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SubjectsMathematics
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.
TOPIC PRACTICE
Up to 6 questions from this page. Select your focus, then start.
The member numbers are (36,48,60,\ldots) and (S_{19}=2736). Exam tip: add all days for total members.
View question detailsUsing (S_{21}=2793) and (a=42) gives (d=9). Exam tip: find the common difference from total and first term.
View question detailsThe plate numbers are (30,40,50,\ldots) and (S_{18}=2070). Exam tip: treat each table as one term of the AP.
View question detailsThe doses form the AP (15,21,27,\ldots) and (S_{22}=1716). Exam tip: add the terms for the total dose.
View question detailsThe water amounts are (200,245,290,\ldots) and (S_{12}=5370). Exam tip: treat hourly filled water as AP terms.
View question detailsThis is an AP with first term \(a=160\) and common difference \(d=30\). Sales on the \(n\)th day are \(a_n=160+(n-1)30\). Setting this equal to 610 gives \(160+(n-1)30=610\), so \((n-1)30=450\), \(n-1=15\), and \(n=16\). Therefore, 610 newspapers will be sold on the 16th day. On the 15th day, the sales would be 580, so that close option is incorrect. Exam tip: for a target value in an AP, equate it to \(a_n=a+(n-1)d\).
View question detailsQUIZ COMPLETE
