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Maths Puzzle
76^345 * 23^245=?
find last digit no.?
ans should be with explain..
Read Solution (Total 6)
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- 76^345*23^245=6^345*3^245
(345/4)=1;same way,(245/4)=1
so,6^1=6;3^1=3
6*3=18
so,in this answer 18,last term is 8
so required answer is "8" - 11 years agoHelpfull: Yes(0) No(0)
- 76^345 * 23^245
for 76^345
Unit Digit of 76^345 = 6
for 23^245
=(23^4)^61 * 23
Unit digit of (23^4)^61 =1
and Unit digit of 23 = 3
so Last digit of whole = 6*1*3 =18 =8
Answer = 8 - 11 years agoHelpfull: Yes(0) No(0)
- 345/4,remainder=1then we have unit digit 6^1=6
and 245/4,remainder=1,then we have unit digit 3^1=3
and finally 6*3=18,so unit digit is 8
- 11 years agoHelpfull: Yes(0) No(1)
- yes ans is 8
- 11 years agoHelpfull: Yes(0) No(0)
- 76^345=last digit(6);
23^245=last digit(3);
as we can see
23^1=23
23^2=529
23^3=12167
23^4=279841
23^5=6436343
that means after every 5 time we get last digit of23 will be 3 so (6*3)=18 so last digit will be 8. - 11 years agoHelpfull: Yes(0) No(0)
- hii nisha
plz elaborate dis solution ..
i couldn't understand your logic... - 11 years agoHelpfull: Yes(0) No(0)
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