Pandavas won a hen in the war of the mahabharat. They brought it on the Ist Jan 2002. This hen gave birth to the 7 new hens on the very first day. After it every new hen in respective of its age everyday gave birth (only once in a lifeteine) to 7 new hen. This process continued throughout the year, but no any hen had been died so far. On the 365th day all the pandows shared equally all the hens among all the five brother. The remaining (it these can not be shared equally) hens were donated to krishna. The no of hens which the krishna had recieved is ______.
Answers
Answered by
1
Answer:
3
Step-by-step explanation:
Hens on 1 st Day = 1 + 7 (birth)
Hens on 2nd Day = Hens on 1st Day + (hens birth on 1st Day) * 7
= 1 + 7 + 7²
Similarly on 3rd day = 1 + 7 + 7² + 7³
on 365 day = 1 + 7 + 7² + 7³ + .......................................+ 7³⁶⁵
Total 366 terms
on dividing by 5
ist term gives remainder 1
2nd term gives remainder 2
3rd term gives remainder 4
4th term gives remainder 3
then this sequence repeats
Total 366 terms = 91 * 4 + 2
sum of remainders = 91 * ( 1 + 2 + 3 + 4) 1 + 2
= 91 * 10 + 3
91 * 10 is divisible by 5
hence remainder = 3
The no of hens which the krishna had received is = 3
Answered by
2
Answer:
4 the correct answer
Step-by-step explanation:
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