Question 1. In a certain cipher language ‘BIKE’ is encrypted as ‘YFHB’ and ‘CAR’ is encrypted as ‘ZXO’. Then ‘SCOOTER’ can be encrypted as     .

	i)	VFRRWHU
	ii)	PYVVAHJ
	iii)	JZKKMCO
	iv)	PZLLQBO

Question 2. The encryption function in the substitution cipher must be     .

	i)	constant
	ii)	onto
	iii)	one-one
	iv)	none of these

Question 3. If the input is $O(k)$ bits long and it takes $O(k^2)$ steps to solve a problem, then it is said to be solvable in     time.

	i)	linear
	ii)	bilinear
	iii)	quadratic
	iv)	exponential

Question 4. Which of the following is square root of $28$ modulo $31$?

	i)	$3$
	ii)	$9$
	iii)	$14$
	iv)	$20$

Question 5. Which of the following is not a Carmichael number?

	i)	$561$
	ii)	$1105$
	iii)	$1729$
	iv)	$2024$

Question 6. $\pi (16)=$     .

	i)	$15$
	ii)	$8$
	iii)	$6$
	iv)	none of these

Question 7. The order of the point $(3,0)$ on the elliptic $Y^2=X^3-15X+18$ is     .

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

Question 8. The discriminant of an elliptic curve given by $E:Y^2=X^3+AX+B$ is     .

	i)	$4A^2+27B^3$
	ii)	$27A^3+4B^2$
	iii)	$27A^2+4B^3$
	iv)	$4A^3+27B^2$