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# Robots K, L and M assemble components at their respective constant res

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Intern
Joined: 24 Mar 2018
Posts: 8
Robots K, L and M assemble components at their respective constant res  [#permalink]

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24 Mar 2018, 07:37
5
00:00

Difficulty:

95% (hard)

Question Stats:

25% (03:10) correct 75% (02:00) wrong based on 78 sessions

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Robots K, L and M assemble components at their respective constant rates. Does robot L have the greatest constant rate of assembling among the three robots?

(1) The ratio of the constant rates of assembling of K and L is not more than that of L and M.
(2) The ratio of the constant rates of assembling K and L is not less than that of L and M.

Source: TIME (Computer Based Tests Series)
Manager
Joined: 30 Mar 2017
Posts: 136
GMAT 1: 200 Q1 V1
Robots K, L and M assemble components at their respective constant res  [#permalink]

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Updated on: 25 Mar 2018, 05:02
Statement 1

$$\frac{K}{L}<=\frac{L}{M}$$
$$KM<=L^2$$

We can have K=1, M=2, L=3, which makes L the greatest and the answer to the question is YES.
We can have K=1/4, M=4, L=1, which does not make L the greatest and the answer to the question is NO.
Not sufficient.

Statement 2

$$\frac{K}{L}>=\frac{L}{M}$$
$$KM>=L^2$$

L cant be greater than the greater of (K,M). E.g. if K=3 and M=6, then L cant be greater than 6 and answer to the question is NO.
Sufficient.

Originally posted by aserghe1 on 24 Mar 2018, 16:58.
Last edited by aserghe1 on 25 Mar 2018, 05:02, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 50059
Re: Robots K, L and M assemble components at their respective constant res  [#permalink]

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25 Mar 2018, 01:07
hetmavani wrote:
Robots K, L and M assemble components at their respective constant rates. Does robot L have the greatest constant rate of assembling among the three robots?

(1) The ratio of the constant rates of assembling of K and L is not more than that of L and M.
(2) The ratio of the constant rates of assembling K and L is not less than that of L and M.

Source: TIME (Computer Based Tests Series)

Similar question frop OG: https://gmatclub.com/forum/robots-x-y-a ... 39477.html
_________________
Re: Robots K, L and M assemble components at their respective constant res &nbs [#permalink] 25 Mar 2018, 01:07
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