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Is Y < 40? (1) Y - X > 40 (2) X + Y = 40

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Is Y < 40? (1) Y - X > 40 (2) X + Y = 40  [#permalink]

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New post Updated on: 21 Oct 2018, 04:02
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

58% (01:36) correct 42% (01:10) wrong based on 32 sessions

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Is Y < 40?

(1) Y - X > 40
(2) X + Y = 40


Source: Experts Global

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Originally posted by pushpitkc on 21 Oct 2018, 04:00.
Last edited by Bunuel on 21 Oct 2018, 04:02, edited 1 time in total.
Renamed the topic and edited the tags.
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Re: Is Y < 40?  [#permalink]

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New post 21 Oct 2018, 04:07
1
pushpitkc wrote:
Is Y < 40?

1. Y - X > 40
2. X + Y = 40

Source: Experts Global


As all we're given are equations, we'll work with them.
This is a Precise approach.

(1), (2) without additional information about X, this is unhelpful (consider negative vs. positive X).
Insufficient.

Combined.
Substituting (2) into (1) gives Y-X > X+Y which simplifies to X<0. Since X+Y=40, this implies that Y>40, meaning our answer is NO.
Sufficient.

(C) is our answer.
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Re: Is Y < 40?   [#permalink] 21 Oct 2018, 04:07
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Is Y < 40? (1) Y - X > 40 (2) X + Y = 40

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