एक स्कूल प्रयोगशाला में पहले दिन (7) उपकरण रखे गए और हर अगले दिन (3) उपकरण अधिक रखे गए। (10) दिनों में कुल कितने उपकरण रखे जाएंगे?
In a school laboratory (7) instruments are placed on the first day and (3) more instruments are placed each next day. How many instruments are placed in (10) days?
Explanation opens after your attempt
Step 1
Concept
The number of instruments is \(7,10,13,\ldots\). \(S_{10}=205\).
Step 2
Why this answer is correct
The correct answer is C. (205). The number of instruments is \(7,10,13,\ldots\). \(S_{10}=205\).
Step 3
Exam Tip
उपकरणों की संख्या \(7,10,13,\ldots\) है। \(S_{10}=205\) होगा।
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एक कपड़ा दुकान पहले दिन (45) मीटर कपड़ा बेचती है और हर अगले दिन (5) मीटर अधिक बेचती है। (9)वें दिन कितने मीटर कपड़ा बिकेगा?
A cloth shop sells (45) metres of cloth on the first day and (5) metres more each next day. How many metres of cloth are sold on the (9)th day?
Explanation opens after your attempt
Correct Answer
B. (85) मीटर/(85) metres
Step 1
Concept
The cloth sales form an AP. (a_9=45+8(5)=85).
Step 2
Why this answer is correct
The correct answer is B. (85) मीटर / (85) metres. The cloth sales form an AP. (a_9=45+8(5)=85).
Step 3
Exam Tip
कपड़े की बिक्री समान्तर श्रेणी है। (a_9=45+8(5)=85)।
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एक खेल क्लब में पहले दिन (15) सदस्य जुड़े और हर अगले दिन (5) सदस्य अधिक जुड़े। (7) दिनों में कुल कितने सदस्य जुड़ेंगे?
In a sports club (15) members join on the first day and (5) more members join each next day. How many members join in (7) days?
Explanation opens after your attempt
Step 1
Concept
The number of members is \(15,20,25,\ldots\). \(S_7=210\).
Step 2
Why this answer is correct
The correct answer is C. (210). The number of members is \(15,20,25,\ldots\). \(S_7=210\).
Step 3
Exam Tip
सदस्यों की संख्या \(15,20,25,\ldots\) है। \(S_7=210\)।
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एक दवा की खुराक पहले दिन (15) मिलीग्राम है और हर अगले दिन (5) मिलीग्राम बढ़ती है। (7)वें दिन खुराक कितनी होगी?
A medicine dose is (15) mg on the first day and increases by (5) mg each next day. What is the dose on the (7)th day?
Explanation opens after your attempt
Correct Answer
B. (45) मिलीग्राम/(45) mg
Step 1
Concept
The dose forms an AP. (a_7=15+6(5)=45).
Step 2
Why this answer is correct
The correct answer is B. (45) मिलीग्राम / (45) mg. The dose forms an AP. (a_7=15+6(5)=45).
Step 3
Exam Tip
खुराक समान्तर श्रेणी है। (a_7=15+6(5)=45)।
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एक कार्यालय में पहले महीने (5) नए कर्मचारी जुड़े और हर अगले महीने (2) कर्मचारी अधिक जुड़े। (9) महीनों में कुल कितने कर्मचारी जुड़ेंगे?
In an office (5) new employees join in the first month and (2) more employees join each next month. How many employees join in (9) months?
Explanation opens after your attempt
Step 1
Concept
The number of employees is \(5,7,9,\ldots\). \(S_9=117\).
Step 2
Why this answer is correct
The correct answer is B. (117). The number of employees is \(5,7,9,\ldots\). \(S_9=117\).
Step 3
Exam Tip
कर्मचारियों की संख्या \(5,7,9,\ldots\) है। \(S_9=117\) होगा।
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एक कारीगर पहले दिन (10) खिलौने बनाता है और हर अगले दिन (3) खिलौने अधिक बनाता है। (11)वें दिन कितने खिलौने बनेंगे?
A craftsperson makes (10) toys on the first day and (3) more toys each next day. How many toys are made on the (11)th day?
Explanation opens after your attempt
Step 1
Concept
The number of toys is \(10,13,16,\ldots\). (a_{11}=10+10(3)=40).
Step 2
Why this answer is correct
The correct answer is C. (40). The number of toys is \(10,13,16,\ldots\). (a_{11}=10+10(3)=40).
