एक स्टेडियम की पहली पंक्ति में (36) सीटें हैं और हर अगली पंक्ति में (4) सीटें अधिक हैं। यदि कुल सीटें (2520) हैं तो पंक्तियों की संख्या कितनी होगी?
The first row of a stadium has (36) seats and each next row has (4) more seats. If the total number of seats is (2520), how many rows are there?
#ap
#word-problem
#stadium
#find-n
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A (26)
B (27)
C (28)
D (29)
Explanation opens after your attempt
Step 1
Concept
The seats form an AP and \(S_n=2520\) gives (n=28). Exam tip: when total seats are given, form an \(S_n\) equation.
Step 2
Why this answer is correct
The correct answer is C. (28). The seats form an AP and \(S_n=2520\) gives (n=28). Exam tip: when total seats are given, form an \(S_n\) equation.
Step 3
Exam Tip
सीटें समान्तर श्रेणी बनाती हैं और \(S_n=2520\) से (n=28) मिलता है। परीक्षा में कुल सीटें दी हों तो \(S_n\) का समीकरण बनाएं।
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एक कर्मचारी का वेतन पहले महीने (42000) रुपये है और हर महीने (2500) रुपये बढ़ता है। पहले (10) महीनों का कुल वेतन कितना होगा?
An employee earns (42000) rupees in the first month and the salary increases by (2500) rupees each month. What is the total salary for the first (10) months?
#ap
#word-problem
#salary
#total
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A (522500)
B (532500)
C (542500)
D (552500)
Explanation opens after your attempt
Correct Answer
B. (532500)
Step 1
Concept
The salaries form the AP \(42000,44500,47000,\ldots\) and \(S_{10}=532500\). Exam tip: add all monthly salaries using the sum formula.
Step 2
Why this answer is correct
The correct answer is B. (532500). The salaries form the AP \(42000,44500,47000,\ldots\) and \(S_{10}=532500\). Exam tip: add all monthly salaries using the sum formula.
Step 3
Exam Tip
वेतन \(42000,44500,47000,\ldots\) समान्तर श्रेणी है और \(S_{10}=532500\)। परीक्षा में कुल वेतन के लिए सभी महीनों का योग लें।
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एक फैक्टरी पहले दिन (600) इकाइयां बनाती है और हर अगले दिन (22) इकाइयां कम बनाती है। पहले (18) दिनों में कुल उत्पादन कितना होगा?
A factory makes (600) units on the first day and (22) fewer units each next day. What is the total production in the first (18) days?
#ap
#word-problem
#factory
#decreasing
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A (7234)
B (7334)
C (7384)
D (7434)
Explanation opens after your attempt
Step 1
Concept
The production is the decreasing AP \(600,578,556,\ldots\) and \(S_{18}=7434\). Exam tip: treat a decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is D. (7434). The production is the decreasing AP \(600,578,556,\ldots\) and \(S_{18}=7434\). Exam tip: treat a decrease as a negative common difference.
Step 3
Exam Tip
उत्पादन \(600,578,556,\ldots\) घटती समान्तर श्रेणी है और \(S_{18}=7434\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक पुस्तकालय में पहले शेल्फ पर (24) किताबें हैं और (20) शेल्फों पर कुल (1240) किताबें हैं। यदि हर अगले शेल्फ पर बराबर वृद्धि है तो वृद्धि कितनी है?
In a library the first shelf has (24) books and there are (1240) books on (20) shelves. If each next shelf has an equal increase, what is the increase?
#ap
#word-problem
#library
#difference
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A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
Using \(S_{20}=1240\) and (a=24) gives (d=4). Exam tip: find the common difference from the total and first term.
Step 2
Why this answer is correct
The correct answer is D. (4). Using \(S_{20}=1240\) and (a=24) gives (d=4). Exam tip: find the common difference from the total and first term.
Step 3
Exam Tip
\(S_{20}=1240\) और (a=24) रखने पर (d=4) मिलता है। परीक्षा में कुल और प्रथम पद से सार्व अंतर निकालें।
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एक बगीचे में पहली कतार में (18) पौधे हैं और हर अगली कतार में (9) पौधे अधिक हैं। किस कतार में (207) पौधे होंगे?
In a garden the first row has (18) plants and each next row has (9) more plants. Which row will have (207) plants?
#ap
#word-problem
#garden
#target-row
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A (21)
B (22)
C (23)
D (24)
Explanation opens after your attempt
Step 1
Concept
From (18+(n-1)9=207), (n=22). Exam tip: set the target number equal to \(a_n\).
Step 2
Why this answer is correct
The correct answer is B. (22). From (18+(n-1)9=207), (n=22). Exam tip: set the target number equal to \(a_n\).
Step 3
Exam Tip
(18+(n-1)9=207) से (n=22) मिलता है। परीक्षा में लक्ष्य संख्या को \(a_n\) के बराबर रखें।
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एक मजदूर पहले दिन (75) ईंटें लगाता है और हर अगले दिन (13) ईंटें अधिक लगाता है। (16) दिनों में कुल कितनी ईंटें लगेंगी?
A worker lays (75) bricks on the first day and (13) more bricks each next day. How many bricks will be laid in (16) days?
#ap
#word-problem
#work
#bricks
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A (2640)
B (2700)
C (2760)
D (2820)
Explanation opens after your attempt
Step 1
Concept
The daily work forms the AP \(75,88,101,\ldots\) and \(S_{16}=2760\). Exam tip: treat the daily increase as the common difference.
Step 2
Why this answer is correct
The correct answer is C. (2760). The daily work forms the AP \(75,88,101,\ldots\) and \(S_{16}=2760\). Exam tip: treat the daily increase as the common difference.
Step 3
Exam Tip
दैनिक काम \(75,88,101,\ldots\) समान्तर श्रेणी है और \(S_{16}=2760\)। परीक्षा में दैनिक वृद्धि को सार्व अंतर मानें।
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एक दान अभियान में पहले दिन (250) रुपये मिले और हर अगले दिन (125) रुपये अधिक मिले। कुल (9625) रुपये जमा होने में कितने दिन लगेंगे?
In a donation campaign (250) rupees are received on the first day and (125) rupees more each next day. How many days will it take to collect (9625) rupees?
