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80 results found for "first-day" in Class 10.

Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक अखबार विक्रेता पहले दिन (160) अखबार बेचता है और हर अगले दिन (30) अखबार अधिक बेचता है। किस दिन (610) अखबार बिकेंगे?

A newspaper seller sells (160) newspapers on the first day and (30) more newspapers each next day. On which day will (610) newspapers be sold?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

From (160+(n-1)30=610), (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 (160+(n-1)30=610), (n=16). Exam tip: set the target number equal to \(a_n\).

Step 3

Exam Tip

(160+(n-1)30=610) से (n=16) मिलता है। परीक्षा में लक्ष्य संख्या को \(a_n\) के बराबर रखें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक दवा की खुराक पहले दिन (15) मिलीग्राम है और हर अगले दिन (6) मिलीग्राम बढ़ती है। पहले (22) दिनों की कुल खुराक कितनी होगी?

A medicine dose is (15) mg on the first day and increases by (6) mg each next day. What is the total dose over the first (22) days?

Explanation opens after your attempt
Correct Answer

B. (1716)

Step 1

Concept

The doses form the AP \(15,21,27,\ldots\) and \(S_{22}=1716\). Exam tip: add the terms for the total dose.

Step 2

Why this answer is correct

The correct answer is B. (1716). The doses form the AP \(15,21,27,\ldots\) and \(S_{22}=1716\). Exam tip: add the terms for the total dose.

Step 3

Exam Tip

खुराक \(15,21,27,\ldots\) समान्तर श्रेणी है और \(S_{22}=1716\)। परीक्षा में कुल खुराक के लिए पदों का योग लें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक खेल क्लब में पहले दिन (36) सदस्य जुड़े और हर अगले दिन (12) सदस्य अधिक जुड़े। (19) दिनों में कुल कितने सदस्य जुड़ेंगे?

In a sports club (36) members join on the first day and (12) more members join each next day. How many members join in (19) days?

Explanation opens after your attempt
Correct Answer

B. (2736)

Step 1

Concept

The member numbers are \(36,48,60,\ldots\) and \(S_{19}=2736\). Exam tip: add all days for total members.

Step 2

Why this answer is correct

The correct answer is B. (2736). The member numbers are \(36,48,60,\ldots\) and \(S_{19}=2736\). Exam tip: add all days for total members.

Step 3

Exam Tip

सदस्यों की संख्या \(36,48,60,\ldots\) है और \(S_{19}=2736\)। परीक्षा में कुल सदस्य के लिए सभी दिनों का योग लें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक कपड़ा दुकान पहले दिन (160) मीटर कपड़ा बेचती है और हर अगले दिन (35) मीटर अधिक बेचती है। (11) दिनों में कुल कितने मीटर कपड़ा बिकेगा?

A cloth shop sells (160) metres of cloth on the first day and (35) metres more each next day. How many metres of cloth are sold in (11) days?

Explanation opens after your attempt
Correct Answer

C. (3685)

Step 1

Concept

The cloth sales form \(160,195,230,\ldots\) and \(S_{11}=3685\). Exam tip: use the sum formula for sales across all days.

Step 2

Why this answer is correct

The correct answer is C. (3685). The cloth sales form \(160,195,230,\ldots\) and \(S_{11}=3685\). Exam tip: use the sum formula for sales across all days.

Step 3

Exam Tip

कपड़े की बिक्री \(160,195,230,\ldots\) है और \(S_{11}=3685\)। परीक्षा में सभी दिनों की बिक्री के लिए योग सूत्र लगाएं।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक ऐप की आय पहले दिन (1200) रुपये है और हर अगले दिन (250) रुपये बढ़ती है। (10) दिनों की कुल आय कितनी होगी?

An app earns (1200) rupees on the first day and the income increases by (250) rupees each next day. What is the total income in (10) days?

Explanation opens after your attempt
Correct Answer

B. (23250)

Step 1

Concept

The income is \(1200,1450,1700,\ldots\) and \(S_{10}=23250\). Exam tip: add daily income as AP terms.

Step 2

Why this answer is correct

The correct answer is B. (23250). The income is \(1200,1450,1700,\ldots\) and \(S_{10}=23250\). Exam tip: add daily income as AP terms.

Step 3

Exam Tip

आय \(1200,1450,1700,\ldots\) है और \(S_{10}=23250\)। परीक्षा में दैनिक आय को ए.पी. के पदों की तरह जोड़ें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक स्कूल प्रयोगशाला में पहले दिन (42) उपकरण लगाए गए और हर अगले दिन (14) उपकरण अधिक लगाए गए। कुल (2520) उपकरण लगाने में कितने दिन लगेंगे?

In a school laboratory (42) instruments are installed on the first day and (14) more instruments each next day. How many days are needed to install (2520) instruments?

Explanation opens after your attempt
Correct Answer

B. (15)

Step 1

Concept

The instrument numbers are \(42,56,70,\ldots\) and \(S_n=2520\) gives (n=15). Exam tip: when a total target is given, find the number of terms.

Step 2

Why this answer is correct

The correct answer is B. (15). The instrument numbers are \(42,56,70,\ldots\) and \(S_n=2520\) gives (n=15). Exam tip: when a total target is given, find the number of terms.

Step 3

Exam Tip

उपकरणों की संख्या \(42,56,70,\ldots\) है और \(S_n=2520\) से (n=15)। परीक्षा में कुल लक्ष्य दिया हो तो पदों की संख्या निकालें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक कला कार्यशाला में पहले दिन (36) चित्र बनाए गए और हर अगले दिन (14) चित्र अधिक बनाए गए। (16)वें दिन कितने चित्र बनेंगे?

In an art workshop (36) drawings are made on the first day and (14) more drawings each next day. How many drawings are made on the (16)th day?

Explanation opens after your attempt
Correct Answer

C. (246)

Step 1

Concept

The number of drawings is \(36,50,64,\ldots\) and \(a_{16}=246\). 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. (246). The number of drawings is \(36,50,64,\ldots\) and \(a_{16}=246\). Exam tip: work done on the (n)th day is the (n)th term.

Step 3

Exam Tip

चित्रों की संख्या \(36,50,64,\ldots\) है और \(a_{16}=246\)। परीक्षा में (n)वें दिन का काम (n)वें पद से मिलता है।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक स्वच्छता अभियान में पहले दिन (18) गलियां साफ हुईं और हर अगले दिन (6) गलियां अधिक साफ हुईं। (20) दिनों में कुल कितनी गलियां साफ होंगी?

In a cleanliness campaign (18) lanes are cleaned on the first day and (6) more lanes are cleaned each next day. How many lanes are cleaned in (20) days?

Explanation opens after your attempt
Correct Answer

B. (1500)

Step 1

Concept

The lane numbers are \(18,24,30,\ldots\) and \(S_{20}=1500\). Exam tip: treat a sequence with equal increase as an AP.

Step 2

Why this answer is correct

The correct answer is B. (1500). The lane numbers are \(18,24,30,\ldots\) and \(S_{20}=1500\). Exam tip: treat a sequence with equal increase as an AP.

