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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 7th October 2016, 12:51 PM
Answered by 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 Expert 7th October 2016, 2:51 PM
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