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Let a, b ∈Z and n ∈N. (a) True/False: If a2 ≡ b2 (mod n), then...

Let a, b ∈Z and n ∈N.

(a) True/False: If a2 ≡ b2 (mod n), then a ≡ b (mod n).

(b) True/False: If a ≡ b (mod p) and a ≡ b (mod q) for distinct primes p and q, then a ≡ b (mod pq).

Justify your answers properly.

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