If 1 < x < y < z, which of the following has the greatest value? A) z(x+1) B) z(y+1) C) x(y+z) D) y(x+z) E) z(x+y) E

Hi AbeNeedsAnswers, We're told that 1 < X < Y < Z. We're asked which of the answers has the GREATEST value. This question can be solved by TESTing VALUES. IF... X = 2, Y = 3, Z = 4 Answer A: 4(3) = 12 Answer B: 4(4) = 16 Answer C: 2(7) = 14 Answer D: 3(6) = 18 Answer E: 4(5) = 20 Final Answer: E GMAT assassins aren't born, they're made, Rich

We could also do algebra. Here's how to compare D vs E, and from this you can extrapolate how to do the others: y * (x + z) vs z * (x + y) yx + yz vs xz + yz subtract yz from both sides: yx vs xz divide both sides by x: y vs z z is bigger, so the right side is bigger, so E > D.

AbeNeedsAnswers wrote:If 1 < x < y < z, which of the following has the greatest value? A) z(x+1) B) z(y+1) C) x(y+z) D) y(x+z) E) z(x+y) E We can let x = 2, y = 3, and z = 4, and we have: A) z(x+1) 4(3) = 12 B) z(y+1) 4(4) = 16 C) x(y+z) 2(7) = 14 D) y(x+z) 3(6) = 18 E) z(x+y) 4(5) = 20 Answer: E

[1] Assign Test Values Must follow rule: 1 4(2 + 1) = 12 B. z(y + 1) -> 4( 3 + 1) = 16 C. x(y + z) -> 2(3 + 4) = 14 D. y(x + z) -> 3(2 + 4) = 18 E. z(x + y) -> 4(2 + 3) = 20 Answer: E

x=2,y=3,z=4 , which satisfies the condition 1<x<y<z If we use this values in the answer options A. z(x + 1) = 4(3) = 12 B. z(y + 1) = 4(4) = 16 C. x(y + z) = 2(7) = 14 D. y(x + z) = 3(6) = 18 E. z(x + y) = 4(5) = 20 So max value we are getting is E.

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