#ap
#word-problem
#donation
#target
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A (9)
B (10)
C (11)
D (12)
Explanation opens after your attempt
Step 1
Concept
The donation amounts are \(250,375,500,\ldots\) and \(S_n=9625\) gives (n=11). Exam tip: form an \(S_n\) equation for the target total.
Step 2
Why this answer is correct
The correct answer is C. (11). The donation amounts are \(250,375,500,\ldots\) and \(S_n=9625\) gives (n=11). Exam tip: form an \(S_n\) equation for the target total.
Step 3
Exam Tip
दान राशि \(250,375,500,\ldots\) है और \(S_n=9625\) से (n=11)। परीक्षा में लक्ष्य कुल राशि के लिए \(S_n\) का समीकरण बनाएं।
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एक सीढ़ी में नीचे की पंक्ति में (180) टाइलें हैं और हर ऊपर की पंक्ति में (8) टाइलें कम हैं। किस पंक्ति में (68) टाइलें होंगी?
A staircase has (180) tiles in the bottom row and (8) fewer tiles in each upper row. Which row will have (68) tiles?
#ap
#word-problem
#staircase
#decreasing
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A (13)
B (14)
C (15)
D (16)
Explanation opens after your attempt
Step 1
Concept
From (180+(n-1)(-8)=68), (n=15). Exam tip: handle the sign carefully in a decreasing AP.
Step 2
Why this answer is correct
The correct answer is C. (15). From (180+(n-1)(-8)=68), (n=15). Exam tip: handle the sign carefully in a decreasing AP.
Step 3
Exam Tip
(180+(n-1)(-8)=68) से (n=15) मिलता है। परीक्षा में घटती श्रेणी में चिन्ह सावधानी से रखें।
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एक टैक्सी में पहले किलोमीटर का किराया (120) रुपये है और हर अगले किलोमीटर का किराया (35) रुपये अधिक है। (12) किलोमीटर का कुल किराया कितना होगा?
In a taxi the fare for the first kilometre is (120) rupees and each next kilometre costs (35) rupees more. What is the total fare for (12) kilometres?
#ap
#word-problem
#taxi
#fare
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A (3650)
B (3700)
C (3750)
D (3800)
Explanation opens after your attempt
Step 1
Concept
The fares are \(120,155,190,\ldots\) and \(S_{12}=3750\). Exam tip: treat each kilometre's fare as one term.
Step 2
Why this answer is correct
The correct answer is C. (3750). The fares are \(120,155,190,\ldots\) and \(S_{12}=3750\). Exam tip: treat each kilometre's fare as one term.
Step 3
Exam Tip
किराया \(120,155,190,\ldots\) है और \(S_{12}=3750\)। परीक्षा में प्रत्येक किलोमीटर का किराया एक पद मानें।
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माचिस की तीलियों के पैटर्न में पहली आकृति में (22) तीलियां हैं और हर अगली आकृति में (11) तीलियां अधिक हैं। (19)वीं आकृति में कितनी तीलियां होंगी?
In a matchstick pattern the first figure has (22) matchsticks and each next figure has (11) more matchsticks. How many matchsticks are in the (19)th figure?
#ap
#word-problem
#matchstick
#pattern
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A (209)
B (220)
C (231)
D (242)
Explanation opens after your attempt
Step 1
Concept
The matchstick numbers are \(22,33,44,\ldots\) and \(a_{19}=220\). Exam tip: take the figure number as the term number.
Step 2
Why this answer is correct
The correct answer is B. (220). The matchstick numbers are \(22,33,44,\ldots\) and \(a_{19}=220\). Exam tip: take the figure number as the term number.
Step 3
Exam Tip
तीलियों की संख्या \(22,33,44,\ldots\) है और \(a_{19}=220\)। परीक्षा में आकृति संख्या को पद संख्या मानें।
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एक फंड में पहले सप्ताह (450) रुपये जमा हुए और हर अगले सप्ताह (60) रुपये अधिक जमा हुए। (15) सप्ताहों में कुल कितनी राशि जमा होगी?
A fund receives (450) rupees in the first week and (60) rupees more each next week. What is the total amount in (15) weeks?
#ap
#word-problem
#fund
#total
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A (12600)
B (12825)
C (13050)
D (13275)
Explanation opens after your attempt
Correct Answer
C. (13050)
Step 1
Concept
The deposits are \(450,510,570,\ldots\) and \(S_{15}=13050\). Exam tip: treat weekly deposits as AP terms.
Step 2
Why this answer is correct
The correct answer is C. (13050). The deposits are \(450,510,570,\ldots\) and \(S_{15}=13050\). Exam tip: treat weekly deposits as AP terms.
Step 3
Exam Tip
जमा राशि \(450,510,570,\ldots\) है और \(S_{15}=13050\)। परीक्षा में साप्ताहिक जमा को ए.पी. के पद मानें।
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एक जलाशय में पहले दिन (1800) लीटर पानी है और हर अगले दिन (75) लीटर पानी कम होता है। पहले (14) दिनों में देखी गई पानी की कुल मात्रा कितनी होगी?
A reservoir has (1800) litres of water on the first day and (75) litres less each next day. What is the total observed water amount over the first (14) days?
#ap
#word-problem
#reservoir
#total
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A (17875)
B (18125)
C (18375)
D (18625)
Explanation opens after your attempt
Correct Answer
C. (18375)
Step 1
Concept
The amounts form the decreasing AP \(1800,1725,1650,\ldots\) and \(S_{14}=18375\). Exam tip: keep (d) negative for decreasing quantities.
Step 2
Why this answer is correct
The correct answer is C. (18375). The amounts form the decreasing AP \(1800,1725,1650,\ldots\) and \(S_{14}=18375\). Exam tip: keep (d) negative for decreasing quantities.
Step 3
Exam Tip
मात्राएं \(1800,1725,1650,\ldots\) घटती समान्तर श्रेणी हैं और \(S_{14}=18375\)। परीक्षा में घटती मात्रा के लिए (d) ऋणात्मक रखें।
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एक कर्मचारी का वेतन पहले महीने (32000) रुपये है और हर महीने (2100) रुपये बढ़ता है। (11)वें महीने उसका वेतन कितना होगा?
An employee earns (32000) rupees in the first month and the salary increases by (2100) rupees each month. What is the salary in the (11)th month?
