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Home >> GRE>>GRE Maths Questions

Twenty Typical GRE Math Problems with Solutions

3) In the diagram above, AD = BE = 6 and CD = 3(BC). If AE = 8, then BC = ?

(A) 6
(B) 4
(C) 3
(D) 2
(E) 1

Answer: Choice E is correct. Since AE is a line segment and all the lengths are additive, AE = AD + DE. We know that AD = 6 and AE = 8. So DE = AE - AD = 8 - 6 = 2. We also know that BE = 6. So BD = BE - DE = 6 - 2 = 4. We know BD is 4, but need to find BC.

Since CD = 3(BC), we can solve for BC: x + 3x = 4. x = 1.

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