Multiple choice

The letters A, B, C, D, E, F and G, not necessarily in that order, stand for seven consecutive integers from 1 to 10 D is 3 less than A B is the middle term F is as much less than B as C is greater than D G is greater than F

A is as much greater than F as which integer is less than G

  1. A

  2. B

  3. C

  4. D

  5. E
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A Correct answer
Explanation

The relationship A - F = G - X can be rearranged as A + X = F + G. We need to find which integer X makes this equation true. From the constraints, when we solve the complete system, we find that A - F = 3 and G - C = 3. Therefore, X = C satisfies the equation: A - F = G - C.

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