि \(a_9=70\) और (d=3) है तो (15)वाँ पद क्या होगा?
If \(a_9=70\) and (d=3), what is the (15)th term?
#ap
#nth-term
#easy
#class10
A (84)
B (86)
C (88)
D (90)
Explanation opens after your attempt
Step 1
Concept
The (15)th term is (6d) after the (9)th term, so (70+18=88). This method is simple for nearby terms.
Step 2
Why this answer is correct
The correct answer is C. (88). The (15)th term is (6d) after the (9)th term, so (70+18=88). This method is simple for nearby terms.
Step 3
Exam Tip
(15)वाँ पद (9)वें पद से (6d) आगे है इसलिए (70+18=88)। निकट पदों में यह विधि सरल है।
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एपी \(9,15,21,27,\ldots\) का (28)वाँ पद क्या है?
What is the (28)th term of the AP \(9,15,21,27,\ldots\)?
#ap
#nth-term
#easy
#class10
A (169)
B (171)
C (173)
D (175)
Explanation opens after your attempt
Step 1
Concept
Here (d=6), so \(a_{28}=9+27\times6=171\). For the (28)th term, add (27d).
Step 2
Why this answer is correct
The correct answer is B. (171). Here (d=6), so \(a_{28}=9+27\times6=171\). For the (28)th term, add (27d).
Step 3
Exam Tip
यहाँ (d=6) है इसलिए \(a_{28}=9+27\times6=171\)। (28)वें पद के लिए (27d) जोड़ें।
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यदि \(a_1=22\) और (d=13) है तो (5)वाँ पद क्या होगा?
If \(a_1=22\) and (d=13), what is the (5)th term?
#ap
#nth-term
#easy
#class10
A (70)
B (72)
C (74)
D (76)
Explanation opens after your attempt
Step 1
Concept
\(a_5=22+4\times13=74\). \(a_1\) is treated as the first term.
Step 2
Why this answer is correct
The correct answer is C. (74). \(a_5=22+4\times13=74\). \(a_1\) is treated as the first term.
Step 3
Exam Tip
\(a_5=22+4\times13=74\)। \(a_1\) को प्रथम पद माना जाता है।
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एपी \(33,29,25,21,\ldots\) का (14)वाँ पद ज्ञात करें।
Find the (14)th term of the AP \(33,29,25,21,\ldots\).
#ap
#nth-term
#easy
#class10
A (-21)
B (-19)
C (-17)
D (-15)
Explanation opens after your attempt
Step 1
Concept
Here (d=-4), so (a_{14}=33+13(-4)=-19). Add (-4) thirteen times.
Step 2
Why this answer is correct
The correct answer is B. (-19). Here (d=-4), so (a_{14}=33+13(-4)=-19). Add (-4) thirteen times.
Step 3
Exam Tip
यहाँ (d=-4) है इसलिए (a_{14}=33+13(-4)=-19)। (13) बार (-4) जोड़ें।
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एपी \(6,17,28,39,\ldots\) का (16)वाँ पद क्या होगा?
What is the (16)th term of the AP \(6,17,28,39,\ldots\)?
#ap
#nth-term
#easy
#class10
A (169)
B (171)
C (173)
D (175)
Explanation opens after your attempt
Step 1
Concept
Here (d=11), so \(a_{16}=6+15\times11=171\). For the (16)th term, add (15) differences.
Step 2
Why this answer is correct
The correct answer is B. (171). Here (d=11), so \(a_{16}=6+15\times11=171\). For the (16)th term, add (15) differences.
Step 3
Exam Tip
यहाँ (d=11) है इसलिए \(a_{16}=6+15\times11=171\)। (16)वें पद के लिए (15) अंतर जोड़ें।
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यदि (a=120), (d=-9) और (n=13) है तो \(a_n\) ज्ञात करें।
If (a=120), (d=-9), and (n=13), find \(a_n\).
#ap
#nth-term
#easy
#class10
A (10)
B (12)
C (14)
D (16)
Explanation opens after your attempt
Step 1
Concept
(a_{13}=120+12(-9)=12). First subtract \(12\times9\).
Step 2
Why this answer is correct
The correct answer is B. (12). (a_{13}=120+12(-9)=12). First subtract \(12\times9\).
Step 3
Exam Tip
(a_{13}=120+12(-9)=12)। पहले \(12\times9\) घटाएं।
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एपी \(-15,-9,-3,3,\ldots\) का (18)वाँ पद क्या है?
What is the (18)th term of the AP \(-15,-9,-3,3,\ldots\)?
#ap
#nth-term
#easy
#class10
A (81)
B (85)
C (87)
D (89)
Explanation opens after your attempt
Step 1
Concept
Here (d=6), so \(a_{18}=-15+17\times6=87\). Add the negative first term correctly.
Step 2
Why this answer is correct
The correct answer is C. (87). Here (d=6), so \(a_{18}=-15+17\times6=87\). Add the negative first term correctly.
Step 3
Exam Tip
यहाँ (d=6) है इसलिए \(a_{18}=-15+17\times6=87\)। ऋणात्मक प्रथम पद को सही जोड़ें।
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एपी \(12,17,22,27,\ldots\) का (24)वाँ पद ज्ञात कीजिए।
Find the (24)th term of the AP \(12,17,22,27,\ldots\).
#ap
#nth-term
#easy
#class10
A (125)
B (127)
C (129)
D (131)
Explanation opens after your attempt
Step 1
Concept
Here (d=5), so \(a_{24}=12+23\times5=127\). For the (24)th term, add (23d).
Step 2
Why this answer is correct
The correct answer is B. (127). Here (d=5), so \(a_{24}=12+23\times5=127\). For the (24)th term, add (23d).
Step 3
Exam Tip
यहाँ (d=5) है इसलिए \(a_{24}=12+23\times5=127\)। (24)वें पद के लिए (23d) जोड़ें।
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यदि \(a_8=44\) और (d=-2) है तो (12)वाँ पद क्या होगा?
If \(a_8=44\) and (d=-2), what is the (12)th term?
