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In the triangle shown y < z. If j < x < k, what is the least value of

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In the triangle shown y < z. If j < x < k, what is the least value of  [#permalink]

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New post 13 Apr 2018, 01:46
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

53% (01:56) correct 47% (01:55) wrong based on 72 sessions

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Re: In the triangle shown y < z. If j < x < k, what is the least value of  [#permalink]

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New post 13 Apr 2018, 01:51
1
IMO C

Diff in other 2 sides length<side length< Sum of other 2 sides length
we need to know both the sides
12<x<22

k=22
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Re: In the triangle shown y < z. If j < x < k, what is the least value of  [#permalink]

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New post 13 Apr 2018, 01:53
Bunuel wrote:
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In the triangle shown y < z. If j < x < k, what is the least value of k?

(1) y = 5
(2) z = 17


Attachment:
2018-04-13_1243.png


For x, y , z to form a triangle.

x has to be greater than z - y & less than z + y. ( otherwise there will not be a triangle possible, the sum of two sides of a triangle must be greater than the third)

We also know z > y

(1) Gives us value of y. Hence x is bound by : z - 5 < x < z + 5 Hence Insufficient as we do not know z.

(2) Gives us value of z. Hence x is bound by : 17 - y < x < 17 + y Hence Insufficient as we do not know what y is and lower bound is undefined.

(1) + (2) : Bounds on x are : 17 - 5 < x < 17 + 5

12 < x < 22

Hence x < j so 12 < j Suff

Hence Option (C) is our answer.

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Re: In the triangle shown y < z. If j < x < k, what is the least value of  [#permalink]

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New post 12 Jan 2019, 04:53
I agree that when you combine statements 1+2 you get: 12<x<22.

But you cannot assume that j,k are integers. Hence, although the least possible value of k is bigger than 12, we cannot calculate the exact value of k.

k can be 12.01 (and x can be 12.005), k can be 12.001 (and x can be 12.0005) and so on.

Hence answer E is correct.

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Re: In the triangle shown y < z. If j < x < k, what is the least value of  [#permalink]

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New post 12 Jan 2019, 10:13
I also agree that it's E. Sure X is less than 22, but it's also less than 23, 24, and so on.
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Re: In the triangle shown y < z. If j < x < k, what is the least value of   [#permalink] 12 Jan 2019, 10:13
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