1. What is the Discrete logarithm to the base 10 (mod 19) for a =7?

a) 12

b) 14

c) 8

d) 11

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2. 3^{201} mod 11 =

a) 3

b) 5

c) 6

d) 10

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^{(p–1)}= 1 (mod p). Therefore 3

^{10}= 1 (mod 11). Therefore 3^201 = (3

^{10})

^{20}x 3 = 3 (mod 11).

3. Find a number x between 0 and 28 with x^85 congruent to 6 mod 29.

a) 22

b) 12

c) 6

d) 18

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4. What is the Discrete logarithm to the base 13 (mod 19) for a =13?

a) 14

b) 1

c) 8

d) 17

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5. What is the Discrete logarithm to the base 15 (mod 19) for a =9?

a) 3

b) 7

c) 12

d) 4

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6. Find a number x between 0 and 28 with x^{85} congruent to 6 mod 35.

a) 6

b) 32

c) 8

d) 28

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7. Find a number ‘a’ between 0 and 72 with ‘a’ congruent to 9794 mod 73.

a) 53

b) 29

c) 12

d) 37

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8. What is the Discrete logarithm to the base 2 (mod 19) for a =7?

a) 3

b) 4

c) 6

d) 9

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9. ᶲ(41)=

a) 40

b) 20

c) 18

d) 22

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10. ᶲ(27)=

a) 6

b) 12

c) 26

d) 18

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^{3}– 3

^{2}= 27 – 9 = 18.

11. Find a number ‘a’ between 0 and 9 such that ‘a’ is congruent to 7^1000 mod 10.

a) 2

b) 1

c) 3

d) 4

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12. ᶲ(440)=

a) 200

b) 180

c) 160

d) 220

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13. GCD(n,n+1) = 1 always.

a) True

b) False