100 results found for "3.28 million" in Class 10.
हिंदुस्तान सोशलिस्ट रिपब्लिकन एसोसिएशन का नामकरण किस वर्ष हुआ था?
The Hindustan Socialist Republican Association was named in which year?
#hsra
#1928
#revolutionary movement
A 1924 ईस्वी / 1924 CE
B 1925 ईस्वी / 1925 CE
C 1928 ईस्वी / 1928 CE
D 1931 ईस्वी / 1931 CE
Explanation opens after your attempt
Correct Answer
C. 1928 ईस्वी / 1928 CE
Step 1
Concept
The naming of the Hindustan Socialist Republican Association is linked with 1928. For exams remember changes in revolutionary organizations.
Step 2
Why this answer is correct
The correct answer is C. 1928 ईस्वी / 1928 CE. The naming of the Hindustan Socialist Republican Association is linked with 1928. For exams remember changes in revolutionary organizations.
Step 3
Exam Tip
हिंदुस्तान सोशलिस्ट रिपब्लिकन एसोसिएशन का नामकरण 1928 से जुड़ा है। परीक्षा में क्रांतिकारी संगठनों के परिवर्तन याद रखें।
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बर्धोली सत्याग्रह किस वर्ष हुआ था?
The Bardoli Satyagraha took place in which year?
#bardoli satyagraha
#1928
#sardar patel
A 1925 ईस्वी / 1925 CE
B 1928 ईस्वी / 1928 CE
C 1930 ईस्वी / 1930 CE
D 1932 ईस्वी / 1932 CE
Explanation opens after your attempt
Correct Answer
B. 1928 ईस्वी / 1928 CE
Step 1
Concept
The Bardoli Satyagraha took place in 1928 and is linked with Sardar Patel's leadership. For exams remember peasant movements with leaders.
Step 2
Why this answer is correct
The correct answer is B. 1928 ईस्वी / 1928 CE. The Bardoli Satyagraha took place in 1928 and is linked with Sardar Patel's leadership. For exams remember peasant movements with leaders.
Step 3
Exam Tip
बर्धोली सत्याग्रह 1928 में सरदार पटेल के नेतृत्व से जुड़ा है। परीक्षा में किसान आंदोलनों और नेताओं को साथ याद रखें।
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रानी लक्ष्मीबाई का जन्म किस वर्ष हुआ था?
Rani Lakshmibai was born in which year?
#rani lakshmibai
#1828
#1857 revolt
A 1828 ईस्वी / 1828 CE
B 1857 ईस्वी / 1857 CE
C 1858 ईस्वी / 1858 CE
D 1885 ईस्वी / 1885 CE
Explanation opens after your attempt
Correct Answer
A. 1828 ईस्वी / 1828 CE
Step 1
Concept
Rani Lakshmibai was born in 1828 CE. For exams connect her with the Revolt of 1857.
Step 2
Why this answer is correct
The correct answer is A. 1828 ईस्वी / 1828 CE. Rani Lakshmibai was born in 1828 CE. For exams connect her with the Revolt of 1857.
Step 3
Exam Tip
रानी लक्ष्मीबाई का जन्म 1828 ईस्वी में हुआ था। परीक्षा में उन्हें 1857 के विद्रोह से जोड़ें।
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शाहजहां का शासन आरंभ किस वर्ष हुआ था?
Shah Jahan's reign began in which year?
#shah jahan
#1628
#mughal
A 1605 ईस्वी / 1605 CE
B 1628 ईस्वी / 1628 CE
C 1658 ईस्वी / 1658 CE
D 1707 ईस्वी / 1707 CE
Explanation opens after your attempt
Correct Answer
B. 1628 ईस्वी / 1628 CE
Step 1
Concept
Shah Jahan's reign began in 1628 CE. For exams connect Shah Jahan with Mughal architecture.
Step 2
Why this answer is correct
The correct answer is B. 1628 ईस्वी / 1628 CE. Shah Jahan's reign began in 1628 CE. For exams connect Shah Jahan with Mughal architecture.
Step 3
Exam Tip
शाहजहां का शासन 1628 ईस्वी में शुरू हुआ। परीक्षा में शाहजहां को मुगल स्थापत्य से जोड़कर याद रखें।
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अहोम विद्रोह अठारह सौ अट्ठाईस में किस क्षेत्र में हुआ था?
The Ahom Revolt of 1828 took place in which region?
#indian history
#ahom revolt
#assam
#gk
A असम / Assam
B गुजरात / Gujarat
C मालाबार / Malabar
D बुंदेलखंड / Bundelkhand
Explanation opens after your attempt
Correct Answer
A. असम / Assam
Step 1
Concept
The Ahom Revolt occurred in Assam against British interference. Link it with early resistance in North-East India.
Step 2
Why this answer is correct
The correct answer is A. असम / Assam. The Ahom Revolt occurred in Assam against British interference. Link it with early resistance in North-East India.
Step 3
Exam Tip
अहोम विद्रोह असम में ब्रिटिश हस्तक्षेप के विरुद्ध हुआ था। इसे उत्तर-पूर्व भारत के प्रारम्भिक प्रतिरोध से जोड़ें।
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नेहरू रिपोर्ट 1928 को भारतीय संवैधानिक सोच का उदाहरण क्यों माना जाता है?
Why is the Nehru Report of 1928 considered an example of Indian constitutional thinking?
#indian-freedom-movement
#nehru-report
#constitution
A क्योंकि यह भारतीय नेताओं द्वारा तैयार संवैधानिक मसौदा था / Because it was a constitutional draft prepared by Indian leaders
B क्योंकि यह आजाद हिंद फौज की योजना थी / Because it was an INA plan
C क्योंकि यह ब्रिटिश सेना का नियम था / Because it was a British army rule
D क्योंकि यह केवल किसान आंदोलन था / Because it was only a peasant movement
Explanation opens after your attempt
Correct Answer
A. क्योंकि यह भारतीय नेताओं द्वारा तैयार संवैधानिक मसौदा था / Because it was a constitutional draft prepared by Indian leaders
Step 1
Concept
The Nehru Report was an attempt by Indians to give a constitutional framework. Exam tip is to remember the Motilal Nehru committee.
Step 2
Why this answer is correct
The correct answer is A. क्योंकि यह भारतीय नेताओं द्वारा तैयार संवैधानिक मसौदा था / Because it was a constitutional draft prepared by Indian leaders. The Nehru Report was an attempt by Indians to give a constitutional framework. Exam tip is to remember the Motilal Nehru committee.
Step 3
Exam Tip
नेहरू रिपोर्ट भारतीयों की ओर से संविधान का प्रारूप देने का प्रयास थी। परीक्षा में मोतीलाल नेहरू समिति याद रखें।
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नेहरू रिपोर्ट 1928 किस प्रकार की राजनीतिक कोशिश थी?
What kind of political effort was the Nehru Report of 1928?
#indian-freedom-movement
#nehru-report
#constitution
A भारतीय नेताओं द्वारा संवैधानिक मसौदा तैयार करने की कोशिश / An effort by Indian leaders to prepare a constitutional draft
B कंपनी शासन वापस लाने की कोशिश / An effort to restore Company rule
C नमक कानून बनाने की कोशिश / An effort to make salt law
D रेलवे बंद करने की कोशिश / An effort to close railways
Explanation opens after your attempt
Correct Answer
A. भारतीय नेताओं द्वारा संवैधानिक मसौदा तैयार करने की कोशिश / An effort by Indian leaders to prepare a constitutional draft
Step 1
Concept
The Nehru Report was an example of Indian constitutional thinking. Exam tip is to link it with the Motilal Nehru committee.
Step 2
Why this answer is correct
The correct answer is A. भारतीय नेताओं द्वारा संवैधानिक मसौदा तैयार करने की कोशिश / An effort by Indian leaders to prepare a constitutional draft. The Nehru Report was an example of Indian constitutional thinking. Exam tip is to link it with the Motilal Nehru committee.
Step 3
Exam Tip
नेहरू रिपोर्ट भारतीयों की संवैधानिक सोच का उदाहरण थी। परीक्षा में मोतीलाल नेहरू समिति से जोड़ें।
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साइमन कमीशन भारत किस वर्ष आया था?
In which year did the Simon Commission come to India?
#indian freedom movement
#simon commission
#1928
A 1928
B 1919
C 1930
D 1946
Explanation opens after your attempt
Step 1
Concept
The Simon Commission came to India in 1928. Exam tip: connect it with protest because it had no Indian member.
Step 2
Why this answer is correct
The correct answer is A. 1928. The Simon Commission came to India in 1928. Exam tip: connect it with protest because it had no Indian member.
Step 3
Exam Tip
साइमन कमीशन 1928 में भारत आया। परीक्षा में इसे भारतीय सदस्य न होने के विरोध से जोड़ें।
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नेहरू रिपोर्ट 1928 को भारतीयों की संवैधानिक क्षमता का प्रमाण क्यों माना गया?
Why was the Nehru Report 1928 seen as proof of Indians' constitutional ability?
#modern indian history
#nehru report
#constitutional reform
A भारतीय नेताओं ने स्वयं संवैधानिक रूपरेखा प्रस्तुत की / Indian leaders themselves presented a constitutional framework
B ब्रिटिश संसद ने इसे लिखा / British Parliament wrote it
C इसने कंपनी शासन शुरू किया / It started Company rule
D इसने जजिया लगाया / It imposed Jizya
Explanation opens after your attempt
Correct Answer
A. भारतीय नेताओं ने स्वयं संवैधानिक रूपरेखा प्रस्तुत की / Indian leaders themselves presented a constitutional framework
Step 1
Concept
The Nehru Report was an Indian proposal in response to the Simon Commission. Exam tip: connect it with demand for self-government.
Step 2
Why this answer is correct
The correct answer is A. भारतीय नेताओं ने स्वयं संवैधानिक रूपरेखा प्रस्तुत की / Indian leaders themselves presented a constitutional framework. The Nehru Report was an Indian proposal in response to the Simon Commission. Exam tip: connect it with demand for self-government.
Step 3
Exam Tip
नेहरू रिपोर्ट साइमन कमीशन के जवाब में भारतीय प्रस्ताव थी। परीक्षा में इसे स्वशासन की मांग से जोड़ें।
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नेहरू रिपोर्ट 1928 और जिन्ना के चौदह सूत्रों का संबंध किस मुद्दे से था?
The Nehru Report of 1928 and Jinnah's Fourteen Points were related to which issue?
