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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

In a stadium the first row has (7) seats and each next row has (2) more seats. How many seats are there in (21) rows?In an exercise plan (10) push-ups are done on the first day and (5) more push-ups each next day. How many days are needed to complete (450) push-ups?In a saving challenge (60) rupees are deposited on the first day and (15) rupees more each next day. How much is deposited on the (10)th day?In a warehouse the first shelf has (25) boxes and each next shelf has (5) more boxes. How many boxes are there on (11) shelves?A fund receives (3150) rupees in (15) weeks. If the deposit increases by (10) rupees every week then how much was deposited in the first week?The first row of a cinema hall has (13) seats and each next row has (3) more seats. How many seats are there in (14) rows?In a saving plan (120) rupees are deposited in the first month and (30) rupees more each next month. What is the total saving in (10) months?The first row of an auditorium has (22) seats and each next row has (4) more seats. How many seats are in the (18)th row?A factory makes (180) items on the first day and (20) more items each next day. How many items are made in (8) days?The first row of a hall has (14) chairs and each next row has (2) more chairs. If there are (360) chairs in total then how many rows are there?A machine makes (95) packets in the first hour and (5) fewer packets each next hour. What is the total production in the first (9) hours?The total sale of a shop for (10) weeks is (725) items. If the sale increases by (5) items every week then what was the sale in the first week?In a book donation drive (18) books are received on the first day and (7) more books are received each next day. On which day will (88) books be received?In a theatre the first row has (17) seats and each next row has (3) more seats. How many seats are there in (16) rows?A reservoir has (640) litres of water on the first day and (30) litres less each next day. How much water remains on the (13)th day?In an account, 1,500 rupees are deposited in the first month and the total deposit in 7 months is 16,800 rupees. If the deposit increases equally every month, what is the monthly increase?On a road the first gap between poles is (12) metres and each next gap increases by (3) metres. What is the total distance of the first (10) gaps?An employee earns (18000) rupees in the first month and the salary increases by (750) rupees every month. What is the salary in the (9)th month?In an exam the first question carries (5) marks and each next question carries (2) more marks. What are the total marks of the first (14) questions?In a competition there are (21) participants in the first round and (6) more participants in each next round. How many participants are there in (8) rounds?