Which of the following statements are true ? A. $2^{202}≡1(modulo\, 5)$ B. $2^{213}≡-2(modulo\, 5)$ C. $2^{300}≡-1(modulo\, 5)$ D. $2^{301}≡2(modulo\, 5)$ Choose the correct answer from the options given below : |
A and C only C only B and C only D only |
D only |
The correct answer is Option (4) → D only $2^{301}≡2(\text{modulo 5})$ $(2^4)^{75}.2^2≡2(\text{modulo 5})$ $2=\text{remainder}(\frac{2×1}{5})=2$ |