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I'm preparing for GRE Math. I regconize that Abstract Algebra is the most tough. Here is one of its problem, Any suggestion!!!.

Thank you in advance.

Let p and q be distinct primes. There is a proper subgroup J of the additive group of integers which contains exactly three elements

of the set {p,p+q,pq, p^q,q^p}, which three elements are in J.

A. pq, p^q, q^p

B. p+q,pq, p^q

C. p,p+q, pq

D. p,p^q,q^p

E. p, pq,p^q

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