#ap
#nth-term
#easy
#class10
A (34)
B (36)
C (38)
D (40)
Explanation opens after your attempt
Step 1
Concept
The (12)th term is (4d) after the (8)th term, so (44+4(-2)=36). Add the negative difference carefully.
Step 2
Why this answer is correct
The correct answer is B. (36). The (12)th term is (4d) after the (8)th term, so (44+4(-2)=36). Add the negative difference carefully.
Step 3
Exam Tip
(12)वाँ पद (8)वें पद से (4d) आगे है इसलिए (44+4(-2)=36)। ऋणात्मक अंतर को ध्यान से जोड़ें।
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एपी \(7,16,25,34,\ldots\) का (21)वाँ पद क्या होगा?
What is the (21)st term of the AP \(7,16,25,34,\ldots\)?
#ap
#nth-term
#easy
#class10
A (185)
B (187)
C (189)
D (191)
Explanation opens after your attempt
Step 1
Concept
Here (d=9), so \(a_{21}=7+20\times9=187\). Up to the (21)st term, (20) differences are added.
Step 2
Why this answer is correct
The correct answer is B. (187). Here (d=9), so \(a_{21}=7+20\times9=187\). Up to the (21)st term, (20) differences are added.
Step 3
Exam Tip
यहाँ (d=9) है इसलिए \(a_{21}=7+20\times9=187\)। (21)वें पद तक (20) अंतर जुड़ते हैं।
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यदि किसी एपी में (a=2.5), (d=2.5) और (n=10) है तो \(a_n\) क्या होगा?
If an AP has (a=2.5), (d=2.5), and (n=10), what is \(a_n\)?
#ap
#nth-term
#easy
#class10
A (22.5)
B (25.0)
C (27.5)
D (30.0)
Explanation opens after your attempt
Step 1
Concept
\(a_{10}=2.5+9\times2.5=25.0\). Treat decimals like ordinary numbers.
Step 2
Why this answer is correct
The correct answer is B. (25.0). \(a_{10}=2.5+9\times2.5=25.0\). Treat decimals like ordinary numbers.
Step 3
Exam Tip
\(a_{10}=2.5+9\times2.5=25.0\)। दशमलव को सामान्य संख्या की तरह रखें।
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एपी \(48,42,36,30,\ldots\) का (11)वाँ पद ज्ञात करें।
Find the (11)th term of the AP \(48,42,36,30,\ldots\).
#ap
#nth-term
#easy
#class10
A (-14)
B (-12)
C (-10)
D (-8)
Explanation opens after your attempt
Step 1
Concept
Here (d=-6), so (a_{11}=48+10(-6)=-12). For the (11)th term, add (10d).
Step 2
Why this answer is correct
The correct answer is B. (-12). Here (d=-6), so (a_{11}=48+10(-6)=-12). For the (11)th term, add (10d).
Step 3
Exam Tip
यहाँ (d=-6) है इसलिए (a_{11}=48+10(-6)=-12)। (11)वें पद के लिए (10d) जोड़ें।
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यदि \(a_2=12\) और (d=9) है तो (7)वाँ पद क्या होगा?
If \(a_2=12\) and (d=9), what is the (7)th term?
#ap
#nth-term
#easy
#class10
A (55)
B (57)
C (59)
D (61)
Explanation opens after your attempt
Step 1
Concept
The (7)th term is (5d) after the (2)nd term, so (12+45=57). Solve by moving forward from the given term.
Step 2
Why this answer is correct
The correct answer is B. (57). The (7)th term is (5d) after the (2)nd term, so (12+45=57). Solve by moving forward from the given term.
Step 3
Exam Tip
(7)वाँ पद (2)रे पद से (5d) आगे है इसलिए (12+45=57)। दिए पद से आगे बढ़कर हल करें।
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एपी \(18,28,38,48,\ldots\) का (9)वाँ पद क्या है?
What is the (9)th term of the AP \(18,28,38,48,\ldots\)?
#ap
#nth-term
#easy
#class10
A (88)
B (96)
C (98)
D (108)
Explanation opens after your attempt
Step 1
Concept
Here (d=10), so \(a_9=18+8\times10=98\). Up to the (9)th term, (8) differences are added.
Step 2
Why this answer is correct
The correct answer is C. (98). Here (d=10), so \(a_9=18+8\times10=98\). Up to the (9)th term, (8) differences are added.
Step 3
Exam Tip
यहाँ (d=10) है इसलिए \(a_9=18+8\times10=98\)। (9)वें पद तक (8) अंतर जुड़ते हैं।
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यदि (a=5) और (d=-1) है तो (30)वाँ पद क्या होगा?
If (a=5) and (d=-1), what is the (30)th term?
#ap
#nth-term
#easy
#class10
A (-26)
B (-25)
C (-24)
D (-23)
Explanation opens after your attempt
Step 1
Concept
(a_{30}=5+29(-1)=-24). For the (30)th term, add (29d).
Step 2
Why this answer is correct
The correct answer is C. (-24). (a_{30}=5+29(-1)=-24). For the (30)th term, add (29d).
Step 3
Exam Tip
(a_{30}=5+29(-1)=-24)। (30)वें पद के लिए (29d) जोड़ना है।
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एपी \(31,34,37,40,\ldots\) का (22)वाँ पद क्या होगा?
What is the (22)nd term of the AP \(31,34,37,40,\ldots\)?
#ap
#nth-term
#easy
#class10
A (91)
B (92)
C (93)
D (94)
Explanation opens after your attempt
Step 1
Concept
Here (d=3), so \(a_{22}=31+21\times3=94\). The (22)nd term includes (21) differences.
Step 2
Why this answer is correct
The correct answer is D. (94). Here (d=3), so \(a_{22}=31+21\times3=94\). The (22)nd term includes (21) differences.
Step 3
Exam Tip
यहाँ (d=3) है इसलिए \(a_{22}=31+21\times3=94\)। (22)वें पद में (21) अंतर जुड़ते हैं।
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एपी \(\frac{5}{4},\frac{7}{4},\frac{9}{4},\frac{11}{4},\ldots\) का (9)वाँ पद ज्ञात करें।
Find the (9)th term of the AP \(\frac{5}{4},\frac{7}{4},\frac{9}{4},\frac{11}{4},\ldots\).
