Discrete Mathematics Questions and Answers – Number Theory – Quadratic Residue and Pseudo Prime

This set of Discrete Mathematics online quiz focuses on “Number Theory – Quadratic Residue and Pseudo Prime”.

1. If there exist an integer x such that x² ≡ q (mod n). then q is called ______________
a) Quadratic Residue
b) Linear Residue
c) Pseudoprime
d) None of the mentioned
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2. If there exist no integer x such that x² ≡ q (mod n). then q is called __________
a) Quadratic Residue
b) Quadratic Nonresidue
c) Pseudoprime
d) None of the mentioned
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3. The Fermat’s little theorem for odd prime p and coprime number a is?
a) a^p-1 ≡ 1 (mod p)
b) a^p-1 ≡ 7 (mod p)
c) a^p(2)-1 ≡ 1 (mod p)
d) none of the mentioned
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4. 5 is quardratic non-residue of 7.
a) True
b) False
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5. 4 is quardratic residue of 7.
a) True
b) False
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6. 8 is quardratic residue of 17.
a) True
b) False
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7. 8 is quardratic residue of 11.
a) True
b) False
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8. Which of the following is a quardratic residue of 11?
a) 4
b) 5
c) 9
d) All of the mentioned
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9. What is pseudo prime number?
a) is a probable prime and is not a prime number
b) is a prime number
c) does not share any property with prime number
d) none of the mentioned
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10. Pseudo prime are classified based on property which they satisfy, which of the following are classes of pseudoprimes?
a) Fermat pseudoprime
b) Fibonacci pseudoprime
c) Euler pseudoprime
d) All of the mentioned
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