#ap
#word-problem
#salary
#nth-term
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A (52000)
B (53000)
C (54000)
D (55000)
Explanation opens after your attempt
Correct Answer
B. (53000)
Step 1
Concept
The salary forms an AP and \(a_{11}=53000\). Exam tip: find a particular month's salary using the (n)th term.
Step 2
Why this answer is correct
The correct answer is B. (53000). The salary forms an AP and \(a_{11}=53000\). Exam tip: find a particular month's salary using the (n)th term.
Step 3
Exam Tip
वेतन समान्तर श्रेणी है और \(a_{11}=53000\)। परीक्षा में किसी खास महीने का वेतन (n)वें पद से निकालें।
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एक पार्किंग में पहली पंक्ति में (48) गाड़ियां खड़ी हो सकती हैं और हर अगली पंक्ति में (8) गाड़ियां अधिक। (18) पंक्तियों की कुल क्षमता कितनी होगी?
In a parking area the first row can hold (48) cars and each next row can hold (8) more cars. What is the total capacity of (18) rows?
#ap
#word-problem
#parking
#capacity
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A (2016)
B (2048)
C (2088)
D (2124)
Explanation opens after your attempt
Step 1
Concept
The capacities are \(48,56,64,\ldots\) and \(S_{18}=2088\). Exam tip: add all rows for total capacity.
Step 2
Why this answer is correct
The correct answer is C. (2088). The capacities are \(48,56,64,\ldots\) and \(S_{18}=2088\). Exam tip: add all rows for total capacity.
Step 3
Exam Tip
क्षमता \(48,56,64,\ldots\) है और \(S_{18}=2088\)। परीक्षा में कुल क्षमता के लिए सभी पंक्तियों का योग लें।
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एक कारीगर पहले दिन (24) मिट्टी के बर्तन बनाता है और हर अगले दिन (9) बर्तन अधिक बनाता है। (18) दिनों में कुल कितने बर्तन बनेंगे?
A craftsperson makes (24) clay pots on the first day and (9) more pots each next day. How many pots are made in (18) days?
#ap
#word-problem
#pottery
#total
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A (1749)
B (1789)
C (1809)
D (1849)
Explanation opens after your attempt
Step 1
Concept
The pot numbers are \(24,33,42,\ldots\) and \(S_{18}=1809\). Exam tip: use the sum formula for total production.
Step 2
Why this answer is correct
The correct answer is C. (1809). The pot numbers are \(24,33,42,\ldots\) and \(S_{18}=1809\). Exam tip: use the sum formula for total production.
Step 3
Exam Tip
बर्तनों की संख्या \(24,33,42,\ldots\) है और \(S_{18}=1809\)। परीक्षा में कुल उत्पादन के लिए योग सूत्र लगाएं।
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एक स्कूल में पहले दिन (60) नए दाखिले हुए और हर अगले दिन (20) दाखिले अधिक हुए। कुल (3000) दाखिले होने में कितने दिन लगेंगे?
In a school (60) new admissions happen on the first day and (20) more admissions happen each next day. How many days are needed for (3000) admissions?
#ap
#word-problem
#admissions
#target
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A (12)
B (13)
C (14)
D (15)
Explanation opens after your attempt
Step 1
Concept
The admissions are \(60,80,100,\ldots\) and \(S_n=3000\) gives (n=15). Exam tip: connect the target total with the sum formula.
Step 2
Why this answer is correct
The correct answer is D. (15). The admissions are \(60,80,100,\ldots\) and \(S_n=3000\) gives (n=15). Exam tip: connect the target total with the sum formula.
Step 3
Exam Tip
दाखिलों की संख्या \(60,80,100,\ldots\) है और \(S_n=3000\) से (n=15)। परीक्षा में कुल लक्ष्य को योग सूत्र से जोड़ें।
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एक मशीन पहले घंटे (120) इकाइयां बनाती है और हर अगले घंटे (18) इकाइयां अधिक बनाती है। (16)वें घंटे में उत्पादन कितना होगा?
A machine produces (120) units in the first hour and (18) more units each next hour. What is the production in the (16)th hour?
#ap
#word-problem
#machine
#nth-term
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A (360)
B (380)
C (390)
D (400)
Explanation opens after your attempt
Step 1
Concept
The production is \(120,138,156,\ldots\) and \(a_{16}=390\). Exam tip: take the hour as the term number.
Step 2
Why this answer is correct
The correct answer is C. (390). The production is \(120,138,156,\ldots\) and \(a_{16}=390\). Exam tip: take the hour as the term number.
Step 3
Exam Tip
उत्पादन \(120,138,156,\ldots\) है और \(a_{16}=390\)। परीक्षा में घंटे को पद संख्या मानें।
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एक निर्माण दल पहले दिन (25) घंटे काम करता है और हर अगले दिन (7) घंटे अधिक काम करता है। (13) दिनों में कुल कितने घंटे काम होगा?
A construction team works (25) hours on the first day and (7) more hours each next day. How many hours of work are done in (13) days?
#ap
#word-problem
#construction
#hours
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A (851)
B (861)
C (871)
D (881)
Explanation opens after your attempt
Step 1
Concept
The work hours are \(25,32,39,\ldots\) and \(S_{13}=871\). Exam tip: add all days using the sum formula for total hours.
Step 2
Why this answer is correct
The correct answer is C. (871). The work hours are \(25,32,39,\ldots\) and \(S_{13}=871\). Exam tip: add all days using the sum formula for total hours.
Step 3
Exam Tip
काम के घंटे \(25,32,39,\ldots\) हैं और \(S_{13}=871\)। परीक्षा में कुल घंटे के लिए सभी दिनों का योग लें।
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एक किस्त योजना में पहली किस्त (8000) रुपये है और हर अगली किस्त (1200) रुपये अधिक है। (8) किस्तों का कुल योग कितना होगा?
In an instalment plan the first instalment is (8000) rupees and each next instalment is (1200) rupees more. What is the total of (8) instalments?
#ap
#word-problem
#installment
#total
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A (94000)
B (96000)
C (97600)
D (99200)
Explanation opens after your attempt
Correct Answer
C. (97600)
Step 1
Concept
The instalments are \(8000,9200,10400,\ldots\) and \(S_8=97600\). Exam tip: treat instalments as AP terms.
Step 2
Why this answer is correct
The correct answer is C. (97600). The instalments are \(8000,9200,10400,\ldots\) and \(S_8=97600\). Exam tip: treat instalments as AP terms.