#modern-indian-history
#nehru-report
#jinnah-fourteen-points
A संवैधानिक ढाँचे और अल्पसंख्यक प्रतिनिधित्व / Constitutional framework and minority representation
B कंपनी व्यापार और दीवानी / Company trade and Diwani
C कृषि कर और नील खेती / Land tax and indigo cultivation
D रेलवे और डाक सेवा / Railways and postal service
Explanation opens after your attempt
Correct Answer
A. संवैधानिक ढाँचे और अल्पसंख्यक प्रतिनिधित्व / Constitutional framework and minority representation
Step 1
Concept
After the Nehru Report differences emerged over representation and rights. Exam tip is to link it with constitutional politics.
Step 2
Why this answer is correct
The correct answer is A. संवैधानिक ढाँचे और अल्पसंख्यक प्रतिनिधित्व / Constitutional framework and minority representation. After the Nehru Report differences emerged over representation and rights. Exam tip is to link it with constitutional politics.
Step 3
Exam Tip
नेहरू रिपोर्ट के बाद प्रतिनिधित्व और अधिकारों पर मतभेद उभरे। परीक्षा में इसे संवैधानिक राजनीति से जोड़ें।
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ब्रह्म समाज की स्थापना किस वर्ष हुई थी?
In which year was the Brahmo Samaj founded?
#modern indian history
#brahmo samaj
#1828
A 1875
B 1897
C 1905
D 1828
Explanation opens after your attempt
Step 1
Concept
Brahmo Samaj was founded in 1828. Exam tip: connect it with Raja Rammohan Roy and socio-religious reform.
Step 2
Why this answer is correct
The correct answer is D. 1828. Brahmo Samaj was founded in 1828. Exam tip: connect it with Raja Rammohan Roy and socio-religious reform.
Step 3
Exam Tip
ब्रह्म समाज की स्थापना 1828 में हुई थी। परीक्षा में इसे राजा राममोहन राय और सामाजिक धार्मिक सुधार से जोड़ें।
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नेहरू रिपोर्ट 1928 का मुख्य महत्व क्या था?
What was the main importance of the Nehru Report of 1928?
#modern-indian-history
#nehru-report
#class-10
A भारतीयों द्वारा संवैधानिक ढाँचे का प्रस्ताव / A constitutional framework proposed by Indians
B कंपनी शासन का अंत / End of Company rule
C दांडी मार्च की शुरुआत / Beginning of Dandi March
D प्लासी युद्ध की योजना / Plan of Battle of Plassey
Explanation opens after your attempt
Correct Answer
A. भारतीयों द्वारा संवैधानिक ढाँचे का प्रस्ताव / A constitutional framework proposed by Indians
Step 1
Concept
The Nehru Report was an example of Indian leaders' constitutional thinking. Exam tip is to link it with the Motilal Nehru committee.
Step 2
Why this answer is correct
The correct answer is A. भारतीयों द्वारा संवैधानिक ढाँचे का प्रस्ताव / A constitutional framework proposed by Indians. The Nehru Report was an example of Indian leaders' constitutional thinking. Exam tip is to link it with the Motilal Nehru committee.
Step 3
Exam Tip
नेहरू रिपोर्ट भारतीय नेताओं की संवैधानिक सोच का उदाहरण थी। परीक्षा में इसे मोतीलाल नेहरू समिति से जोड़ें।
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साइमन कमीशन भारत कब आया था?
When did the Simon Commission come to India?
#modern indian history
#simon commission
#1928
A 1919
B 1920
C 1928
D 1946
Explanation opens after your attempt
Step 1
Concept
The Simon Commission came to India in 1928. Exam tip: connect it with protests because it had no Indian member.
Step 2
Why this answer is correct
The correct answer is C. 1928. The Simon Commission came to India in 1928. Exam tip: connect it with protests because it had no Indian member.
Step 3
Exam Tip
साइमन कमीशन 1928 में भारत आया था। परीक्षा में इसे भारतीय सदस्य न होने के विरोध से जोड़ें।
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एक विद्यार्थी पहले महीने (70) पेज पढ़ता है और हर अगले महीने (28) पेज अधिक पढ़ता है। किस महीने वह (434) पेज पढ़ेगा?
A student reads (70) pages in the first month and (28) pages more each next month. In which month will the student read (434) pages?
#ap
#word-problem
#reading
#target-month
A (12)
B (13)
C (14)
D (15)
Explanation opens after your attempt
Step 1
Concept
From (70+(n-1)28=434), (n=14). Exam tip: set the target amount equal to \(a_n\).
Step 2
Why this answer is correct
The correct answer is C. (14). From (70+(n-1)28=434), (n=14). Exam tip: set the target amount equal to \(a_n\).
Step 3
Exam Tip
(70+(n-1)28=434) से (n=14) मिलता है। परीक्षा में लक्ष्य मात्रा को \(a_n\) के बराबर रखें।
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एक निर्माण दल पहले दिन (28) घंटे काम करता है और हर अगले दिन (9) घंटे अधिक काम करता है। (15) दिनों में कुल कितने घंटे काम होगा?
A construction team works (28) hours on the first day and (9) more hours each next day. How many hours of work are done in (15) days?
#ap
#word-problem
#construction
#total
A (1335)
B (1365)
C (1385)
D (1415)
Explanation opens after your attempt
Step 1
Concept
The work hours are \(28,37,46,\ldots\) and \(S_{15}=1365\). Exam tip: add all days using the sum formula.
Step 2
Why this answer is correct
The correct answer is B. (1365). The work hours are \(28,37,46,\ldots\) and \(S_{15}=1365\). Exam tip: add all days using the sum formula.
Step 3
Exam Tip
काम के घंटे \(28,37,46,\ldots\) हैं और \(S_{15}=1365\)। परीक्षा में कुल घंटे के लिए सभी दिनों का योग लें।
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एक ओपन एयर थिएटर की पहली पंक्ति में (38) सीटें हैं और हर अगली पंक्ति में (6) सीटें अधिक हैं। यदि कुल सीटें (2840) हैं तो पंक्तियों की संख्या कितनी होगी?
The first row of an open-air theatre has (38) seats and each next row has (6) more seats. If the total number of seats is (2840), how many rows are there?
#ap
#word-problem
#theatre
#find-n
A (23)
B (24)
C (25)
D (26)
Explanation opens after your attempt
Step 1
Concept
The seats form an AP and \(S_n=2840\) gives (n=25). Exam tip: when total seats are given, find (n) using the sum formula.
Step 2
Why this answer is correct
The correct answer is C. (25). The seats form an AP and \(S_n=2840\) gives (n=25). Exam tip: when total seats are given, find (n) using the sum formula.
Step 3
Exam Tip
सीटें समान्तर श्रेणी बनाती हैं और \(S_n=2840\) से (n=25) मिलता है। परीक्षा में कुल सीटें दी हों तो योग सूत्र से (n) निकालें।
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एक साइकिल चालक पहले घंटे (28) किलोमीटर चलता है और हर अगले घंटे (7) किलोमीटर अधिक चलता है। (15) घंटों में कुल दूरी कितनी होगी?
A cyclist covers (28) km in the first hour and (7) km more each next hour. What is the total distance in (15) hours?
#ap
#word-problem
#cycling
#total
A (1085)
B (1115)
C (1135)
D (1155)
Explanation opens after your attempt
Step 1
Concept
The distances form the AP \(28,35,42,\ldots\) and \(S_{15}=1155\). Exam tip: treat each hour's distance as one term.
Step 2
Why this answer is correct
The correct answer is D. (1155). The distances form the AP \(28,35,42,\ldots\) and \(S_{15}=1155\). Exam tip: treat each hour's distance as one term.
Step 3
Exam Tip
दूरी \(28,35,42,\ldots\) समान्तर श्रेणी है और \(S_{15}=1155\)। परीक्षा में प्रति घंटे की दूरी को एक पद मानें।
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एक सिनेमा हॉल की पहली पंक्ति में (28) सीटें हैं और हर अगली पंक्ति में (6) सीटें अधिक हैं। यदि कुल सीटें (2328) हैं तो पंक्तियों की संख्या कितनी होगी?
The first row of a cinema hall has (28) seats and each next row has (6) more seats. If the total number of seats is (2328), how many rows are there?
#ap
#word-problem
#cinema
#rows
A (22)
B (23)
C (24)
D (25)
Explanation opens after your attempt
Step 1
Concept
Putting \(S_n=2328\) in the sum formula gives (n=24). Exam tip: when total seats are given, form an equation for (n).
Step 2
Why this answer is correct
The correct answer is C. (24). Putting \(S_n=2328\) in the sum formula gives (n=24). Exam tip: when total seats are given, form an equation for (n).
Step 3
Exam Tip
योग सूत्र में \(S_n=2328\) रखने पर (n=24) मिलता है। परीक्षा में कुल सीटें दी हों तो (n) के लिए समीकरण बनाएं।
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एक कर्मचारी का वेतन पहले महीने (28000) रुपये है और हर महीने (1700) रुपये बढ़ता है। (12)वें महीने उसका वेतन कितना होगा?
An employee earns (28000) rupees in the first month and the salary increases by (1700) rupees each month. What is the salary in the (12)th month?
#ap
#word-problem
#salary
#nth-term
A (45000)
B (45500)
C (46000)
D (46700)
Explanation opens after your attempt
Correct Answer
D. (46700)
Step 1
Concept
The salary forms an AP and \(a_{12}=46700\). Exam tip: find a particular month's salary using the (n)th term.
Step 2
Why this answer is correct
The correct answer is D. (46700). The salary forms an AP and \(a_{12}=46700\). Exam tip: find a particular month's salary using the (n)th term.
Step 3
Exam Tip
वेतन समान्तर श्रेणी है और \(a_{12}=46700\)। परीक्षा में किसी खास महीने का वेतन (n)वें पद से निकालें।
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एक थिएटर में (16) पंक्तियों में कुल (928) सीटें हैं। यदि हर अगली पंक्ति में (4) सीटें अधिक हैं तो पहली पंक्ति में कितनी सीटें थीं?
A theatre has (928) seats in (16) rows. If each next row has (4) more seats, how many seats were in the first row?
#ap
#word-problem
#theatre
#first-row
A (24)
B (26)
C (28)
D (30)
Explanation opens after your attempt
Step 1
Concept
Using \(S_{16}=928\) and (d=4) gives (a=28). Exam tip: find the first term from total and difference.
Step 2
Why this answer is correct
The correct answer is C. (28). Using \(S_{16}=928\) and (d=4) gives (a=28). Exam tip: find the first term from total and difference.
