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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
The remainder when $3^{2022}$  is divided by $5$ is
  • A
    $1$
  • B
    $2$
  • C
    $3$
  • ✓
    $4$
✓

Answer

Correct option: D.
$4$
d
$3^{2022}=9^{1011}=(10-1)^{1011}=10 m -1=10 m -5+4$

$=5(2 m-1)+4( m \text { is integer })$

Remainder $=4$

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