Step 3
Exam Tip
किस्तें \(8000,9200,10400,\ldots\) हैं और \(S_8=97600\)। परीक्षा में किस्तों को समान्तर श्रेणी के पद मानें।
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एक थिएटर में (20) पंक्तियों में कुल (1740) सीटें हैं। यदि हर अगली पंक्ति में (6) सीटें अधिक हैं तो पहली पंक्ति में कितनी सीटें थीं?
A theatre has (1740) seats in (20) rows. If each next row has (6) more seats, how many seats were in the first row?
#ap
#word-problem
#theatre
#first-row
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A (28)
B (30)
C (32)
D (34)
Explanation opens after your attempt
Step 1
Concept
Using \(S_{20}=1740\) and (d=6) gives (a=30). Exam tip: find the first term from total and difference.
Step 2
Why this answer is correct
The correct answer is B. (30). Using \(S_{20}=1740\) and (d=6) gives (a=30). Exam tip: find the first term from total and difference.
Step 3
Exam Tip
\(S_{20}=1740\) और (d=6) रखने पर (a=30) मिलता है। परीक्षा में कुल और अंतर से प्रथम पद निकालें।
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एक दुकान पहले दिन (300) पैकेट बेचती है और हर अगले दिन (16) पैकेट कम बेचती है। (13) दिनों में कुल कितने पैकेट बिकेंगे?
A shop sells (300) packets on the first day and (16) fewer packets each next day. How many packets are sold in (13) days?
#ap
#word-problem
#sales
#decrease
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A (2552)
B (2602)
C (2652)
D (2702)
Explanation opens after your attempt
Step 1
Concept
The sales form the decreasing AP \(300,284,268,\ldots\) and \(S_{13}=2652\). Exam tip: keep (d) negative for decreasing sales.
Step 2
Why this answer is correct
The correct answer is C. (2652). The sales form the decreasing AP \(300,284,268,\ldots\) and \(S_{13}=2652\). Exam tip: keep (d) negative for decreasing sales.
Step 3
Exam Tip
बिक्री \(300,284,268,\ldots\) घटती समान्तर श्रेणी है और \(S_{13}=2652\)। परीक्षा में कम होती बिक्री में (d) ऋणात्मक रखें।
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एक विद्यार्थी पहले महीने (55) पेज पढ़ता है और हर अगले महीने (25) पेज अधिक पढ़ता है। किस महीने वह (355) पेज पढ़ेगा?
A student reads (55) pages in the first month and (25) pages more each next month. In which month will the student read (355) pages?
#ap
#word-problem
#reading
#target-month
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A (11)
B (12)
C (13)
D (14)
Explanation opens after your attempt
Step 1
Concept
From (55+(n-1)25=355), (n=13). Exam tip: set the target amount equal to \(a_n\).
Step 2
Why this answer is correct
The correct answer is C. (13). From (55+(n-1)25=355), (n=13). Exam tip: set the target amount equal to \(a_n\).
Step 3
Exam Tip
(55+(n-1)25=355) से (n=13) मिलता है। परीक्षा में लक्ष्य मात्रा को \(a_n\) के बराबर रखें।
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एक सड़क पर खंभों के बीच पहली दूरी (32) मीटर है और हर अगली दूरी (8) मीटर बढ़ती है। पहले (17) अंतरों की कुल दूरी कितनी होगी?
On a road the first gap between poles is (32) metres and each next gap increases by (8) metres. What is the total distance of the first (17) gaps?
#ap
#word-problem
#pole-distance
#total
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A (1572)
B (1612)
C (1632)
D (1672)
Explanation opens after your attempt
Step 1
Concept
The distances are \(32,40,48,\ldots\) and \(S_{17}=1632\). Exam tip: take the number of gaps as the number of terms.
Step 2
Why this answer is correct
The correct answer is C. (1632). The distances are \(32,40,48,\ldots\) and \(S_{17}=1632\). Exam tip: take the number of gaps as the number of terms.
Step 3
Exam Tip
दूरियां \(32,40,48,\ldots\) हैं और \(S_{17}=1632\)। परीक्षा में अंतरालों की संख्या को पदों की संख्या मानें।
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एक जिम में पहले महीने (42) सदस्य जुड़े और हर अगले महीने (9) सदस्य अधिक जुड़े। (14) महीनों में कुल कितने सदस्य जुड़े?
In a gym (42) members joined in the first month and (9) more members joined each next month. How many members joined in (14) months?
#ap
#word-problem
#gym
#members
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A (1365)
B (1386)
C (1407)
D (1428)
Explanation opens after your attempt
Step 1
Concept
The member numbers are \(42,51,60,\ldots\) and \(S_{14}=1407\). Exam tip: treat monthly new members as AP terms.
Step 2
Why this answer is correct
The correct answer is C. (1407). The member numbers are \(42,51,60,\ldots\) and \(S_{14}=1407\). Exam tip: treat monthly new members as AP terms.
Step 3
Exam Tip
सदस्यों की संख्या \(42,51,60,\ldots\) है और \(S_{14}=1407\)। परीक्षा में नए सदस्यों की मासिक संख्या को ए.पी. मानें।
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एक बस पहले स्टॉप पर (15) यात्रियों को लेती है और हर अगले स्टॉप पर (8) यात्री अधिक चढ़ते हैं। (18) स्टॉप तक कुल कितने यात्री चढ़ेंगे?
A bus takes (15) passengers at the first stop and (8) more passengers board at each next stop. How many passengers board by (18) stops?
#ap
#word-problem
#bus
#total
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A (1494)
B (1530)
C (1566)
D (1602)
Explanation opens after your attempt
Step 1
Concept
The passenger numbers are \(15,23,31,\ldots\) and \(S_{18}=1494\). Exam tip: take the number of stops as the number of terms.
Step 2
Why this answer is correct
The correct answer is A. (1494). The passenger numbers are \(15,23,31,\ldots\) and \(S_{18}=1494\). Exam tip: take the number of stops as the number of terms.
Step 3
Exam Tip
यात्रियों की संख्या \(15,23,31,\ldots\) है और \(S_{18}=1494\)। परीक्षा में स्टॉपों की संख्या को पदों की संख्या मानें।
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एक कंपनी का लाभ पहले वर्ष (90000) रुपये है और हर वर्ष (12000) रुपये बढ़ता है। पहले (8) वर्षों का कुल लाभ कितना होगा?