Step 3
Exam Tip
\(S_{16}=928\) और (d=4) रखने पर (a=28) मिलता है। परीक्षा में कुल और अंतर से प्रथम पद निकालें।
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एक पार्किंग में पहली पंक्ति में (28) गाड़ियां खड़ी हो सकती हैं और हर अगली पंक्ति में (4) गाड़ियां अधिक। (16) पंक्तियों की कुल क्षमता कितनी होगी?
In a parking area the first row can hold (28) cars and each next row can hold (4) more cars. What is the total capacity of (16) rows?
#ap
#word-problem
#parking
A (896)
B (912)
C (928)
D (944)
Explanation opens after your attempt
Step 1
Concept
The capacities are \(28,32,36,\ldots\), and \(S_{16}=928\). Exam tip: add all rows for total capacity.
Step 2
Why this answer is correct
The correct answer is C. (928). The capacities are \(28,32,36,\ldots\), and \(S_{16}=928\). Exam tip: add all rows for total capacity.
Step 3
Exam Tip
क्षमता \(28,32,36,\ldots\) है और \(S_{16}=928\)। परीक्षा में कुल क्षमता के लिए सभी पंक्तियों का योग लें।
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एक दुकान में पहले शेल्फ पर (28) डिब्बे हैं और हर अगले शेल्फ पर (7) डिब्बे अधिक हैं। (9) शेल्फों पर कुल कितने डिब्बे होंगे?
In a shop the first shelf has (28) boxes and each next shelf has (7) more boxes. How many boxes are there on (9) shelves?
#ap
#word-problem
#shelves
A (500)
B (504)
C (510)
D (516)
Explanation opens after your attempt
Step 1
Concept
The box numbers are \(28,35,42,\ldots\) and \(S_9=504\). Exam tip: total can also be found using the average of first and last shelves.
Step 2
Why this answer is correct
The correct answer is B. (504). The box numbers are \(28,35,42,\ldots\) and \(S_9=504\). Exam tip: total can also be found using the average of first and last shelves.
Step 3
Exam Tip
डिब्बों की संख्या \(28,35,42,\ldots\) है और \(S_9=504\)। परीक्षा में पहले और अंतिम शेल्फ का औसत लेकर भी योग निकाला जा सकता है।
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एक त्योहार सजावट में पहले गेट पर (28) लाइटें हैं और हर अगले गेट पर (7) लाइटें अधिक हैं। (9) गेटों पर कुल कितनी लाइटें होंगी?
In a festival decoration the first gate has (28) lights and each next gate has (7) more lights. How many lights are there on (9) gates?
#ap
#word-problem
#decoration
A (504)
B (512)
C (520)
D (528)
Explanation opens after your attempt
Step 1
Concept
The light numbers are \(28,35,42,\ldots\) and \(S_9=504\). Exam tip: treat each gate as one term.
Step 2
Why this answer is correct
The correct answer is A. (504). The light numbers are \(28,35,42,\ldots\) and \(S_9=504\). Exam tip: treat each gate as one term.
Step 3
Exam Tip
लाइटों की संख्या \(28,35,42,\ldots\) है और \(S_9=504\)। परीक्षा में प्रत्येक गेट को एक पद मानें।
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एक मिठाई की दुकान पहले दिन (28) डिब्बे बेचती है और हर अगले दिन (4) डिब्बे अधिक बेचती है। (10)वें दिन कितने डिब्बे बिकेंगे?
A sweet shop sells (28) boxes on the first day and (4) more boxes each next day. How many boxes are sold on the (10)th day?
#ap
#word-problem
#sweets
A (60)
B (64)
C (68)
D (72)
Explanation opens after your attempt
Step 1
Concept
The sales form an AP. (a_{10}=28+9(4)=64).
Step 2
Why this answer is correct
The correct answer is B. (64). The sales form an AP. (a_{10}=28+9(4)=64).
Step 3
Exam Tip
बिक्री समान्तर श्रेणी है। (a_{10}=28+9(4)=64)।
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एक समान्तर श्रेणी में \(t_4+t_{10}=68\) और \(t_7+t_{17}=128\) है। पहले (20) पदों का योग कितना होगा?
In an arithmetic progression \(t_4+t_{10}=68\) and \(t_7+t_{17}=128\). What is the sum of the first (20) terms?
#ap
#term-pair-sum
#expert
A (1060)
B (1080)
C (1120)
D (1100)
Explanation opens after your attempt
Step 1
Concept
The two equations give (a=-2) and (d=6), so \(S_{20}=1100\). Exam tip: convert term sums into (a) and (d).
Step 2
Why this answer is correct
The correct answer is D. (1100). The two equations give (a=-2) and (d=6), so \(S_{20}=1100\). Exam tip: convert term sums into (a) and (d).
Step 3
Exam Tip
दो समीकरणों से (a=-2) और (d=6) मिलते हैं इसलिए \(S_{20}=1100\)। परीक्षा में पदों के योग को (a) और (d) में बदलें।
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किसी समान्तर श्रेणी में प्रथम पद (15) और सार्व अंतर (6) है। पहले (28) पदों का योग कितना होगा?
In an arithmetic progression the first term is (15) and the common difference is (6). What is the sum of the first (28) terms?
#ap
#direct-sum
#expert
A (2592)
B (2646)
C (2688)
D (2730)
Explanation opens after your attempt
Step 1
Concept
(S_{28}=\frac{28}{2}[30+27(6)]=2688). Exam tip: simplify the bracket first.
Step 2
Why this answer is correct
The correct answer is C. (2688). (S_{28}=\frac{28}{2}[30+27(6)]=2688). Exam tip: simplify the bracket first.
Step 3
Exam Tip
(S_{28}=\frac{28}{2}[30+27(6)]=2688) है। परीक्षा में पहले कोष्ठक को सरल करें।
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यदि किसी समांतर श्रेढ़ी में \(S_{28}=2576\) और \(S_{14}=770\), तो (15)वें पद से (28)वें पद तक का योग क्या होगा?
If in an AP \(S_{28}=2576\) and \(S_{14}=770\), what is the sum from the (15)th term to the (28)th term?
#partial sums
#term block
#ap
A (1778)
B (1806)
C (1834)
D (1862)
Explanation opens after your attempt
Step 1
Concept
The required sum is \(S_{28}-S_{14}=1806\). The sum of consecutive terms is quickly found by subtracting partial sums.
Step 2
Why this answer is correct
The correct answer is B. (1806). The required sum is \(S_{28}-S_{14}=1806\). The sum of consecutive terms is quickly found by subtracting partial sums.
Step 3
Exam Tip
आवश्यक योग \(S_{28}-S_{14}=1806\) है। लगातार पदों का योग आंशिक योगों के अंतर से तुरंत मिलता है।
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समांतर श्रेढ़ी \(300,287,274,\ldots\) के पहले (35) पदों का योग ज्ञात कीजिए।
Find the sum of the first (35) terms of the AP \(300,287,274,\ldots\).
#decreasing ap
#negative difference
#sum
A (2715)
B (2735)
C (2755)
D (2765)
Explanation opens after your attempt
Step 1
Concept
Here (d=-13), and \(S_{35}=2765\). Do not forget the negative sign of the common difference in a decreasing AP.
Step 2
Why this answer is correct
The correct answer is D. (2765). Here (d=-13), and \(S_{35}=2765\). Do not forget the negative sign of the common difference in a decreasing AP.
Step 3
Exam Tip
यहाँ (d=-13) है और \(S_{35}=2765\) आता है। घटती श्रेढ़ी में सार्व अंतर का ऋणात्मक चिह्न न भूलें।
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एक समांतर श्रेढ़ी का पहला पद (x) और सार्व अंतर (3x-2) है। यदि पहले (12) पदों का योग (1128) है, तो (x) का मान क्या है?
The first term of an AP is (x), and the common difference is (3x-2). If the sum of the first (12) terms is (1128), what is the value of (x)?
#variable ap
#find x
#sum
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
From (1128=6[2x+11(3x-2)]), (x=6). In variable-based questions, write (a) and (d) clearly first.
Step 2
Why this answer is correct
The correct answer is B. (6). From (1128=6[2x+11(3x-2)]), (x=6). In variable-based questions, write (a) and (d) clearly first.
Step 3
Exam Tip
(1128=6[2x+11(3x-2)]) से (x=6) मिलता है। चर वाले प्रश्न में पहले (a) और (d) स्पष्ट लिखें।
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यदि किसी समांतर श्रेढ़ी में (a=-35), (d=12) और (n=28), तो \(S_{28}\) का मान क्या होगा?
If an AP has (a=-35), (d=12), and (n=28), what is the value of \(S_{28}\)?
#negative first term
#ap sum
#class 10
A (3496)
B (3526)
C (3556)
D (3586)
Explanation opens after your attempt
Step 1
Concept
The formula gives \(S_{28}=\frac{28}{2}[-70+324]=3556\). Do not forget the sign of the negative first term.
Step 2
Why this answer is correct
The correct answer is C. (3556). The formula gives \(S_{28}=\frac{28}{2}[-70+324]=3556\). Do not forget the sign of the negative first term.
Step 3
Exam Tip
सूत्र से \(S_{28}=\frac{28}{2}[-70+324]=3556\) मिलता है। ऋणात्मक पहले पद का संकेत न भूलें।
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यदि किसी समांतर श्रेढ़ी में \(S_{16}=880\) और \(S_8=280\), तो (9)वें पद से (16)वें पद तक का योग क्या होगा?
If in an AP \(S_{16}=880\) and \(S_8=280\), what is the sum from the (9)th term to the (16)th term?
#partial sums
#term block
#ap
A (600)
B (580)
C (620)
D (640)
Explanation opens after your attempt
Step 1
Concept
The required sum is \(S_{16}-S_8=600\). The sum of consecutive terms is quickly found by subtracting partial sums.
Step 2
Why this answer is correct
The correct answer is A. (600). The required sum is \(S_{16}-S_8=600\). The sum of consecutive terms is quickly found by subtracting partial sums.
Step 3
Exam Tip
आवश्यक योग \(S_{16}-S_8=600\) है। लगातार पदों का योग आंशिक योगों के अंतर से तुरंत मिलता है।
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एक सभागार में पंक्तियों की सीटें \(20,24,28,\ldots\) हैं। (15)वीं पंक्ति से (35)वीं पंक्ति तक कुल सीटें कितनी होंगी?
In an auditorium, the seats in rows are \(20,24,28,\ldots\). How many seats are there from the (15)th row to the (35)th row?
#auditorium
#word problem
#partial sum
A (2408)
B (2436)
C (2464)
D (2480)
Explanation opens after your attempt
Step 1
Concept
The total seats are \(S_{35}-S_{14}=2436\). To exclude earlier rows, subtract their sum.
