Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

When $3^{37} = 80 λ + k$ for an integer $λ$ , what is the remainder $k$ on division by 80?

Answer:

Solution:

$3^{4} = 81 \equiv 1 (mod 80)$ , so $3^{37} = 3 (3^{4})^{9} \equiv 3 (mod 80)$ .

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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