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 Your Progress
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.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Does GMAT RC seem like an uphill battle? e-GMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT
Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x
[#permalink]
Show Tags
18 Jun 2013, 00:40
2
Smita04 wrote:
If xy < 4, is x < 2 ?
(1) y > 1 (2) y > x
From F.S 1, when y = 4, x = 0.5, xy<4 and x<2.Hence a YES for the question stem. However, for y = 3/2 and x = 2, xy<4 and x=2, hence a NO for the question stem.Insufficient.
From F. S 2, we know that y>x.
Had y been equal to x, we would have x*x<4 --> |x|<2 --> -2<x<2
However, as y>x, to maintain the above given inequality, the value of x will have to reduce even further. Thus, x <2. Sufficient.
Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x
[#permalink]
Show Tags
27 Jul 2013, 21:52
nguyenduong wrote:
- A is insufficient. - Option B. what if x or y is negative integer. I don't see you mentioned it in your answer.
nguyenduong,
Interpretation should be based on given (true) statements. Given here xy<4 and for pt. (2) y>x.
Take any signs, y has to be greater than x or greater part of the multiplication with x resulting in a product smaller than 4. Consider if xy was 4 (xy=4) and y=x then both x & y would have been + /- 2. Now when the product reduces (product < 4), x has to be always less than the equal contribution i.e. 2.
Hope I could explain.
_________________
------- IaintGivinUp! GMAT assassins aren't born, they are made.
Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x
[#permalink]
Show Tags
28 Jul 2013, 04:48
nguyenduong wrote:
- A is insufficient. - Option B. what if x or y is negative integer. I don't see you mentioned it in your answer.
The question asks whether x<2. Now, for (2) if x is negative, then x<0<2 and if y is negative, then x<y<0<2. In either case we have an YES answer to the question.
_________________
If xy < 4, is x < 2 ? (1) y > 1 (2) y > x
[#permalink]
Show Tags
15 Jul 2015, 11:53
getbetter wrote:
Hi Folks, does the method below looks ok?
1) xy <4 -4y<-4 y(x-4) <0 y<0 and x < 4 not suff
2) xy<4 xy^2 <4y 4x < 4y x(y^2 -4) <0
x <0 suff.
1) Where are you getting the above text in red from? How do you get y (x-4) < 0 ? Even if I assume that what you have written in correct, where are you getting y<0 from?
2) Text in blue is only possible if y>0. You need to reverse the inequality if y <0. Statement 2 just mentions that y>x and it does not tell us that x>0 to make y>0 at the same time. Also, how are you getting x(y^2-4)<0 from 4x<4y?
Based on your solution, you were lucky to get to the correct answer and it does not look correct. Maybe, if you could write out all the steps clearly, we can take a look again.
If xy < 4, is x < 2 ? (1) y > 1 (2) y > x
[#permalink]
Show Tags
15 Jul 2015, 16:09
1
getbetter wrote:
Sure let me explain step by step:
1) xy <4 ———(1)
y > 1 -> 1<y -> -y<-1 multiply both sides by 4 : -4y<-4 ————(2)
(1)+(2) xy - 4y < 0 y(x-4) <0 y<0 and x < 4 not suff.
2) xy<4
multiply both sides by ‘y’: xy^2 < 4y ————(1) y > x Multiply both sides by 4: 4x < 4y —————(2)
(1)-(2):
x(y^2 -4) <0
x <0 suff.
Ok, this looks better now.
Text in green: correct! Text in red: incorrect
1) xy <4 ———(1)
y > 1 -> 1<y -> -y<-1 multiply both sides by 4 : -4y<-4 ————(2)
(1)+(2) xy - 4y < 0 y(x-4) <0 ------ (3) y<0 and x < 4 not suff.
From 3, you know that y (x-4)<0 ---> this means 2 cases:
either y<0 and x>4 (not possible as given y>1) or y>0 and x<4 . Even if we have x<4, x can be 3 or 1.5 , thus x <2 may or may not be true. Thus this statement is not sufficient.
2) xy<4
multiply both sides by ‘y’: xy^2 < 4y ————(1) y > x Multiply both sides by 4: 4x < 4y —————(2)
(1)-(2):
x(y^2 -4) <0
x <0 suff.
How do you know whether y < or > 0 when you multiply xy<4 by y? if y is >0 then yes what you did is correct, but if y < 0 , then xy *y > 4y. The thing to remember here is that DO NOT multiply an inequality by a variable when you do not know the sign of that variable.
Alternately, what you can do is :
xy < 4 and y >x , ---> as x<y ----> \(x^2 < 4\) (as x<y and xy < 4 ----> \(x^2< xy <y^2\)) ----> -2<x<2 and thus this statement is sufficient to say x<2. Thus B is the correct answer.
Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x
[#permalink]
Show Tags
18 Jul 2015, 09:52
given: xy<4 ;is x<2?
from(1) y>1=> y can be any +ve number(not specifically Integer);say y= 1.5 than x>2 but if y=3 than x<2 Hence Not sufficient from(2) y>x; Take the worst case when y=x than both will have value 4; but as y grows more than 2 value of x has to go below 2 in order for Y to be greater than x. Since already xy<4 hence x has to be less than 2 Hence Sufficient _________________
Thanks Sindbad ---------------- Click +1 Kudos if my post helped...
Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x
[#permalink]
Show Tags
24 May 2019, 01:07
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.
_________________
close
61% (01:57) correct 