Step 3

Exam Tip

गलियों की संख्या \(18,24,30,\ldots\) है और \(S_{20}=1500\)। परीक्षा में समान वृद्धि वाली श्रेणी को ए.पी. मानें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक अस्पताल में पहले दिन (70) मरीज आए और हर अगले दिन (12) मरीज अधिक आए। (18) दिनों में कुल कितने मरीज आएंगे?

In a hospital (70) patients come on the first day and (12) more patients come each next day. How many patients come in (18) days?

Explanation opens after your attempt
Correct Answer

C. (3096)

Step 1

Concept

The patient numbers are \(70,82,94,\ldots\) and \(S_{18}=3096\). Exam tip: use the sum formula for total patients.

Step 2

Why this answer is correct

The correct answer is C. (3096). The patient numbers are \(70,82,94,\ldots\) and \(S_{18}=3096\). Exam tip: use the sum formula for total patients.

Step 3

Exam Tip

मरीजों की संख्या \(70,82,94,\ldots\) है और \(S_{18}=3096\)। परीक्षा में कुल मरीजों के लिए योग सूत्र लगाएं।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक फल विक्रेता पहले दिन (210) किलोग्राम फल बेचता है और हर अगले दिन (30) किलोग्राम अधिक बेचता है। (12) दिनों में कुल कितने किलोग्राम फल बिकेंगे?

A fruit seller sells (210) kg fruit on the first day and (30) kg more each next day. How many kg fruit are sold in (12) days?

Explanation opens after your attempt
Correct Answer

C. (4500)

Step 1

Concept

The sales form the AP \(210,240,270,\ldots\) and \(S_{12}=4500\). Exam tip: treat daily sales as AP terms.

Step 2

Why this answer is correct

The correct answer is C. (4500). The sales form the AP \(210,240,270,\ldots\) and \(S_{12}=4500\). Exam tip: treat daily sales as AP terms.

Step 3

Exam Tip

बिक्री \(210,240,270,\ldots\) समान्तर श्रेणी है और \(S_{12}=4500\)। परीक्षा में दैनिक बिक्री को ए.पी. के पद मानें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक दुकान पहले दिन (360) पैकेट बेचती है और हर अगले दिन (18) पैकेट कम बेचती है। (15) दिनों में कुल कितने पैकेट बिकेंगे?

A shop sells (360) packets on the first day and (18) fewer packets each next day. How many packets are sold in (15) days?

Explanation opens after your attempt
Correct Answer

C. (3510)

Step 1

Concept

The sales form the decreasing AP \(360,342,324,\ldots\) and \(S_{15}=3510\). Exam tip: keep (d) negative for decreasing sales.

Step 2

Why this answer is correct

The correct answer is C. (3510). The sales form the decreasing AP \(360,342,324,\ldots\) and \(S_{15}=3510\). Exam tip: keep (d) negative for decreasing sales.

Step 3

Exam Tip

बिक्री \(360,342,324,\ldots\) घटती समान्तर श्रेणी है और \(S_{15}=3510\)। परीक्षा में कम होती बिक्री में (d) ऋणात्मक रखें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

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?

Explanation opens after your attempt
Correct Answer

B. (1365)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक प्रवेश अभियान में पहले दिन (72) नए दाखिले हुए और हर अगले दिन (18) दाखिले अधिक हुए। कुल (3780) दाखिले होने में कितने दिन लगेंगे?

In an admission campaign (72) new admissions happen on the first day and (18) more admissions happen each next day. How many days are needed for (3780) admissions?

Explanation opens after your attempt
Correct Answer

B. (15)

Step 1

Concept

The admissions are \(72,90,108,\ldots\) and \(S_n=3780\) gives (n=15). Exam tip: connect the target total with \(S_n\).

Step 2

Why this answer is correct

The correct answer is B. (15). The admissions are \(72,90,108,\ldots\) and \(S_n=3780\) gives (n=15). Exam tip: connect the target total with \(S_n\).

Step 3

Exam Tip

दाखिलों की संख्या \(72,90,108,\ldots\) है और \(S_n=3780\) से (n=15)। परीक्षा में कुल लक्ष्य को \(S_n\) से जोड़ें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक कुम्हार पहले दिन (32) घड़े बनाता है और हर अगले दिन (11) घड़े अधिक बनाता है। (19) दिनों में कुल कितने घड़े बनेंगे?

A potter makes (32) pots on the first day and (11) more pots each next day. How many pots are made in (19) days?

Explanation opens after your attempt
Correct Answer

A. (2470)

Step 1

Concept

The pot numbers are \(32,43,54,\ldots\) and \(S_{19}=2470\). Exam tip: use the sum formula for total production.

Step 2

Why this answer is correct

The correct answer is A. (2470). The pot numbers are \(32,43,54,\ldots\) and \(S_{19}=2470\). Exam tip: use the sum formula for total production.

Step 3

Exam Tip

घड़ों की संख्या \(32,43,54,\ldots\) है और \(S_{19}=2470\)। परीक्षा में कुल उत्पादन के लिए योग सूत्र लगाएं।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक जलाशय में पहले दिन (2400) लीटर पानी है और हर अगले दिन (90) लीटर पानी कम होता है। पहले (16) दिनों में देखी गई पानी की कुल मात्रा कितनी होगी?

A reservoir has (2400) litres of water on the first day and (90) litres less each next day. What is the total observed water amount over the first (16) days?

Explanation opens after your attempt
Correct Answer

C. (27600)

Step 1

Concept

The amounts form the decreasing AP \(2400,2310,2220,\ldots\) and \(S_{16}=27600\). Exam tip: the common difference is negative in a decreasing quantity.

Step 2

Why this answer is correct

The correct answer is C. (27600). The amounts form the decreasing AP \(2400,2310,2220,\ldots\) and \(S_{16}=27600\). Exam tip: the common difference is negative in a decreasing quantity.

Step 3

Exam Tip

मात्राएं \(2400,2310,2220,\ldots\) घटती समान्तर श्रेणी हैं और \(S_{16}=27600\)। परीक्षा में घटती मात्रा में सार्व अंतर ऋणात्मक होता है।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक राहत कोष में पहले दिन (350) रुपये जमा हुए और हर अगले दिन (150) रुपये अधिक जमा हुए। कुल (12600) रुपये जमा होने में कितने दिन लगेंगे?

In a relief fund (350) rupees are deposited on the first day and (150) rupees more each next day. How many days will it take to collect (12600) rupees?

Explanation opens after your attempt
Correct Answer

B. (12)

Step 1

Concept

The amounts are \(350,500,650,\ldots\) and \(S_n=12600\) gives (n=12). Exam tip: set the target total equal to \(S_n\).

Step 2

Why this answer is correct

The correct answer is B. (12). The amounts are \(350,500,650,\ldots\) and \(S_n=12600\) gives (n=12). Exam tip: set the target total equal to \(S_n\).

Step 3

Exam Tip

राशियां \(350,500,650,\ldots\) हैं और \(S_n=12600\) से (n=12)। परीक्षा में लक्ष्य कुल राशि को \(S_n\) के बराबर रखें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक निर्माण मजदूर पहले दिन (68) ईंटें लगाता है और हर अगले दिन (14) ईंटें अधिक लगाता है। (17) दिनों में कुल कितनी ईंटें लगेंगी?

