If 1 < x < y < z, which of the following has the greatest value?

Correct answer marked below

z(x + 1)

z(y + 1)

x(y + z)

y(x + z)

z(x + y)

Correct

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Explanation

Create a free account to reveal the correct answer, see the step-by-step explanation, and start tracking your GMAT progress.

Comments

RishabhMay 16

thanks, this one was quick once you spot the pattern

MeiirkhanMay 22

what pattern? i just plugged in 2,3,4 and compared lol

RajMay 17

yeah same, numbers made it way easier

YashikaMay 4

Wait, why isn't D bigger? y(x+z) kinda looks bigger than z(x+y) to me at first glance.

NickMay 7

try actual numbers, x=2 y=3 z=4 and it clears up fast

SriApr 29

is this really sub-505? felt a bit tricky with all the x+y+z terms flying around

SnehamMay 4

plugging in small numbers like 2,3,4 saved me here. easy to overthink otherwise

What this question tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.