A company's profit is (90000) rupees in the first year and increases by (12000) rupees every year. What is the total profit for the first (8) years?
#ap
#word-problem
#profit
#total
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A (984000)
B (1008000)
C (1032000)
D (1056000)
Explanation opens after your attempt
Correct Answer
D. (1056000)
Step 1
Concept
The profits form the AP \(90000,102000,114000,\ldots\) and \(S_8=1056000\). Exam tip: treat yearly profits as separate terms.
Step 2
Why this answer is correct
The correct answer is D. (1056000). The profits form the AP \(90000,102000,114000,\ldots\) and \(S_8=1056000\). Exam tip: treat yearly profits as separate terms.
Step 3
Exam Tip
लाभ \(90000,102000,114000,\ldots\) समान्तर श्रेणी है और \(S_8=1056000\)। परीक्षा में वार्षिक लाभ को अलग-अलग पद मानें।
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एक टाइल पैटर्न में पहली आकृति में (18) टाइलें हैं और हर अगली आकृति में (9) टाइलें अधिक हैं। पहली (16) आकृतियों में कुल कितनी टाइलें लगेंगी?
In a tile pattern the first figure has (18) tiles and each next figure has (9) more tiles. How many tiles are used in the first (16) figures?
#ap
#word-problem
#tile-pattern
#total
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A (1296)
B (1332)
C (1368)
D (1404)
Explanation opens after your attempt
Step 1
Concept
The tile numbers are \(18,27,36,\ldots\) and \(S_{16}=1368\). Exam tip: find the total of a pattern using the sum formula.
Step 2
Why this answer is correct
The correct answer is C. (1368). The tile numbers are \(18,27,36,\ldots\) and \(S_{16}=1368\). Exam tip: find the total of a pattern using the sum formula.
Step 3
Exam Tip
टाइलों की संख्या \(18,27,36,\ldots\) है और \(S_{16}=1368\)। परीक्षा में पैटर्न के कुल को योग सूत्र से निकालें।
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एक सब्जी विक्रेता पहले दिन (180) किलोग्राम सब्जी बेचता है और हर अगले दिन (25) किलोग्राम अधिक बेचता है। (11) दिनों में कुल कितनी सब्जी बिकेगी?
A vegetable seller sells (180) kg vegetables on the first day and (25) kg more each next day. How many kg vegetables are sold in (11) days?
#ap
#word-problem
#vegetable
#total
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A (3275)
B (3315)
C (3355)
D (3395)
Explanation opens after your attempt
Step 1
Concept
The sales form the AP \(180,205,230,\ldots\) and \(S_{11}=3355\). Exam tip: treat daily sales as AP terms.
Step 2
Why this answer is correct
The correct answer is C. (3355). The sales form the AP \(180,205,230,\ldots\) and \(S_{11}=3355\). Exam tip: treat daily sales as AP terms.
Step 3
Exam Tip
बिक्री \(180,205,230,\ldots\) समान्तर श्रेणी है और \(S_{11}=3355\)। परीक्षा में दैनिक बिक्री को ए.पी. के पद मानें।
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एक बचत योजना में पहले महीने (200) रुपये जमा होते हैं और (18) महीनों की कुल बचत (15075) रुपये है। यदि हर महीने बचत समान रूप से बढ़ती है तो मासिक वृद्धि कितनी है?
In a saving plan (200) rupees are deposited in the first month and the total saving in (18) months is (15075) rupees. If the saving increases equally every month, what is the monthly increase?
#ap
#word-problem
#saving
#difference
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A (65)
B (70)
C (75)
D (80)
Explanation opens after your attempt
Step 1
Concept
Using \(S_{18}=15075\) and (a=200) gives (d=75). Exam tip: find the common difference from total and first term.
Step 2
Why this answer is correct
The correct answer is C. (75). Using \(S_{18}=15075\) and (a=200) gives (d=75). Exam tip: find the common difference from total and first term.
Step 3
Exam Tip
\(S_{18}=15075\) और (a=200) रखने पर (d=75) मिलता है। परीक्षा में कुल और प्रथम पद से सार्व अंतर निकालें।
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एक टंकी में पहले मिनट (44) लीटर पानी भरा और हर अगले मिनट (13) लीटर अधिक भरा गया। किस मिनट में (239) लीटर पानी भरेगा?
In a tank (44) litres of water are filled in the first minute and (13) litres more in each next minute. In which minute will (239) litres be filled?
#ap
#word-problem
#water
#target-minute
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A (14)
B (15)
C (16)
D (17)
Explanation opens after your attempt
Step 1
Concept
From (44+(n-1)13=239), (n=16). Exam tip: set the target amount equal to \(a_n\).
Step 2
Why this answer is correct
The correct answer is C. (16). From (44+(n-1)13=239), (n=16). Exam tip: set the target amount equal to \(a_n\).
Step 3
Exam Tip
(44+(n-1)13=239) से (n=16) मिलता है। परीक्षा में लक्ष्य मात्रा को \(a_n\) के बराबर रखें।
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एक अस्पताल में पहले दिन (55) मरीज आए और हर अगले दिन (9) मरीज अधिक आए। (20) दिनों में कुल कितने मरीज आएंगे?
In a hospital (55) patients come on the first day and (9) more patients come each next day. How many patients come in (20) days?
#ap
#word-problem
#hospital
#total
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A (2730)
B (2770)
C (2810)
D (2850)
Explanation opens after your attempt
Step 1
Concept
The patient numbers are \(55,64,73,\ldots\) and \(S_{20}=2810\). Exam tip: use the sum formula for total patients.
Step 2
Why this answer is correct
The correct answer is C. (2810). The patient numbers are \(55,64,73,\ldots\) and \(S_{20}=2810\). Exam tip: use the sum formula for total patients.
Step 3
Exam Tip
मरीजों की संख्या \(55,64,73,\ldots\) है और \(S_{20}=2810\)। परीक्षा में कुल मरीजों के लिए योग सूत्र लगाएं।
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एक गोदाम में पहली कतार में (72) बोरे रखे हैं और हर अगली कतार में (12) बोरे अधिक हैं। (15) कतारों में कुल कितने बोरे होंगे?
In a warehouse (72) sacks are placed in the first row and (12) more sacks in each next row. How many sacks are there in (15) rows?
