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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
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A
B
C
D
E

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  55% (hard)

Question Stats:

60% (01:31) correct 40% (01:29) wrong based on 30 sessions

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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
2018-04-13_1243.png [ 3.02 KiB | Viewed 228 times ]

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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
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.

Best,
Gladi
Re: In the triangle shown y < z. If j < x < k, what is the least value of &nbs [#permalink] 13 Apr 2018, 01:53
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