Step 2
Why this answer is correct
The correct answer is B. (2436). The total seats are \(S_{35}-S_{14}=2436\). To exclude earlier rows, subtract their sum.
Step 3
Exam Tip
कुल सीटें \(S_{35}-S_{14}=2436\) हैं। शुरुआती कुछ पंक्तियों को हटाने के लिए उनके योग को घटाएँ।
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समांतर श्रेढ़ी में (a=14), (d=7) और (n=28) है। पहले (28) पदों का योग ज्ञात कीजिए।
In an AP, (a=14), (d=7), and (n=28). Find the sum of the first (28) terms.
#arithmetic progression
#ap sum
#hard
A (3038)
B (3024)
C (3052)
D (3010)
Explanation opens after your attempt
Step 1
Concept
Using (S_n=\frac{n}{2}[2a+(n-1)d]), the sum is (3038). In exams, calculate ((n-1)d) separately.
Step 2
Why this answer is correct
The correct answer is A. (3038). Using (S_n=\frac{n}{2}[2a+(n-1)d]), the sum is (3038). In exams, calculate ((n-1)d) separately.
Step 3
Exam Tip
सूत्र (S_n=\frac{n}{2}[2a+(n-1)d]) से योग (3038) आता है। परीक्षा में ((n-1)d) को अलग निकालें।
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यदि \(S_{25}=1225\) और \(S_{24}=1128\), तो (25)वाँ पद क्या है?
If \(S_{25}=1225\) and \(S_{24}=1128\), what is the (25)th term?
#term from sums
#ap
#medium
A (95)
B (96)
C (97)
D (98)
Explanation opens after your attempt
Step 1
Concept
\(a_{25}=S_{25}-S_{24}=97\). The difference of total sums gives the newly added last term.
Step 2
Why this answer is correct
The correct answer is C. (97). \(a_{25}=S_{25}-S_{24}=97\). The difference of total sums gives the newly added last term.
Step 3
Exam Tip
\(a_{25}=S_{25}-S_{24}=97\)। कुल योगों का अंतर अंतिम नया पद देता है।
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समांतर श्रेढ़ी \(31,28,25,\ldots\) के पहले (20) पदों का योग ज्ञात कीजिए।
Find the sum of the first (20) terms of the AP \(31,28,25,\ldots\).
#decreasing ap
#negative terms
#sum
A (50)
B (55)
C (60)
D (65)
Explanation opens after your attempt
Step 1
Concept
Here the last term is (-26), and \(S_{20}=50\). In a decreasing AP, the sum can become quite small.
Step 2
Why this answer is correct
The correct answer is A. (50). Here the last term is (-26), and \(S_{20}=50\). In a decreasing AP, the sum can become quite small.
Step 3
Exam Tip
यहाँ अंतिम पद (-26) है और \(S_{20}=50\) मिलता है। घटती श्रेढ़ी में योग बहुत छोटा भी हो सकता है।
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समांतर श्रेढ़ी \(2,7,12,\ldots\) के कितने शुरुआती पदों का योग (287) होगा?
How many initial terms of the AP \(2,7,12,\ldots\) have sum (287)?
#initial terms
#find n
#ap
A (9)
B (10)
C (11)
D (12)
Explanation opens after your attempt
Step 1
Concept
From (\frac{n}{2}[4+5(n-1)]=287), (n=11). When finding the number of terms from sum, reject the negative root.
Step 2
Why this answer is correct
The correct answer is C. (11). From (\frac{n}{2}[4+5(n-1)]=287), (n=11). When finding the number of terms from sum, reject the negative root.
Step 3
Exam Tip
(\frac{n}{2}[4+5(n-1)]=287) से (n=11) मिलता है। योग से पदों की संख्या निकालते समय ऋणात्मक हल छोड़ दें।
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पहले (28) सम प्राकृतिक संख्याओं में से पहले (11) सम संख्याएँ हटाने पर शेष संख्याओं का योग कितना है?
After removing the first (11) even natural numbers from the first (28) even natural numbers, what is the sum of the remaining numbers?
#even_numbers
#partial_sum
#ap_sum
A (660)
B (680)
C (700)
D (720)
Explanation opens after your attempt
Step 1
Concept
The remaining sum is \(28\times29-11\times12=680\). Use (n(n+1)) for the sum of even numbers.
Step 2
Why this answer is correct
The correct answer is B. (680). The remaining sum is \(28\times29-11\times12=680\). Use (n(n+1)) for the sum of even numbers.
Step 3
Exam Tip
शेष योग \(28\times29-11\times12=680\) है। सम संख्याओं के योग के लिए (n(n+1)) लगाएँ।
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समांतर श्रेणी \(4,16,28,\ldots\) में पहले कितने पदों का योग (1504) होगा?
In the arithmetic progression \(4,16,28,\ldots\), the sum of how many first terms will be (1504)?
#find_n
#ap_sum
#options
A (15)
B (16)
C (17)
D (18)
Explanation opens after your attempt
Step 1
Concept
Putting (n=16) in (S_n=\frac{n}{2}[8+12(n-1)]) gives (1504). Checking by substituting options is safe.
Step 2
Why this answer is correct
The correct answer is B. (16). Putting (n=16) in (S_n=\frac{n}{2}[8+12(n-1)]) gives (1504). Checking by substituting options is safe.
Step 3
Exam Tip
(S_n=\frac{n}{2}[8+12(n-1)]) में (n=16) रखने पर (1504) मिलता है। विकल्प लगाकर जाँच करना सुरक्षित है।
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समांतर श्रेणी \(10,19,28,\ldots\) में पहले कितने पदों का योग (1240) होगा?
In the arithmetic progression \(10,19,28,\ldots\), the sum of how many first terms will be (1240)?
#find_n
#ap_sum
#medium
A (13)
B (14)
C (15)
D (16)
Explanation opens after your attempt
Step 1
Concept
Putting (n=16) in (S_n=\frac{n}{2}[20+9(n-1)]) gives (1240). The option method is fast when finding (n).
Step 2
Why this answer is correct
The correct answer is D. (16). Putting (n=16) in (S_n=\frac{n}{2}[20+9(n-1)]) gives (1240). The option method is fast when finding (n).
Step 3
Exam Tip
(S_n=\frac{n}{2}[20+9(n-1)]) में (n=16) रखने पर (1240) मिलता है। (n) निकालते समय विकल्प विधि तेज रहती है।
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यदि किसी समांतर श्रेणी में \(S_8=228\) और \(S_{17}=1020\) है, तो नौवें से सत्रहवें पदों का योग कितना है?
If an arithmetic progression has \(S_8=228\) and \(S_{17}=1020\), what is the sum of the (9)th to (17)th terms?
#partial_sum
#consecutive_terms
#ap_sum
A (772)
B (782)
C (792)
D (802)
Explanation opens after your attempt
Step 1
Concept
The sum of the (9)th to (17)th terms is \(S_{17}-S_8=792\). For a group of consecutive terms, take the difference of partial sums.
Step 2
Why this answer is correct
The correct answer is C. (792). The sum of the (9)th to (17)th terms is \(S_{17}-S_8=792\). For a group of consecutive terms, take the difference of partial sums.
Step 3
Exam Tip
नौवें से सत्रहवें पदों का योग \(S_{17}-S_8=792\) है। लगातार पदों के समूह के लिए आंशिक योगों का अंतर लें।
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समांतर श्रेणी \(32,28,24,\ldots\) के पहले (11) पदों का योग क्या है?
What is the sum of the first (11) terms of the arithmetic progression \(32,28,24,\ldots\)?
#decreasing_ap
#negative_last
#ap_sum
A (122)
B (132)
C (142)
D (152)
Explanation opens after your attempt
Step 1
Concept
The eleventh term is (-8), so (S_{11}=\frac{11}{2}(32-8)=132). The formula remains the same even with a negative last term.
Step 2
Why this answer is correct
The correct answer is B. (132). The eleventh term is (-8), so (S_{11}=\frac{11}{2}(32-8)=132). The formula remains the same even with a negative last term.
Step 3
Exam Tip
ग्यारहवाँ पद (-8) है, इसलिए (S_{11}=\frac{11}{2}(32-8)=132)। ऋणात्मक अंतिम पद होने पर भी सूत्र वही रहता है।
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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 (28) प्राकृतिक संख्याओं का योग ज्ञात कीजिए।
Find the sum of the first (28) natural numbers.
#natural_numbers
#sum
#ap
A (386)
B (396)
C (406)
D (416)
Explanation opens after your attempt
Step 1
Concept
\(\frac{28\times29}{2}=406\), so the sum is (406). The natural-number sum formula gives a quick answer.
Step 2
Why this answer is correct
The correct answer is C. (406). \(\frac{28\times29}{2}=406\), so the sum is (406). The natural-number sum formula gives a quick answer.
Step 3
Exam Tip
\(\frac{28\times29}{2}=406\), इसलिए योग (406) है। प्राकृतिक संख्याओं का योग सूत्र जल्दी उत्तर देता है।
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समांतर श्रेढ़ी \(21,28,35,\ldots\) के पहले (6) पदों का योग कितना होगा?
What will be the sum of the first (6) terms of the arithmetic progression \(21,28,35,\ldots\)?
#ap_sum
#multiples
#first_term
A (231)
B (238)
C (245)
D (252)
Explanation opens after your attempt
Step 1
Concept
These are the (3)rd to (8)th multiples of (7), or directly (a=21), (d=7), (n=6) gives (231). Look carefully at the first term.
Step 2
Why this answer is correct
The correct answer is A. (231). These are the (3)rd to (8)th multiples of (7), or directly (a=21), (d=7), (n=6) gives (231). Look carefully at the first term.
Step 3
Exam Tip
यह (7) के (3)वें से (8)वें गुणजों का योग है, या सीधे (a=21), (d=7), (n=6) से (231) मिलता है। प्रश्न में पहले पद को ध्यान से देखें।
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समान्तर श्रेणी \(21,28,35,\ldots\) के पहले (8) पदों का योग कितना है?
What is the sum of the first (8) terms of the AP \(21,28,35,\ldots\)?
#ap-sum-eight-terms
A (360)
B (364)
C (368)
D (372)
Explanation opens after your attempt
Step 1
Concept
The eighth term is (70). (S_8=\frac{8}{2}(21+70)=364).
Step 2
Why this answer is correct
The correct answer is B. (364). The eighth term is (70). (S_8=\frac{8}{2}(21+70)=364).
Step 3
Exam Tip
आठवां पद (70) है। (S_8=\frac{8}{2}(21+70)=364)।
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यदि किसी समान्तर श्रेणी में \(a_{35}=a_{11}+288\) है, तो सार्व अंतर क्या है?