A construction worker lays (68) bricks on the first day and (14) more bricks each next day. How many bricks will be laid in (17) days?

Explanation opens after your attempt
Correct Answer

B. (3060)

Step 1

Concept

The daily work forms the AP \(68,82,96,\ldots\) and \(S_{17}=3060\). Exam tip: treat the daily increase as the common difference.

Step 2

Why this answer is correct

The correct answer is B. (3060). The daily work forms the AP \(68,82,96,\ldots\) and \(S_{17}=3060\). Exam tip: treat the daily increase as the common difference.

Step 3

Exam Tip

दैनिक काम \(68,82,96,\ldots\) समान्तर श्रेणी है और \(S_{17}=3060\)। परीक्षा में दैनिक वृद्धि को सार्व अंतर मानें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक कारखाना पहले दिन (720) इकाइयां बनाता है और हर अगले दिन (24) इकाइयां कम बनाता है। पहले (16) दिनों में कुल उत्पादन कितना होगा?

A factory makes (720) units on the first day and (24) fewer units each next day. What is the total production in the first (16) days?

Explanation opens after your attempt
Correct Answer

D. (8640)

Step 1

Concept

The production is the decreasing AP \(720,696,672,\ldots\) and \(S_{16}=8640\). Exam tip: treat decrease as a negative common difference.

Step 2

Why this answer is correct

The correct answer is D. (8640). The production is the decreasing AP \(720,696,672,\ldots\) and \(S_{16}=8640\). Exam tip: treat decrease as a negative common difference.

Step 3

Exam Tip

उत्पादन \(720,696,672,\ldots\) घटती समान्तर श्रेणी है और \(S_{16}=8640\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (16)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (1190)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (2904)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (2750)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (14)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (229)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (1302)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (2810)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (3355)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (2652)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (871)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

D. (15)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (1809)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (11)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

C. (2760)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

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?

Explanation opens after your attempt
Correct Answer

D. (7434)

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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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक दान केंद्र में पहले दिन (300) भोजन पैकेट बांटे गए और हर अगले दिन (10) पैकेट कम बांटे गए। (18) दिनों में कुल कितने पैकेट बांटे जाएंगे?

At a donation centre (300) food packets are distributed on the first day and (10) fewer packets are distributed each next day. How many packets are distributed in (18) days?

Explanation opens after your attempt
Correct Answer

C. (3870)

Step 1

Concept

The packets form the decreasing AP \(300,290,280,\ldots\) and \(S_{18}=3870\). Exam tip: keep the common difference negative for decreasing quantities.

Step 2

Why this answer is correct

The correct answer is C. (3870). The packets form the decreasing AP \(300,290,280,\ldots\) and \(S_{18}=3870\). Exam tip: keep the common difference negative for decreasing quantities.

Step 3

Exam Tip

पैकेट \(300,290,280,\ldots\) घटती समान्तर श्रेणी हैं और \(S_{18}=3870\)। परीक्षा में घटती मात्रा में सार्व अंतर ऋणात्मक रखें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक प्रदर्शनी में (20) दिनों में कुल (2150) आगंतुक आए। यदि आगंतुकों की संख्या रोज (5) से बढ़ी तो पहले दिन कितने आगंतुक आए?

In an exhibition (2150) visitors came in (20) days. If the number of visitors increased by (5) each day then how many visitors came on the first day?

Explanation opens after your attempt
Correct Answer

A. (60)

Step 1

Concept

Using \(S_{20}=2150\) and (d=5) gives (a=60). Exam tip: find the first day from total and increase.

Step 2

Why this answer is correct

The correct answer is A. (60). Using \(S_{20}=2150\) and (d=5) gives (a=60). Exam tip: find the first day from total and increase.

Step 3

Exam Tip

\(S_{20}=2150\) और (d=5) रखने पर (a=60) मिलता है। परीक्षा में कुल और वृद्धि से प्रथम दिन निकालें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक प्रशिक्षण में पहले दिन (45) मिनट अभ्यास हुआ और हर अगले दिन (15) मिनट अधिक अभ्यास हुआ। कुल (2520) मिनट अभ्यास पूरा होने में कितने दिन लगेंगे?

In a training program practice is (45) minutes on the first day and (15) minutes more each next day. How many days are needed to complete (2520) minutes of practice?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

The practice times are \(45,60,75,\ldots\) and \(S_n=2520\) gives (n=16). Exam tip: set the target total equal to \(S_n\).

Step 2

Why this answer is correct

The correct answer is C. (16). The practice times are \(45,60,75,\ldots\) and \(S_n=2520\) gives (n=16). Exam tip: set the target total equal to \(S_n\).

Step 3

Exam Tip

अभ्यास समय \(45,60,75,\ldots\) है और \(S_n=2520\) से (n=16)। परीक्षा में कुल लक्ष्य को \(S_n\) के बराबर रखें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक कला कक्षा में पहले दिन (55) चित्र बनाए गए और हर अगले दिन (11) चित्र अधिक बनाए गए। (21)वें दिन कितने चित्र बनेंगे?

In an art class (55) drawings are made on the first day and (11) more drawings are made each next day. How many drawings are made on the (21)st day?

Explanation opens after your attempt
Correct Answer

D. (275)

Step 1

Concept

The drawing numbers are \(55,66,77,\ldots\) and \(a_{21}=275\). Exam tip: work on the (n)th day is found by the (n)th term.

Step 2

Why this answer is correct

The correct answer is D. (275). The drawing numbers are \(55,66,77,\ldots\) and \(a_{21}=275\). Exam tip: work on the (n)th day is found by the (n)th term.

Step 3

Exam Tip

चित्रों की संख्या \(55,66,77,\ldots\) है और \(a_{21}=275\)। परीक्षा में (n)वें दिन का काम (n)वें पद से मिलता है।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक प्रयोगशाला में पहले दिन (16) उपकरण रखे गए और (25) दिनों में कुल (1600) उपकरण रखे गए। यदि हर दिन समान वृद्धि हुई तो वृद्धि कितनी थी?

In a laboratory (16) instruments are placed on the first day and (1600) instruments are placed in (25) days. If the increase is equal each day then what was the increase?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

Using \(S_{25}=1600\) and (a=16) gives (d=4). Exam tip: find (d) from total and first day.

Step 2

Why this answer is correct

The correct answer is C. (4). Using \(S_{25}=1600\) and (a=16) gives (d=4). Exam tip: find (d) from total and first day.

Step 3

Exam Tip

\(S_{25}=1600\) और (a=16) रखने पर (d=4) मिलता है। परीक्षा में कुल और प्रथम दिन से (d) निकालें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक वेबसाइट पर पहले दिन (900) विजिट आए और हर अगले दिन (50) विजिट कम हुए। (10) दिनों में कुल कितने विजिट आएंगे?

A website gets (900) visits on the first day and (50) fewer visits each next day. How many visits are received in (10) days?