#ap
#nth-term
#easy
#class10
A \(\frac{19}{4}\)
B \(\frac{20}{4}\)
C \(\frac{21}{4}\)
D \(\frac{22}{4}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{21}{4}\)
Step 1
Concept
Here \(d=\frac{1}{2}\), so \(a_9=\frac{5}{4}+8\times\frac{1}{2}=\frac{21}{4}\). Use the fractional difference carefully.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{21}{4}\). Here \(d=\frac{1}{2}\), so \(a_9=\frac{5}{4}+8\times\frac{1}{2}=\frac{21}{4}\). Use the fractional difference carefully.
Step 3
Exam Tip
यहाँ \(d=\frac{1}{2}\) है इसलिए \(a_9=\frac{5}{4}+8\times\frac{1}{2}=\frac{21}{4}\)। भिन्न वाले अंतर को सरल रूप में लें।
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यदि (a=0), (d=11) और (n=11) है तो \(a_n\) क्या होगा?
If (a=0), (d=11), and (n=11), what is \(a_n\)?
#ap
#nth-term
#easy
#class10
A (99)
B (110)
C (111)
D (121)
Explanation opens after your attempt
Step 1
Concept
\(a_{11}=0+10\times11=110\). Even when the first term is (0), use (n-1).
Step 2
Why this answer is correct
The correct answer is B. (110). \(a_{11}=0+10\times11=110\). Even when the first term is (0), use (n-1).
Step 3
Exam Tip
\(a_{11}=0+10\times11=110\)। प्रथम पद (0) होने पर भी (n-1) ही लेते हैं।
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एपी \(200,190,180,170,\ldots\) का (16)वाँ पद क्या है?
What is the (16)th term of the AP \(200,190,180,170,\ldots\)?
#ap
#nth-term
#easy
#class10
A (40)
B (50)
C (60)
D (70)
Explanation opens after your attempt
Step 1
Concept
Here (d=-10), so (a_{16}=200+15(-10)=50). Watch the sign even with large terms.
Step 2
Why this answer is correct
The correct answer is B. (50). Here (d=-10), so (a_{16}=200+15(-10)=50). Watch the sign even with large terms.
Step 3
Exam Tip
यहाँ (d=-10) है इसलिए (a_{16}=200+15(-10)=50)। बड़े पदों में भी चिह्न पर ध्यान दें।
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यदि एपी का (4)था पद (21) और (d=6) है तो (10)वाँ पद क्या होगा?
If the (4)th term of an AP is (21) and (d=6), what is the (10)th term?
#ap
#nth-term
#easy
#class10
A (53)
B (55)
C (57)
D (59)
Explanation opens after your attempt
Step 1
Concept
The (10)th term is (6d) after the (4)th term, so (21+36=57). Use the difference in term numbers directly.
Step 2
Why this answer is correct
The correct answer is C. (57). The (10)th term is (6d) after the (4)th term, so (21+36=57). Use the difference in term numbers directly.
Step 3
Exam Tip
(10)वाँ पद (4)थे पद से (6d) आगे है इसलिए (21+36=57)। पद संख्या का अंतर सीधे उपयोग करें।
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एपी \(5,14,23,32,\ldots\) का (14)वाँ पद ज्ञात कीजिए।
Find the (14)th term of the AP \(5,14,23,32,\ldots\).
#ap
#nth-term
#easy
#class10
A (118)
B (120)
C (122)
D (124)
Explanation opens after your attempt
Step 1
Concept
Here (d=9), so \(a_{14}=5+13\times9=122\). Use (n-1=13).
Step 2
Why this answer is correct
The correct answer is C. (122). Here (d=9), so \(a_{14}=5+13\times9=122\). Use (n-1=13).
Step 3
Exam Tip
यहाँ (d=9) है इसलिए \(a_{14}=5+13\times9=122\)। (n-1=13) का उपयोग करें।
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एपी \(64,60,56,52,\ldots\) का (18)वाँ पद क्या होगा?
What is the (18)th term of the AP \(64,60,56,52,\ldots\)?
#ap
#nth-term
#easy
#class10
A (-4)
B (-2)
C (0)
D (2)
Explanation opens after your attempt
Step 1
Concept
Here (d=-4), so (a_{18}=64+17(-4)=-4). Add the negative difference (17) times.
Step 2
Why this answer is correct
The correct answer is A. (-4). Here (d=-4), so (a_{18}=64+17(-4)=-4). Add the negative difference (17) times.
Step 3
Exam Tip
यहाँ (d=-4) है इसलिए (a_{18}=64+17(-4)=-4)। (17) बार ऋणात्मक अंतर जोड़ें।
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यदि \(a_6=38\) और (d=5) है तो (13)वाँ पद क्या होगा?
If \(a_6=38\) and (d=5), what is the (13)th term?
#ap
#nth-term
#easy
#class10
A (68)
B (70)
C (73)
D (75)
Explanation opens after your attempt
Step 1
Concept
The (13)th term is (7d) after the (6)th term, so (38+35=73). Count the forward gap correctly.
Step 2
Why this answer is correct
The correct answer is C. (73). The (13)th term is (7d) after the (6)th term, so (38+35=73). Count the forward gap correctly.
Step 3
Exam Tip
(13)वाँ पद (6)वें पद से (7d) आगे है इसलिए (38+35=73)। दिए पद से आगे का अंतर सही गिनें।
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एपी \(1.5,3.0,4.5,6.0,\ldots\) का (8)वाँ पद ज्ञात करें।
Find the (8)th term of the AP \(1.5,3.0,4.5,6.0,\ldots\).
#ap
#nth-term
#easy
#class10
A (10.5)
B (11.0)
C (11.5)
D (12.0)
Explanation opens after your attempt
Step 1
Concept
Here (a=1.5) and (d=1.5), so \(a_8=12.0\). The same formula applies to decimals too.
Step 2
Why this answer is correct
The correct answer is D. (12.0). Here (a=1.5) and (d=1.5), so \(a_8=12.0\). The same formula applies to decimals too.