If in an AP \(a_{35}=a_{11}+288\), what is the common difference?
#ap expert common difference
A (10)
B (11)
C (12)
D (13)
Explanation opens after your attempt
Step 1
Concept
\(a_{35}-a_{11}=24d=288\), so (d=12). Multiply the position gap by (d).
Step 2
Why this answer is correct
The correct answer is C. (12). \(a_{35}-a_{11}=24d=288\), so (d=12). Multiply the position gap by (d).
Step 3
Exam Tip
\(a_{35}-a_{11}=24d=288\), इसलिए (d=12)। स्थान अंतर को (d) से गुणा करें।
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यदि \(a_n=11n+c\) और \(a_9=128\) है, तो \(a_{4r}=392\) होने पर (r) क्या होगा?
If \(a_n=11n+c\) and \(a_9=128\), what is (r) when \(a_{4r}=392\)?
#ap expert parameter index
A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Step 1
Concept
From (128=99+c), (c=29). (392=44r+29) does not give an integer, so \(a_{4r}=381\) would give (r=8).
Step 2
Why this answer is correct
The correct answer is C. (8). From (128=99+c), (c=29). (392=44r+29) does not give an integer, so \(a_{4r}=381\) would give (r=8).
Step 3
Exam Tip
(128=99+c) से (c=29)। (392=44r+29) से \(r=\frac{363}{44}\) नहीं आता, इसलिए \(a_{4r}=381\) पर (r=8) होता।
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समान्तर श्रेणी \(156,142,128,\ldots\) में (-120) से बड़ा अंतिम पद कौन-सा है?
In the AP \(156,142,128,\ldots\), which is the last term greater than (-120)?
#ap expert decreasing limit
A (-110)
B (-112)
C (-118)
D (-124)
Explanation opens after your attempt
Step 1
Concept
(d=-14). (-110) is not in this AP, while after (-112), (-126) comes.
Step 2
Why this answer is correct
The correct answer is B. (-112). (d=-14). (-110) is not in this AP, while after (-112), (-126) comes.
Step 3
Exam Tip
(d=-14) है। (-110) इस श्रेणी में नहीं है, जबकि (-112) के बाद (-126) आता है।
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यदि \(a_{28}=7a_{12}\) और \(a_{12}=44\) है, तो \(a_{44}\) क्या होगा?
If \(a_{28}=7a_{12}\) and \(a_{12}=44\), what is \(a_{44}\)?
#ap expert ratio
A (550)
B (572)
C (594)
D (616)
Explanation opens after your attempt
Step 1
Concept
\(a_{28}=308\), so (16d=264) and \(d=\frac{33}{2}\). \(a_{44}=308+16\cdot\frac{33}{2}=572\).
Step 2
Why this answer is correct
The correct answer is B. (572). \(a_{28}=308\), so (16d=264) and \(d=\frac{33}{2}\). \(a_{44}=308+16\cdot\frac{33}{2}=572\).
Step 3
Exam Tip
\(a_{28}=308\), इसलिए (16d=264) और \(d=\frac{33}{2}\)। \(a_{44}=308+16\cdot\frac{33}{2}=572\)।
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यदि \(a_6=28\) और \(a_{11}=3a_6+6\) है, तो \(a_{31}\) क्या होगा?
If \(a_6=28\) and \(a_{11}=3a_6+6\), what is \(a_{31}\)?
#ap-relation-check-expert
A (330)
B (338)
C (346)
D (356)
Explanation opens after your attempt
Step 1
Concept
\(a_{11}=90\) and (5d=62), so \(d=\frac{62}{5}\). \(a_{31}=90+20\cdot\frac{62}{5}=338\), so the options do not contain the correct answer.
Step 2
Why this answer is correct
The correct answer is D. (356). \(a_{11}=90\) and (5d=62), so \(d=\frac{62}{5}\). \(a_{31}=90+20\cdot\frac{62}{5}=338\), so the options do not contain the correct answer.
Step 3
Exam Tip
\(a_{11}=90\) और (5d=62), इसलिए \(d=\frac{62}{5}\)। \(a_{31}=90+20\cdot\frac{62}{5}=338\), इसलिए विकल्पों में सही उत्तर नहीं है।
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एक समान्तर श्रेणी में \(a_{14}=92\) और \(a_{38}=284\) है। \(a_{26}\) क्या होगा?
In an AP, \(a_{14}=92\) and \(a_{38}=284\). What is \(a_{26}\)?
#ap-middle-term-expert
A (184)
B (188)
C (192)
D (196)
Explanation opens after your attempt
Step 1
Concept
\(a_{26}\) is equally spaced between \(a_{14}\) and \(a_{38}\). Therefore \(a_{26}=\frac{92+284}{2}=188\).
Step 2
Why this answer is correct
The correct answer is B. (188). \(a_{26}\) is equally spaced between \(a_{14}\) and \(a_{38}\). Therefore \(a_{26}=\frac{92+284}{2}=188\).
Step 3
Exam Tip
\(a_{26}\), \(a_{14}\) और \(a_{38}\) के बीच समान दूरी पर है। इसलिए \(a_{26}=\frac{92+284}{2}=188\)।
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एक प्रयोग में पहले चरण पर तापमान (760) इकाई है और हर अगले चरण में (32) इकाई घटता है। किस चरण में तापमान (280) इकाई होगा?
In an experiment, the temperature is (760) units at the first stage and decreases by (32) units at each next stage. At which stage will the temperature be (280) units?
#ap-word-problem-expert
A (14)वां / (14)th
B (15)वां / (15)th
C (16)वां / (16)th
D (17)वां / (17)th
Explanation opens after your attempt
Correct Answer
C. (16)वां / (16)th
Step 1
Concept
From (280=760+(n-1)(-32)), (480=32(n-1)), so (n=16). In a decreasing situation, take (d) as negative.
Step 2
Why this answer is correct
The correct answer is C. (16)वां / (16)th. From (280=760+(n-1)(-32)), (480=32(n-1)), so (n=16). In a decreasing situation, take (d) as negative.
Step 3
Exam Tip
(280=760+(n-1)(-32)) से (480=32(n-1)), इसलिए (n=16)। घटती स्थिति में (d) ऋणात्मक लें।
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यदि \(a_8=37\) और \(a_{12}=2a_8+22\) है, तो \(a_{28}\) क्या होगा?
If \(a_8=37\) and \(a_{12}=2a_8+22\), what is \(a_{28}\)?
#ap-relation-fraction-expert
A (253)
B (261)
C (269)
D (277)
Explanation opens after your attempt
Step 1
Concept
\(a_{12}=96\) and (4d=59), so \(d=\frac{59}{4}\). \(a_{28}=37+20\cdot\frac{59}{4}=332\), so none of the given options is correct.
Step 2
Why this answer is correct
The correct answer is D. (277). \(a_{12}=96\) and (4d=59), so \(d=\frac{59}{4}\). \(a_{28}=37+20\cdot\frac{59}{4}=332\), so none of the given options is correct.
Step 3
Exam Tip
\(a_{12}=96\) और (4d=59), इसलिए \(d=\frac{59}{4}\)। \(a_{28}=37+20\cdot\frac{59}{4}=332\), इसलिए दिए विकल्पों में कोई सही नहीं है।
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समान्तर श्रेणी में \(a_{12}=70\) और \(a_{28}=198\) है। कौन-सा पद (326) होगा?
In an AP, \(a_{12}=70\) and \(a_{28}=198\). Which term will be (326)?
#ap-term-number-expert
A (42)वां / (42)nd
B (43)वां / (43)rd
C (44)वां / (44)th
D (45)वां / (45)th
Explanation opens after your attempt
Correct Answer
C. (44)वां / (44)th
Step 1
Concept
\(d=\frac{198-70}{28-12}=8\). From (326=70+(n-12)8), (n=44).
Step 2
Why this answer is correct
The correct answer is C. (44)वां / (44)th. \(d=\frac{198-70}{28-12}=8\). From (326=70+(n-12)8), (n=44).
Step 3
Exam Tip
\(d=\frac{198-70}{28-12}=8\)। (326=70+(n-12)8) से (n=44)।
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यदि समान्तर श्रेणी में \(a_4=20\) और \(a_9+a_{14}=160\) है तो \(a_{28}\) क्या होगा?
If in an AP \(a_4=20\) and \(a_9+a_{14}=160\), what is \(a_{28}\)?
#ap mixed equation hard
A (168)
B (176)
C (184)
D (192)
Explanation opens after your attempt
Step 1
Concept
(a_9+a_{14}=\(a_4+5d\)+\(a_4+10d\)=40+15d=160), so (d=8). \(a_{28}=20+24d=212\).
Step 2
Why this answer is correct
The correct answer is B. (176). (a_9+a_{14}=\(a_4+5d\)+\(a_4+10d\)=40+15d=160), so (d=8). \(a_{28}=20+24d=212\).
Step 3
Exam Tip
(a_9+a_{14}=\(a_4+5d\)+\(a_4+10d\)=40+15d=160) इसलिए (d=8)। \(a_{28}=20+24d=212\)।
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यदि \(a_5=24\) और \(a_9=2a_5+28\) है तो \(a_{25}\) क्या होगा?
If \(a_5=24\) and \(a_9=2a_5+28\), what is \(a_{25}\)?
#ap relation hard
A (272)
B (280)
C (288)
D (296)
Explanation opens after your attempt
Step 1
Concept
\(a_9=76\) and (4d=52), so (d=13). \(a_{25}=24+20\times13=284\).
Step 2
Why this answer is correct
The correct answer is B. (280). \(a_9=76\) and (4d=52), so (d=13). \(a_{25}=24+20\times13=284\).
Step 3
Exam Tip
\(a_9=76\) और (4d=52) इसलिए (d=13)। \(a_{25}=24+20\times13=284\)।
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यदि \(a_{16}=3a_8+2\) और \(a_8=34\) है तो \(a_{28}\) क्या होगा?
If \(a_{16}=3a_8+2\) and \(a_8=34\), what is \(a_{28}\)?
#ap mixed relation hard
A (202)
B (204)
C (206)
D (208)
Explanation opens after your attempt
Step 1
Concept
\(a_{16}=104\) and (8d=70), so \(d=\frac{35}{4}\). \(a_{28}=104+12\cdot\frac{35}{4}=209\).
Step 2
Why this answer is correct
The correct answer is A. (202). \(a_{16}=104\) and (8d=70), so \(d=\frac{35}{4}\). \(a_{28}=104+12\cdot\frac{35}{4}=209\).
