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STD 11 - 7. binomial theoram — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 7. binomial theoram1 Mark
MCQ
$(13)^{507}$ when divided by $9$ leaves the remainder :-
  • ✓
    $1$
  • B
    $4$
  • C
    $5$
  • D
    $7$
✓

Answer

Correct option: A.
$1$
a
$(13)^{507}=(9+4)^{507}$

Remainder $=4^{507}=\left(4^{3}\right)^{169}=(63+1)^{169}$

so remainder $=1$

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