The answer to exercise marked [BB] can be found in the Back of the Book.
Suppose a and b are integers, n> 1 is a natural number, and a ≡ b (mod n). True or false'? In each case, prove or give a counterexample.
(a) [BB] 3a ≡ b2(mod n)
(b) a2≡ b2 (mod n)
(c) a2 ≡ b3 (mod n)
(d) a2≡ b2 (mod n2)
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