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If there exist no integer x such that x^2 ≡ q (mod n). then q is called __________

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If there exist no integer x such that x^2 ≡ q (mod n). then q is called __________

(a) Quadratic Residue

(b) Quadratic Nonresidue

(c) Pseudoprime

(d) None of the mentioned

I had been asked this question during a job interview.

The question is from Number Theory topic in chapter Number Theory and Cryptography of Discrete Mathematics

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Correct choice is (b) Quadratic Nonresidue

To explain I would say: q is called quadratic nonresidue if it is not congurent to a perfect square modulo n.

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