Explanation opens after your attempt
Correct Answer

C. (6750)

Step 1

Concept

The visits form the decreasing AP \(900,850,800,\ldots\) and \(S_{10}=6750\). Exam tip: keep (d) negative for decreasing numbers.

Step 2

Why this answer is correct

The correct answer is C. (6750). The visits form the decreasing AP \(900,850,800,\ldots\) and \(S_{10}=6750\). Exam tip: keep (d) negative for decreasing numbers.

Step 3

Exam Tip

विजिट \(900,850,800,\ldots\) घटती समान्तर श्रेणी हैं और \(S_{10}=6750\)। परीक्षा में घटती संख्या के लिए (d) ऋणात्मक रखें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक दैनिक मजदूरी योजना में पहले दिन (600) रुपये मिलते हैं और हर अगले दिन (80) रुपये अधिक मिलते हैं। (15) दिनों में कुल मजदूरी कितनी होगी?

In a daily wage plan (600) rupees are earned on the first day and (80) rupees more each next day. What is the total wage in (15) days?

Explanation opens after your attempt
Correct Answer

C. (17400)

Step 1

Concept

The wages are \(600,680,760,\ldots\) and \(S_{15}=17400\). Exam tip: treat daily wages as an AP.

Step 2

Why this answer is correct

The correct answer is C. (17400). The wages are \(600,680,760,\ldots\) and \(S_{15}=17400\). Exam tip: treat daily wages as an AP.

Step 3

Exam Tip

मजदूरी \(600,680,760,\ldots\) है और \(S_{15}=17400\)। परीक्षा में दैनिक मजदूरी को समान्तर श्रेणी मानें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक दुकान में पहले दिन (500) वस्तुएं थीं और हर अगले दिन (30) वस्तुएं कम हुईं। (14)वें दिन कितनी वस्तुएं बचेंगी?

A shop has (500) items on the first day and (30) fewer items each next day. How many items will remain on the (14)th day?

Explanation opens after your attempt
Correct Answer

C. (110)

Step 1

Concept

The item numbers are \(500,470,440,\ldots\) and \(a_{14}=110\). Exam tip: keep (d) negative in a decreasing AP.

Step 2

Why this answer is correct

The correct answer is C. (110). The item numbers are \(500,470,440,\ldots\) and \(a_{14}=110\). Exam tip: keep (d) negative in a decreasing AP.

Step 3

Exam Tip

वस्तुओं की संख्या \(500,470,440,\ldots\) है और \(a_{14}=110\)। परीक्षा में घटती श्रेणी में (d) ऋणात्मक रखें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक वेबसाइट पर पहले दिन (500) विजिट आए और हर अगले दिन (75) विजिट अधिक आए। (9) दिनों में कुल कितने विजिट आएंगे?

A website gets (500) visits on the first day and (75) more visits each next day. How many visits are received in (9) days?

Explanation opens after your attempt
Correct Answer

A. (7200)

Step 1

Concept

The visits form the AP \(500,575,650,\ldots\) and \(S_9=7200\). Exam tip: add daily visits as terms.

Step 2

Why this answer is correct

The correct answer is A. (7200). The visits form the AP \(500,575,650,\ldots\) and \(S_9=7200\). Exam tip: add daily visits as terms.

Step 3

Exam Tip

विजिट \(500,575,650,\ldots\) समान्तर श्रेणी हैं और \(S_9=7200\)। परीक्षा में दैनिक विजिट को पदों की तरह जोड़ें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक मशीन पर पहले दिन (1000) रुपये खर्च हुए और हर अगले दिन (45) रुपये कम खर्च हुए। (12) दिनों में कुल खर्च कितना होगा?

A machine costs (1000) rupees on the first day and (45) rupees less each next day. What is the total cost in (12) days?

Explanation opens after your attempt
Correct Answer

D. (9030)

Step 1

Concept

The costs form the decreasing AP \(1000,955,910,\ldots\) and \(S_{12}=9030\). Exam tip: take (d) negative for decreasing costs.

Step 2

Why this answer is correct

The correct answer is D. (9030). The costs form the decreasing AP \(1000,955,910,\ldots\) and \(S_{12}=9030\). Exam tip: take (d) negative for decreasing costs.

Step 3

Exam Tip

खर्च \(1000,955,910,\ldots\) घटती समान्तर श्रेणी है और \(S_{12}=9030\)। परीक्षा में घटते खर्च के लिए (d) ऋणात्मक लें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक ऐप की आय पहले दिन (250) रुपये है और हर अगले दिन (35) रुपये बढ़ती है। (11)वें दिन आय कितनी होगी?

An app earns (250) rupees on the first day and the income increases by (35) rupees each next day. What will be the income on the (11)th day?

Explanation opens after your attempt
Correct Answer

B. (600)

Step 1

Concept

The income is \(250,285,320,\ldots\) and \(a_{11}=600\). Exam tip: use the (n)th term for a particular day.

Step 2

Why this answer is correct

The correct answer is B. (600). The income is \(250,285,320,\ldots\) and \(a_{11}=600\). Exam tip: use the (n)th term for a particular day.

Step 3

Exam Tip

आय \(250,285,320,\ldots\) है और \(a_{11}=600\)। परीक्षा में किसी विशेष दिन के लिए (n)वाँ पद लगाएं।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक स्टॉक में पहले दिन (320) डिब्बे थे और हर अगले दिन (20) डिब्बे कम होते गए। (11) दिनों में कुल देखे गए डिब्बे कितने होंगे?

A stock has (320) boxes on the first day and (20) fewer boxes each next day. What is the total observed number of boxes over (11) days?

Explanation opens after your attempt
Correct Answer

B. (2420)

Step 1

Concept

The box numbers are \(320,300,280,\ldots\) and \(S_{11}=2420\). Exam tip: take (d) negative for decreasing stock.

Step 2

Why this answer is correct

The correct answer is B. (2420). The box numbers are \(320,300,280,\ldots\) and \(S_{11}=2420\). Exam tip: take (d) negative for decreasing stock.

Step 3

Exam Tip

डिब्बों की संख्या \(320,300,280,\ldots\) है और \(S_{11}=2420\)। परीक्षा में घटते स्टॉक में (d) ऋणात्मक लें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक दान पेटी में पहले दिन (60) रुपये पड़े और हर अगले दिन (20) रुपये अधिक पड़े। कुल (2040) रुपये जमा होने में कितने दिन लगेंगे?

In a donation box (60) rupees are put on the first day and (20) rupees more each next day. How many days will be needed to collect (2040) rupees?

Explanation opens after your attempt
Correct Answer

D. (12)

Step 1

Concept

The amounts are \(60,80,100,\ldots\) and \(S_n=2040\) gives (n=12). Exam tip: put the target total in the sum formula.

Step 2

Why this answer is correct

The correct answer is D. (12). The amounts are \(60,80,100,\ldots\) and \(S_n=2040\) gives (n=12). Exam tip: put the target total in the sum formula.