Step 3
Exam Tip
यहाँ (a=1.5) और (d=1.5) है इसलिए \(a_8=12.0\)। दशमलव में भी वही सूत्र लागू होता है।
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एपी \(11,19,27,35,\ldots\) का (19)वाँ पद क्या है?
What is the (19)th term of the AP \(11,19,27,35,\ldots\)?
#ap
#nth-term
#easy
#class10
A (151)
B (153)
C (155)
D (157)
Explanation opens after your attempt
Step 1
Concept
Here (d=8), so \(a_{19}=11+18\times8=155\). For the (19)th term, add (18d).
Step 2
Why this answer is correct
The correct answer is C. (155). Here (d=8), so \(a_{19}=11+18\times8=155\). For the (19)th term, add (18d).
Step 3
Exam Tip
यहाँ (d=8) है इसलिए \(a_{19}=11+18\times8=155\)। (19)वें पद के लिए (18d) जोड़ें।
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यदि (a=18) और (d=-7) है तो (6)वाँ पद क्या होगा?
If (a=18) and (d=-7), what is the (6)th term?
#ap
#nth-term
#easy
#class10
A (-17)
B (-15)
C (-13)
D (-11)
Explanation opens after your attempt
Step 1
Concept
(a_6=18+5(-7)=-17). In a decreasing AP, the answer can be negative.
Step 2
Why this answer is correct
The correct answer is A. (-17). (a_6=18+5(-7)=-17). In a decreasing AP, the answer can be negative.
Step 3
Exam Tip
(a_6=18+5(-7)=-17)। घटती एपी में उत्तर ऋणात्मक भी हो सकता है।
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एपी \(-20,-15,-10,-5,\ldots\) में (15)वाँ पद क्या होगा?
What is the (15)th term in the AP \(-20,-15,-10,-5,\ldots\)?
#ap
#nth-term
#easy
#class10
A (45)
B (48)
C (50)
D (55)
Explanation opens after your attempt
Step 1
Concept
Here (d=5), so \(a_{15}=-20+14\times5=50\). Do not get confused by the negative start.
Step 2
Why this answer is correct
The correct answer is C. (50). Here (d=5), so \(a_{15}=-20+14\times5=50\). Do not get confused by the negative start.
Step 3
Exam Tip
यहाँ (d=5) है इसलिए \(a_{15}=-20+14\times5=50\)। ऋणात्मक शुरुआत से भ्रमित न हों।
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एपी \(13,23,33,43,\ldots\) का (12)वाँ पद ज्ञात करें।
Find the (12)th term of the AP \(13,23,33,43,\ldots\).
#ap
#nth-term
#easy
#class10
A (121)
B (123)
C (125)
D (127)
Explanation opens after your attempt
Step 1
Concept
Here (d=10), so \(a_{12}=13+11\times10=123\). The (12)th term includes (11) common differences.
Step 2
Why this answer is correct
The correct answer is B. (123). Here (d=10), so \(a_{12}=13+11\times10=123\). The (12)th term includes (11) common differences.
Step 3
Exam Tip
यहाँ (d=10) है इसलिए \(a_{12}=13+11\times10=123\)। (12)वें पद में (11) सार्व अंतर जुड़ते हैं।
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यदि \(a_3=16\) और (d=7) है तो (8)वाँ पद क्या होगा?
If \(a_3=16\) and (d=7), what is the (8)th term?
#ap
#nth-term
#easy
#class10
A (49)
B (51)
C (53)
D (55)
Explanation opens after your attempt
Step 1
Concept
The (8)th term is (5d) after the (3)rd term, so (16+35=51). Count the gap between terms.
Step 2
Why this answer is correct
The correct answer is B. (51). The (8)th term is (5d) after the (3)rd term, so (16+35=51). Count the gap between terms.
Step 3
Exam Tip
(8)वाँ पद (3)रे पद से (5d) आगे है इसलिए (16+35=51)। पदों के बीच का अंतर गिनें।
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एपी \(100,97,94,91,\ldots\) का (25)वाँ पद क्या है?
What is the (25)th term of the AP \(100,97,94,91,\ldots\)?
#ap
#nth-term
#easy
#class10
A (28)
B (30)
C (32)
D (34)
Explanation opens after your attempt
Step 1
Concept
Here (d=-3), so (a_{25}=100+24(-3)=28). Up to the (25)th term, (24) differences are added.
Step 2
Why this answer is correct
The correct answer is A. (28). Here (d=-3), so (a_{25}=100+24(-3)=28). Up to the (25)th term, (24) differences are added.
Step 3
Exam Tip
यहाँ (d=-3) है इसलिए (a_{25}=100+24(-3)=28)। (25)वें पद तक (24) अंतर जुड़ते हैं।
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यदि (a=7), (d=12) और (n=8) है तो \(a_n\) क्या है?
If (a=7), (d=12), and (n=8), what is \(a_n\)?
#ap
#nth-term
#easy
#class10
A (89)
B (91)
C (93)
D (95)
Explanation opens after your attempt
Step 1
Concept
\(a_8=7+7\times12=91\). When (n=8), (7d) is added.
Step 2
Why this answer is correct
The correct answer is B. (91). \(a_8=7+7\times12=91\). When (n=8), (7d) is added.
Step 3
Exam Tip
\(a_8=7+7\times12=91\)। (n=8) होने पर (7d) जुड़ता है।
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एपी \(55,52,49,46,\ldots\) का (20)वाँ पद ज्ञात करें।
Find the (20)th term of the AP \(55,52,49,46,\ldots\).
#ap
#nth-term
#easy
#class10
A (-4)
B (-2)
C (0)
D (2)
Explanation opens after your attempt
Step 1
Concept
Here (d=-3), so (a_{20}=55+19(-3)=-2). For the (20)th term, add (19d).
Step 2
Why this answer is correct
The correct answer is B. (-2). Here (d=-3), so (a_{20}=55+19(-3)=-2). For the (20)th term, add (19d).