Step 3
Exam Tip
खिलौनों की संख्या \(10,13,16,\ldots\) है। (a_{11}=10+10(3)=40)।
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एक प्रतियोगिता में पहले दिन (40) प्रतिभागी आए और हर अगले दिन (10) प्रतिभागी अधिक आए। (6) दिनों में कुल कितने प्रतिभागी आए?
In a competition (40) participants come on the first day and (10) more participants come each next day. How many participants come in (6) days?
Explanation opens after your attempt
Step 1
Concept
The number of participants is \(40,50,60,\ldots\). \(S_6=390\).
Step 2
Why this answer is correct
The correct answer is C. (390). The number of participants is \(40,50,60,\ldots\). \(S_6=390\).
Step 3
Exam Tip
प्रतिभागियों की संख्या \(40,50,60,\ldots\) है। \(S_6=390\)।
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एक स्कूल बस पहले दिन (25) किलोमीटर चली और हर अगले दिन (5) किलोमीटर अधिक चली। (8)वें दिन बस कितनी दूरी चलेगी?
A school bus travels (25) km on the first day and (5) km more each next day. How far will the bus travel on the (8)th day?
Explanation opens after your attempt
Correct Answer
B. (60) किलोमीटर/(60) km
Step 1
Concept
The distance forms an AP. (a_8=25+7(5)=60).
Step 2
Why this answer is correct
The correct answer is B. (60) किलोमीटर / (60) km. The distance forms an AP. (a_8=25+7(5)=60).
Step 3
Exam Tip
दूरी समान्तर श्रेणी है। (a_8=25+7(5)=60)।
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एक मोबाइल डेटा योजना में पहले दिन (2) जीबी डेटा मिलता है और हर अगले दिन (3) जीबी अधिक मिलता है। (8) दिनों में कुल कितना डेटा मिलेगा?
In a mobile data plan (2) GB data is given on the first day and (3) GB more each next day. How much total data is given in (8) days?
Explanation opens after your attempt
Correct Answer
C. (100) जीबी/(100) GB
Step 1
Concept
The data amounts are \(2,5,8,\ldots\). \(S_8=100\) GB.
Step 2
Why this answer is correct
The correct answer is C. (100) जीबी / (100) GB. The data amounts are \(2,5,8,\ldots\). \(S_8=100\) GB.
Step 3
Exam Tip
डेटा मात्रा \(2,5,8,\ldots\) है। \(S_8=100\) जीबी होगा।
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एक अखबार विक्रेता पहले दिन (90) अखबार बेचता है और हर अगले दिन (15) अखबार अधिक बेचता है। (7)वें दिन कितने अखबार बिकेंगे?
A newspaper seller sells (90) newspapers on the first day and (15) more newspapers each next day. How many newspapers are sold on the (7)th day?
Explanation opens after your attempt
Step 1
Concept
The newspaper sales form an AP. (a_7=90+6(15)=180).
Step 2
Why this answer is correct
The correct answer is B. (180). The newspaper sales form an AP. (a_7=90+6(15)=180).
Step 3
Exam Tip
अखबारों की बिक्री समान्तर श्रेणी है। (a_7=90+6(15)=180)।
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एक कंप्यूटर लैब में पहले दिन (6) कंप्यूटर लगाए गए और हर अगले दिन (4) कंप्यूटर अधिक लगाए गए। (6) दिनों में कुल कितने कंप्यूटर लगेंगे?
In a computer lab (6) computers are installed on the first day and (4) more computers are installed each next day. How many computers are installed in (6) days?
Explanation opens after your attempt
Step 1
Concept
The number of computers is \(6,10,14,\ldots\). \(S_6=96\).
Step 2
Why this answer is correct
The correct answer is A. (96). The number of computers is \(6,10,14,\ldots\). \(S_6=96\).
Step 3
Exam Tip
कंप्यूटरों की संख्या \(6,10,14,\ldots\) है। \(S_6=96\)।
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एक गाड़ी की सर्विस लागत पहले वर्ष (1500) रुपये है और हर अगले वर्ष (400) रुपये बढ़ती है। (5)वें वर्ष लागत कितनी होगी?
The service cost of a vehicle is (1500) rupees in the first year and increases by (400) rupees each next year. What is the cost in the (5)th year?
