Question 1. Which of the following is Caesar cipher of the plaintext “tuesday”?     .

	i)	XYIWHED
	ii)	DEODNKI
	iii)	YZJXIFE
	iv)	YZJXIFD

Question 2. If ${ord}_p(2024)={ord}_q(2024)$, then primes $p$ and $q$ cannot be     .

	i)	$7$ and $13$
	ii)	$11$ and $23$
	iii)	$2$ and $23$
	iv)	none of these

Question 3. A square root of $2$ modulo $23$ is     .

	i)	$21$
	ii)	$4$
	iii)	$18$
	iv)	doesn’t exists

Question 4. If $3$ and $4$ are secret keys of Alice and Bob respectively with public parameters $g=5$ and prime $p=23$, then their shared Diffie-Hellman key is     .

	i)	$4$
	ii)	$10$
	iii)	$18$
	iv)	none of these

Question 5. Which of the following is a Carmichael number?

	i)	$516$
	ii)	$561$
	iii)	$651$
	iv)	$615$

Question 6. The decryption exponent of the RSA PKC with the encryption exponent $13$ and the modulus $253$ is     .

	i)	$17$
	ii)	$49$
	iii)	$39$
	iv)	none of these

Question 7. The trace of Frobenius for the elliptic curve $E:y^2=x^3-x+2$ over ${𝔽}_3$ is     .

	i)	$0$
	ii)	$1$
	iii)	$2$
	iv)	$3$

Question 8. Let $E:y^2=x^3+3x$. Then the discriminant of the elliptic curve $E$ and     is same.

	i)	$y^2=x^3+x+1$
	ii)	$y^2=x^3+3x+2$
	iii)	$y^2=x^3+2$
	iv)	none of these