CAT
Exam
Numerical Ability
remainder when 7^344 divided by 9
Read Solution (Total 3)
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- 7^344/9 = 7^342*7^2/9
(7^3)^114*7^2/9
((243)^114/9)*49/9
(242+1)^114/9*49/9
((38*9+1)^114/9)49/9
1*49^9
4 remainder is 4 - 8 years agoHelpfull: Yes(1) No(0)
- 7^344/9=(-2)^344/9=2^344/9={(2^3)^114. 2^2}/9={8^114 . 4}/9={(-1)^114 . 4}/9=4/9
THUS REM=4 - 8 years agoHelpfull: Yes(0) No(0)
- BY REAMINDER THEOREM,
7^344/9 = 7^342*7^2/9
(7^3)^114*7^2/9
SINCE,243 IS COMPLETELY DIVISIBLE BY 9 .SO IT PURELY DEPANDS UPON 49 FOR ITS REMAINDER WHICH OBVIOUSLY GIVES 4 AS A REMAINDER .
- 8 years agoHelpfull: Yes(0) No(0)
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