Explanation opens after your attempt
Correct Answer
C. (3100) रुपये/(3100) rupees
Step 1
Concept
The cost forms an AP. (a_5=1500+4(400)=3100).
Step 2
Why this answer is correct
The correct answer is C. (3100) रुपये / (3100) rupees. The cost forms an AP. (a_5=1500+4(400)=3100).
Step 3
Exam Tip
लागत समान्तर श्रेणी है। (a_5=1500+4(400)=3100)।
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एक कैटरिंग सेवा पहली मेज पर (10) प्लेट रखती है और हर अगली मेज पर (2) प्लेट अधिक रखती है। (12) मेजों पर कुल कितनी प्लेटें होंगी?
A catering service places (10) plates on the first table and (2) more plates on each next table. How many plates are placed on (12) tables?
Explanation opens after your attempt
Step 1
Concept
The number of plates is \(10,12,14,\ldots\). \(S_{12}=252\).
Step 2
Why this answer is correct
The correct answer is B. (252). The number of plates is \(10,12,14,\ldots\). \(S_{12}=252\).
Step 3
Exam Tip
प्लेटों की संख्या \(10,12,14,\ldots\) है। \(S_{12}=252\) होगा।
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एक बस पहले स्टॉप पर (9) यात्री लेती है और हर अगले स्टॉप पर (3) यात्री अधिक चढ़ते हैं। (9)वें स्टॉप पर कितने यात्री चढ़ेंगे?
A bus takes (9) passengers at the first stop and (3) more passengers board at each next stop. How many passengers board at the (9)th stop?
Explanation opens after your attempt
Step 1
Concept
The passenger numbers are \(9,12,15,\ldots\). (a_9=9+8(3)=33).
Step 2
Why this answer is correct
The correct answer is B. (33). The passenger numbers are \(9,12,15,\ldots\). (a_9=9+8(3)=33).
Step 3
Exam Tip
यात्रियों की संख्या \(9,12,15,\ldots\) है। (a_9=9+8(3)=33)।
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एक अभ्यास योजना में पहले दिन (16) प्रश्न हल किए गए और हर अगले दिन (4) प्रश्न अधिक हल किए गए। (8) दिनों में कुल कितने प्रश्न हल होंगे?
In a practice plan (16) questions are solved on the first day and (4) more questions each next day. How many questions are solved in (8) days?
Explanation opens after your attempt
Step 1
Concept
The number of questions is \(16,20,24,\ldots\). \(S_8=240\).
Step 2
Why this answer is correct
The correct answer is B. (240). The number of questions is \(16,20,24,\ldots\). \(S_8=240\).
Step 3
Exam Tip
प्रश्नों की संख्या \(16,20,24,\ldots\) है। \(S_8=240\)।
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एक पेड़ारोपण अभियान में पहले दिन (18) पेड़ लगाए गए और हर अगले दिन (6) पेड़ अधिक लगाए गए। (7)वें दिन कितने पेड़ लगाए जाएंगे?
In a tree plantation drive (18) trees are planted on the first day and (6) more trees each next day. How many trees are planted on the (7)th day?
Explanation opens after your attempt
Step 1
Concept
The number of trees forms an AP. (a_7=18+6(6)=54).
Step 2
Why this answer is correct
The correct answer is D. (54). The number of trees forms an AP. (a_7=18+6(6)=54).
Step 3
Exam Tip
पेड़ों की संख्या समान्तर श्रेणी है। (a_7=18+6(6)=54)।
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एक छात्र पहले दिन (12) शब्द सीखता है और हर अगले दिन (4) शब्द अधिक सीखता है। (9)वें दिन वह कितने शब्द सीखेगा?
A student learns (12) words on the first day and (4) more words each next day. How many words will he learn on the (9)th day?
Explanation opens after your attempt
Step 1
Concept
The number of words is \(12,16,20,\ldots\). (a_9=12+8(4)=44).
Step 2
Why this answer is correct
The correct answer is C. (44). The number of words is \(12,16,20,\ldots\). (a_9=12+8(4)=44).
Step 3
Exam Tip
शब्दों की संख्या \(12,16,20,\ldots\) है। (a_9=12+8(4)=44)।
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एक होटल में पहली मंजिल पर (18) कमरे हैं और हर अगली मंजिल पर (2) कमरे अधिक हैं। (9) मंजिलों में कुल कितने कमरे होंगे?