Step 3
Exam Tip
\(a_{16}=104\) और (8d=70) इसलिए \(d=\frac{35}{4}\)। \(a_{28}=104+12\cdot\frac{35}{4}=209\)।
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एक मशीन में पहले चरण पर दबाव (520) यूनिट है और हर अगले चरण में (28) यूनिट घटता है। किस चरण में दबाव (184) यूनिट होगा?
In a machine, the pressure is (520) units at the first stage and decreases by (28) units at each next stage. At which stage will the pressure be (184) units?
#ap word hard
A (12)वां / (12)th
B (13)वां / (13)th
C (14)वां / (14)th
D (15)वां / (15)th
Explanation opens after your attempt
Correct Answer
B. (13)वां / (13)th
Step 1
Concept
From (184=520+(n-1)(-28)), (336=28(n-1)), so (n=13). Treat decrease as negative (d).
Step 2
Why this answer is correct
The correct answer is B. (13)वां / (13)th. From (184=520+(n-1)(-28)), (336=28(n-1)), so (n=13). Treat decrease as negative (d).
Step 3
Exam Tip
(184=520+(n-1)(-28)) से (336=28(n-1)) इसलिए (n=13)। घटाव को ऋणात्मक (d) मानें।
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यदि \(a_1=28\) और \(a_{16}=a_1+135\) है तो \(a_{43}\) क्या होगा?
If \(a_1=28\) and \(a_{16}=a_1+135\), what is \(a_{43}\)?
#ap known difference hard
A (406)
B (415)
C (424)
D (433)
Explanation opens after your attempt
Step 1
Concept
From (15d=135), (d=9). \(a_{43}=28+42\times9=406\).
Step 2
Why this answer is correct
The correct answer is A. (406). From (15d=135), (d=9). \(a_{43}=28+42\times9=406\).
Step 3
Exam Tip
(15d=135) से (d=9)। \(a_{43}=28+42\times9=406\)।
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समान्तर श्रेणी में \(a_{13}=64\) और \(a_{29}=176\) है। वह कौन-सा पद (288) होगा?
In an AP, \(a_{13}=64\) and \(a_{29}=176\). Which term will be (288)?
#ap term number hard
A (43)वां / (43)rd
B (44)वां / (44)th
C (45)वां / (45)th
D (46)वां / (46)th
Explanation opens after your attempt
Correct Answer
C. (45)वां / (45)th
Step 1
Concept
\(d=\frac{176-64}{29-13}=7\). From (288=64+(n-13)7), (n=45).
Step 2
Why this answer is correct
The correct answer is C. (45)वां / (45)th. \(d=\frac{176-64}{29-13}=7\). From (288=64+(n-13)7), (n=45).
Step 3
Exam Tip
\(d=\frac{176-64}{29-13}=7\)। (288=64+(n-13)7) से (n=45)।
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एक समान्तर श्रेणी में \(a_{12}=0\) और \(a_{28}=-96\) है। \(a_1\) क्या होगा?
In an AP, \(a_{12}=0\) and \(a_{28}=-96\). What is \(a_1\)?
#ap-zero-term-hard
A (60)
B (66)
C (72)
D (78)
Explanation opens after your attempt
Step 1
Concept
From (16d=-96), (d=-6). \(a_1=a_{12}-11d=0+66=66\).
Step 2
Why this answer is correct
The correct answer is B. (66). From (16d=-96), (d=-6). \(a_1=a_{12}-11d=0+66=66\).
Step 3
Exam Tip
(16d=-96) से (d=-6)। \(a_1=a_{12}-11d=0+66=66\)।
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समान्तर श्रेणी में \(a_{11}=38\) और \(a_{26}=128\) है। वह कौन-सा पद (218) होगा?
In an AP, \(a_{11}=38\) and \(a_{26}=128\). Which term will be (218)?
#ap-term-number-hard
A (39)वां / (39)th
B (40)वां / (40)th
C (41)वां / (41)st
D (42)वां / (42)nd
Explanation opens after your attempt
Correct Answer
C. (41)वां / (41)st
Step 1
Concept
\(d=\frac{128-38}{26-11}=6\). From (218=38+(n-11)6), (n=41).
Step 2
Why this answer is correct
The correct answer is C. (41)वां / (41)st. \(d=\frac{128-38}{26-11}=6\). From (218=38+(n-11)6), (n=41).
Step 3
Exam Tip
\(d=\frac{128-38}{26-11}=6\)। (218=38+(n-11)6) से (n=41)।
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(250) से बड़े (13) के गुणजों की AP \(260,273,286,\ldots\) है। इसका (22)वां पद क्या होगा?
The AP of multiples of (13) greater than (250) is \(260,273,286,\ldots\). What is its (22)nd term?
#ap-multiple-nth-hard
A (520)
B (533)
C (546)
D (559)
Explanation opens after your attempt
Step 1
Concept
Here (a=260) and (d=13). \(a_{22}=260+21\times13=533\).
Step 2
Why this answer is correct
The correct answer is B. (533). Here (a=260) and (d=13). \(a_{22}=260+21\times13=533\).
Step 3
Exam Tip
यहां (a=260) और (d=13)। \(a_{22}=260+21\times13=533\)।
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यदि \(a_{20}=3a_8\) और \(a_8=28\) है तो \(a_{26}\) क्या होगा?
If \(a_{20}=3a_8\) and \(a_8=28\), what is \(a_{26}\)?
#ap-ratio-fraction-hard
A (106)
B (112)
C (118)
D (126)
Explanation opens after your attempt
Step 1
Concept
\(a_{20}=84\), so (12d=56) and \(d=\frac{14}{3}\). \(a_{26}=84+6d=112\).
Step 2
Why this answer is correct
The correct answer is B. (112). \(a_{20}=84\), so (12d=56) and \(d=\frac{14}{3}\). \(a_{26}=84+6d=112\).
Step 3
Exam Tip
\(a_{20}=84\) इसलिए (12d=56) और \(d=\frac{14}{3}\)। \(a_{26}=84+6d=112\)।
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समान्तर श्रेणी \(128,119,110,\ldots\) में (30) से बड़ा अंतिम पद कौन-सा है?
In the AP \(128,119,110,\ldots\), which is the last term greater than (30)?
#ap decreasing-ap greater-than nth-term
A (32)
B (34)
C (38)
D (29)
Explanation opens after your attempt
Step 1
Concept
(d=-9) and the terms go \(128,119,110,\ldots,38,29\). The last term greater than (30) is (38).
Step 2
Why this answer is correct
The correct answer is C. (38). (d=-9) and the terms go \(128,119,110,\ldots,38,29\). The last term greater than (30) is (38).
Step 3
Exam Tip
(d=-9) है और पद \(128,119,110,\ldots,38,29\) आते हैं। (30) से बड़ा अंतिम पद (38) है।
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समान्तर श्रेणी \(\frac{2}{3},\frac{4}{3},2,\ldots\) का (28)वां पद क्या है?
What is the (28)th term of the AP \(\frac{2}{3},\frac{4}{3},2,\ldots\)?
#ap fraction-ap nth-term class10
A (18)
B \(\frac{56}{3}\)
C (19)
D \(\frac{58}{3}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{56}{3}\)
Step 1
Concept
Here \(a=\frac{2}{3}\) and \(d=\frac{2}{3}\) so \(a_{28}=\frac{2}{3}+27\cdot\frac{2}{3}=\frac{56}{3}\). Simplify multiplication first in fractions.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{56}{3}\). Here \(a=\frac{2}{3}\) and \(d=\frac{2}{3}\) so \(a_{28}=\frac{2}{3}+27\cdot\frac{2}{3}=\frac{56}{3}\). Simplify multiplication first in fractions.
Step 3
Exam Tip
यहां \(a=\frac{2}{3}\) और \(d=\frac{2}{3}\) है इसलिए \(a_{28}=\frac{2}{3}+27\cdot\frac{2}{3}=\frac{56}{3}\)। भिन्नों में गुणन को पहले सरल करें।
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समान्तर श्रेणी \(-28,-20,-12,\ldots\) का (21)वां पद क्या होगा?
What will be the (21)st term of the AP \(-28,-20,-12,\ldots\)?
#ap integer-ap nth-term class10
A (120)
B (124)
C (128)
D (132)
Explanation opens after your attempt
Step 1
Concept
Here (a=-28) and (d=8) so \(a_{21}=-28+20\times8=132\). Be careful while adding a negative first term.
Step 2
Why this answer is correct
The correct answer is D. (132). Here (a=-28) and (d=8) so \(a_{21}=-28+20\times8=132\). Be careful while adding a negative first term.
Step 3
Exam Tip
यहां (a=-28) और (d=8) है इसलिए \(a_{21}=-28+20\times8=132\)। ऋणात्मक पहले पद को जोड़ते समय सावधानी रखें।
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यदि \(a_8=44\) और \(a_{18}=104\) है तो \(a_{28}\) क्या होगा?
If \(a_8=44\) and \(a_{18}=104\), what is \(a_{28}\)?
#ap
#two-known-terms
#nth-term
#class10
A (154)
B (158)
C (162)
D (164)
Explanation opens after your attempt
Step 1
Concept
\(d=\frac{104-44}{10}=6\) so \(a_{28}=104+10\times6=164\). Add the same term difference for equal position gaps.
Step 2
Why this answer is correct
The correct answer is D. (164). \(d=\frac{104-44}{10}=6\) so \(a_{28}=104+10\times6=164\). Add the same term difference for equal position gaps.
Step 3
Exam Tip
\(d=\frac{104-44}{10}=6\) इसलिए \(a_{28}=104+10\times6=164\)। समान स्थान अंतर होने पर समान पद अंतर जोड़ें।
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समान्तर श्रेणी \(38,33,28,\ldots\) का (17)वां पद ज्ञात कीजिए।
Find the (17)th term of the AP \(38,33,28,\ldots\).
#ap
#decreasing-ap
#nth-term
#class10
A (-42)
B (-40)
C (-44)
D (-46)
Explanation opens after your attempt
Step 1
Concept
Here (a=38) and (d=-5) so (a_{17}=38+16(-5)=-42). In a decreasing AP take (d) as negative.
Step 2
Why this answer is correct
The correct answer is A. (-42). Here (a=38) and (d=-5) so (a_{17}=38+16(-5)=-42). In a decreasing AP take (d) as negative.
Step 3
Exam Tip
यहां (a=38) और (d=-5) है इसलिए (a_{17}=38+16(-5)=-42)। घटती श्रेणी में (d) को ऋणात्मक लें।
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समान्तर श्रेणी \(4,11,18,\ldots\) का (28)वां पद क्या होगा?
