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Mathematics Word problems based on APs MCQ Questions for Class 10

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Question 591/600 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 592/600 Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक इमारत में पहले तल पर (260) खिड़कियां हैं और हर अगले तल पर (18) खिड़कियां कम हैं। किस तल पर (62) खिड़कियां होंगी?

In a building the first floor has (260) windows and each next floor has (18) fewer windows. Which floor will have (62) windows?

Explanation opens after your attempt
Correct Answer

C. (12)

Step 1

Concept

From (260+(n-1)(-18)=62), (n=12). Exam tip: write (d) as negative in a decreasing sequence.

Step 2

Why this answer is correct

The correct answer is C. (12). From (260+(n-1)(-18)=62), (n=12). Exam tip: write (d) as negative in a decreasing sequence.

Step 3

Exam Tip

(260+(n-1)(-18)=62) से (n=12) मिलता है। परीक्षा में घटती श्रेणी में (d) को ऋणात्मक लिखें।

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Question 593/600 Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक प्रिंटिंग प्रेस पहले घंटे (60) पेज छापती है और हर अगले घंटे (11) पेज अधिक छापती है। (18) घंटों में कुल कितने पेज छपेंगे?

A printing press prints (60) pages in the first hour and (11) more pages each next hour. How many pages are printed in (18) hours?

Explanation opens after your attempt
Correct Answer

B. (2763)

Step 1

Concept

The page numbers are \(60,71,82,\ldots\) and \(S_{18}=2763\). Exam tip: use the sum formula for total printing.

Step 2

Why this answer is correct

The correct answer is B. (2763). The page numbers are \(60,71,82,\ldots\) and \(S_{18}=2763\). Exam tip: use the sum formula for total printing.

Step 3

Exam Tip

पेजों की संख्या \(60,71,82,\ldots\) है और \(S_{18}=2763\)। परीक्षा में कुल छपाई के लिए योग सूत्र लगाएं।

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Question 594/600 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 595/600 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 596/600 Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक हॉल में पहली पंक्ति में (42) सीटें हैं और हर अगली पंक्ति में समान वृद्धि है। (21) पंक्तियों में कुल (2793) सीटें हैं तो वृद्धि कितनी है?

In a hall the first row has (42) seats and each next row has an equal increase. If (21) rows have (2793) seats in total, what is the increase?

Explanation opens after your attempt
Correct Answer

C. (9)

Step 1

Concept

Using \(S_{21}=2793\) and (a=42) gives (d=9). Exam tip: find the common difference from total and first term.

Step 2

Why this answer is correct

The correct answer is C. (9). Using \(S_{21}=2793\) and (a=42) gives (d=9). Exam tip: find the common difference from total and first term.

Step 3

Exam Tip

\(S_{21}=2793\) और (a=42) रखने पर (d=9) मिलता है। परीक्षा में कुल और प्रथम पद से सार्व अंतर निकालें।

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Question 597/600 Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक कैटरिंग सेवा पहली मेज पर (30) प्लेट रखती है और हर अगली मेज पर (10) प्लेट अधिक रखती है। (18) मेजों पर कुल कितनी प्लेटें होंगी?

A catering service places (30) plates on the first table and (10) more plates on each next table. How many plates are placed on (18) tables?

Explanation opens after your attempt
Correct Answer

B. (2070)

Step 1

Concept

The plate numbers are \(30,40,50,\ldots\) and \(S_{18}=2070\). Exam tip: treat each table as one term of the AP.

Step 2

Why this answer is correct

The correct answer is B. (2070). The plate numbers are \(30,40,50,\ldots\) and \(S_{18}=2070\). Exam tip: treat each table as one term of the AP.

Step 3

Exam Tip

प्लेटों की संख्या \(30,40,50,\ldots\) है और \(S_{18}=2070\)। परीक्षा में प्रत्येक मेज को समान्तर श्रेणी का एक पद मानें।

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Question 598/600 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 599/600 Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक पंप पहले घंटे (200) लीटर पानी भरता है और हर अगले घंटे (45) लीटर अधिक भरता है। (12) घंटों में कुल कितना पानी भरेगा?

A pump fills (200) litres of water in the first hour and (45) litres more each next hour. How much water will it fill in (12) hours?

Explanation opens after your attempt
Correct Answer

B. (5370)

Step 1

Concept

The water amounts are \(200,245,290,\ldots\) and \(S_{12}=5370\). Exam tip: treat hourly filled water as AP terms.

Step 2

Why this answer is correct

The correct answer is B. (5370). The water amounts are \(200,245,290,\ldots\) and \(S_{12}=5370\). Exam tip: treat hourly filled water as AP terms.

Step 3

Exam Tip

पानी की मात्रा \(200,245,290,\ldots\) है और \(S_{12}=5370\)। परीक्षा में प्रति घंटे भरे पानी को ए.पी. के पद मानें।

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Question 600/600 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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