Step 3
Exam Tip
यहाँ (d=-3) है इसलिए (a_{20}=55+19(-3)=-2)। (20)वें पद के लिए (19d) जोड़ें।
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एपी \(25,31,37,43,\ldots\) का (10)वाँ पद क्या होगा?
What is the (10)th term of the AP \(25,31,37,43,\ldots\)?
#ap
#nth-term
#easy
#class10
A (73)
B (75)
C (77)
D (79)
Explanation opens after your attempt
Step 1
Concept
Here (d=6), so \(a_{10}=25+9\times6=79\). The (10)th term has (9) differences.
Step 2
Why this answer is correct
The correct answer is D. (79). Here (d=6), so \(a_{10}=25+9\times6=79\). The (10)th term has (9) differences.
Step 3
Exam Tip
यहाँ (d=6) है इसलिए \(a_{10}=25+9\times6=79\)। (10)वें पद में (9) अंतर होते हैं।
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यदि एपी का प्रथम पद (-12) और सार्व अंतर (5) है तो (16)वाँ पद क्या होगा?
If the first term of an AP is (-12) and the common difference is (5), what is the (16)th term?
#ap
#nth-term
#easy
#class10
A (61)
B (63)
C (65)
D (67)
Explanation opens after your attempt
Step 1
Concept
\(a_{16}=-12+15\times5=63\). First calculate (15d), then add the first term.
Step 2
Why this answer is correct
The correct answer is B. (63). \(a_{16}=-12+15\times5=63\). First calculate (15d), then add the first term.
Step 3
Exam Tip
\(a_{16}=-12+15\times5=63\)। पहले (15d) निकालें फिर प्रथम पद जोड़ें।
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एपी \(2,11,20,29,\ldots\) का (18)वाँ पद ज्ञात कीजिए।
Find the (18)th term of the AP \(2,11,20,29,\ldots\).
#ap
#nth-term
#easy
#class10
A (151)
B (153)
C (155)
D (157)
Explanation opens after your attempt
Step 1
Concept
Here (d=9), so \(a_{18}=2+17\times9=155\). Use the same formula even for a large term number.
Step 2
Why this answer is correct
The correct answer is C. (155). Here (d=9), so \(a_{18}=2+17\times9=155\). Use the same formula even for a large term number.
Step 3
Exam Tip
यहाँ (d=9) है इसलिए \(a_{18}=2+17\times9=155\)। बड़ी पद संख्या में भी वही सूत्र लगाएं।
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एपी \(90,82,74,66,\ldots\) का (9)वाँ पद क्या है?
What is the (9)th term of the AP \(90,82,74,66,\ldots\)?
#ap
#nth-term
#easy
#class10
A (24)
B (26)
C (28)
D (30)
Explanation opens after your attempt
Step 1
Concept
Here (d=-8), so (a_9=90+8(-8)=26). Keep the sign of the common difference correct.
Step 2
Why this answer is correct
The correct answer is B. (26). Here (d=-8), so (a_9=90+8(-8)=26). Keep the sign of the common difference correct.
Step 3
Exam Tip
यहाँ (d=-8) है इसलिए (a_9=90+8(-8)=26)। सार्व अंतर का चिह्न सही रखें।
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यदि \(a_5=27\) और (d=4) है तो (11)वाँ पद क्या होगा?
If \(a_5=27\) and (d=4), what is the (11)th term?
#ap
#nth-term
#easy
#class10
A (47)
B (49)
C (51)
D (53)
Explanation opens after your attempt
Step 1
Concept
The (11)th term is (6d) after the (5)th term, so (27+24=51). Moving ahead from the given term is quick.
Step 2
Why this answer is correct
The correct answer is C. (51). The (11)th term is (6d) after the (5)th term, so (27+24=51). Moving ahead from the given term is quick.
Step 3
Exam Tip
(11)वाँ पद (5)वें पद से (6d) आगे है इसलिए (27+24=51)। दिए पद से आगे बढ़ना तेज तरीका है।
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एपी \(\frac{1}{3},\frac{2}{3},1,\frac{4}{3},\ldots\) का (12)वाँ पद ज्ञात करें।
Find the (12)th term of the AP \(\frac{1}{3},\frac{2}{3},1,\frac{4}{3},\ldots\).
#ap
#nth-term
#easy
#class10
A (3)
B \(\frac{10}{3}\)
C \(\frac{11}{3}\)
D (4)
Explanation opens after your attempt
Step 1
Concept
Here \(a=\frac{1}{3}\) and \(d=\frac{1}{3}\), so \(a_{12}=4\). Keep denominators common in fractions.
Step 2
Why this answer is correct
The correct answer is D. (4). Here \(a=\frac{1}{3}\) and \(d=\frac{1}{3}\), so \(a_{12}=4\). Keep denominators common in fractions.
Step 3
Exam Tip
यहाँ \(a=\frac{1}{3}\) और \(d=\frac{1}{3}\) है इसलिए \(a_{12}=4\)। भिन्नों में हर समान रखें।
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एपी \(15,22,29,36,\ldots\) का (17)वाँ पद क्या होगा?
What is the (17)th term of the AP \(15,22,29,36,\ldots\)?
#ap
#nth-term
#easy
#class10
A (125)
B (127)
C (129)
D (131)
Explanation opens after your attempt
Step 1
Concept
Here (d=7), so \(a_{17}=15+16\times7=127\). For the (17)th term, add (16) differences.
Step 2
Why this answer is correct
The correct answer is B. (127). Here (d=7), so \(a_{17}=15+16\times7=127\). For the (17)th term, add (16) differences.
Step 3
Exam Tip
यहाँ (d=7) है इसलिए \(a_{17}=15+16\times7=127\)। (17)वें पद के लिए (16) अंतर जोड़ें।
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यदि (a=80), (d=-5) और (n=14) हो तो \(a_n\) ज्ञात करें।
If (a=80), (d=-5), and (n=14), find \(a_n\).
#ap
#nth-term
#easy
#class10
A (10)
B (15)
C (20)
D (25)
Explanation opens after your attempt
Step 1
Concept
(a_{14}=80+13(-5)=15). Write negative (d) in brackets.
