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# Is x greater than y ? (1) 3x = 4y (2) x = k/3, y= k/4 and k > 0

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Math Expert
Joined: 02 Sep 2009
Posts: 52295
Is x greater than y ? (1) 3x = 4y (2) x = k/3, y= k/4 and k > 0  [#permalink]

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06 Feb 2018, 05:10
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Question Stats:

52% (01:17) correct 48% (01:06) wrong based on 33 sessions

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Is x greater than y ?

(1) 3x = 4y

(2) x = k/3, y= k/4 and k > 0

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Joined: 21 Aug 2013
Posts: 1432
Location: India
Re: Is x greater than y ? (1) 3x = 4y (2) x = k/3, y= k/4 and k > 0  [#permalink]

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06 Feb 2018, 09:40
1
Bunuel wrote:
Is x greater than y ?

(1) 3x = 4y

(2) x = k/3, y= k/4 and k > 0

(1) 3x = 4y or x = 4/3 y
Now if y = 3, x = 4 (here x > y)
But if y = -3, x = -4 (here x < y)
So not sufficient.

(2) k = 3x, k = 4y. This means 3x = 4y or x = 4/3 y or x = y + y/3
Also since k > 0, x and y also both must be positive.
Clearly x > y because to get x, we need to add y/3 to y (a positive value added to another positive value)
Sufficient.

Re: Is x greater than y ? (1) 3x = 4y (2) x = k/3, y= k/4 and k > 0 &nbs [#permalink] 06 Feb 2018, 09:40
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