Step 3

Exam Tip

राशियां \(60,80,100,\ldots\) हैं और \(S_n=2040\) से (n=12) मिलता है। परीक्षा में कुल लक्ष्य को योग सूत्र में रखें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक अभ्यास शिविर में पहले दिन (14) प्रश्न हल हुए और (20) दिनों में कुल (1230) प्रश्न हल हुए। यदि हर दिन समान वृद्धि हुई तो दैनिक वृद्धि कितनी थी?

In a practice camp (14) questions are solved on the first day and (1230) questions are solved in (20) days. If the increase is equal each day then what is the daily increase?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

Using \(S_{20}=1230\) and (a=14) gives (d=5). Exam tip: daily increase can be found from total practice.

Step 2

Why this answer is correct

The correct answer is B. (5). Using \(S_{20}=1230\) and (a=14) gives (d=5). Exam tip: daily increase can be found from total practice.

Step 3

Exam Tip

\(S_{20}=1230\) और (a=14) रखने पर (d=5) मिलता है। परीक्षा में कुल अभ्यास से दैनिक वृद्धि निकाली जा सकती है।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक जलाशय में पहले दिन (210) लीटर पानी बचा और हर अगले दिन (12) लीटर कम हुआ। किस दिन (66) लीटर पानी बचेगा?

A reservoir has (210) litres of water on the first day and (12) litres less each next day. On which day will (66) litres remain?

Explanation opens after your attempt
Correct Answer

C. (13)

Step 1

Concept

From (210+(n-1)(-12)=66), (n=13). Exam tip: keep (d) negative in a decreasing AP.

Step 2

Why this answer is correct

The correct answer is C. (13). From (210+(n-1)(-12)=66), (n=13). Exam tip: keep (d) negative in a decreasing AP.

Step 3

Exam Tip

(210+(n-1)(-12)=66) से (n=13) मिलता है। परीक्षा में घटती श्रेणी में (d) ऋणात्मक रखें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक गोदाम में पहले दिन (500) पैकेट रखे गए और हर अगले दिन (25) पैकेट कम रखे गए। (14) दिनों में कुल कितने पैकेट रखे गए?

In a warehouse (500) packets are stored on the first day and (25) fewer packets are stored each next day. How many packets are stored in (14) days?

Explanation opens after your attempt
Correct Answer

C. (4725)

Step 1

Concept

The packet numbers form a decreasing AP and \(S_{14}=4725\). Exam tip: take a decrease as a negative common difference.

Step 2

Why this answer is correct

The correct answer is C. (4725). The packet numbers form a decreasing AP and \(S_{14}=4725\). Exam tip: take a decrease as a negative common difference.

Step 3

Exam Tip

पैकेटों की संख्या घटती समान्तर श्रेणी है और \(S_{14}=4725\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक बचत चुनौती में पहले दिन (90) रुपये जमा किए गए और हर अगले दिन (30) रुपये अधिक जमा किए गए। (14) दिनों में कुल कितनी बचत होगी?

In a saving challenge (90) rupees are deposited on the first day and (30) rupees more each next day. What is the total saving in (14) days?

Explanation opens after your attempt
Correct Answer

C. (3990)

Step 1

Concept

The amounts are the AP \(90,120,150,\ldots\) and \(S_{14}=3990\). Exam tip: treat the number of days as the number of terms.

Step 2

Why this answer is correct

The correct answer is C. (3990). The amounts are the AP \(90,120,150,\ldots\) and \(S_{14}=3990\). Exam tip: treat the number of days as the number of terms.

Step 3

Exam Tip

राशियां \(90,120,150,\ldots\) समान्तर श्रेणी हैं और \(S_{14}=3990\)। परीक्षा में दिनों की संख्या को पदों की संख्या मानें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक अखबार विक्रेता पहले दिन (150) अखबार बेचता है और हर अगले दिन (20) अखबार अधिक बेचता है। किस दिन (410) अखबार बिकेंगे?

A newspaper seller sells (150) newspapers on the first day and (20) more newspapers each next day. On which day will (410) newspapers be sold?

Explanation opens after your attempt
Correct Answer

B. (14)

Step 1

Concept

From (150+(n-1)20=410), (n=14). Exam tip: set the target number equal to \(a_n\).

Step 2

Why this answer is correct

The correct answer is B. (14). From (150+(n-1)20=410), (n=14). Exam tip: set the target number equal to \(a_n\).

Step 3

Exam Tip

(150+(n-1)20=410) से (n=14) मिलता है। परीक्षा में लक्ष्य संख्या को \(a_n\) के बराबर रखें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक फैक्टरी पहले दिन (420) इकाइयां बनाती है और हर अगले दिन (18) इकाइयां कम बनाती है। पहले (15) दिनों में कुल उत्पादन कितना होगा?

A factory makes (420) units on the first day and (18) fewer units each next day. What is the total production in the first (15) days?

Explanation opens after your attempt
Correct Answer

D. (4410)

Step 1

Concept

The production is the decreasing AP \(420,402,384,\ldots\) and \(S_{15}=4410\). Exam tip: treat a decrease as a negative common difference.

Step 2

Why this answer is correct

The correct answer is D. (4410). The production is the decreasing AP \(420,402,384,\ldots\) and \(S_{15}=4410\). Exam tip: treat a decrease as a negative common difference.

Step 3

Exam Tip

उत्पादन \(420,402,384,\ldots\) घटती समान्तर श्रेणी है और \(S_{15}=4410\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक अखबार विक्रेता पहले दिन (110) अखबार बेचता है और हर अगले दिन (15) अखबार अधिक बेचता है। किस दिन (320) अखबार बिकेंगे?

A newspaper seller sells (110) newspapers on the first day and (15) more newspapers each next day. On which day will (320) newspapers be sold?

Explanation opens after your attempt
Correct Answer

B. (15)

Step 1

Concept

From (110+(n-1)15=320), (n=15). Exam tip: set the target number equal to \(a_n\).

Step 2

Why this answer is correct

The correct answer is B. (15). From (110+(n-1)15=320), (n=15). Exam tip: set the target number equal to \(a_n\).

Step 3

Exam Tip

(110+(n-1)15=320) से (n=15) मिलता है। परीक्षा में लक्ष्य संख्या को \(a_n\) के बराबर रखें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक दवा की खुराक पहले दिन (10) मिलीग्राम है और हर अगले दिन (4) मिलीग्राम बढ़ती है। पहले (18) दिनों की कुल खुराक कितनी होगी?

A medicine dose is (10) mg on the first day and increases by (4) mg each next day. What is the total dose over the first (18) days?

Explanation opens after your attempt
Correct Answer

C. (792)

Step 1

Concept

The doses form the AP \(10,14,18,\ldots\) and \(S_{18}=792\). Exam tip: add the terms for the total dose.

Step 2

Why this answer is correct

The correct answer is C. (792). The doses form the AP \(10,14,18,\ldots\) and \(S_{18}=792\). Exam tip: add the terms for the total dose.

Step 3

Exam Tip

खुराक \(10,14,18,\ldots\) समान्तर श्रेणी है और \(S_{18}=792\)। परीक्षा में कुल खुराक के लिए पदों का योग लें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक खेल क्लब में पहले दिन (18) सदस्य जुड़े और हर अगले दिन (9) सदस्य अधिक जुड़े। (20) दिनों में कुल कितने सदस्य जुड़ेंगे?