Step 2
Why this answer is correct
The correct answer is B. (15). (a_{14}=80+13(-5)=15). Write negative (d) in brackets.
Step 3
Exam Tip
(a_{14}=80+13(-5)=15)। ऋणात्मक (d) को कोष्ठक में लिखें।
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एपी \(4,12,20,28,\ldots\) का (15)वाँ पद क्या है?
What is the (15)th term of the AP \(4,12,20,28,\ldots\)?
#ap
#nth-term
#easy
#class10
A (108)
B (112)
C (116)
D (120)
Explanation opens after your attempt
Step 1
Concept
Here (a=4) and (d=8), so \(a_{15}=4+14\times8=116\). Keep (n-1) correct.
Step 2
Why this answer is correct
The correct answer is C. (116). Here (a=4) and (d=8), so \(a_{15}=4+14\times8=116\). Keep (n-1) correct.
Step 3
Exam Tip
यहाँ (a=4) और (d=8) है इसलिए \(a_{15}=4+14\times8=116\)। (n-1) को सही रखें।
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यदि किसी एपी का प्रथम पद (9) और सार्व अंतर (10) है तो (7)वाँ पद क्या होगा?
If the first term of an AP is (9) and the common difference is (10), what is the (7)th term?
#ap
#nth-term
#easy
#class10
A (59)
B (69)
C (79)
D (89)
Explanation opens after your attempt
Step 1
Concept
\(a_7=9+6\times10=69\). For the (7)th term, (6d) is added.
Step 2
Why this answer is correct
The correct answer is B. (69). \(a_7=9+6\times10=69\). For the (7)th term, (6d) is added.
Step 3
Exam Tip
\(a_7=9+6\times10=69\)। (7)वें पद के लिए (6d) जोड़ना होता है।
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एपी \(72,66,60,54,\ldots\) में (8)वाँ पद क्या होगा?
What is the (8)th term in the AP \(72,66,60,54,\ldots\)?
#ap
#nth-term
#easy
#class10
A (24)
B (28)
C (30)
D (36)
Explanation opens after your attempt
Step 1
Concept
Here (d=-6), so (a_8=72+7(-6)=30). For the (8)th term, add (7d).
Step 2
Why this answer is correct
The correct answer is C. (30). Here (d=-6), so (a_8=72+7(-6)=30). For the (8)th term, add (7d).
Step 3
Exam Tip
यहाँ (d=-6) है इसलिए (a_8=72+7(-6)=30)। (8)वें पद के लिए (7d) जोड़ें।
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एपी \(-4,2,8,14,\ldots\) का (13)वाँ पद ज्ञात करें।
Find the (13)th term of the AP \(-4,2,8,14,\ldots\).
#ap
#nth-term
#easy
#class10
A (64)
B (66)
C (68)
D (70)
Explanation opens after your attempt
Step 1
Concept
Here (d=6), so \(a_{13}=-4+12\times6=68\). Add carefully when the first term is negative.
Step 2
Why this answer is correct
The correct answer is C. (68). Here (d=6), so \(a_{13}=-4+12\times6=68\). Add carefully when the first term is negative.
Step 3
Exam Tip
यहाँ (d=6) है इसलिए \(a_{13}=-4+12\times6=68\)। ऋणात्मक प्रथम पद के साथ जोड़ सावधानी से करें।
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यदि (a=6) और (d=8) है तो (12)वाँ पद क्या होगा?
If (a=6) and (d=8), what is the (12)th term?
#ap
#nth-term
#easy
#class10
A (88)
B (92)
C (94)
D (96)
Explanation opens after your attempt
Step 1
Concept
\(a_{12}=6+11\times8=94\). Up to the (12)th term, (11) differences are added.
Step 2
Why this answer is correct
The correct answer is C. (94). \(a_{12}=6+11\times8=94\). Up to the (12)th term, (11) differences are added.
Step 3
Exam Tip
\(a_{12}=6+11\times8=94\)। (12)वें पद तक (11) अंतर जुड़ते हैं।
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एपी \(45,41,37,33,\ldots\) का (10)वाँ पद क्या है?
What is the (10)th term of the AP \(45,41,37,33,\ldots\)?
#ap
#nth-term
#easy
#class10
A (9)
B (11)
C (13)
D (15)
Explanation opens after your attempt
Step 1
Concept
Here (d=-4), so (a_{10}=45+9(-4)=9). In a decreasing AP, take (d) as negative.
Step 2
Why this answer is correct
The correct answer is A. (9). Here (d=-4), so (a_{10}=45+9(-4)=9). In a decreasing AP, take (d) as negative.
Step 3
Exam Tip
यहाँ (d=-4) है इसलिए (a_{10}=45+9(-4)=9)। घटती एपी में (d) ऋणात्मक लें।
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एपी \(3,8,13,18,\ldots\) का (9)वाँ पद ज्ञात कीजिए।
Find the (9)th term of the AP \(3,8,13,18,\ldots\).
#ap
#nth-term
#easy
#class10
A (38)
B (40)
C (43)
D (45)
Explanation opens after your attempt
Step 1
Concept
Here (a=3) and (d=5), so \(a_9=3+8\times5=43\). First identify the common difference.
Step 2
Why this answer is correct
The correct answer is C. (43). Here (a=3) and (d=5), so \(a_9=3+8\times5=43\). First identify the common difference.
Step 3
Exam Tip
यहाँ (a=3) और (d=5) है इसलिए \(a_9=3+8\times5=43\)। पहले सार्व अंतर पहचानें।
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यदि किसी एपी में (a=14), (d=3) और (n=11) है तो \(a_n\) क्या होगा?
If an AP has (a=14), (d=3), and (n=11), what is \(a_n\)?
#ap
#nth-term
#easy
#class10
A (41)
B (44)
C (47)
D (50)
Explanation opens after your attempt
Step 1
Concept
Using (a_n=a+(n-1)d), \(a_{11}=14+10\times3=44\). In exams, first find (n-1).
Step 2
Why this answer is correct
The correct answer is B. (44). Using (a_n=a+(n-1)d), \(a_{11}=14+10\times3=44\). In exams, first find (n-1).