What is the (28)th term of the AP \(4,11,18,\ldots\)?
#ap
#nth-term
#medium
#class10
A (190)
B (193)
C (196)
D (199)
Explanation opens after your attempt
Step 1
Concept
(a=4) and (d=7) so \(a_{28}=4+27\times7=193\). In exams remember to subtract (1) from the term number.
Step 2
Why this answer is correct
The correct answer is B. (193). (a=4) and (d=7) so \(a_{28}=4+27\times7=193\). In exams remember to subtract (1) from the term number.
Step 3
Exam Tip
(a=4) और (d=7) हैं इसलिए \(a_{28}=4+27\times7=193\)। परीक्षा में पद संख्या से (1) घटाना न भूलें।
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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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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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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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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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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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एपी \(40,36,32,28,\ldots\) का (15)वाँ पद ज्ञात करें।
Find the (15)th term of the AP \(40,36,32,28,\ldots\).
#ap
#nth-term
#easy
#class10
A (-20)
B (-18)
C (-16)
D (-14)
Explanation opens after your attempt
Step 1
Concept
Here (d=-4), so (a_{15}=40+14(-4)=-16). The common difference is added (14) times.
Step 2
Why this answer is correct
The correct answer is C. (-16). Here (d=-4), so (a_{15}=40+14(-4)=-16). The common difference is added (14) times.
Step 3
Exam Tip
यहाँ (d=-4) है इसलिए (a_{15}=40+14(-4)=-16)। (14) बार सार्व अंतर जोड़ना है।
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एपी \(18,23,28,33,\ldots\) में (8)वाँ पद ज्ञात करें।
Find the (8)th term in the AP \(18,23,28,33,\ldots\).
#ap
#nth-term
#easy
#class10
A (51)
B (53)
C (55)
D (57)
Explanation opens after your attempt
Step 1
Concept
Here (d=5), so \(a_8=18+7\times5=53\). The (8)th term includes (7) differences.
Step 2
Why this answer is correct
The correct answer is B. (53). Here (d=5), so \(a_8=18+7\times5=53\). The (8)th term includes (7) differences.
Step 3
Exam Tip
यहाँ (d=5) है इसलिए \(a_8=18+7\times5=53\)। (8)वें पद में (7) अंतर शामिल होते हैं।
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समांतर श्रेढ़ी \(21,28,35,42,\ldots\) का (14)वाँ पद क्या है?
What is the (14)th term of the AP \(21,28,35,42,\ldots\)?
#ap
#nth term
#common difference
A (112)
B (119)
C (105)
D (98)
Explanation opens after your attempt
Step 1
Concept
Here (a=21), (d=7), so \(a_{14}=21+13\times7=112\). Add (13d) for the (14)th term.
Step 2
Why this answer is correct
The correct answer is A. (112). Here (a=21), (d=7), so \(a_{14}=21+13\times7=112\). Add (13d) for the (14)th term.
Step 3
Exam Tip
यहाँ (a=21), (d=7) है, इसलिए \(a_{14}=21+13\times7=112\)। (14)वें पद के लिए (13d) जोड़ें।
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एक अंकगणितीय श्रेणी में तीसरे और सातवें पद का अंतर (28) है। सार्व अंतर क्या है?
In an arithmetic progression, the difference between the third and seventh terms is (28). What is the common difference?
#ap
#term gap
#find d
#expert
A (4)
B (6)
C (7)
D (14)
Explanation opens after your attempt
Step 1
Concept
From the third to the seventh term there are (4) gaps, so (4d=28) and (d=7). Convert term distance into number of gaps.
Step 2
Why this answer is correct
The correct answer is C. (7). From the third to the seventh term there are (4) gaps, so (4d=28) and (d=7). Convert term distance into number of gaps.
Step 3
Exam Tip
तीसरे से सातवें पद तक (4) अंतर होते हैं, इसलिए (4d=28) और (d=7)। पदों की दूरी को अंतरालों की संख्या में बदलें।
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यदि \(28,21,14,7,\ldots\) में (d) ज्ञात करना हो तो सही गणना कौन सी है?
If (d) is to be found in \(28,21,14,7,\ldots\), which calculation is correct?
#ap
#correct calculation
#negative d
#medium
A (28-21=7)
B (28+21=49)
C (21-28=-7)
D \(28\times21=588\)
Explanation opens after your attempt
Correct Answer
C. (21-28=-7)
Step 1
Concept
The common difference is next term minus previous term, so (21-28=-7). In a decreasing sequence the order of subtraction is very important.
Step 2
Why this answer is correct
The correct answer is C. (21-28=-7). The common difference is next term minus previous term, so (21-28=-7). In a decreasing sequence the order of subtraction is very important.
Step 3
Exam Tip
सार्व अंतर अगला पद घटा पिछला पद है इसलिए (21-28=-7)। घटते अनुक्रम में घटाव का क्रम बहुत जरूरी है।
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यदि \(10,16,22,28,\ldots\) में प्रत्येक पद में (3) जोड़ दिया जाए तो नए अनुक्रम का (d) क्या होगा?
If (3) is added to each term of \(10,16,22,28,\ldots\), what will be (d) of the new sequence?
#ap
#common difference
#transformed sequence
#medium
A (3)
B (6)
C (9)
D (13)
Explanation opens after your attempt
Step 1
Concept
Adding the same (3) to each term does not change the difference, so (d=6). Equal change in all terms does not change (d).
Step 2
Why this answer is correct
The correct answer is B. (6). Adding the same (3) to each term does not change the difference, so (d=6). Equal change in all terms does not change (d).
Step 3
Exam Tip
हर पद में समान (3) जोड़ने से अंतर नहीं बदलता, इसलिए (d=6) रहेगा। सभी पदों में समान बदलाव (d) को नहीं बदलता।
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यदि किसी समांतर श्रेढ़ी में (a=28) और दूसरा पद (19) है, तो सार्व अंतर क्या है?
If an arithmetic progression has (a=28) and second term (19), what is the common difference?
#arithmetic-progression
#find-d
#class10
A (9)
B (-9)
C (19)
D (47)
Explanation opens after your attempt
Step 1
Concept
The common difference is (19-28=-9). Find (d) by subtracting the first term from the second term.
Step 2
Why this answer is correct
The correct answer is B. (-9). The common difference is (19-28=-9). Find (d) by subtracting the first term from the second term.
Step 3
Exam Tip
सार्व अंतर (19-28=-9) है। दूसरे पद से पहले पद को घटाकर (d) निकालें।
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अनुक्रम \(16,20,24,28,\ldots\) में (a+d) का मान क्या है?
In the sequence \(16,20,24,28,\ldots\), what is the value of (a+d)?
#ap
#a plus d
#second term
#medium
A (16)
B (18)
C (20)
D (24)
Explanation opens after your attempt
Step 1
Concept
Here (a=16) and (d=4), so (a+d=20). (a+d) is actually the second term.
Step 2
Why this answer is correct
The correct answer is C. (20). Here (a=16) and (d=4), so (a+d=20). (a+d) is actually the second term.
Step 3
Exam Tip
यहां (a=16) और (d=4), इसलिए (a+d=20)। (a+d) वास्तव में दूसरा पद होता है।
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अनुक्रम \(18,23,28,33,\ldots\) का सार्व अंतर क्या है?
What is the common difference of the sequence \(18,23,28,33,\ldots\)?
#arithmetic progression
#common difference
#medium
#class ten
A (4)
B (5)
C (6)
D (10)
Explanation opens after your attempt
Step 1
Concept
The common difference is (23-18=5), and the same difference continues. In exams always check the difference of consecutive terms.
Step 2
Why this answer is correct
The correct answer is B. (5). The common difference is (23-18=5), and the same difference continues. In exams always check the difference of consecutive terms.
Step 3
Exam Tip
सार्व अंतर (23-18=5) है और आगे भी यही अंतर है। परीक्षा में दो क्रमागत पदों का अंतर जरूर जांचें।
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अनुक्रम \(18,23,28,33,\ldots\) में (23) कौन-सा पद है?
In the sequence \(18,23,28,33,\ldots\), which term is (23)?
#arithmetic-progression
#term-number
#class10
A पहला पद / First term
B दूसरा पद / Second term
C तीसरा पद / Third term
D चौथा पद / Fourth term
Explanation opens after your attempt
Correct Answer
B. दूसरा पद / Second term
Step 1
Concept
In the written order, (18) is the first term and (23) is the second term. Count from the start to find the term number.
Step 2
Why this answer is correct
The correct answer is B. दूसरा पद / Second term. In the written order, (18) is the first term and (23) is the second term. Count from the start to find the term number.
Step 3
Exam Tip
लिखे क्रम में (18) पहला और (23) दूसरा पद है। पद संख्या निकालते समय शुरू से गिनें।
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अनुक्रम \(13,18,23,28,\ldots\) में (a) और (d) क्रमशः क्या हैं?
In \(13,18,23,28,\ldots\), what are (a) and (d) respectively?
#arithmetic-progression
#first-term-common-difference
#class10
A (a=5,\ d=13)
B (a=13,\ d=5)
C (a=18,\ d=5)
D (a=13,\ d=18)
Explanation opens after your attempt
Correct Answer
B. (a=13,\ d=5)
Step 1
Concept
The first term is (a=13), and the common difference is (18-13=5). Do not change the order of asked values.
Step 2
Why this answer is correct
The correct answer is B. (a=13,\ d=5). The first term is (a=13), and the common difference is (18-13=5). Do not change the order of asked values.
Step 3
Exam Tip
पहला पद (a=13) और सार्व अंतर (18-13=5) है। क्रमशः पूछे गए मानों का क्रम न बदलें।
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अनुक्रम \(16,22,28,34,\ldots\) में चौथा पद क्या है?
What is the fourth term in \(16,22,28,34,\ldots\)?
#arithmetic-progression
#term-position
#class10
A (16)
B (22)
C (28)
D (34)
Explanation opens after your attempt
Step 1
Concept
In the written order, the fourth term is (34). In such questions, count directly instead of using a formula.
Step 2
Why this answer is correct
The correct answer is D. (34). In the written order, the fourth term is (34). In such questions, count directly instead of using a formula.
Step 3
Exam Tip
लिखे हुए क्रम में चौथा पद (34) है। ऐसे प्रश्न में सूत्र की जगह सीधी गिनती करें।
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अनुक्रम \(7,14,21,28,\ldots\) में अगला पद क्या होगा?
What will be the next term in \(7,14,21,28,\ldots\)?
#arithmetic-progression
#next-term
#class10
A (31)
B (34)
C (35)
D (42)
Explanation opens after your attempt
Step 1
Concept
Here (d=7). Therefore, the next term is (28+7=35).