In a sports club (18) members join on the first day and (9) more members join each next day. How many members join in (20) days?

Explanation opens after your attempt
Correct Answer

D. (2070)

Step 1

Concept

The member numbers are \(18,27,36,\ldots\) and \(S_{20}=2070\). Exam tip: add all days for total members.

Step 2

Why this answer is correct

The correct answer is D. (2070). The member numbers are \(18,27,36,\ldots\) and \(S_{20}=2070\). Exam tip: add all days for total members.

Step 3

Exam Tip

सदस्यों की संख्या \(18,27,36,\ldots\) है और \(S_{20}=2070\)। परीक्षा में कुल सदस्य के लिए सभी दिनों का योग लें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक कपड़ा दुकान पहले दिन (100) मीटर कपड़ा बेचती है और हर अगले दिन (25) मीटर अधिक बेचती है। (9) दिनों में कुल कितने मीटर कपड़ा बिकेगा?

A cloth shop sells (100) metres of cloth on the first day and (25) metres more each next day. How many metres of cloth are sold in (9) days?

Explanation opens after your attempt
Correct Answer

B. (1800)

Step 1

Concept

The cloth sales form \(100,125,150,\ldots\) and \(S_9=1800\). Exam tip: use the sum formula for sales across all days.

Step 2

Why this answer is correct

The correct answer is B. (1800). The cloth sales form \(100,125,150,\ldots\) and \(S_9=1800\). Exam tip: use the sum formula for sales across all days.

Step 3

Exam Tip

कपड़े की बिक्री \(100,125,150,\ldots\) है और \(S_9=1800\)। परीक्षा में सभी दिनों की बिक्री के लिए योग सूत्र लगाएं।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक ऐप की आय पहले दिन (700) रुपये है और हर अगले दिन (150) रुपये बढ़ती है। (8) दिनों की कुल आय कितनी होगी?

An app earns (700) rupees on the first day and the income increases by (150) rupees each next day. What is the total income in (8) days?

Explanation opens after your attempt
Correct Answer

B. (9800)

Step 1

Concept

The income is \(700,850,1000,\ldots\) and \(S_8=9800\). Exam tip: add daily income as AP terms.

Step 2

Why this answer is correct

The correct answer is B. (9800). The income is \(700,850,1000,\ldots\) and \(S_8=9800\). Exam tip: add daily income as AP terms.

Step 3

Exam Tip

आय \(700,850,1000,\ldots\) है और \(S_8=9800\)। परीक्षा में दैनिक आय को ए.पी. के पदों की तरह जोड़ें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक स्कूल प्रयोगशाला में पहले दिन (25) उपकरण लगाए गए और हर अगले दिन (10) उपकरण अधिक लगाए गए। कुल (960) उपकरण लगाने में कितने दिन लगेंगे?

In a school laboratory (25) instruments are installed on the first day and (10) more instruments each next day. How many days are needed to install (960) instruments?

Explanation opens after your attempt
Correct Answer

B. (12)

Step 1

Concept

The instrument numbers are \(25,35,45,\ldots\) and \(S_n=960\) gives (n=12). Exam tip: when a total target is given, find the number of terms.

Step 2

Why this answer is correct

The correct answer is B. (12). The instrument numbers are \(25,35,45,\ldots\) and \(S_n=960\) gives (n=12). Exam tip: when a total target is given, find the number of terms.

Step 3

Exam Tip

उपकरणों की संख्या \(25,35,45,\ldots\) है और \(S_n=960\) से (n=12)। परीक्षा में कुल लक्ष्य दिया हो तो पदों की संख्या निकालें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक कला कक्षा में पहले दिन (16) चित्र बनाए गए और हर अगले दिन (8) चित्र अधिक बनाए गए। (15)वें दिन कितने चित्र बनेंगे?

In an art class (16) drawings are made on the first day and (8) more drawings each next day. How many drawings are made on the (15)th day?

Explanation opens after your attempt
Correct Answer

C. (128)

Step 1

Concept

The number of drawings is \(16,24,32,\ldots\) and \(a_{15}=128\). 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. (128). The number of drawings is \(16,24,32,\ldots\) and \(a_{15}=128\). Exam tip: work done on the (n)th day is the (n)th term.

Step 3

Exam Tip

चित्रों की संख्या \(16,24,32,\ldots\) है और \(a_{15}=128\)। परीक्षा में (n)वें दिन का काम (n)वें पद से मिलता है।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक स्वच्छता अभियान में पहले दिन (9) गलियां साफ हुईं और हर अगले दिन (4) गलियां अधिक साफ हुईं। (19) दिनों में कुल कितनी गलियां साफ होंगी?

In a cleanliness campaign (9) lanes are cleaned on the first day and (4) more lanes are cleaned each next day. How many lanes are cleaned in (19) days?

Explanation opens after your attempt
Correct Answer

A. (855)

Step 1

Concept

The lane numbers are \(9,13,17,\ldots\) and \(S_{19}=855\). Exam tip: treat a sequence with equal increase as an AP.

Step 2

Why this answer is correct

The correct answer is A. (855). The lane numbers are \(9,13,17,\ldots\) and \(S_{19}=855\). Exam tip: treat a sequence with equal increase as an AP.

Step 3

Exam Tip

गलियों की संख्या \(9,13,17,\ldots\) है और \(S_{19}=855\)। परीक्षा में समान वृद्धि वाली श्रेणी को ए.पी. मानें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक अस्पताल में पहले दिन (40) मरीज आए और हर अगले दिन (8) मरीज अधिक आए। (18) दिनों में कुल कितने मरीज आएंगे?

In a hospital (40) patients come on the first day and (8) more patients come each next day. How many patients come in (18) days?

Explanation opens after your attempt
Correct Answer

D. (1944)

Step 1

Concept

The patient numbers are \(40,48,56,\ldots\) and \(S_{18}=1944\). Exam tip: use the sum formula for total patients.

Step 2

Why this answer is correct

The correct answer is D. (1944). The patient numbers are \(40,48,56,\ldots\) and \(S_{18}=1944\). Exam tip: use the sum formula for total patients.

Step 3

Exam Tip

मरीजों की संख्या \(40,48,56,\ldots\) है और \(S_{18}=1944\)। परीक्षा में कुल मरीजों के लिए योग सूत्र लगाएं।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक सब्जी विक्रेता पहले दिन (150) किलोग्राम सब्जी बेचता है और हर अगले दिन (20) किलोग्राम अधिक बेचता है। (10) दिनों में कुल कितनी सब्जी बिकेगी?

A vegetable seller sells (150) kg vegetables on the first day and (20) kg more each next day. How many kg vegetables are sold in (10) days?

Explanation opens after your attempt
Correct Answer

C. (2400)

Step 1

Concept

The sales form the AP \(150,170,190,\ldots\) and \(S_{10}=2400\). Exam tip: treat daily sales as AP terms.

Step 2

Why this answer is correct

The correct answer is C. (2400). The sales form the AP \(150,170,190,\ldots\) and \(S_{10}=2400\). Exam tip: treat daily sales as AP terms.

