CUET Preparation Today
CUET
-- Applied Mathematics - Section B2
Numbers, Quantification and Numerical Applications
What is the last two digits of $2^{20}$?
86
80
70
76
The correct answer is option (4) : 76
$2^{10}=1024≡24(mod\, 100)$
$(2^{10})^2≡(24)^2(mod\, 100)$
$2^{20}= 576(mod\, 100)$
$2^{20}= 76 (mod\, 100)$
Hence, the last 2 digits of $2^{20} $ are 76.