A hotel has (18) rooms on the first floor and (2) more rooms on each next floor. How many rooms are there in (9) floors?
Explanation opens after your attempt
Step 1
Concept
The number of rooms is \(18,20,22,\ldots\). \(S_9=234\).
Step 2
Why this answer is correct
The correct answer is B. (234). The number of rooms is \(18,20,22,\ldots\). \(S_9=234\).
Step 3
Exam Tip
कमरों की संख्या \(18,20,22,\ldots\) है। \(S_9=234\) होगा।
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एक दान पेटी में पहले दिन (80) रुपये आए और हर अगले दिन (20) रुपये अधिक आए। (8)वें दिन कितने रुपये आएंगे?
A donation box receives (80) rupees on the first day and (20) rupees more each next day. How much money is received on the (8)th day?
Explanation opens after your attempt
Correct Answer
C. (220) रुपये/(220) rupees
Step 1
Concept
The donation amount forms an AP. (a_8=80+7(20)=220).
Step 2
Why this answer is correct
The correct answer is C. (220) रुपये / (220) rupees. The donation amount forms an AP. (a_8=80+7(20)=220).
Step 3
Exam Tip
दान राशि समान्तर श्रेणी है। (a_8=80+7(20)=220)।
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एक पौधशाला पहले दिन (14) गमले बेचती है और हर अगले दिन (3) गमले अधिक बेचती है। (10) दिनों में कुल कितने गमले बिकेंगे?
A nursery sells (14) pots on the first day and (3) more pots each next day. How many pots are sold in (10) days?
Explanation opens after your attempt
Step 1
Concept
The pot sales are \(14,17,20,\ldots\). \(S_{10}=275\).
Step 2
Why this answer is correct
The correct answer is C. (275). The pot sales are \(14,17,20,\ldots\). \(S_{10}=275\).
Step 3
Exam Tip
गमलों की बिक्री \(14,17,20,\ldots\) है। \(S_{10}=275\)।
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एक कॉल सेंटर पहले घंटे (45) कॉल संभालता है और हर अगले घंटे (5) कॉल अधिक संभालता है। (9)वें घंटे कितनी कॉल संभाली जाएंगी?
A call centre handles (45) calls in the first hour and (5) more calls each next hour. How many calls are handled in the (9)th hour?
Explanation opens after your attempt
Step 1
Concept
The number of calls forms an AP. (a_9=45+8(5)=85).
Step 2
Why this answer is correct
The correct answer is B. (85). The number of calls forms an AP. (a_9=45+8(5)=85).
Step 3
Exam Tip
कॉल संख्या समान्तर श्रेणी है। (a_9=45+8(5)=85)।
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एक कला कक्षा में पहले दिन (5) चित्र बनाए गए और हर अगले दिन (2) चित्र अधिक बनाए गए। (12) दिनों में कुल कितने चित्र बनेंगे?
In an art class (5) drawings are made on the first day and (2) more drawings each next day. How many drawings are made in (12) days?
Explanation opens after your attempt
Step 1
Concept
The number of drawings is \(5,7,9,\ldots\). \(S_{12}=192\).
Step 2
Why this answer is correct
The correct answer is C. (192). The number of drawings is \(5,7,9,\ldots\). \(S_{12}=192\).
Step 3
Exam Tip
चित्रों की संख्या \(5,7,9,\ldots\) है। \(S_{12}=192\) होगा।
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एक सड़क पर पहले दो खंभों के बीच दूरी (8) मीटर है और हर अगली दूरी (3) मीटर बढ़ती है। (7)वें अंतर की दूरी कितनी होगी?
On a road the distance between the first two poles is (8) metres and each next distance increases by (3) metres. What is the distance of the (7)th gap?
Explanation opens after your attempt
Correct Answer
D. (26) मीटर/(26) metres
Step 1
Concept
The distances are \(8,11,14,\ldots\). (a_7=8+6(3)=26) metres.
Step 2
Why this answer is correct
The correct answer is D. (26) मीटर / (26) metres. The distances are \(8,11,14,\ldots\). (a_7=8+6(3)=26) metres.
Step 3
Exam Tip
दूरियां \(8,11,14,\ldots\) हैं। (a_7=8+6(3)=26) मीटर।
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एक गोदाम में पहले रैक पर (12) बोरे हैं और हर अगले रैक पर (6) बोरे अधिक हैं। (8) रैक पर कुल कितने बोरे होंगे?