#ap
#word-problem
#warehouse
#sacks
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A (2260)
B (2300)
C (2340)
D (2380)
Explanation opens after your attempt
Step 1
Concept
The sack numbers are \(72,84,96,\ldots\) and \(S_{15}=2340\). Exam tip: treat each row as one term of the AP.
Step 2
Why this answer is correct
The correct answer is C. (2340). The sack numbers are \(72,84,96,\ldots\) and \(S_{15}=2340\). Exam tip: treat each row as one term of the AP.
Step 3
Exam Tip
बोरों की संख्या \(72,84,96,\ldots\) है और \(S_{15}=2340\)। परीक्षा में प्रत्येक कतार को समान्तर श्रेणी का एक पद मानें।
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एक ऑनलाइन कोर्स में पहले सप्ताह (10) वीडियो अपलोड हुए और हर अगले सप्ताह (6) वीडियो अधिक अपलोड हुए। (24) सप्ताहों में कुल कितने वीडियो अपलोड होंगे?
In an online course (10) videos are uploaded in the first week and (6) more videos each next week. How many videos are uploaded in (24) weeks?
#ap
#word-problem
#online-course
#total
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A (1848)
B (1872)
C (1896)
D (1920)
Explanation opens after your attempt
Step 1
Concept
The video numbers are \(10,16,22,\ldots\) and \(S_{24}=1896\). Exam tip: take the number of weeks as the number of terms.
Step 2
Why this answer is correct
The correct answer is C. (1896). The video numbers are \(10,16,22,\ldots\) and \(S_{24}=1896\). Exam tip: take the number of weeks as the number of terms.
Step 3
Exam Tip
वीडियो संख्या \(10,16,22,\ldots\) है और \(S_{24}=1896\)। परीक्षा में सप्ताहों की संख्या को पदों की संख्या मानें।
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एक स्वच्छता अभियान में पहले दिन (12) गलियां साफ हुईं और हर अगले दिन (5) गलियां अधिक साफ हुईं। (21) दिनों में कुल कितनी गलियां साफ होंगी?
In a cleanliness campaign (12) lanes are cleaned on the first day and (5) more lanes are cleaned each next day. How many lanes are cleaned in (21) days?
#ap
#word-problem
#cleanliness
#total
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A (1260)
B (1281)
C (1302)
D (1323)
Explanation opens after your attempt
Step 1
Concept
The lane numbers are \(12,17,22,\ldots\) and \(S_{21}=1302\). Exam tip: treat a sequence with equal increase as an AP.
Step 2
Why this answer is correct
The correct answer is C. (1302). The lane numbers are \(12,17,22,\ldots\) and \(S_{21}=1302\). Exam tip: treat a sequence with equal increase as an AP.
Step 3
Exam Tip
गलियों की संख्या \(12,17,22,\ldots\) है और \(S_{21}=1302\)। परीक्षा में समान वृद्धि वाली श्रेणी को ए.पी. मानें।
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एक कला कक्षा में पहले दिन (25) चित्र बनाए गए और हर अगले दिन (12) चित्र अधिक बनाए गए। (18)वें दिन कितने चित्र बनेंगे?
In an art class (25) drawings are made on the first day and (12) more drawings each next day. How many drawings are made on the (18)th day?
#ap
#word-problem
#art
#nth-day
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A (217)
B (221)
C (229)
D (235)
Explanation opens after your attempt
Step 1
Concept
The number of drawings is \(25,37,49,\ldots\) and \(a_{18}=229\). Exam tip: work done on the (n)th day is the (n)th term.
Step 2
Why this answer is correct
The correct answer is C. (229). The number of drawings is \(25,37,49,\ldots\) and \(a_{18}=229\). Exam tip: work done on the (n)th day is the (n)th term.
Step 3
Exam Tip
चित्रों की संख्या \(25,37,49,\ldots\) है और \(a_{18}=229\)। परीक्षा में (n)वें दिन का काम (n)वें पद से मिलता है।
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एक परीक्षा में पहले प्रश्न के (6) अंक हैं और हर अगले प्रश्न के (7) अंक अधिक हैं। पहले (16) प्रश्नों के कुल अंक कितने होंगे?
In an exam the first question carries (6) marks and each next question carries (7) more marks. What are the total marks of the first (16) questions?
#ap
#word-problem
#exam
#marks
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A (900)
B (918)
C (936)
D (954)
Explanation opens after your attempt
Step 1
Concept
The marks form the AP \(6,13,20,\ldots\) and \(S_{16}=936\). Exam tip: take the number of questions as (n) and find the sum.
Step 2
Why this answer is correct
The correct answer is C. (936). The marks form the AP \(6,13,20,\ldots\) and \(S_{16}=936\). Exam tip: take the number of questions as (n) and find the sum.
Step 3
Exam Tip
अंकों की श्रेणी \(6,13,20,\ldots\) है और \(S_{16}=936\)। परीक्षा में प्रश्नों की संख्या को (n) मानकर योग निकालें।
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एक त्योहार सजावट में पहले गेट पर (80) लाइटें हैं और हर अगले गेट पर (20) लाइटें अधिक हैं। (9) गेटों पर कुल कितनी लाइटें होंगी?
In a festival decoration the first gate has (80) lights and each next gate has (20) more lights. How many lights are there on (9) gates?
#ap
#word-problem
#decoration
#lights
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A (1380)
B (1420)
C (1440)
D (1480)
Explanation opens after your attempt
Step 1
Concept
The light numbers are \(80,100,120,\ldots\) and \(S_9=1440\). Exam tip: treat each gate as one term.
Step 2
Why this answer is correct
The correct answer is C. (1440). The light numbers are \(80,100,120,\ldots\) and \(S_9=1440\). Exam tip: treat each gate as one term.
Step 3
Exam Tip
लाइटों की संख्या \(80,100,120,\ldots\) है और \(S_9=1440\)। परीक्षा में प्रत्येक गेट को एक पद मानें।
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एक स्कूल प्रयोगशाला में पहले दिन (30) उपकरण लगाए गए और हर अगले दिन (12) उपकरण अधिक लगाए गए। कुल (1512) उपकरण लगाने में कितने दिन लगेंगे?
In a school laboratory (30) instruments are installed on the first day and (12) more instruments each next day. How many days are needed to install (1512) instruments?
