GMAT Data Sufficiency (DS) | If integers p and q are the roots of the equation ax^2 + bx + c = 0, w

We know that, Sum of the roots= p+q= -b/a AND Product of the roots= pq= c/a

From statement 1, |p+1|= |q-3| , i have taken 2 cases;
Case1- let p=4, q=8; then -b/a= 12, c/a=32
Case2- let p=-5 , q= 7; then -b/a= 2, c/a= -35
not sufficient as we get different answers

From statement 2, HCF of |p| and |q| =2 and LCM of |p| and |q| =12
Different combinations are possible= (12, 2), (-12,- 2), (-12 , 2), (-2 , 12), (4, 6), (-4 ,-6), (-4, 6) and (-6, 4)
not sufficient as we get different answers

Combining
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