In a warehouse the first rack has (12) sacks and each next rack has (6) more sacks. How many sacks are there on (8) racks?
Explanation opens after your attempt
Step 1
Concept
The number of sacks is \(12,18,24,\ldots\). \(S_8=264\).
Step 2
Why this answer is correct
The correct answer is A. (264). The number of sacks is \(12,18,24,\ldots\). \(S_8=264\).
Step 3
Exam Tip
बोरों की संख्या \(12,18,24,\ldots\) है। \(S_8=264\) होगा।
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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?
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 ट्रेन पहले घंटे (55) किलोमीटर चलती है और हर अगले घंटे (5) किलोमीटर अधिक चलती है। (6) घंटे में कुल दूरी कितनी होगी?
A train travels (55) km in the first hour and (5) km more each next hour. What is the total distance in (6) hours?
Explanation opens after your attempt
Correct Answer
B. (405) किलोमीटर/(405) km
Step 1
Concept
The distances form the AP \(55,60,65,\ldots\). \(S_6=405\) km.
Step 2
Why this answer is correct
The correct answer is B. (405) किलोमीटर / (405) km. The distances form the AP \(55,60,65,\ldots\). \(S_6=405\) km.
Step 3
Exam Tip
दूरी \(55,60,65,\ldots\) समान्तर श्रेणी है। \(S_6=405\) किलोमीटर होगा।
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एक कक्षा में पहले समूह में (8) विद्यार्थी हैं और हर अगले समूह में (4) विद्यार्थी अधिक हैं। (7) समूहों में कुल कितने विद्यार्थी होंगे?
In a class the first group has (8) students and each next group has (4) more students. How many students are there in (7) groups?
Explanation opens after your attempt
Step 1
Concept
The group sizes are \(8,12,16,\ldots\). \(S_7=140\).
Step 2
Why this answer is correct
The correct answer is B. (140). The group sizes are \(8,12,16,\ldots\). \(S_7=140\).
Step 3
Exam Tip
समूहों में विद्यार्थी \(8,12,16,\ldots\) हैं। \(S_7=140\) होगा।
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एक फैक्टरी पहले दिन (180) खिलौने बनाती है और हर अगले दिन (30) खिलौने अधिक बनाती है। (5)वें दिन कितने खिलौने बनेंगे?
A factory makes (180) toys on the first day and (30) more toys each next day. How many toys are made on the (5)th day?
Explanation opens after your attempt
Step 1
Concept
The production forms an AP. (a_5=180+4(30)=300).
Step 2
Why this answer is correct
The correct answer is B. (300). The production forms an AP. (a_5=180+4(30)=300).
Step 3
Exam Tip
उत्पादन समान्तर श्रेणी है। (a_5=180+4(30)=300)।
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एक फूलों की सजावट में पहली पंक्ति में (11) फूल हैं और हर अगली पंक्ति में (3) फूल अधिक हैं। (10) पंक्तियों में कुल कितने फूल होंगे?
In a flower decoration the first row has (11) flowers and each next row has (3) more flowers. How many flowers are there in (10) rows?
Explanation opens after your attempt
Step 1
Concept
The number of flowers is \(11,14,17,\ldots\). \(S_{10}=245\).
Step 2
Why this answer is correct
The correct answer is B. (245). The number of flowers is \(11,14,17,\ldots\). \(S_{10}=245\).
Step 3
Exam Tip
फूलों की संख्या \(11,14,17,\ldots\) है। \(S_{10}=245\)।
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एक जल टंकी में पहले घंटे (25) लीटर पानी भरा और हर अगले घंटे (5) लीटर अधिक भरा गया। (9)वें घंटे कितना पानी भरा जाएगा?
In a water tank (25) litres are filled in the first hour and (5) litres more in each next hour. How much water is filled in the (9)th hour?
Explanation opens after your attempt
Correct Answer
B. (65) लीटर/(65) litres
Step 1
Concept
The water amount forms an AP. (a_9=25+8(5)=65).
Step 2
Why this answer is correct
The correct answer is B. (65) लीटर / (65) litres. The water amount forms an AP. (a_9=25+8(5)=65).
Step 3
Exam Tip
पानी की मात्रा समान्तर श्रेणी है। (a_9=25+8(5)=65)।
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