Step 3

Exam Tip

बिक्री \(150,170,190,\ldots\) समान्तर श्रेणी है और \(S_{10}=2400\)। परीक्षा में दैनिक बिक्री को ए.पी. के पद मानें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक दुकान पहले दिन (220) पैकेट बेचती है और हर अगले दिन (14) पैकेट कम बेचती है। (12) दिनों में कुल कितने पैकेट बिकेंगे?

A shop sells (220) packets on the first day and (14) fewer packets each next day. How many packets are sold in (12) days?

Explanation opens after your attempt
Correct Answer

A. (1716)

Step 1

Concept

The sales form the decreasing AP \(220,206,192,\ldots\) and \(S_{12}=1716\). Exam tip: keep (d) negative for decreasing sales.

Step 2

Why this answer is correct

The correct answer is A. (1716). The sales form the decreasing AP \(220,206,192,\ldots\) and \(S_{12}=1716\). Exam tip: keep (d) negative for decreasing sales.

Step 3

Exam Tip

बिक्री \(220,206,192,\ldots\) घटती समान्तर श्रेणी है और \(S_{12}=1716\)। परीक्षा में कम होती बिक्री में (d) ऋणात्मक रखें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक निर्माण दल पहले दिन (20) घंटे काम करता है और हर अगले दिन (5) घंटे अधिक काम करता है। (14) दिनों में कुल कितने घंटे काम होगा?

A construction team works (20) hours on the first day and (5) more hours each next day. How many hours of work are done in (14) days?

Explanation opens after your attempt
Correct Answer

D. (735)

Step 1

Concept

The work hours are \(20,25,30,\ldots\) and \(S_{14}=735\). Exam tip: add all days using the sum formula for total hours.

Step 2

Why this answer is correct

The correct answer is D. (735). The work hours are \(20,25,30,\ldots\) and \(S_{14}=735\). Exam tip: add all days using the sum formula for total hours.

Step 3

Exam Tip

काम के घंटे \(20,25,30,\ldots\) हैं और \(S_{14}=735\)। परीक्षा में कुल घंटे के लिए सभी दिनों का योग लें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक स्कूल में पहले दिन (45) नए दाखिले हुए और हर अगले दिन (15) दाखिले अधिक हुए। कुल (2520) दाखिले होने में कितने दिन लगेंगे?

In a school (45) new admissions happen on the first day and (15) more admissions happen each next day. How many days are needed for (2520) admissions?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

The admissions are \(45,60,75,\ldots\) and \(S_n=2520\) gives (n=16). Exam tip: connect the target total with the sum formula.

Step 2

Why this answer is correct

The correct answer is C. (16). The admissions are \(45,60,75,\ldots\) and \(S_n=2520\) gives (n=16). Exam tip: connect the target total with the sum formula.

Step 3

Exam Tip

दाखिलों की संख्या \(45,60,75,\ldots\) है और \(S_n=2520\) से (n=16)। परीक्षा में कुल लक्ष्य को योग सूत्र से जोड़ें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक कारीगर पहले दिन (18) मिट्टी के बर्तन बनाता है और हर अगले दिन (7) बर्तन अधिक बनाता है। (16) दिनों में कुल कितने बर्तन बनेंगे?

A craftsperson makes (18) clay pots on the first day and (7) more pots each next day. How many pots are made in (16) days?

Explanation opens after your attempt
Correct Answer

A. (1128)

Step 1

Concept

The pot numbers are \(18,25,32,\ldots\) and \(S_{16}=1128\). Exam tip: use the sum formula for total production.

Step 2

Why this answer is correct

The correct answer is A. (1128). The pot numbers are \(18,25,32,\ldots\) and \(S_{16}=1128\). Exam tip: use the sum formula for total production.

Step 3

Exam Tip

बर्तनों की संख्या \(18,25,32,\ldots\) है और \(S_{16}=1128\)। परीक्षा में कुल उत्पादन के लिए योग सूत्र लगाएं।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक जलाशय में पहले दिन (1500) लीटर पानी है और हर अगले दिन (60) लीटर पानी कम होता है। पहले (12) दिनों में देखी गई पानी की कुल मात्रा कितनी होगी?

A reservoir has (1500) litres of water on the first day and (60) litres less each next day. What is the total observed water amount over the first (12) days?

Explanation opens after your attempt
Correct Answer

C. (14040)

Step 1

Concept

The amounts form the decreasing AP \(1500,1440,1380,\ldots\) and \(S_{12}=14040\). Exam tip: keep (d) negative for decreasing quantities.

Step 2

Why this answer is correct

The correct answer is C. (14040). The amounts form the decreasing AP \(1500,1440,1380,\ldots\) and \(S_{12}=14040\). Exam tip: keep (d) negative for decreasing quantities.

Step 3

Exam Tip

मात्राएं \(1500,1440,1380,\ldots\) घटती समान्तर श्रेणी हैं और \(S_{12}=14040\)। परीक्षा में घटती मात्रा के लिए (d) ऋणात्मक रखें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक दान अभियान में पहले दिन (200) रुपये मिले और हर अगले दिन (100) रुपये अधिक मिले। कुल (5400) रुपये जमा होने में कितने दिन लगेंगे?

In a donation campaign (200) rupees are received on the first day and (100) rupees more each next day. How many days will it take to collect (5400) rupees?

Explanation opens after your attempt
Correct Answer

B. (9)

Step 1

Concept

The donation amounts are \(200,300,400,\ldots\) and \(S_n=5400\) gives (n=9). Exam tip: form an \(S_n\) equation for the target total.

Step 2

Why this answer is correct

The correct answer is B. (9). The donation amounts are \(200,300,400,\ldots\) and \(S_n=5400\) gives (n=9). Exam tip: form an \(S_n\) equation for the target total.

Step 3

Exam Tip

दान राशि \(200,300,400,\ldots\) है और \(S_n=5400\) से (n=9)। परीक्षा में लक्ष्य कुल राशि के लिए \(S_n\) का समीकरण बनाएं।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक मजदूर पहले दिन (55) ईंटें लगाता है और हर अगले दिन (9) ईंटें अधिक लगाता है। (18) दिनों में कुल कितनी ईंटें लगेंगी?

A worker lays (55) bricks on the first day and (9) more bricks each next day. How many bricks will be laid in (18) days?

Explanation opens after your attempt
Correct Answer

C. (2367)

Step 1

Concept

The daily work forms the AP \(55,64,73,\ldots\) and \(S_{18}=2367\). Exam tip: treat the daily increase as the common difference.

Step 2

Why this answer is correct

The correct answer is C. (2367). The daily work forms the AP \(55,64,73,\ldots\) and \(S_{18}=2367\). Exam tip: treat the daily increase as the common difference.

Step 3

Exam Tip

दैनिक काम \(55,64,73,\ldots\) समान्तर श्रेणी है और \(S_{18}=2367\)। परीक्षा में दैनिक वृद्धि को सार्व अंतर मानें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक फैक्टरी पहले दिन (360) इकाइयां बनाती है और हर अगले दिन (15) इकाइयां कम बनाती है। पहले (16) दिनों में कुल उत्पादन कितना होगा?

