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

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If 1 < x < y < z, which of the following has the greatest value?  [#permalink]

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New post 16 Jun 2017, 04:58
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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)

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If 1 < x < y < z, which of the following has the greatest value?  [#permalink]

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New post 16 Jun 2017, 06:14
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Plug values 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

Therefore, z(x+y) - Option E has the greatest value.
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Re: If 1 < x < y < z, which of the following has the greatest value?  [#permalink]

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New post 15 Nov 2017, 16:43
AbdurRakib 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)


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
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Re: If 1 < x < y < z, which of the following has the greatest value?  [#permalink]

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New post 07 Apr 2018, 20:15
whenever we see that there are variables in all answer choices and variables in the question (without clear values) then we can pick easy number(s), and apply the numbers across all the options and see which option gives the required result. In this case, as the above posters have pointed out, we can pick numbers as x=2, y=3, and z=4 and apply then to all the options, finding that option (E) gives the largest result. So E is the answer
Re: If 1 < x < y < z, which of the following has the greatest value? &nbs [#permalink] 07 Apr 2018, 20:15
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