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Let a(1), a(2), and a(3) be three number...

Let `a_(1), a_(2)`, and `a_(3)` be three numbers in arithmetic progression while `g_(1), g_(2) `and `g_(3)` be three numbers in geometric progression. Also, the values of `a_(1)+g_(1)+g_(2)` and `a_(3) + g_(3)` are, respectively, 85, 76 and 84. If `sum_(i=1)^(3) a_(i) = 126`, then which of the following is not true?

A

There are two possible sets of A.P. and G.P.

B

The sum of possible common differences of A.P. is -1.

C

The common ratio of G.P. is 2.

D

None of these

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The correct Answer is:
D
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