Last visit was: 24 Jul 2024, 06:07 It is currently 24 Jul 2024, 06:07
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# If |a/b| and |x/y| are reciprocals and a/b*x/y < 0, which of the follo

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94605
Own Kudos [?]: 643513 [60]
Given Kudos: 86734
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11485
Own Kudos [?]: 34578 [14]
Given Kudos: 325
General Discussion
Intern
Joined: 29 Aug 2018
Posts: 28
Own Kudos [?]: 2 [0]
Given Kudos: 23
Intern
Joined: 14 Jan 2020
Posts: 26
Own Kudos [?]: 43 [1]
Given Kudos: 27
GMAT 1: 760 Q51 V41
Re: If |a/b| and |x/y| are reciprocals and a/b*x/y < 0, which of the follo [#permalink]
1
Kudos
Bunuel wrote:
If $$|\frac{a}{b}|$$ and $$|\frac{x}{y}|$$ are reciprocals and $$\frac{a}{b}*\frac{x}{y} < 0$$, which of the following must be true?

A. $$ab < 0$$

B. $$\frac{a}{b} (\frac{x}{y}) < -1$$

C. $$\frac{a}{b} < 1$$

D. $$\frac{a}{b} = \frac{-y}{x}$$

E. $$\frac{y}{x} > \frac{a}{b}$$

the modulus fractions are reciprocals of each other : $$|\frac{a}{b}|$$ * $$|\frac{x}{y}|$$ =1
$$\frac{a}{b}*\frac{x}{y} < 0$$ : the fractions have opposite signs (since product is negative)
thus $$\frac{a}{b}*\frac{x}{y} =-1$$
$$\frac{a}{b} = \frac{-y}{x}$$
D
Manager
Joined: 12 Mar 2019
Posts: 182
Own Kudos [?]: 105 [1]
Given Kudos: 105
Re: If |a/b| and |x/y| are reciprocals and a/b*x/y < 0, which of the follo [#permalink]
1
Kudos
DaniyalAlwani wrote:
chetan2u

In you explanation you assumed product of both the reciprocals equals to 1. Why is that? Question doesn't mention it plus it could've also said a/b * b/a. Then it would've been fair for product to be 1. Kindly explain please

question mentions that a/b and x/y are reciprocals i.e reciprocals of each other, so product will be 1, As product is less than < 0, so a/b*x/y = -1.

Hope i am able to make it clear
Intern
Joined: 22 Nov 2020
Posts: 6
Own Kudos [?]: 10 [1]
Given Kudos: 274
Schools: MBS'23 Gies
GMAT 1: 710 Q49 V38
If |a/b| and |x/y| are reciprocals, then, which of the following must [#permalink]
1
Bookmarks
Bunuel wrote:
If $$|\frac{a}{b}|$$ and $$|\frac{x}{y}|$$ are reciprocals, then, which of the following must be true?

(A) $$ab < 0$$

(B) $$\frac{a}{b}*\frac{x}{y }< -1$$

(C) $$\frac{a}{b }< 1$$

(D) $$\frac{a}{b }= -\frac{y}{x}$$

(E) $$\frac{y}{x }> \frac{a}{b}$$

I think something is missed. The facts given in the question are not enough to go further. (such as signs of x and y or correlation between variables)
Director
Joined: 06 Dec 2021
Posts: 520
Own Kudos [?]: 547 [0]
Given Kudos: 737
Location: India
GPA: 4
WE:Human Resources (Telecommunications)
Re: If |a/b| and |x/y| are reciprocals and a/b*x/y < 0, which of the follo [#permalink]
Bunuel
It is given that |a/b| and |x/y| are reciprocals (implies a=y and b=x) therefore, there product should always be 1, because if one of them a (or b) is negative we will always have one more negative i.e y (or x) and product of two negative is positive.

Therefore, the condition given (a/b)*(x/y) < 0 is not a valid condition. As reciprocals are true irrespective of absolute values.

Or please let me know if I am missing something here.
Non-Human User
Joined: 09 Sep 2013
Posts: 34061
Own Kudos [?]: 853 [0]
Given Kudos: 0
Re: If |a/b| and |x/y| are reciprocals and a/b*x/y < 0, which of the follo [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: If |a/b| and |x/y| are reciprocals and a/b*x/y < 0, which of the follo [#permalink]
Moderator:
Math Expert
94605 posts