A factory makes (360) units on the first day and (15) fewer units each next day. What is the total production in the first (16) days?

Explanation opens after your attempt
Correct Answer

D. (3960)

Step 1

Concept

The production is the decreasing AP \(360,345,330,\ldots\) and \(S_{16}=3960\). Exam tip: treat a decrease as a negative common difference.

Step 2

Why this answer is correct

The correct answer is D. (3960). The production is the decreasing AP \(360,345,330,\ldots\) and \(S_{16}=3960\). Exam tip: treat a decrease as a negative common difference.

Step 3

Exam Tip

उत्पादन \(360,345,330,\ldots\) घटती समान्तर श्रेणी है और \(S_{16}=3960\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक बचत योजना में पहले दिन (90) रुपये जमा किए गए और हर अगले दिन (30) रुपये अधिक जमा किए गए। (14) दिनों में कुल कितनी बचत होगी?

In a saving plan (90) rupees are deposited on the first day and (30) rupees more each next day. What is the total saving in (14) days?

Explanation opens after your attempt
Correct Answer

B. (3990)

Step 1

Concept

The amounts form the AP \(90,120,150,\ldots\) and \(S_{14}=3990\). Exam tip: use the sum formula for total saving.

Step 2

Why this answer is correct

The correct answer is B. (3990). The amounts form the AP \(90,120,150,\ldots\) and \(S_{14}=3990\). Exam tip: use the sum formula for total saving.

Step 3

Exam Tip

राशियां \(90,120,150,\ldots\) समान्तर श्रेणी बनाती हैं और \(S_{14}=3990\)। परीक्षा में कुल बचत के लिए योग सूत्र लगाएं।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक अखबार विक्रेता पहले दिन (90) अखबार बेचता है और हर अगले दिन (10) अखबार अधिक बेचता है। किस दिन (230) अखबार बिकेंगे?

A newspaper seller sells (90) newspapers on the first day and (10) more newspapers each next day. On which day will (230) newspapers be sold?

Explanation opens after your attempt
Correct Answer

C. (15)

Step 1

Concept

From (90+(n-1)10=230), (n=15). Exam tip: set the target number equal to \(a_n\).

Step 2

Why this answer is correct

The correct answer is C. (15). From (90+(n-1)10=230), (n=15). Exam tip: set the target number equal to \(a_n\).

Step 3

Exam Tip

(90+(n-1)10=230) से (n=15) मिलता है। परीक्षा में लक्ष्य संख्या को \(a_n\) के बराबर रखें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक दवा की खुराक पहले दिन (8) मिलीग्राम है और हर अगले दिन (3) मिलीग्राम बढ़ती है। पहले (20) दिनों की कुल खुराक कितनी होगी?

A medicine dose is (8) mg on the first day and increases by (3) mg each next day. What is the total dose over the first (20) days?

Explanation opens after your attempt
Correct Answer

C. (730)

Step 1

Concept

The doses form the AP \(8,11,14,\ldots\) and \(S_{20}=730\). Exam tip: add the terms for the total dose.

Step 2

Why this answer is correct

The correct answer is C. (730). The doses form the AP \(8,11,14,\ldots\) and \(S_{20}=730\). Exam tip: add the terms for the total dose.

Step 3

Exam Tip

खुराक \(8,11,14,\ldots\) समान्तर श्रेणी है और \(S_{20}=730\)। परीक्षा में कुल खुराक के लिए पदों का योग लें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक खेल क्लब में पहले दिन (12) सदस्य जुड़े और हर अगले दिन (6) सदस्य अधिक जुड़े। (17) दिनों में कुल कितने सदस्य जुड़ेंगे?

In a sports club (12) members join on the first day and (6) more members join each next day. How many members join in (17) days?

Explanation opens after your attempt
Correct Answer

C. (1020)

Step 1

Concept

The member numbers are \(12,18,24,\ldots\) and \(S_{17}=1020\). Exam tip: add all days for total members.

Step 2

Why this answer is correct

The correct answer is C. (1020). The member numbers are \(12,18,24,\ldots\) and \(S_{17}=1020\). Exam tip: add all days for total members.

Step 3

Exam Tip

सदस्यों की संख्या \(12,18,24,\ldots\) है और \(S_{17}=1020\)। परीक्षा में कुल सदस्य के लिए सभी दिनों का योग लें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक कपड़ा दुकान पहले दिन (80) मीटर कपड़ा बेचती है और हर अगले दिन (20) मीटर अधिक बेचती है। (8) दिनों में कुल कितने मीटर कपड़ा बिकेगा?

A cloth shop sells (80) metres of cloth on the first day and (20) metres more each next day. How many metres of cloth are sold in (8) days?

Explanation opens after your attempt
Correct Answer

C. (1200)

Step 1

Concept

The cloth sales form \(80,100,120,\ldots\) and \(S_8=1200\). Exam tip: use the sum formula for sales across all days.

Step 2

Why this answer is correct

The correct answer is C. (1200). The cloth sales form \(80,100,120,\ldots\) and \(S_8=1200\). Exam tip: use the sum formula for sales across all days.

Step 3

Exam Tip

कपड़े की बिक्री \(80,100,120,\ldots\) है और \(S_8=1200\)। परीक्षा में सभी दिनों की बिक्री के लिए योग सूत्र लगाएं।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक ऐप की आय पहले दिन (500) रुपये है और हर अगले दिन (100) रुपये बढ़ती है। (10) दिनों की कुल आय कितनी होगी?

An app earns (500) rupees on the first day and the income increases by (100) rupees each next day. What is the total income in (10) days?

Explanation opens after your attempt
Correct Answer

C. (9500)

Step 1

Concept

The income is \(500,600,700,\ldots\) and \(S_{10}=9500\). Exam tip: add daily income as AP terms.

Step 2

Why this answer is correct

The correct answer is C. (9500). The income is \(500,600,700,\ldots\) and \(S_{10}=9500\). Exam tip: add daily income as AP terms.

Step 3

Exam Tip

आय \(500,600,700,\ldots\) है और \(S_{10}=9500\)। परीक्षा में दैनिक आय को ए.पी. के पदों की तरह जोड़ें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक स्कूल प्रयोगशाला में पहले दिन (20) उपकरण लगाए गए और हर अगले दिन (5) उपकरण अधिक लगाए गए। कुल (570) उपकरण लगाने में कितने दिन लगेंगे?

In a school laboratory (20) instruments are installed on the first day and (5) more instruments each next day. How many days are needed to install (570) instruments?

Explanation opens after your attempt
Correct Answer

C. (12)

Step 1

Concept

The instrument numbers are \(20,25,30,\ldots\) and \(S_n=570\) gives (n=12). 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. (12). The instrument numbers are \(20,25,30,\ldots\) and \(S_n=570\) gives (n=12). Exam tip: when a total target is given, find the number of terms.

Step 3

Exam Tip

उपकरणों की संख्या \(20,25,30,\ldots\) है और \(S_n=570\) से (n=12)। परीक्षा में कुल लक्ष्य दिया हो तो पदों की संख्या निकालें।

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