Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

What is the last two digits of $2^{20}$?

Options:

86

80

70

76

Correct Answer:

76

Explanation:

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.