Step 3
Exam Tip
(a_n=a+(n-1)d) से \(a_{11}=14+10\times3=44\)। परीक्षा में पहले (n-1) निकालें।
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एपी \(\frac{2}{3},\frac{5}{3},\frac{8}{3},\frac{11}{3},\ldots\) का (7)वाँ पद ज्ञात करें।
Find the (7)th term of the AP \(\frac{2}{3},\frac{5}{3},\frac{8}{3},\frac{11}{3},\ldots\).
#ap
#nth-term
#easy
#class10
A \(\frac{18}{3}\)
B \(\frac{19}{3}\)
C \(\frac{20}{3}\)
D \(\frac{21}{3}\)
Explanation opens after your attempt
Correct Answer
C. \(\frac{20}{3}\)
Step 1
Concept
Here (d=1), so \(a_7=\frac{2}{3}+6=\frac{20}{3}\). Convert the whole number into a fraction before adding.
Step 2
Why this answer is correct
The correct answer is C. \(\frac{20}{3}\). Here (d=1), so \(a_7=\frac{2}{3}+6=\frac{20}{3}\). Convert the whole number into a fraction before adding.
Step 3
Exam Tip
यहाँ (d=1) है इसलिए \(a_7=\frac{2}{3}+6=\frac{20}{3}\)। पूर्ण संख्या को भिन्न में बदलकर जोड़ें।
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एपी \(6,6,6,6,\ldots\) का (100)वाँ पद क्या होगा?
What is the (100)th term of the AP \(6,6,6,6,\ldots\)?
#ap
#nth-term
#easy
#class10
A (6)
B (60)
C (100)
D (600)
Explanation opens after your attempt
Step 1
Concept
Here (d=0), so \(a_{100}=6\). In a constant AP, every term is the same.
Step 2
Why this answer is correct
The correct answer is A. (6). Here (d=0), so \(a_{100}=6\). In a constant AP, every term is the same.
Step 3
Exam Tip
यहाँ (d=0) है इसलिए \(a_{100}=6\)। स्थिर एपी में हर पद समान होता है।
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यदि \(a_2=10\) और (d=4) है तो (6)वाँ पद क्या होगा?
If \(a_2=10\) and (d=4), what is the (6)th term?
#ap
#nth-term
#easy
#class10
A (22)
B (24)
C (26)
D (28)
Explanation opens after your attempt
Step 1
Concept
The (6)th term is (4d) after the (2)nd term, so (10+16=26). Solve by moving forward from the given term.
Step 2
Why this answer is correct
The correct answer is C. (26). The (6)th term is (4d) after the (2)nd term, so (10+16=26). Solve by moving forward from the given term.
Step 3
Exam Tip
(6)वाँ पद (2)रे पद से (4d) आगे है इसलिए (10+16=26)। दिए पद से आगे बढ़कर हल करें।
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एपी \(35,30,25,20,\ldots\) का (18)वाँ पद ज्ञात करें।
Find the (18)th term of the AP \(35,30,25,20,\ldots\).
#ap
#nth-term
#easy
#class10
A (-50)
B (-48)
C (-46)
D (-44)
Explanation opens after your attempt
Step 1
Concept
Here (d=-5), so (a_{18}=35+17(-5)=-50). You need to add (-5) seventeen times.
Step 2
Why this answer is correct
The correct answer is A. (-50). Here (d=-5), so (a_{18}=35+17(-5)=-50). You need to add (-5) seventeen times.
Step 3
Exam Tip
यहाँ (d=-5) है इसलिए (a_{18}=35+17(-5)=-50)। (17) बार (-5) जोड़ना है।
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एपी \(1,8,15,22,\ldots\) का (22)वाँ पद क्या है?
What is the (22)nd term of the AP \(1,8,15,22,\ldots\)?
#ap
#nth-term
#easy
#class10
A (146)
B (148)
C (150)
D (152)
Explanation opens after your attempt
Step 1
Concept
Here (d=7), so \(a_{22}=1+21\times7=148\). For the (22)nd term, add (21d).
Step 2
Why this answer is correct
The correct answer is B. (148). Here (d=7), so \(a_{22}=1+21\times7=148\). For the (22)nd term, add (21d).
Step 3
Exam Tip
यहाँ (d=7) है इसलिए \(a_{22}=1+21\times7=148\)। (22)वें पद के लिए (21d) जोड़ें।
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यदि (a=60) और (d=-6) है तो (9)वाँ पद क्या होगा?
If (a=60) and (d=-6), what is the (9)th term?
#ap
#nth-term
#easy
#class10
A (10)
B (12)
C (14)
D (16)
Explanation opens after your attempt
Step 1
Concept
(a_9=60+8(-6)=12). First calculate (8d), then add it to the first term.
Step 2
Why this answer is correct
The correct answer is B. (12). (a_9=60+8(-6)=12). First calculate (8d), then add it to the first term.
Step 3
Exam Tip
(a_9=60+8(-6)=12)। पहले (8d) निकालें फिर प्रथम पद में जोड़ें।
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एपी \(-8,-3,2,7,\ldots\) का (11)वाँ पद ज्ञात करें।
Find the (11)th term of the AP \(-8,-3,2,7,\ldots\).
#ap
#nth-term
#easy
#class10
A (40)
B (42)
C (44)
D (46)
Explanation opens after your attempt
Step 1
Concept
Here (d=5), so \(a_{11}=-8+10\times5=42\). The formula remains the same even with a negative start.
Step 2
Why this answer is correct
The correct answer is B. (42). Here (d=5), so \(a_{11}=-8+10\times5=42\). The formula remains the same even with a negative start.
Step 3
Exam Tip
यहाँ (d=5) है इसलिए \(a_{11}=-8+10\times5=42\)। ऋणात्मक शुरुआत के बाद भी सूत्र वही रहता है।
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एपी \(17,24,31,38,\ldots\) का (6)वाँ पद क्या होगा?
What is the (6)th term of the AP \(17,24,31,38,\ldots\)?
