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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 garden the first row has (21) plants and each next row has (11) more plants. Which row will have (252) plants?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?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?A stepped wall has (210) stones in the bottom row and (10) fewer stones in each upper row. Which row will have (70) stones?In a taxi service the fare for the first kilometre is (130) rupees and each next kilometre costs (40) rupees more. What is the total fare for (10) kilometres?In a matchstick pattern the first figure has (18) matchsticks and each next figure has (13) more matchsticks. How many matchsticks are in the (18)th figure?In a scholarship fund (500) rupees are deposited in the first week and (70) rupees more each next week. What is the total amount in (18) weeks?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?In an office (35) new applications are received in the first month and (12) more applications each next month. How many applications will be received in the (16)th month?In a multilevel parking area the first row can hold (54) cars and each next row can hold (9) more cars. What is the total capacity of (20) rows?A potter makes (32) pots on the first day and (11) more pots each next day. How many pots are made in (19) days?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?A machine produces (140) units in the first hour and (22) more units each next hour. What is the production in the (14)th hour?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?In an instalment plan the first instalment is (9500) rupees and each next instalment is (1500) rupees more. What is the total of (7) instalments?An auditorium has (2520) seats in (24) rows. If each next row has (5) more seats, how many seats were in the first row?A shop sells (360) packets on the first day and (18) fewer packets each next day. How many packets are sold in (15) days?A student reads (70) pages in the first month and (28) pages more each next month. In which month will the student read (434) pages?On a road the first gap between poles is (40) metres and each next gap increases by (10) metres. What is the total distance of the first (16) gaps?In a fitness club (50) members joined in the first month and (12) more members joined each next month. How many members joined in (18) months?