#ap
#word-problem
#laboratory
#target
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A (12)
B (13)
C (14)
D (15)
Explanation opens after your attempt
Step 1
Concept
The instrument numbers are \(30,42,54,\ldots\) and \(S_n=1512\) gives (n=14). Exam tip: when a total target is given, find the number of terms.
Step 2
Why this answer is correct
The correct answer is C. (14). The instrument numbers are \(30,42,54,\ldots\) and \(S_n=1512\) gives (n=14). Exam tip: when a total target is given, find the number of terms.
Step 3
Exam Tip
उपकरणों की संख्या \(30,42,54,\ldots\) है और \(S_n=1512\) से (n=14)। परीक्षा में कुल लक्ष्य दिया हो तो पदों की संख्या निकालें।
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एक साइकिल चालक पहले घंटे (26) किलोमीटर चलता है और हर अगले घंटे (9) किलोमीटर अधिक चलता है। (18) घंटों में कुल दूरी कितनी होगी?
A cyclist covers (26) km in the first hour and (9) km more each next hour. What is the total distance in (18) hours?
#ap
#word-problem
#cycling
#total
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A (1785)
B (1809)
C (1845)
D (1869)
Explanation opens after your attempt
Step 1
Concept
The distances form the AP \(26,35,44,\ldots\) and \(S_{18}=1845\). Exam tip: treat each hour's distance as a term.
Step 2
Why this answer is correct
The correct answer is C. (1845). The distances form the AP \(26,35,44,\ldots\) and \(S_{18}=1845\). Exam tip: treat each hour's distance as a term.
Step 3
Exam Tip
दूरी \(26,35,44,\ldots\) समान्तर श्रेणी है और \(S_{18}=1845\)। परीक्षा में प्रति घंटे दूरी को पद मानें।
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एक किसान पहले सप्ताह (110) किलोग्राम अनाज बेचता है और हर अगले सप्ताह (22) किलोग्राम अधिक बेचता है। (13) सप्ताहों में कुल कितना अनाज बेचेगा?
A farmer sells (110) kg grain in the first week and (22) kg more each next week. How much grain will be sold in (13) weeks?
#ap
#word-problem
#grain
#total
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A (3016)
B (3076)
C (3146)
D (3206)
Explanation opens after your attempt
Step 1
Concept
The weekly sales are \(110,132,154,\ldots\) and \(S_{13}=3146\). Exam tip: use the sum formula to add sales across weeks.
Step 2
Why this answer is correct
The correct answer is C. (3146). The weekly sales are \(110,132,154,\ldots\) and \(S_{13}=3146\). Exam tip: use the sum formula to add sales across weeks.
Step 3
Exam Tip
साप्ताहिक बिक्री \(110,132,154,\ldots\) है और \(S_{13}=3146\)। परीक्षा में सभी सप्ताहों की बिक्री जोड़ने के लिए योग सूत्र लगाएं।
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एक ऐप की आय पहले दिन (900) रुपये है और हर अगले दिन (175) रुपये बढ़ती है। (9) दिनों की कुल आय कितनी होगी?
An app earns (900) rupees on the first day and the income increases by (175) rupees each next day. What is the total income in (9) days?
#ap
#word-problem
#income
#total
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A (13800)
B (14100)
C (14400)
D (14700)
Explanation opens after your attempt
Correct Answer
C. (14400)
Step 1
Concept
The income is \(900,1075,1250,\ldots\) and \(S_9=14400\). Exam tip: add daily income as AP terms.
Step 2
Why this answer is correct
The correct answer is C. (14400). The income is \(900,1075,1250,\ldots\) and \(S_9=14400\). Exam tip: add daily income as AP terms.
Step 3
Exam Tip
आय \(900,1075,1250,\ldots\) है और \(S_9=14400\)। परीक्षा में दैनिक आय को ए.पी. के पदों की तरह जोड़ें।
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एक इमारत में पहले तल पर (220) खिड़कियां हैं और हर अगले तल पर (20) खिड़कियां कम हैं। किस तल पर (40) खिड़कियां होंगी?
In a building the first floor has (220) windows and each next floor has (20) fewer windows. Which floor will have (40) windows?
#ap
#word-problem
#building
#decrease
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A (8)
B (9)
C (10)
D (11)
Explanation opens after your attempt
Step 1
Concept
From (220+(n-1)(-20)=40), (n=10). Exam tip: write (d) as negative in a decreasing sequence.
Step 2
Why this answer is correct
The correct answer is C. (10). From (220+(n-1)(-20)=40), (n=10). Exam tip: write (d) as negative in a decreasing sequence.
Step 3
Exam Tip
(220+(n-1)(-20)=40) से (n=10) मिलता है। परीक्षा में घटती श्रेणी में (d) को ऋणात्मक लिखें।
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एक प्रिंटर पहले घंटे (45) पेज छापता है और हर अगले घंटे (9) पेज अधिक छापता है। (17) घंटों में कुल कितने पेज छपेंगे?
A printer prints (45) pages in the first hour and (9) more pages each next hour. How many pages are printed in (17) hours?
#ap
#word-problem
#printing
#total
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A (1909)
B (1959)
C (1989)
D (2019)
Explanation opens after your attempt
Step 1
Concept
The page numbers are \(45,54,63,\ldots\) and \(S_{17}=1989\). Exam tip: use the sum formula for total printing.
Step 2
Why this answer is correct
The correct answer is C. (1989). The page numbers are \(45,54,63,\ldots\) and \(S_{17}=1989\). Exam tip: use the sum formula for total printing.
Step 3
Exam Tip
पेजों की संख्या \(45,54,63,\ldots\) है और \(S_{17}=1989\)। परीक्षा में कुल छपाई के लिए योग सूत्र लगाएं।
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एक कपड़ा दुकान पहले दिन (140) मीटर कपड़ा बेचती है और हर अगले दिन (30) मीटर अधिक बेचती है। (10) दिनों में कुल कितने मीटर कपड़ा बिकेगा?
A cloth shop sells (140) metres of cloth on the first day and (30) metres more each next day. How many metres of cloth are sold in (10) days?
#ap
#word-problem
#cloth
#total
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A (2650)
B (2700)
C (2750)
D (2800)
Explanation opens after your attempt
Step 1
Concept
The cloth sales form \(140,170,200,\ldots\) and \(S_{10}=2750\). Exam tip: use the sum formula for sales across all days.