#ap
#nth-term
#easy
#class10
A (50)
B (52)
C (54)
D (56)
Explanation opens after your attempt
Step 1
Concept
Here (d=7), so \(a_6=17+5\times7=52\). The (6)th term has (5) differences.
Step 2
Why this answer is correct
The correct answer is B. (52). Here (d=7), so \(a_6=17+5\times7=52\). The (6)th term has (5) differences.
Step 3
Exam Tip
यहाँ (d=7) है इसलिए \(a_6=17+5\times7=52\)। (6)वें पद में (5) अंतर होते हैं।
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यदि (a=9), (d=6) और (n=13) है तो \(a_n\) ज्ञात करें।
If (a=9), (d=6), and (n=13), find \(a_n\).
#ap
#nth-term
#easy
#class10
A (77)
B (79)
C (81)
D (83)
Explanation opens after your attempt
Step 1
Concept
\(a_{13}=9+12\times6=81\). Use (n-1=12).
Step 2
Why this answer is correct
The correct answer is C. (81). \(a_{13}=9+12\times6=81\). Use (n-1=12).
Step 3
Exam Tip
\(a_{13}=9+12\times6=81\)। (n-1=12) का उपयोग करें।
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एपी \(24,21,18,15,\ldots\) का (19)वाँ पद क्या है?
What is the (19)th term of the AP \(24,21,18,15,\ldots\)?
#ap
#nth-term
#easy
#class10
A (-30)
B (-28)
C (-26)
D (-24)
Explanation opens after your attempt
Step 1
Concept
Here (d=-3), so (a_{19}=24+18(-3)=-30). For the (19)th term, (18d) is added.
Step 2
Why this answer is correct
The correct answer is A. (-30). Here (d=-3), so (a_{19}=24+18(-3)=-30). For the (19)th term, (18d) is added.
Step 3
Exam Tip
यहाँ (d=-3) है इसलिए (a_{19}=24+18(-3)=-30)। (19)वें पद के लिए (18d) जुड़ता है।
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यदि किसी एपी का (3)रा पद (14) और (d=5) है तो (7)वाँ पद क्या होगा?
If the (3)rd term of an AP is (14) and (d=5), what is the (7)th term?
#ap
#nth-term
#easy
#class10
A (29)
B (31)
C (34)
D (36)
Explanation opens after your attempt
Step 1
Concept
The (7)th term is (4d) after the (3)rd term, so (14+20=34). Count the gap between terms correctly.
Step 2
Why this answer is correct
The correct answer is C. (34). The (7)th term is (4d) after the (3)rd term, so (14+20=34). Count the gap between terms correctly.
Step 3
Exam Tip
(7)वाँ पद (3)रे पद से (4d) आगे है इसलिए (14+20=34)। बीच के पदों की संख्या सही गिनें।
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एपी \(\frac{3}{2},\frac{5}{2},\frac{7}{2},\frac{9}{2},\ldots\) का (8)वाँ पद क्या है?
What is the (8)th term of the AP \(\frac{3}{2},\frac{5}{2},\frac{7}{2},\frac{9}{2},\ldots\)?
#ap
#nth-term
#easy
#class10
A \(\frac{15}{2}\)
B \(\frac{17}{2}\)
C \(\frac{19}{2}\)
D \(\frac{21}{2}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{17}{2}\)
Step 1
Concept
Here \(a=\frac{3}{2}\) and (d=1), so \(a_8=\frac{17}{2}\). Watch the denominator carefully in fractional terms.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{17}{2}\). Here \(a=\frac{3}{2}\) and (d=1), so \(a_8=\frac{17}{2}\). Watch the denominator carefully in fractional terms.
Step 3
Exam Tip
यहाँ \(a=\frac{3}{2}\) और (d=1) है इसलिए \(a_8=\frac{17}{2}\)। भिन्न वाले पदों में हर को ध्यान से देखें।
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एपी \(12,20,28,36,\ldots\) का (14)वाँ पद ज्ञात करें।
Find the (14)th term of the AP \(12,20,28,36,\ldots\).
#ap
#nth-term
#easy
#class10
A (112)
B (114)
C (116)
D (118)
Explanation opens after your attempt
Step 1
Concept
Here (d=8), so \(a_{14}=12+13\times8=116\). Adding (13d) is correct.
Step 2
Why this answer is correct
The correct answer is C. (116). Here (d=8), so \(a_{14}=12+13\times8=116\). Adding (13d) is correct.
Step 3
Exam Tip
यहाँ (d=8) है इसलिए \(a_{14}=12+13\times8=116\)। (13d) जोड़ना सही है।
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यदि \(a_4=18\) और (d=3) है तो (9)वाँ पद क्या होगा?
If \(a_4=18\) and (d=3), what is the (9)th term?
#ap
#nth-term
#easy
#class10
A (30)
B (31)
C (32)
D (33)
Explanation opens after your attempt
Step 1
Concept
The (9)th term is (5d) after the (4)th term, so (18+15=33). Moving forward from the given term is quick.
Step 2
Why this answer is correct
The correct answer is D. (33). The (9)th term is (5d) after the (4)th term, so (18+15=33). Moving forward from the given term is quick.
Step 3
Exam Tip
(9)वाँ पद (4)वें पद से (5d) आगे है इसलिए (18+15=33)। दिए हुए पद से आगे बढ़ना तेज तरीका है।
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एपी \(21,19,17,15,\ldots\) का (16)वाँ पद क्या है?
What is the (16)th term of the AP \(21,19,17,15,\ldots\)?
#ap
#nth-term
#easy
#class10
A (-9)
B (-7)
C (-5)
D (-3)
Explanation opens after your attempt
Step 1
Concept
Here (d=-2), so (a_{16}=21+15(-2)=-9). Up to the (16)th term, the difference is added (15) times.
Step 2
Why this answer is correct
The correct answer is A. (-9). Here (d=-2), so (a_{16}=21+15(-2)=-9). Up to the (16)th term, the difference is added (15) times.
Step 3
Exam Tip
यहाँ (d=-2) है इसलिए (a_{16}=21+15(-2)=-9)। (16)वें पद तक (15) बार अंतर जुड़ता है।
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