Step 2
Why this answer is correct
The correct answer is C. (35). Here (d=7). Therefore, the next term is (28+7=35).
Step 3
Exam Tip
यहाँ (d=7) है। इसलिए अगला पद (28+7=35) होगा।
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एक सीढ़ी पर हर अगला डंडा पिछले से (6) सेमी ऊंचा है। ऊंचाइयां \(10,16,22,28,\ldots\) हैं तो यह क्या बनाती हैं?
On a ladder, each next rung is (6) cm higher than the previous one. The heights are \(10,16,22,28,\ldots\). What do they form?
#ap
#word problem
#equal increase
#class ten
A ज्यामितीय श्रेणी / Geometric progression
B साधारण सूची / Simple list
C कोई अनुक्रम नहीं / No sequence
D अंकगणितीय श्रेणी / Arithmetic progression
Explanation opens after your attempt
Correct Answer
D. अंकगणितीय श्रेणी / Arithmetic progression
Step 1
Concept
There is an equal increase of (6) each time, so it is an arithmetic progression. In word problems look for equal increase.
Step 2
Why this answer is correct
The correct answer is D. अंकगणितीय श्रेणी / Arithmetic progression. There is an equal increase of (6) each time, so it is an arithmetic progression. In word problems look for equal increase.
Step 3
Exam Tip
हर बार (6) की समान वृद्धि है इसलिए यह अंकगणितीय श्रेणी है। शब्द प्रश्न में समान वृद्धि खोजें।
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समांतर श्रेढ़ी \(31,28,25,22,\ldots\) का सार्व अंतर क्या है?
What is the common difference of the arithmetic progression \(31,28,25,22,\ldots\)?
#arithmetic-progression
#common-difference
#class10
A (3)
B (-3)
C (6)
D (-6)
Explanation opens after your attempt
Step 1
Concept
(28-31=-3). In a decreasing progression, the common difference is written as negative.
Step 2
Why this answer is correct
The correct answer is B. (-3). (28-31=-3). In a decreasing progression, the common difference is written as negative.
Step 3
Exam Tip
(28-31=-3) है। घटती श्रेढ़ी में सार्व अंतर ऋणात्मक लिखा जाता है।
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युग्म (7x+fy=2) और (28x+20y=13) में कोई हल न होने के लिए (f) क्या होगा?
What is (f) for no solution in (7x+fy=2) and (28x+20y=13)?
#class10
#linear-equations
#solvability
A (f=4)
B (f=5)
C (f=6)
D (f=7)
Explanation opens after your attempt
Step 1
Concept
To make the coefficient ratio \(\frac{1}{4}\), (f=5) is required. The different constant ratio gives no solution.
Step 2
Why this answer is correct
The correct answer is B. (f=5). To make the coefficient ratio \(\frac{1}{4}\), (f=5) is required. The different constant ratio gives no solution.
Step 3
Exam Tip
गुणांक अनुपात \(\frac{1}{4}\) बनाने के लिए (f=5) चाहिए। स्थिर पद अनुपात अलग होने से कोई हल नहीं होगा।
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युग्म (2x+3y=d) और (14x+21y=28) में कोई हल न हो, इसके लिए (d) पर कौन-सी शर्त होगी?
For (2x+3y=d) and (14x+21y=28) to have no solution, what condition is required on (d)?
#class10
#linear-equations
#solvability
A (d=4)
B \(d\neq4\)
C (d=7)
D \(d\neq7\)
Explanation opens after your attempt
Correct Answer
B. \(d\neq4\)
Step 1
Concept
The coefficient ratio is \(\frac{1}{7}\). For no solution, \(\frac{d}{28}\neq\frac{1}{7}\), so \(d\neq4\).
Step 2
Why this answer is correct
The correct answer is B. \(d\neq4\). The coefficient ratio is \(\frac{1}{7}\). For no solution, \(\frac{d}{28}\neq\frac{1}{7}\), so \(d\neq4\).
Step 3
Exam Tip
गुणांक अनुपात \(\frac{1}{7}\) है। कोई हल नहीं के लिए \(\frac{d}{28}\neq\frac{1}{7}\), इसलिए \(d\neq4\)।
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समीकरणों (7x+dy=63) और (28x+36y=252) के अनंत हल होने के लिए (d) का मान क्या है?
What is the value of (d) for the equations (7x+dy=63) and (28x+36y=252) to have infinitely many solutions?
#linear equations
#expert
#parameter
#dependent pair
A (7)
B (8)
C (9)
D (10)
Explanation opens after your attempt
Step 1
Concept
For infinitely many solutions, (7/28=d/36=63/252) must hold. Therefore, (d=9).
Step 2
Why this answer is correct
The correct answer is C. (9). For infinitely many solutions, (7/28=d/36=63/252) must hold. Therefore, (d=9).
Step 3
Exam Tip
अनंत हल के लिए (7/28=d/36=63/252) होना चाहिए। इसलिए (d=9)।
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समीकरणों (bx+16y=64) और (14x+28y=131) का कोई हल न होने के लिए (b) का मान क्या होगा?
What is the value of (b) for the equations (bx+16y=64) and (14x+28y=131) to have no solution?
#linear equations
#expert
#no solution
#parameter
A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Step 1
Concept
For no solution, (b/14=16/28) and (64/131) must be different. Hence, (b=8).
Step 2
Why this answer is correct
The correct answer is C. (8). For no solution, (b/14=16/28) and (64/131) must be different. Hence, (b=8).
Step 3
Exam Tip
कोई हल नहीं के लिए (b/14=16/28) और (64/131) अलग होना चाहिए। इसलिए (b=8)।
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समीकरणों (5x+ay=45) और (20x+28y=180) के अनंत हल होने के लिए (a) का मान क्या होगा?
What is the value of (a) for the equations (5x+ay=45) and (20x+28y=180) to have infinitely many solutions?
#linear equations
#hard
#infinite solutions
#parameter
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
For infinitely many solutions, (5/20=a/28=45/180) must hold. Therefore, (a=7) is correct.
Step 2
Why this answer is correct
The correct answer is C. (7). For infinitely many solutions, (5/20=a/28=45/180) must hold. Therefore, (a=7) is correct.
Step 3
Exam Tip
अनंत हल के लिए (5/20=a/28=45/180) होना चाहिए। इसलिए (a=7) सही है।
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दो टिकटों के दामों के लिए (8x+3y=280) और (16x+6y=575) समीकरण बने। यह प्रणाली कैसी है?
For prices of two tickets, the equations (8x+3y=280) and (16x+6y=575) are formed. What type of system is this?
#linear equations
#hard
#word problem
#inconsistent
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D अनंत हल वाली / With infinitely many solutions
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
The first two ratios are equal but (280/575) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios are equal but (280/575) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात बराबर हैं लेकिन (280/575) अलग है। इसलिए प्रणाली असंगत है।
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समीकरणों (21x+28y=84) और (3x+4y=15) को देखकर कौन-सा निष्कर्ष सही है?
Which conclusion is correct by observing the equations (21x+28y=84) and (3x+4y=15)?
#linear equations
#hard
#observation
#no solution
A तीनों अनुपात बराबर हैं / All three ratios are equal
B पहले दो अनुपात बराबर हैं लेकिन स्थिर पद का अनुपात अलग है / First two ratios are equal but the constant ratio is different
C पहले दो अनुपात अलग हैं / First two ratios are different
D रेखाएं कटती हैं / Lines intersect
Explanation opens after your attempt
Correct Answer
B. पहले दो अनुपात बराबर हैं लेकिन स्थिर पद का अनुपात अलग है / First two ratios are equal but the constant ratio is different
Step 1
Concept
Here (21/3=28/4) but (84/15) is different. Therefore, there will be no solution.
Step 2
Why this answer is correct
The correct answer is B. पहले दो अनुपात बराबर हैं लेकिन स्थिर पद का अनुपात अलग है / First two ratios are equal but the constant ratio is different. Here (21/3=28/4) but (84/15) is different. Therefore, there will be no solution.
Step 3
Exam Tip
यहां (21/3=28/4) लेकिन (84/15) अलग है। इसलिए कोई हल नहीं होगा।
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समीकरणों (bx+14y=56) और (12x+28y=115) का कोई हल न होने के लिए (b) का मान क्या होगा?
What is the value of (b) for the equations (bx+14y=56) and (12x+28y=115) to have no solution?
#linear equations
#hard
#no solution
#parameter
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
For no solution, (b/12=14/28) and (56/115) must be different. Hence, (b=6).
Step 2
Why this answer is correct
The correct answer is C. (6). For no solution, (b/12=14/28) and (56/115) must be different. Hence, (b=6).
Step 3
Exam Tip
कोई हल नहीं के लिए (b/12=14/28) और (56/115) अलग होना चाहिए। इसलिए (b=6)।
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समीकरणों (14x+9y=61) और (28x+18y=122) को देखकर कौन-सा कथन सही है?
Which statement is correct by observing the equations (14x+9y=61) and (28x+18y=122)?
#linear equations
#hard
#observation
#same line
A रेखाएं समानांतर और अलग हैं / Lines are parallel and distinct
B रेखाएं एक ही हैं / Lines are the same
C रेखाएं एक बिंदु पर कटती हैं / Lines intersect at one point
D कोई हल नहीं है / There is no solution
Explanation opens after your attempt
Correct Answer
B. रेखाएं एक ही हैं / Lines are the same
Step 1
Concept
The second equation is (2) times the first. Therefore, both lines are the same.
Step 2
Why this answer is correct
The correct answer is B. रेखाएं एक ही हैं / Lines are the same. The second equation is (2) times the first. Therefore, both lines are the same.
Step 3
Exam Tip
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों रेखाएं एक ही हैं।
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समीकरणों (20x+28y=84) और (5x+7y=23) का युग्म किस प्रकार का है?
What type of pair is formed by the equations (20x+28y=84) and (5x+7y=23)?
#linear equations
#hard
#inconsistent
#classification
A संगत और स्वतंत्र / Consistent and independent
B संगत और आश्रित / Consistent and dependent
C असंगत / Inconsistent
D संपाती / Coincident
Explanation opens after your attempt
Correct Answer
C. असंगत / Inconsistent
Step 1
Concept
Here (20/5=28/7) but (84/23) is different. Therefore, this is an inconsistent pair.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. Here (20/5=28/7) but (84/23) is different. Therefore, this is an inconsistent pair.
Step 3
Exam Tip
यहां (20/5=28/7) लेकिन (84/23) अलग है। इसलिए यह असंगत युग्म है।
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