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Subjects

Mathematics

Word problems based on APs

अंकगणितीय प्रगति पर आधारित शब्द समस्याएँ

This Class 10 Mathematics topic applies Arithmetic Progressions (AP) to real-life word problems. Students learn to identify the first term, common difference, number of terms, and required sum from situations involving regular increases or decreases, such as savings, seating arrangements, wages, distances, and patterns. They practise translating statements into AP terms, selecting suitable formulas, solving step by step, and checking whether the answer fits the original context.

Practice questions

A bus takes (8) passengers at the first stop and (5) more passengers board at each next stop. How many passengers board by (19) stops?A company's profit is (60000) rupees in the first year and increases by (8000) rupees every year. What is the total profit for the first (6) years?In a tile pattern the first figure has (9) tiles and each next figure has (7) more tiles. How many tiles are used in the first (15) figures?A vegetable seller sells (120) kg vegetables on the first day and (15) kg more each next day. How many kg vegetables are sold in (9) days?In a saving plan (100) rupees are deposited in the first month and the total saving in (12) months is (4500) rupees. If the saving increases equally every month, what is the monthly increase?In a tank (20) litres of water are filled in the first minute and (9) litres more in each next minute. In which minute will (137) litres be filled?In a hospital (35) patients come on the first day and (5) more patients come each next day. How many patients come in (20) days?In a warehouse (45) sacks are placed in the first row and (8) more sacks in each next row. How many sacks are there in (10) rows?In an online course (5) videos are uploaded in the first week and (4) more videos each next week. How many videos are uploaded in (20) weeks?In a cleanliness campaign (6) lanes are cleaned on the first day and (3) more lanes are cleaned each next day. How many lanes are cleaned in (16) days?In an art class (14) drawings are made on the first day and (6) more drawings each next day. How many drawings are made on the (12)th day?In an exam the first question carries (3) marks and each next question carries (4) more marks. What are the total marks of the first (18) questions?In a festival decoration the first gate has (48) lights and each next gate has (12) more lights. How many lights are there on (9) gates?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?A cyclist covers (18) km in the first hour and (4) km more each next hour. What is the total distance in (15) hours?A farmer sells (70) kg grain in the first week and (10) kg more each next week. How much grain will be sold in (12) weeks?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?In a building the first floor has 150 windows and each next floor has 10 fewer windows. Which floor will have 60 windows?A printer prints (25) pages in the first hour and (7) more pages each next hour. How many pages are printed in (13) hours?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?