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CBSE Class 11-science Answered

Let S be the set of numbers in ascending order which when divide by 8 leaves 5 as remainder. Find 76th number in this set ?
Asked by Topperlearning User | 07 Oct, 2016, 12:51: PM
answered-by-expert Expert Answer

T h e space n u m b e r s space i n space t h e space s e t space S thin space a r e space o f space t h e space f o r m space 8 k plus 5 b e c a u s e space A c c o r d i n g space t o space E u c l i d apostrophe s space D i v i s i o n space L e m m a space a n y space n u m b e r space s a y space n space w h e n space d i v i d e d space b y space s a y space p not equal to 0 space c a n space b e space w r i t t e n space i n space t h e space f o r m space n equals p q plus r space w h e r e p equals D i v i s o r q equals Q u o t i e n t r equals r e m a i n d e r S o space f o r space k equals 76 space w e space h a v e space 8 k plus 5 space a s space 8 left parenthesis 76 right parenthesis plus 5 equals 613 S o space t h e space n u m b e r space i s space 613 space

Answered by | 07 Oct, 2016, 02:51: PM

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