Asymmetric Ciphers Questions and Answers – Number Theory – III

This set of Cryptography Multiple Choice Questions & Answers (MCQs) focuses on “Number Theory – 3”.

1. gcd( 18,300) =
a) 4
b) 12
c) 8
d) 6
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2. ᶲ(37)=
a) 24
b) 22
c) 13
d) 36
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3. ᶲ(35)=
a) 24
b) 25
c) 22
d) 18
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4. ᶲ(21)=
a) 10
b) 12
c) 8
d) 14
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5.7³ mod 19 =
a) 18
b) 1
c) 14
d) 12
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6. 7^(3+j) mod 19 =
a) 7^j mod 19
b) 1 mod 19
c) 7³ + 7^j mod 19
d) All of the mentioned are true
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7. What is the period of 7^m mod 19?
a) 2
b) 3
c) 4
d) 5
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8. ᶲ(19)=
a) 14
b) 13
c) 18
d) 17
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9. What is the period of 11 (mod 19)
a) 2
b) 3
c) 4
d) 5
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10. What is the period of 17 (mod 19)
a) 5
b) 7
c) 9
d) 11
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11. What is the period of 9 (mod 19)
a) 12
b) 10
c) 11
d) 9
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12. How many primitive roots does Z<19> have?
a) 5
b) 8
c) 7
d) 6
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13. Which of the below properties are correct?
Consider the following Logarithmic Properties –
i) y = x^(log_x(y))
ii) log_x(1) = 1
iii) log_x(x) = 0
iv) log_x(yz) = log_x(y) + log_x(z)
v) log_x(y^r) – r x log_x(y)

a) 1st 2nd and 4th
b) 2nd 3rd and 5th
c) 2nd 4th and 5th
d) 1st 4th and 5th
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Sanfoundry Global Education & Learning Series – Cryptography and Network Security.

To practice all areas of Cryptography and Network Security, here is complete set of 1000+ Multiple Choice Questions and Answers.

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