Step 2
Why this answer is correct
The correct answer is C. (2750). The cloth sales form \(140,170,200,\ldots\) and \(S_{10}=2750\). Exam tip: use the sum formula for sales across all days.
Step 3
Exam Tip
कपड़े की बिक्री \(140,170,200,\ldots\) है और \(S_{10}=2750\)। परीक्षा में सभी दिनों की बिक्री के लिए योग सूत्र लगाएं।
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एक खेल क्लब में पहले दिन (27) सदस्य जुड़े और हर अगले दिन (10) सदस्य अधिक जुड़े। (22) दिनों में कुल कितने सदस्य जुड़ेंगे?
In a sports club (27) members join on the first day and (10) more members join each next day. How many members join in (22) days?
#ap
#word-problem
#club
#total
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A (2844)
B (2874)
C (2904)
D (2934)
Explanation opens after your attempt
Step 1
Concept
The member numbers are \(27,37,47,\ldots\) and \(S_{22}=2904\). Exam tip: add all days for total members.
Step 2
Why this answer is correct
The correct answer is C. (2904). The member numbers are \(27,37,47,\ldots\) and \(S_{22}=2904\). Exam tip: add all days for total members.
Step 3
Exam Tip
सदस्यों की संख्या \(27,37,47,\ldots\) है और \(S_{22}=2904\)। परीक्षा में कुल सदस्य के लिए सभी दिनों का योग लें।
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एक हॉल में पहली पंक्ति में (32) सीटें हैं और हर अगली पंक्ति में समान वृद्धि है। (19) पंक्तियों में कुल (1805) सीटें हैं तो वृद्धि कितनी है?
In a hall the first row has (32) seats and each next row has an equal increase. If (19) rows have (1805) seats in total, what is the increase?
#ap
#word-problem
#hall
#difference
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A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
Using \(S_{19}=1805\) and (a=32) gives (d=7). Exam tip: find the common difference from total and first term.
Step 2
Why this answer is correct
The correct answer is C. (7). Using \(S_{19}=1805\) and (a=32) gives (d=7). Exam tip: find the common difference from total and first term.
Step 3
Exam Tip
\(S_{19}=1805\) और (a=32) रखने पर (d=7) मिलता है। परीक्षा में कुल और प्रथम पद से सार्व अंतर निकालें।
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एक कैटरिंग सेवा पहली मेज पर (24) प्लेट रखती है और हर अगली मेज पर (8) प्लेट अधिक रखती है। (16) मेजों पर कुल कितनी प्लेटें होंगी?
A catering service places (24) plates on the first table and (8) more plates on each next table. How many plates are placed on (16) tables?
#ap
#word-problem
#catering
#total
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A (1304)
B (1324)
C (1344)
D (1364)
Explanation opens after your attempt
Step 1
Concept
The plate numbers are \(24,32,40,\ldots\) and \(S_{16}=1344\). Exam tip: treat each table as one term of the AP.
Step 2
Why this answer is correct
The correct answer is C. (1344). The plate numbers are \(24,32,40,\ldots\) and \(S_{16}=1344\). Exam tip: treat each table as one term of the AP.
Step 3
Exam Tip
प्लेटों की संख्या \(24,32,40,\ldots\) है और \(S_{16}=1344\)। परीक्षा में प्रत्येक मेज को समान्तर श्रेणी का एक पद मानें।
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एक दवा की खुराक पहले दिन (12) मिलीग्राम है और हर अगले दिन (5) मिलीग्राम बढ़ती है। पहले (20) दिनों की कुल खुराक कितनी होगी?
A medicine dose is (12) mg on the first day and increases by (5) mg each next day. What is the total dose over the first (20) days?
#ap
#word-problem
#dose
#total
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A (1130)
B (1160)
C (1190)
D (1220)
Explanation opens after your attempt
Step 1
Concept
The doses form the AP \(12,17,22,\ldots\) and \(S_{20}=1190\). Exam tip: add the terms for the total dose.
Step 2
Why this answer is correct
The correct answer is C. (1190). The doses form the AP \(12,17,22,\ldots\) and \(S_{20}=1190\). Exam tip: add the terms for the total dose.
Step 3
Exam Tip
खुराक \(12,17,22,\ldots\) समान्तर श्रेणी है और \(S_{20}=1190\)। परीक्षा में कुल खुराक के लिए पदों का योग लें।
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एक पंप पहले घंटे (150) लीटर पानी भरता है और हर अगले घंटे (40) लीटर अधिक भरता है। (9) घंटों में कुल कितना पानी भरेगा?
A pump fills (150) litres of water in the first hour and (40) litres more each next hour. How much water will it fill in (9) hours?
#ap
#word-problem
#pump
#total
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A (2670)
B (2730)
C (2790)
D (2850)
Explanation opens after your attempt
Step 1
Concept
The water amounts are \(150,190,230,\ldots\) and \(S_9=2790\). Exam tip: treat hourly filled water as AP terms.
Step 2
Why this answer is correct
The correct answer is C. (2790). The water amounts are \(150,190,230,\ldots\) and \(S_9=2790\). Exam tip: treat hourly filled water as AP terms.
Step 3
Exam Tip
पानी की मात्रा \(150,190,230,\ldots\) है और \(S_9=2790\)। परीक्षा में प्रति घंटे भरे पानी को ए.पी. के पद मानें।
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एक अखबार विक्रेता पहले दिन (140) अखबार बेचता है और हर अगले दिन (25) अखबार अधिक बेचता है। किस दिन (515) अखबार बिकेंगे?
A newspaper seller sells (140) newspapers on the first day and (25) more newspapers each next day. On which day will (515) newspapers be sold?
#ap
#word-problem
#newspaper
#target-day
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A (14)
B (15)
C (16)
D (17)
Explanation opens after your attempt
Step 1
Concept
From (140+(n-1)25=515), (n=16). Exam tip: set the target number equal to \(a_n\).
Step 2
Why this answer is correct
The correct answer is C. (16). From (140+(n-1)25=515), (n=16). Exam tip: set the target number equal to \(a_n\).
Step 3
Exam Tip
(140+(n-1)25=515) से (n=16) मिलता है। परीक्षा में लक्ष्य संख्या को \(a_n\) के बराबर रखें।
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