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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If x > y >0, a < 0 and b > 0, then which of the following is (are) tru

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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8005
GMAT 1: 760 Q51 V42 GPA: 3.82
If x > y >0, a < 0 and b > 0, then which of the following is (are) tru  [#permalink]

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Difficulty:   15% (low)

Question Stats: 81% (01:35) correct 19% (02:27) wrong based on 61 sessions

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[GMAT math practice question]

If $$x > y >0, a < 0$$ and $$b > 0$$, then which of the following is (are) true?

Ⅰ. $$ax+by > 0$$
Ⅱ. $$ax-by > 0$$
Ⅲ. $$by-ax > 0$$

A. Ⅰonly
B. Ⅱ only
C. Ⅲ only
D.Ⅰ& Ⅱ only
E. Ⅱ & Ⅲ only

_________________

Originally posted by MathRevolution on 05 Apr 2018, 04:36.
Last edited by MathRevolution on 09 Apr 2018, 23:19, edited 2 times in total.
Senior PS Moderator D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 737
GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru  [#permalink]

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1
...which of the following is (are) positive you mean? Best,
_________________
Regards,

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1256
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru  [#permalink]

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Please recheck your question. It seems the question asks if the following is positive?
1)ax +by.
Here ax is negative but we don't know the value of b. Hence it is not possible to define if ax+by is positive or not.
2)ax-by.
Here ax is negative and by is positive. So ax-by is negative.
3) by-ax
Here by is positive and ax is negative. Hence by -ax = positive.

Answer C, only III gives positive value.

MathRevolution wrote:
[GMAT math practice question]

If $$x > y >0, a < 0$$ and $$b > 0$$, then which of the following is (are) true?

Ⅰ. $$ax+by$$
Ⅱ.$$ax-by$$
Ⅲ. $$by-ax$$

A. Ⅰonly
B. Ⅱ only
C. Ⅲ only
D.Ⅰ& Ⅱ only
E. Ⅱ & Ⅲ only

_________________
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8005
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru  [#permalink]

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=>

Statement I.
$$x = 2, y = 1, a = -1, b = 1$$: False

Statement II.
$$x = 2, y = 1, a = -1, b = 1$$: False

Statement III.
Since $$a < 0$$ and $$x > 0, -ax > 0.$$ And by $$> 0$$ since $$b > 0$$ and $$y > 0$$.
$$by – ax = by + (-ax) > 0$$. True

Therefore, C is the answer.

_________________
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1256
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru  [#permalink]

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Kindly revise the question.
"Positive" is missing in question stem.

Regards

MathRevolution wrote:
=>

Statement I.
$$x = 2, y = 1, a = -1, b = 1$$: False

Statement II.
$$x = 2, y = 1, a = -1, b = 1$$: False

Statement III.
Since $$a < 0$$ and $$x > 0, -ax > 0.$$ And by $$> 0$$ since $$b > 0$$ and $$y > 0$$.
$$by – ax = by + (-ax) > 0$$. True

Therefore, C is the answer.

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_________________ Re: If x > y >0, a < 0 and b > 0, then which of the following is (are) tru   [#permalink] 08 Apr 2018, 19:02
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If x > y >0, a < 0 and b > 0, then which of the following is (are) tru

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