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TAC3121-Quiz 2

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Two numbers a, b are relatively prime if they have only 1 as their common divisor.

a)

True

b)

False

2.

Given p = 17, then every number from 1 to 16 is relatively prime to p and has exactly one inverse mod p .

a)

True

b)

False

3.

GCD(15, 60) = 5

a)

True

b)

False

4.

Extended Euclidean algorithm is used to compute the greatest common divisor GCD.

a)

True

b)

False

5.

The multiplicative inverse of 4 mod 7 is 3.

a)

True

b)

False

6.

Following Fermat’s Theorem, 312 = 1 mod 13.

a)

True

b)

False

7.

Euler Totient Function Φ(9) = 4.

a)

True

b)

False

8.

Following Euler's Theorem, 74 = 1 mod 10.

a)

True

b)

False

9.

Discrete Logarithm problem is a more difficult problem than Computational Diffie-Hellman problem.

a)

True

b)

False

10.

Chinese Remainder Theorem works on mi separately which provides faster computation than working in the full modulus M.

a)

True

b)

False