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Let the coefficients of three consecutive terms T r , T r+1 and T r+2 in the binomial expansion of (a + b) 12 be in a G.P. and let p be the number of all possible values of r. Let q be the sum of all rational terms in the binomial expansion of ( ) 12 3 4 4 3 + . Then p + q is equal to :

1. 283
2. 295
3. 287
4. 299

Correct answer: 283

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